Using finite element method in the processof strength calculation for the pipeline supports in above-groundarea of "Zapolyar'e — NPS "PUR-PE" oil pipeline

Vestnik MGSU 1/2014
  • Surikov Vitaliy Ivanovich - Research Institute of Oil and Oil Products Transportation (NII TNN) Deputy Director General for the Technology of Oil and Oil Products Transportation, Research Institute of Oil and Oil Products Transportation (NII TNN), 9-5, 2 Verhniy Mikhaylovskiy proezd, 115419, Moscow, Rus- sian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Varshitskiy Viktor Mironovich - Research Institute of Oil and Oil Products Transportation (NII TNN) Candidate of Technical Sciences, head, Department of Strength and Stability Calculation of Pipelines and Main Oil Pipelines Equipment, Research Institute of Oil and Oil Products Transportation (NII TNN), 9-5, 2 Verhniy Mikhaylovskiy proezd, 115419, Moscow, Rus- sian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Bondarenko Valeriy Vyacheslavovich - Limited Liability Company "Konar" ("Konar") Candidate of Technical Sciences, director, Limited Liability Company "Konar" ("Konar"), 5 Hlebozavodskaya st, 454038, Chely- abinsk, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Korgin Andrey Valentinovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Academic Advisor, Scientific and Educational Center of Engineering Investigations and Building Struc- tures Monitoring of the Chair of the Test of Structures, Moscow State University of Civil Engineering (MGSU), ; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Bogach Andrey Anatol'evich - Research Institute of Oil and Oil Products Transportation (NII TNN) Candidate of Physical and Mathematical Sciences, chief specialist, Department of Strength and Stability Calculation of Pipelines and Main Oil Pipelines Equipment, Research Institute of Oil and Oil Products Transportation (NII TNN), 9-5, 2 Verhniy Mikhaylovskiy proezd, 115419, Moscow, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 66-74

The present article studies a procedure of calculating the strength of pipeline support constructions of the above-ground oil trunk pipeline system «Zapolyar'e — oil pumping station «Pur-pe». The calculations of the supports stress-strain state are performed with the use of computer complex Ansys v13, which applies the finite element method. The article provides a short description of the construction of fixed, linear-sliding and free-sliding supports of the oil pipeline of above-ground routing, developed for the installation in complex climatic and geologic conditions of the far north. According to the operation specification for design — the support constructions have to maintain the resistance power and bearing capacity under the influence of the pipeline stress without sagging and considering the possible sagging of the neighboring support. The support constructions represent space structures with a complex geometry. Together with the complex geometry, contacting elements are present in the construction of the supports. There is also an interaction of the pile foundation and the nonhomogeneous foundation. The enumerated peculiarities of the construction and operating conditions of the supports considerably complicate the strength calculations by engineering methods. The method of numerical modeling (finite element method) used in the article for the analysis of the supports’ operation under the stress is widely applied at the present time for calculations of space structures with a complex geometry. For the first time, while performing the supports’ strength calculations, the article considers the mutual deformation of the support, foundation grill and pile foundation in the ground, thus making it possible to consider real operation of the construction altogether. The main development stages of the calculation model “support — pile foundation — ground” in ANSYS, calculation and testing of the static strength of the support constructions are discussed in the article. The authors provide the calculation examples of the supports' stress-strain state for unfavorable combination of loads with maximum bending moment for a fixed support and maximum vertical force and maximum longitudinal-lateral displacement of the top part for a free-sliding support. The use of modern approaches to the operation modeling of the support constructions allows avoiding the excessive conservatism in estimating the stress-strain state of the supports and allows developing the construction optimal for metal intensity, while meeting the requirements for allowable stresses according to the actual normative documents.

DOI: 10.22227/1997-0935.2014.1.66-74

References
  1. Kazakevich M.I., Lyubin A.E. Proektirovanie metallicheskikh konstruktsiy nadzemnykh promyshlennykh truboprovodov [Metal Structures Design for Above-ground Industrial Pipelines]. 2nd Edition. Kiev, Budivel'nik Publ., 1989, 160 p.
  2. Petrov I.P., Spiridonov V.V. Nadzemnaya prokladka truboprovodov [Above-ground Pipelining]. Moscow, Nedra Publ., 1973, 472 p.
  3. Bykov L.I., Avtakhov Z.F. Otsenka vliyaniya usloviy na rabotu balochnykh truboprovodnykh sistem [Estimating the Conditions Influence on the Beam Pipelines Operation]. Izvestiya vuzov. Neft' i gaz [News of the Universities of Higher Education. Oil and Gas]. 2003, no. 5, pp. 79—85.
  4. Basov K.A. ANSYS: spravochnik pol'zovatelya [ANSYS. The User's Guide]. Moscow, DMK Press Publ., 2005, 640 p.
  5. Lawrence K.L. ANSYS Tutorial Release 13. Schroff Development Corporation, 2011.
  6. Seleznev V.E., Aleshin V.V., Pryalov S.N. Osnovy chislennogo modelirovaniya magistral'nykh truboprovodov [Intro to Numerical Simulations of Major Pipelines]. Moscow, KomKniga Publ., 2005, 496 p.
  7. Seleznev V.E., Aleshin V.V., Pryalov S.N. Matematicheskoe modelirovanie magistral'nykh truboprovodnykh sistem: dopolnitel'nye glavy [Mathematic Simulation of Major Pipelines Systems: Additional Chapters]. Moscow, MAKS Press Publ., 2009, 356 p.
  8. Lawrence K.L. ANSYS Workbench Tutorial, Structural&Thermal Analysis Using the ANSYS Workbench Release 13. Enviroment, Schroff Development Corporation, 2011.
  9. Crisfield M.A. Non-linear Finite Element Analysis of Solids and Structures. In two volumes. John Wiley & Sons, Chichester, 2000, 2 vols.
  10. Erdogan Madenci and Ibrahim Guven. The Finite Element Method and Applications in Engineering Using ANSYS, Springer, 2005, 686 p.
  11. Podgornyy A.N., Gontarovskiy P.P., Kirkach B.N. Zadachi kontaktnogo vzaimodeystviya elementov konstruktsiy [The Tasks of Contact Interaction of a Construction Elements]. Kiev, Naukova dumka Publ., 1989, 232 p.

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DEVELOPMENT OF METHODS FOR STABILITY ANALYSIS OF TOWER CRANES

Vestnik MGSU 12/2017 Volume 12
  • Sinel'shchikov Aleksey Vladimirovich - Astrakhan State University of Architecture and Civil Engineering (ASUACE) Candidate of Technical Sciences, Associate Professor, Astrakhan State University of Architecture and Civil Engineering (ASUACE), 18 Tatishcheva st., Astrakhan, 414056, Russian Federation.
  • Dzhalmukhambetov Abay Ibatullaevich - Astrakhan State University of Architecture and Civil Engineering (ASUACE) Assistant, Department of Industrial and Civil Construction, Astrakhan State University of Architecture and Civil Engineering (ASUACE), 18 Tatishcheva st., Astrakhan, 414056, Russian Federation.

Pages 1342-1351

Tower cranes are one of the main tools for execution of reloading works during construction. Design of tower cranes is carried out in accordance with RD 22-166-86 “Construction of tower cranes. Rules of analysis”, according to which to ensure stability it is required not to exceed the overturning moment upper limit. The calculation of these moments is carried out with the use of empirical coefficients and quite time-consuming. Moreover, normative methodology only considers the static position of the crane and does not take into account the presence of dynamic transients due to crane functioning (lifting and swinging of the load, boom turning) and the presence of the dynamic external load (e.g. from wind for different orientations of the crane). This paper proposes a method of determining the stability coefficient of the crane based on acting reaction forces at the support points - the points of contact of wheels with the crane rail track, which allows us, at the design stage, to investigate stability of tower crane under variable external loads and operating conditions. Subject: the safety of tower cranes operation with regard to compliance with regulatory requirements of ensuring their stability both at the design stage and at the operational stage. Research objectives: increasing the safety of operation of tower cranes on the basis of improving methodology of their design to ensure static and dynamic stability. Materials and methods: analysis and synthesis of the regulatory framework and modern research works on provision of safe operation of tower cranes, the method of numerical simulation. Results: we proposed the formula for analysis of stability of tower cranes using the resulting reaction forces at the supports of the crane at the point of contact of the wheel with the rail track.

DOI: 10.22227/1997-0935.2017.12.1342-1351

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Concrete-faced rockfill dams: experience in study of stress-strain state

Vestnik MGSU 2/2019 Volume 14
  • Soroka Vladislav B. - SpetsNovostroy engineer, SpetsNovostroy, 20 Communal quarter, Krasnogorsk, 143405, Russian Federation.
  • Sainov Mikhail P. - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, Associate Professor of Department of Hydraulics and Hydraulic Engineering, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.
  • Korolev Denis V. - Moscow State University of Civil Engineering (National Research University) student, Moscow State University of Civil Engineering (National Research University), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.

Pages 207-224

Introduction. At present the urgent problem in hydraulic construction is establishing the causes of crack formation in seepage-control reinforced concrete faces at a number of rockfill dams. For solving this problem the studies are conducted of stress-strain state (SSS) of concrete-faced rockfill dams which are fulfilled by different methods. Materials and methods. Gives a review and analysis of the results of studies of stress-strain state of concrete-faced rockfill dams (CFRD) fulfilled by different authors over the last 15 years. The results of analytical, experimental and numerical studies are considered. Descriptions are given of the models used for simulation of non-linear character of rockfill deformation at numerical modeling of dam SSS. Results. Analysis showed that solving the problem of CFRD SSS causes a number of methodological difficulties. At present the only method permitting study of CFRD SSS is numerical modeling. The rest methods do not permit considering the impact of important factors on SSS. Large complications are caused by scarce knowledge of rockfill deformation properties in real dams. Conclusions. It was revealed that at present SSS of reinforced concrete faces has been studied insufficiently. The results of conducted studies do not give full and adequate understanding about operation conditions of reinforced concrete faces. Impact of various factors on the face SSS has not been studied. Besides, there are contradictions in the results of studies obtained by different authors. Differences in the results are based on objective and subjective reasons. A considerable obstruction for numerical studies is complicated modeling of rigid thin-walled reinforced concrete face behavior at large deformations inherent to rockfill. The obtained results of studies often do not permit conducting full analysis of SSS of concrete-faced rockfill dams.

DOI: 10.22227/1997-0935.2019.2.207-224

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Numerical investigations of work of driven pile on claystones

Vestnik MGSU 2/2019 Volume 14
  • Sychkina Evgeniya N. - Perm National Research Polytechnic University (PNRPU) Candidate of Technical Sciences, Associate Professor of the Department of Construction Technology and Geotechnics, Perm National Research Polytechnic University (PNRPU), 29 Komsomolsky prospekt, Perm, 614990, Russian Federation.
  • Antipov Vadim V. - Perm National Research Polytechnic University (PNRPU) postgraduate student of Department of Construction Technology and Geotechnics, Perm National Research Polytechnic University (PNRPU), 29 Komsomolsky prospekt, Perm, 614990, Russian Federation.
  • Ofrikhter Yan V. - Perm National Research Polytechnic University (PNRPU) postgraduate student of Department of Construction Technology and Geotechnics, Perm National Research Polytechnic University (PNRPU), 29 Komsomolsky prospekt, Perm, 614990, Russian Federation.

Pages 188-198

Introduction. Reviewed the features of the work of the pile on Permian claystones with the help of numerical and field experiments, analytical calculations. Materials and methods. Numerical modeling was performed in the Plaxis 3D and Midas GTS NX software packages. Full-scale tests of driven piles are made in accordance with the requirements of GOST 20276-2012. The obtained results are compared with the results of analytical calculations according to SP 24.13330.2011. Results. The scientific novelty of the investigation consists in a comparative analysis of the results of numerical modeling of the interaction of a driving pile with claystones with the results of field tests and analytical calculations. Finite element analysis in software package Plaxis 3D using Hardening Soil model shows higher values of settlement (up to 6 times) in relation to stabilized settlement of full-scale pile tests. Calculations in the software package Midas GTS NX showed overestimated values of pile settlements in relation to full-scale pile tests (13-24 times). Analytical calculations in accordance with SP 24.13330.2011 also showed overestimated (up to 3 times) values of the maximum pile settlement in relation to the stabilized settlement during full-scale pile tests. Conclusions. The calculations by the finite element method in the package Plaxis 3D and Midas GTS NX, by the analytical method according to SP 24.13330.2011, show overestimated values of settlement in relation to the stabilized settlement of piles on claystones. Using the Linear-Elastic model for claystones in numerical calculations in Plaxis 3D provides a value close to the settlement of full-scale pile. However, the use of this model is not fully justified for claystones due to the presence of residual deformations and the nonlinear character of pile settlement during loading. Necessary to correct the existing numerical and analytical methods for calculating pile foundations on claystones. It is necessary to continue the work on the further generalization of the experience of arranging piles on weathered claystones in order to evaluate the long-term work of not only a single pile, but also a pile foundation.

DOI: 10.22227/1997-0935.2019.2.188-198

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The application of the finite element method for the low-cycle fatigue calculation of the elementsof the pipelines’ fixed support construction for the areas of above-ground routing of the oil pipeline «Zapolyarye — NPS „Pur-Pe“»

Vestnik MGSU 2/2014
  • Surikov Vitaliy Ivanovich - Research Institute of Oil and Oil Products Transportation (NII TNN) Deputy Director General for the Technology of Oil and Oil Products Transportation, Research Institute of Oil and Oil Products Transportation (NII TNN), 9-5, 2 Verhniy Mikhaylovskiy proezd, 115419, Moscow, Rus- sian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Bondarenko Valeriy Vyacheslavovich - Joint stock company “Konar” (JSC “Konar”) Candidate of Technical Sciences, Director General, Joint stock company “Konar” (JSC “Konar”), 4b Prospect Lenina, 454038, Chelyabinsk; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Korgin Andrey Valentinovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Supervisor, Scientific and Educational Center of Constructions Investigations and Examinations, Department of Test of Structures, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Zotov Mikhail Yur'evich - Institute of Trunk Oil Pipelines Design Giprotruboprovod head, Department of Justifying Calculations, Institute of Trunk Oil Pipelines Design Giprotruboprovod, 24, bldg.1 Vavilova str. 119334, Moscow, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Bogach Andrey Anatol'evich - Research Institute of Oil and Oil Products Transportation (NII TNN) Candidate of Physical and Mathematical Sciences, chief specialist, Department of Strength and Stability Calculation of Pipelines and Main Oil Pipelines Equipment, Research Institute of Oil and Oil Products Transportation (NII TNN), 9-5, 2 Verhniy Mikhaylovskiy proezd, 115419, Moscow, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 47-56

The present article studies the order of performing low-cycle fatigue strength calculation of the elements of the full-scale specimen construction of the fixed support DN 1000 of the above-ground oil pipeline “Zapolyarye — Purpe” during rig-testing. The calculation is performed with the aim of optimizing the quantity of testing and, accordingly, cost cutting for expensive experiments. The order of performing the calculation consists of two stages. At the first stage the calculation is performed by the finite element method of the full-scale specimen construction’s stressed-deformed state in the calculation complex ANSYS. Thearticle describes the main creation stages of the finite element calculation model for the full-scale specimen in ANSYS. The calculation model is developed in accordance with a three-dimensional model of the full-scale specimen, adapted for rig-testing by cyclic loads. The article provides the description of the full-scale specimen construction of the support and loading modes in rig-testing. Cyclic loads are accepted as calculation ones, which influence the support for the 50 years of the oil pipeline operation and simulate the composite impact in the process of the loads’ operation connected to the changes in the pumping pressure, operational bending moment. They also simulate preloading in the case of sagging of the neighboring free support. For the determination of the unobservable for the diagnostic devices defects impact on the reliability of the fixed support and welding joints of the fixed support with the oil pipeline by analogy with the full-scale specimen, artificial defects were embedded in the calculation model. The defects were performed in the form of cuts of the definite form, located in a special way in the spool and welding joints. At the second stage of calculation for low-cycle fatigue strength, the evaluation of the cyclic strength of the full-scale specimen construction’s elements of the fixed support was performed in accordance with the requirements of Russian State Standard GOST R 52857.6—2007 on the basis of the overall and local stress condition, received according to the results of the calculation in ANSYS. In accordance with the results of the conducted work the conclusion was drawn about fulfilling the standard requirements for the low-cycle fatigue strength of the developed full-scale specimen of the support. Therefore, the application of the modern approaches to the numerical modeling of the fixed support construction operation allowed minimizing the quantity of full-scale tests of the specimen with the cyclic load, escaping the excessive conservatism in evaluation of the cyclic strength and developing of the optimal for the metal intensity construction.

DOI: 10.22227/1997-0935.2014.2.47-56

References
  1. Basov K.A. ANSYS: spravochnik pol'zovatelya [ANSYS. The User's Guide]. Moscow, DMK Press Publ., 2005, 640 p.
  2. Bykov L.I., Avtakhov Z.F. Otsenka vliyaniya usloviy na rabotu balochnykh truboprovodnykh sistem [Estimating the Conditions Influence on the Beam Pipelines Operation]. Izvestiya vuzov. Neft' i gaz [News of the Universities of Higher Education. Oil and Gas]. 2003, no. 5, pp. 79—85.
  3. Kazakevich M.I., Lyubin A.E. Proektirovanie metallicheskikh konstruktsiy nadzemnykh promyshlennykh truboprovodov [Metal Structures Design for Above-ground Industrial Pipelines]. 2nd Edition. Kiev, Budivel'nik Publ., 1989, 160 p.
  4. Petrov I.P., Spiridonov V.V. Nadzemnaya prokladka truboprovodov [Above-ground Pipelining]. Moscow, Nedra Publ., 1973, 472 p.
  5. Podgornyy A.N., Gontarovskiy P.P., Kirkach B.N. Zadachi kontaktnogo vzaimodeystviya elementov konstruktsiy [The Tasks of Contact Interaction of a Construction Elements]. Kiev, Naukova dumka Publ., 1989, 232 p.
  6. Seleznev V.E., Aleshin V.V., Pryalov S.N. Osnovy chislennogo modelirovaniya magistral'nykh truboprovodov [Intro to Numerical Simulations of Major Pipelines]. Moscow, KomKniga Publ., 2005, 496 p.
  7. Seleznev V.E., Aleshin V.V., Pryalov S.N. Matematicheskoe modelirovanie magistral'nykh truboprovodnykh sistem: dopolnitel'nye glavy [Mathematic Simulation of Major Pipeline Systems: Additional Chapters]. Moscow, MAKS Press Publ., 2009, 356 p.
  8. Crisfield M.A. Non-linear Finite Element Analysis of Solids and Structures. In two volumes. John Wiley & Sons, Chichester, 2000.
  9. Madenci Erdogan, Guven Ibrahim. The Finite Element Method and Applications in Engineering Using ANSYS. Springer, 2005, 686 p.
  10. Lawrence K.L. ANSYS Workbench Tutorial, Structural & Thermal Analysis Using the ANSYS Workbench Release 13. Enviroment. Schroff Development Corporation, 2011.
  11. Lawrence K.L. ANSYS Tutorial Release 13. Schroff Development Corporation, 2011.
  12. Surikov V.I., Varshitskiy V.M., Bondarenko V.V., Korgin A.V., Bogach A.A. Primenenie metoda konechnykh elementov pri raschete na prochnost' opor truboprovodov dlya uchastkov nadzemnoy prokladki nefteprovoda «Zapolyar'e — NPS “Pur-Pe”» [Using Finite Element Method in the Process of Strength Calculation for the Pipeline Supports in Above-Ground Area of "Zapolyar'e — NPS "Pur-Pe" Oil Pipeline]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 1, pp. 66—74.

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Account for geometrical nonlinearity in the analysis of reinforced concrete columns of rectangular section by finite element method

Vestnik MGSU 4/2014
  • Agapov Vladimir Pavlovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Applied Mechanics and Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; +7 (495) 583-47-52; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vasil'ev Aleksey Viktorovich - limited liability company "Rodnik" design engineer, limited liability company "Rodnik", 22 Kominterna str., Tver, 170000, Russian Federation; +7 (482) 2-761-004; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 37-43

The superelement of a column of rectangular section made of homogeneous material and intended for linear analysis, developed by authors earlier on the basis of the three-dimensional theory of elasticity, is updated with reference to static analysis of reinforced concrete columns with account for geometrical nonlinearity. In order to get the superelement the column is divided on sections and longwise into eight-node solid finite elements modelling the concrete and two nodes rod elements modelling reinforcement. The elements are connected with one another in the nodes of finite element mesh that provides joint operation of concrete and reinforcement. The internal nodes of the obtained finite element mesh are excluded at the stage of stiffness matrix and load vector of a column calculation. Formulas for calculation of linearized stiffness matrix of a superelement and a vector of the nodal forces statically equivalent to internal stresses are received. The element is adjusted to the computer program PRINS, and can be used for geometrically nonlinear analysis of complex structures containing reinforced concrete columns of rectangular section. Separately standing reinforced concrete column was calculated on longitudinal-transverse bending for the verification of the received superelement. The critical load was determined according to the results of calculation. The determined critical force value corresponds to the theoretical value. Thus, the proposed method of accounting for the geometric nonlinearity in the analysis of reinforced concrete columns can be recommended for practical use.

DOI: 10.22227/1997-0935.2014.4.37-43

References
  1. Geniev G.A., Kissyuk V.N., Tyupin G.A. Teoriya plastichnosti betona i zhelezobetona [Plasticity Theory of Concrete and Reinforced Concrete]. Moscow, Stroyizdat Publ., 1974, 316 p.
  2. Yashin A.V. Kriterii prochnosti i deformirovaniya betona pri prostom nagruzhenii dlya razlichnykh vidov napryazhennogo sostoyaniya [Strength and Strain Criteria of Concrete at Simple Loading for Various Kinds of the Stress State]. Raschet i proektirovanie zhelezobetonnykh konstruktsiy [Analysis and Design of Reinforced Concrete Structures]. Moscow, 1977, pp. 48—57.
  3. Karpenko N.I. Obshchie modeli mekhaniki zhelezobetona [General Models of Reinforced Concrete Mechanics]. Moscow, Stroyizdat Publ., 1996, 396 p.
  4. Chen W.F. Plasticity in Reinforced Concrete. J. Ross Publishing, 2007. 463 p.
  5. Gedolin L., Deipoli S. Finite Element Studies of Shear-critical R/C Beams. ASCE Journal of the Engineering Mechanics Division. 1977, vol. 103, no. 3, pp. 395—410.
  6. Ngo D., Scordelis A.C. Finite Element Analysis of Reinforced Concrete. J. Am. Conc. Inst., 1967, vol. 64, pp. 152—163.
  7. Kotsovos M.D. Effect of Stress Path on the Behaviour of Concrete under Triaxial Stress States. J. Am. Conc. Inst., vol. 76, no. 2, pp. 213—223.
  8. Nam C.H., Salmon C.G. Finite Element Analysis of Concrete Beams. ASCE J. Struct. Engng. Div. Vol. 100, no. ST12, pp. 2419—2432.
  9. Willam, K.J., Warnke E.P. (1975). Constitutive Models for the Triaxial Behavior of Concrete. Proceedings of the International Assoc. for Bridge and Structural Engineering. Vol. 19, pp. 1—30.
  10. Hinton E., Owen D.R.J. Finite Element Software for Plates and Shells. Pineridge Press, Swansea, U.K., 1984, 403 pp.
  11. Beglov A.D., Sanzharovskiy R.S. Teoriya rascheta zhelezobetonnykh konstruktsiy na prochnost' i ustoychivost'. Sovremennye normy i Evrostandarty [The Theory of Strength and Buckling Analysis of the Reinforced Concrete Structures. Modern Norms and Eurostandards]. Saint Petersburg, Moscow, ASV Publ., 2006, 221 p.
  12. Mailyan D.R., Muradyan V.A. K metodike rascheta zhelezobetonnykh vnetsentrenno szhatykh kolonn [The Method of Calculating Eccentrically Compressed Reinforced Concrete Columns]. Inzhenernyy vestnik Dona [The Engineering Bulletin of Don]. 2012, no. 4 (part 2). Available at: http://www.ivdon.ru/magazine/archive/n4p2y2012/1333.
  13. Agapov V.P., Vasil'ev A.V. Modelirovanie kolonn pryamougol'nogo secheniya ob"emnymi elementami s ispol'zovaniem superelementnoy tekhnologii [Modeling Columns of Rectangular Cross-section with Superelement Technology]. Stroitel'naya mekhanika inzhenernykh konstruktsiy i sooruzheniy [Structural Mechanics of Engineering Buildings and Structures]. 2012, no. 4, pp. 48—53.
  14. Agapov V.P. Issledovanie prochnosti prostranstvennykh konstruktsiy v lineynoy i nelineynoy postanovkakh s ispol'zovaniem vychislitel'nogo kompleksa «PRINS» [Strength Analysis of Three-dimensional Structures with Computer Program PRINS]. Prostranstvennye konstruktsii zdaniy i sooruzheniy (issledovanie, raschet, proektirovanie, primenenie): sbornik statey [Three-dimensional Structures of Buildings (Investigation, Calculation, Design, Application): Collection of Articles]. Moscow, 2008, no. 11, pp. 57—67.
  15. Agapov V.P., Vasil'ev A.V. Superelement kolonny pryamougol'nogo secheniya s geometricheskoy nelineynost'yu [Superelement of the Rectangular Cross Section Column Having Physical Nonlinearity]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 6, pp. 50—56.

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Influence of location and parameters of stiffeners on the stability of a square plate under shear

Vestnik MGSU 12/2014
  • Pritykin Aleksey Igorevich - Immanuel Kant Baltic Federal University (IKBFU) Doctor of Technical Sciences, Associate Professor, Department of Urban Development, Land Planning and Design, Immanuel Kant Baltic Federal University (IKBFU), 14 Aleksandra Nevskogo str., Kaliningrad, 236041; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Kirillov Il’ya Evgen’evich - Kaliningrad State Technical University (KSTU) postgraduate student, Department of Industrial and Civil Engineering, Kaliningrad State Technical University (KSTU), 1 Sovetskiy Prospect, Kaliningrad, 236022, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 77-87

Application of flexible-walled beams is rather effective because the reducing of wall thickness compared to ordinary welded beams leads to substantial reduction of metal expenditure for the walls and its more rational use. The operation experience of such beams shows that the loss of local stability of a wall takes place near bearing cross section with characteristic diagonal type of half waves, indicating, that the reason for the stability loss is in shear deformation. In plate girder with slender web big transverse forces appear, which leads to its buckling as a result of shear. One of the ways to increase stability of the parts of web near supports is to install stiffeners. In the given work the task of finding critical stresses of fixed square plate with installed inclined stiffener is considered. Investigations were performed with the help of finite element method and were experimentally checked. Recommendations were given on the choice of optimal size of the stiffener.

DOI: 10.22227/1997-0935.2014.12.77-87

References
  1. Chen W.F., Lui E.M. Handbook of Structural Engineering, 2nd ed. CRC Press, 2005, 1768 p.
  2. Duggal S.K. Design of Steel Structures. Tata McGraw-Hill Education, 2000, 663 p.
  3. Darko Beg. Plate and Box Girder Stiffener Design in View of Eurocode 3: Part 1.5. 6th National Conference on Metal Structures. 2008, vol. 1, pp. 286—303.
  4. Hendy C.R., Presta F. Transverse Web Stiffeners and Shear Moment Interaction for Steel Plate Girder Bridges. Proceedings of the 7th International Symposium on Steel Bridges. Guimaracs. Portugal. 2008. ECCS, p. 8.
  5. Evans H.R. Longitudinally and Transversely Reinforced Plate Girders. Chapter 1. Plated Structures, Stability&Strength. Ed R. Narayanan. Elsevier Applied Science Publishers, London, 1983, pp. 1—73.
  6. Ravi S. Bellur. Optimal Design of Stiffened Plates. M. Sc. Thesis, University of Toronto, Graduate Department of Aerospace Science and Engineering, 1999, 100 p.
  7. Mohammed M. Hasan. Optimum Design of Stiffened Square Plates for Longitudinal and Square Ribs. Al-khwarizmi Engineering Journal. 2007, vol. 3, no. 3, pp. 13—30.
  8. Leitch S.D. Steel Plate Girder Webs with Slender Intermediate Transverse Stiffeners. Ottawa: National Library of Canada. Biblioth? que national edu Canada, 1999.
  9. Virag Z. Optimum Design of Stiffened Plates for Different Load and Shapes of Ribs. Journal of Computational and Applied Mechanics. 2004, vol. 5, no. 1, pp. 165—179.
  10. Kubiak T. Static and Dynamic Buckling of Thin-Walled Plate Structures. Cham, Springer, 2013, 250 p. DOI: http://dx.doi.org/10.1007/978-3-319-00654-3.
  11. ?kesson B. Plate Buckling in Bridges and Other Structures. London, Taylor & Francis, 2007, 282 p.
  12. Gaby Issa-El-Khoury, Daniel G Linzell, Louis F. Geschwindner. Computational Studies of Horizontally Curved, Longitudinally Stiffened, Plate Girder Webs in Flexure. Journal of Constructional Steel Research. February 2014, vol. 93, pp. 97—106. DOI: http://dx.doi.org/10.1016/j.jcsr.2013.10.018.
  13. Aleksi? S., Roga? M., Lu?i? D. Analysis of Locally Loaded Steel Plate Girders: Model for Patch Load Resistance. Journal of Constructional Steel Research. October 2013, vol. 89, pp. 153—164. DOI: http://dx.doi.org/10.1016/j.jcsr.2013.07.005.
  14. Saliba N., Real E., Gardner L. Shear Design Recommendations for Stainless Steel Plate Girders. Engineering Structures. February 2014, vol. 59, pp. 220—228. DOI: http://dx.doi.org/10.1016/j.engstruct.2013.10.016.
  15. Real E., Mirambell E., Estrada I. Shear Response of Stainless Steel Plate Girders. Engineering Structures. July 2007, vol. 29, no. 7, pp. 1626—1640. DOI: http://dx.doi.org/10.1016/j.engstruct.2006.08.023.
  16. Chac?n R., Mirambell E., Real E. Transversally stiffened plate girders subjected to patch loading. Part 1. Preliminary study. Journal of Constructional Steel Research. January 2013, vol. 80, pp. 483—491. : http://dx.doi.org/10.1016/j.jcsr.2012.06.008.
  17. Tang K.H., Evans H.R. Transverse Stiffeners for Plate Girder Webs—an Experimental Study. Journal of Constructional Steel Research. 1984, vol. 4, no. 4, pp. 253—280. DOI: http://dx.doi.org/10.1016/0143-974X(84)90002-6.
  18. Birger I.A., Panovko Ya.G., editors. Prochnost’, ustoychivost’, kolebaniya. Spravochnik v trekh tomakh [Strength, Stability, Fluctuations. Reference Book]. Vol. 3, Moscow, Mashinostroenie Publ., 1968, 567 p. (In Russian)
  19. SP 16.13330.2011. Stal’nye konstruktsii. Aktualizirovannaya redaktsiya SNiP II-23—81* [Construction Requirements SP 16.13330.2011. Steel Structures. Revised edition of SN&R II-23—81*]. Minregion Rossii [Ministry of Regional Development of Russia]. Moscow, OAO «TsPP» Publ., 2011, 172 p. (In Russian)
  20. Pritykin A.I. Mestnaya ustoychivost’ balok-stenok s shestiugol’nymi vyrezami [Local Stability of Wall Beams with Hexagonal Gains]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 2011, no. 1, pp. 2—6. (In Russian)

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Main formulations of the finite element method for the problems of structural mechanics. Part 3

Vestnik MGSU 1/2015
  • Ignat’ev Aleksandr Vladimirovich - Volgograd State University of Architecture and Civil Engineering (VSUACE) Candidate of Technical Sciences, Associate Professor, Department of Structural Mechanics, Volgograd State University of Architecture and Civil Engineering (VSUACE), 1 Akademicheskaya str., Volgograd, 400074, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 16-26

In this paper the author offers is the classification of the formulae of Finite Element Method. This classification help to orient in a huge number of published articles, as well as those to be published, which are dedicated to the problem of enhancing the efficiency of the most commonly used method. The third part of the article considers the variation formulations of FEM and the energy principles lying in the basis of it. If compared to the direct method, which is applied only to finite elements of a simple geometrical type, the variation formulations of FEM are applicable to the elements of any type. All the variation methods can be conventionally divided into two groups. The methods of the first group are based on the principle of energy functional stationarity - a potential system energy, additional energy or on the basis of these energies, which means the full energy. The methods of the second group are based on the variants of mathematical methods of weighted residuals for solving the differential equations, which in some cases can be handled according to the principle of possible displacements or extreme energy principles. The most widely used and multipurpose is the approach based on the use of energy principles coming from the energy conservation law: principle of possible changes in stress state, principle of possible change in stress-strain state.

DOI: 10.22227/1997-0935.2015.1.16-26

References
  1. Ignat’ev A.V. Osnovnye formulirovki metoda konechnykh elementov v zadachakh stroitel’noy mekhaniki. Chast’ 1 [Essential FEM Statements Applied to Structural Mechanics Problems. Part 1]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 11, pp. 37—57. (In Russian)
  2. Ignat’ev A.V. Osnovnye formulirovki metoda konechnykh elementov v zadachakh stroitel’noy mekhaniki. Chast’ 2 [Main Formulations of the Finite Element Method for the Problems of Structural Mechanics. Part 2]. 2014, no. 12, pp. 40—59. (In Russian)
  3. Pratusevich Ya.A. Variatsionnye metody v stroitel’noy mekhanike [Variation Methods in Construction Mechanics]. Moscow-Leningrad, Stroyizdat Publ., 1948, 196 p. (in Russian)
  4. Ignat’ev V.A., Ignat’ev A.V., Zhidelev A.V. Smeshannaya forma metoda konechnykh elementov v zadachakh stroitel’noy mekhaniki [Mixed Form of Finite Element Method in Problems of Structural Mechanics]. Volgograd, VolgGASU Publ., 2006, 172 p. (In Russian)
  5. Sekulovich M. Metod konechnykh elementov [Finite Element Method]. Translation from Serbian. Moscow, Stroyizdat Publ., 1993, 664 p. (In Russian)
  6. Shul’kin Yu.B. Teoriya uprugikh sterzhnevykh konstruktsiy [Theory of Elastic Bar Systems]. Moscow, Nauka Publ., 1984, 272 p. (In Russian)
  7. Fraeijs de Veubeke B., Sander G. An Equilibrium Model for Plate Bending. International J. Solids and Structures. 1968, vol. 4, no. 4, pp. 447—468. DOI: http://dx.doi.org/10.1016/0020-7683(68)90049-8.
  8. Herrmann L. A Bending Analysis for Plates. Proc. Conf. Matrix. Meth. Str. Mech. Wright Patterson AFB, Ohio, AFFDL-TR-66-88, 1965, pp. 577—604.
  9. Herrmann L. Finite Element Bending Analysis for Plates. ASCE 93. No. EM5, 1967, pp. 49—83.
  10. Nedelec J.C. Mixed Finite Elements in R3. Numerische Mathematik. September 1980, 35 (3), pp. 315—341.
  11. Belkin A.E., Gavryushkin S.S. Raschety plastin metodom konechnykh elementov [Calculation of Plates by Finite Element Method]. Moscow, MGTU named after N.E. Baumana Publ., 2008, 232 p. (In Russian)
  12. Vasidzu K. Variatsionnye metody v teorii uprugosti i plastichnosti [Variation Methods in Plasticity Theory]. Moscow, Mir Publ., 1987, 542 p. (In Russian)
  13. Visser V. Uluchshennyy variant diskretnogo elementa smeshannogo tipa plastiny pri izgibe [Improved Variant of the Discreet Element of Mixed Type of a Plate at Bending]. Raketnaya tekhnika i kosmonavtika [Rocket Enineering and Space Technologies]. 1969, no. 9, pp. 172—174. (In Russian)
  14. Ayad R., Dhatt G., Batoz J.L. A New Hybrid-mixed Variational Approach for Reissner-Mindlin plates. The MiSP model. International J. for Numerical Methods in Engineering. 1998, vol. 42, no. 7, pp. 1149—1179. DOI: http://dx.doi.org/10.1002/(SICI)1097-0207(19980815)42:73.0.CO;2-2.
  15. Herrmann L.R. Elasticity Equations for Incompressible and Nearly Incompressible Materials by a Variational Theorem. AIAA J. 1965, vol. 3, no. 10, pp. 1896—1900. DOI: http://dx.doi.org/10.2514/3.3277.

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Improved eight-node finite elementof the continuous medium

Vestnik MGSU 3/2013
  • Agapov Vladimir Pavlovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Applied Mechanics and Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; +7 (495) 583-47-52; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vasil’ev Aleksey Viktorovich - Rodnik Limited Liability Company design engineer, Rodnik Limited Liability Company, 22 Kominterna St., Tver, 170000, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 41-45

Solid eight-node finite elements are widely used in practical design in spite of the fact that numerous curvilinear finite elements having multiple nodes are developed. This element is suitable for nonlinear calculations if characteristics of a structure are subject to numerous alterations. Therefore, it is preferable that all calculations were simple. An eight-node element meets this requirement. A standard linear shape function is used by many software programmes to construct this element. Strains and stresses remain constant within the limits of the above element.The authors have developed and implemented a solid eight-node isoparametric finite element using PRINS software. The element developed by the authors has improved bending properties. A quadratic out-of-node shape function was used to improve the bending properties of the element. Principal formulas and testing results are provided. Numerical results confirm the accuracy and effectiveness of the element developed by the authors.

DOI: 10.22227/1997-0935.2013.3.41-45

References
  1. Ayron B.M. Inzhenernye prilozheniya chislennogo integrirovaniya v metode zhestkostey [Engineering Applications of Numerical Integration in the Stiffness Method]. Raketnaya tekhnika i kosmonavtika [Rocket Engineering and Space Exploration]. 1966, vol. 4, no. 11, pp. 213—216.
  2. Zienkiewicz O.C., Taylor R.L. The Finite Element Method for Solid and Structural Mechanics. McGraw-Hill, 2005, 631 p.
  3. Bathe K.J. Finite Element Procedures. Prentice Hall, Inc., 1996, 1037 p.
  4. Punch E.F., Atluri S.N. Applications of Isoparametric Three-dimensional Hybrid-stress Finite Elements with Least-order Stress Fields. Computers and Structures, vol. 19, no. 3, 1984.
  5. Agapov V.P., Shugaev V.V., editor. Issledovanie prochnosti prostranstvennykh konstruktsiy v lineynoy i nelineynoy postanovkakh s ispol’zovaniem vychislitel’nogo kompleksa «PRINS» [Strength Analysis of 3D Structures Using PRINS Software]. Prostranstvennye konstruktsii zdaniy i sooruzheniy (issledovanie, raschet, proektirovanie, primenenie). Sb. st. [3D Constructions of Buildings and Structures (Research, Analysis, Design and Application). Collection of articles]. Ìoscow, 2008, no. 11, pp. 57—67.
  6. Agapov V.P. Soprotivlenie materialov [Strength of Materials]. Moscow, Ekzamen Publ., 2009, 256 p.

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SUPERELEMENT OF THE RECTANGULARCROSS SECTION COLUMN HAVING PHYSICAL NONLINEARITY

Vestnik MGSU 6/2013
  • Agapov Vladimir Pavlovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Applied Mechanics and Mathematics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; +7 (495) 583-47-52; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vasil’ev Aleksey Viktorovich - Rodnik Limited Liability Company design engineer, Rodnik Limited Liability Company, 22 Kominterna St., Tver, 170000, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 50-56

The superelement of the rectangular cross section column designed by the authors earlier for the linear analysis purposes is now applied to analyze the same column with account for the geometric nonlinearity. The superelement is composed of eight solid finite elements. The stiffness matrix technique, the initial stress matrix and the analysis of the vector of unbalanced nodal forces are described.The procedure for excluding internal degrees of freedom of a superelement, using the layer-by-layer reduction method, is described in detail. All calculation formulas are provided in the article. The element, developed by the authors, was adapted to PRINS finite element software; therefore, it can be used to perform the nonlinear analysis of building structures. The console beam, having a rectangular cross section, was analyzed in transverse longitudinal bending to verify the developed element. The comparison of the theory and calculations using PRINS software proved the accuracy of the proposed technique.

DOI: 10.22227/1997-0935.2013.6.50-56

References
  1. Belokonev E.N., Abukhanov A.Z., Belokoneva T.M., Chistyakov A.A. Osnovy arkhitektury zdaniy i sooruzheniy [Fundamentals of Architecture of Buildings and Structures]. Rostov-on-Don, Feniks Publ., 2009, 324 p.
  2. NASTRAN Theoretical Manual. NASA, Washington, 1972.
  3. Basov K.A. ANSYS. Spravochnik pol’zovatelya [ANSYS. User’s Manual]. Moscow, DMK-Press Publ., 2005, 637 p.
  4. Bathe K.J., Wiener P.M. On Elastic-plastic Analysis of I-Beams in Bending and Torsion. Computers and Structures. 1983, vol. 17, pp. 711—718.
  5. Klinkel S., Govindjee S. Anisotrophic Bending-torsion Coupling for Warping in Non-linear Beam. Computational Mechanics. 2003, no. 31, pp. 78—87.
  6. Ayoub A., Filippou F.C. Mixed Formulation of Nonlinear Steel-concrete Composite Beam. J. Structural Engineering. 2000, ASCE, no. 126, pp. 371—381.
  7. Hjelmstad K.D., Tacirouglu E. Mixed Variational Methods for Finite Element Analysis of Geometrically Non-linear, Inelastic Bernoulli-Euler Beams. Communications in Numerical Methods of Engineering. 2003, no. 19, pp. 809—832.
  8. Zienkiewicz O.C., Taylor R.L. The Finite Element Method for Solid and Structural Mechanics. McGraw-Hill, 2005, 631 p.
  9. Bathe K.J. Finite Element Procedures. Prentice Hall, Inc., 1996, 1037 p.
  10. Agapov V.P., Vasil’ev A.V. Modelirovanie kolonn pryamougol’nogo secheniya ob”emnymi elementami s ispol’zovaniem superelementnoy tekhnologii [Modeling Rectangular Section Columns Using 3D Elements and the Superelement Technology]. Stroitel’naya mekhanika inzhenernykh konstruktsiy i sooruzheniy [Structural Mechanics of Engineering Constructions and Structures]. 2012, no. 4, Moscow, RUDN Publ., pp. 48—53.
  11. Agapov V.P. Shugaev V.V. Issledovanie prochnosti prostranstvennykh konstruktsiy v lineynoy i nelineynoy postanovkakh s ispol’zovaniem vychislitel’nogo kompleksa «PRINS» [Research into Strength of Spatial Structures Based on Linear and Non-linear Problem Definitions Using PRINS Software]. Prostranstvennye konstruktsii zdaniy i sooruzheniy (issledovanie, raschet, proektirovanie, primenenie). [Spatial Constructions of Buildings and Structures (Research, Analysis, Design and Application). Collection of works, no. 11, Moscow, MOO «Prostranstvennye konstruktsii» Publ., 2008, pp. 57—67.

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Numerical methodfor solving dynamic problems of the theory of elasticity in the polar coordinate system similar to the finiteelement method

Vestnik MGSU 7/2013
  • Nemchinov Vladimir Valentinovich - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Professor, Department of Applied Mechanics and Mathematics, Mytischi Branch; +7 (495) 602-70-29, Moscow State University of Civil Engineering (MGSU), 50 Olimpiyskiy prospekt, Mytischi, Moscow Region, 141006, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Musayev Vyacheslav Kadyr ogly - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Consulting Professor, Mytischi Branch, Moscow State University of Civil Engineering (MGSU), 50 Olimpiyskiy prospekt, Mytischi, Moscow Region, 141006, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 68-76

The authors consider a dynamic problem solving procedure based on the theory of elasticity in the Cartesian coordinate system. This method consists in the development of the pattern of numerical solutions to dynamic elastic problems within any coordinate system and, in particular, in the polar coordinate system. Numerical solutions of dynamic problems within the theory of elasticity are the most accurate ones, if the boundaries of the areas under consideration coincide with the coordinate lines of the selected coordinate system.The first order linear system of differential equations is converted into an implicit difference scheme. The implicit scheme is transformed into the explicit method of numerical solutions. Using the Galerkin method, the authors obtain formulas for the calculation of both the points of the computational domain and the boundary points.Difference ratios similar to those obtained for a discrete rectangular grid and derived in this paper are suitable to design any geometry, which fact significantly increases the value of the methods considered in this paper.As a test case, the problem of diffraction of a longitudinal wave in a circular cavity, where maximum stresses are obtained analytically, was considered by the authors. The proposed method demonstrated sufficient accuracy of calculations and convergence of numerical solutions, depending on the size of discrete steps. The problem of diffraction of longitudinal waves in a circular cavity was taken for example; however, the proposed method is applicable to any problems within any computational domain.The polar coordinate system is the best one for any research into the diffraction of plane longitudinal waves in a circular cavity, since the boundaries of the computational domain coincide with the coordinate lines of the selected system.

DOI: 10.22227/1997-0935.2013.7.68-76

References
  1. Nemchinov V.B. Dvukhsloynaya raznostnaya skhema chislennogo resheniya ploskikh dinamicheskikh zadach teorii uprugosti [Bilayer Difference Scheme of a Numerical Solution to Two-Dimensional Dynamic Problems of Elasticity]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 8, pp. 104—111.
  2. Fletcher K. Chislennye metody na osnove metoda Galerkina [Numerical Methods Based on the Galerkin Method]. Moscow, Mir Publ., 1988, 352 p.
  3. Sekulovich M. Metod konechnykh elementov [Finite Element Method]. Moscow, Stroyizdat Publ., 1993, 664 p.
  4. Musaev V.K. Primenenie metoda konechnykh elementov k resheniyu ploskoy nestatsionarnoy dinamicheskoy zadachi teorii uprugosti [Application of the Finite Element Method to the Plane Non-stationary Dynamic Problem of the Theory of Elasticity]. Mekhanika tverdogo tela [Solid Body Mechanics]. 1980, no. 1, pp. 167—173.
  5. Sabodash P.F., Cherednichenko R.A. Primenenie metoda prostranstvennykh kharakteristik k resheniyu zadach o rasprostranenii voln v uprugoy polupolose [Application of Method of 3D Characteristics to Problems of Propagation of Waves in an Elastic Half-strip]. Izvestiya AN SSSP. Mekhan. tverdogo tela [News of the Academy of Sciences of the USSR. Solid Body Mechanics]. 1972, no. 6, pp. 180—185.
  6. Gernet Kh., Kruze-Paskal’ D. Neustanovivshayasya reaktsiya nakhodyashchegosya v uprugoy srede krugovogo tsilindra proizvol’noy tolshchiny na deystvie ploskoy volny rasshireniya [Unstable Response of an Arbitrary Thickness Circular Cylinder to the Action of a Plane Expansion Wave]. Prikladnaya mekhanika. Trudy amerikanskogo obshchestva inzhenerov-mekhanikov. Ser. E. [Applied Mechanics. Works of the American Society of Mechanical Engineers. Series E.] 1966, vol. 33, no. 3, pp. 48—60.
  7. Bayandin Yu.V., Naimark O.B., Uvarov S.V. Numerical Simulation of Spall Failure in Metals under Shock Compression. AIP Conf. Proc. of the American Physical Society. Topical Group on Shock Compression of Condensed Matter. Nashville, TN, 28 June — 3 July 2009, vol. 1195, pp. 1093—1096.
  8. Burago N.G., Zhuravlev A.B., Nikitin I.S. Models of Multiaxial Fatigue Fracture and Service Life Estimation of Structural Elements. Mechanics of Solids. 2011, vol. 46, no. 6, pp. 828—838.
  9. Li Y., Liu G.R., Zhang G.Y. An Adaptive NS/ES-FEM Approach for Plane Contact Problems Using Triangular Elements. Finite Elem. Anal. Dec. 2011, vol., 47, no. 3, pp. 256—275.

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COMPARISON OF FINDINGS OF THE FINITE ELEMENT ANALYSISWITH THE FINDINGS OF THE ASYMPTOTIC HOMOGENIZATIONMETHOD IN RESPECT OF THE PLATE IN ELASTOPLASTIC BENDING

Vestnik MGSU 8/2013
  • Savenkova Margarita Ivanovna - Lomonosov Moscow State University (MGU) postgraduate student, Department of Composite Mechanics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University (MGU), ; Leninskie Gory, Moscow, 119991, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Sheshenin Sergey Vladimirovich - Lomonosov Moscow State University (MGU) Doctor of Physical and Mathematical Sciences, Professor, Department of Composite Mechanics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University (MGU), ; Leninskie Gory, Moscow, 119991, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Zakalyukina Irina Mikhailovna - Moscow State University of Civil Engineering (MGSU) Candidate of Physical and Mathematical Sciences, Associate Professor, Department of Theoretical Mechanics and Aerodynamics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 42-50

The authors present numerical results of the asymptotic homogenization method for elastoplastic bending of the plate. The plate is supposed to be laminated and exposed to the transversal load. Stresses and displacements in the cylindrical bending problem are compared with those calculated using the 2D finite element method. The new trend in the mathematical simulation of structures, made of composite materials, contemplates accurate consideration of their nonlinear properties (for instance, plasticity or damage) on the micro-structural level of materials. The homogenization method provides for the coupling between the microstructural level and the level of the entire structure. The authors have developed a numerical implementation of this coupling. It represents a combination of the homogenization method and linearization with account for the loading parameter. The approach was implemented as a parallel algorithm and applied to the plastic bending simulation of the FGM plate. The parallel algorithm is based on the overlapping subdomain decomposition method and the Euler explicit and implicit integration methods. MPI was used for software development purposes.In this paper, the authors provide a concise description of the proposed method applied to the 3D boundary-value problem. The authors compare numerical solutions obtained through the application of the homogenization approach and the finite element method. Two types of laminated plates are taken as an example. Three-layered plate was exposed to uniformly distributed transversal loading. The second five-layered plate, that was a lot thinner than the first one, was exposed to piecewise constant transversal loading. All layers of both plates are homogenous; they are supposed to be elastic or bilinearly plastic. It was discovered that the asymptotic homogenization technique provides a more accurate solution for the five-layered plate than for the three-layered one. Edge effects near the edges of the plates are smaller for the thin five-layered plate if compared with the thick three-layered plate. The edge effect appears due to the large value of the plate height-to-length ratio. Nevertheless, the first order asymptotic homogenized method provides sufficient accuracy in both cases.

DOI: 10.22227/1997-0935.2013.8.42-50

References
  1. Savenkova M.I., Sheshenin S.V., Zakalyukina I.M. Primenenie metoda osredneniya v zadache uprugoplasticheskogo izgiba plastiny [Application of Homogenization Method to Elastoplastic Bending of a Plate]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 9, pp. 156—164.
  2. Sheshenin S.V., Savenkova M.I. Osrednenie nelineynykh zadach v mekhanike kompozitov [Averaging Method for Nonlinear Problems in Composites Mechanics]. Vestnik Moskovskogo universiteta. Matematika. Mekhanika [Proceedings of Moscow University. Mathematics. Mechanics]. 2012, no. 5, pp. 58—61.
  3. Barret R. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. Philadelphia, SIAM, 1994.
  4. Sadovnichy V., Tikhonravov A., Voevodin V.l., Opanasenko V. "Lomonosov": Super-computing at Moscow State University. In Contemporary High Performance Computing: from Petascale toward Exascale. Chapman & Hall/CRC Computational Science. 2013, Boca Raton, USA, CRC Press, pp. 283—307.
  5. Fish J., Shek K., Pandheeradi M., Shephard M.S. Computational Plasticity for Composite Structures Based on Mathematical Homogenization: Theory and Practice. Comput. Methods Appl. Mech. Engrg. 1997, no. 148, pp. 53—73.
  6. Ghosh S., Lee K., Moorthy S. Two Scale Analysis of Heterogeneous Elastic-plastic Materials with Asymptotic Homogenization and Voronoi Cell Finite Element Model. Comput. Methods Appl. Mech. Enrgr. 1996, no. 132, pp. 63—116.
  7. Gorbachev V.I., Pobedrya B.E. The Effective Characteristics of Inhomogeneous Media. J. Appl. Math. Mech. 1997, vol. 61, no. 1, pp. 145—151.
  8. Bakhvalov N.S. Osrednenie differentsial'nykh uravneniy s chastnymi proizvodnymi s bystro ostsilliruyushchimi koeffitsientami [Homogenization of Differential Equations Having Partial Derivatives with Rapidly Ocillating Coefficients]. Doklady AN SSSR [Reports of the Academy of Sciences of the USSR]. 1975, vol. 221, no. 3, pp. 516—519.
  9. Pobedrya B.E., Gorbachev V.I. Kontsentratsiya napryazheniy i deformatsiy v kompozitakh [Concentration of Stresses and Strains in Composites]. Mekhanika kompozitsionnykh materialov [Mechanics of Composite Materials]. 1984, no. 2, pp. 207—214.
  10. Kalamkarov A.L., Andrianov I.V., Danishevs'kyy V.V. Asymptotic Homogenization of Composite Materials and Structures. Applied Mechanics Reviews, 2009, v. 63, no. 3, pp. 1—20.
  11. Sheshenin S.V. Asimptoticheskiy analiz periodicheskikh v plane plastin [Asymptotical Analysis of In-plane Periodical Plates]. Izvestiya RAN. Mekhanika tverdogo tela [RAS News. Mechanics of Solids.], 2006, no. 6, pp. 71—79.
  12. Sheshenin S.V. Primenenie metoda osredneniya k plastinam, periodicheskim v plane [Application of the Homogenization Method for the In-Plane Periodical Plates]. Vestnik Moskovskogo universiteta. Matematika. Mekhanika [Proceedings of Moscow University. Mathematics. Mechanics]. 2006, no. 1, pp. 47—51.

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The finite element method analysis of reinforced concrete structures with account for the real descriptionof the active physical processes

Vestnik MGSU 11/2013
  • Berlinov Mikhail Vasil'evich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Reconstruction and Repair of Housing and Utility Objects, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Makarenkov Egor Aleksandrovich - Moscow State University of Civil Engineering (MGSU) postgraduate student, Department of Reconstruction and Repair of Housing and Utility Objects, Moscow State University of Civil Engineering (MGSU), Moscow State University of Civil Engineering (MGSU); This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 26-33

It is well known, that buildings and their bearing structures are subject to ageing, including corrosion, deterioration, etc. When faults in bearing structure are detected, disposal-at-failure maintenance should be made. But before that, it is necessary to assess the rate of deterioration.The author suggests to use finite element method for calculation of the safety margin of reinforced concrete bearing structures, because the finite element method is widely used in engineering practice of structural design. In the process of engineering inspection of reinforced concrete structures all defects of the inspected structure should be clearly specified. The article suggests to create the FEM-Model of the inspected structure in view of the fact that this structure is defected. In order to achieve this effect, the stiffness matrix of some finite elements should be changed and the FEM-Model must be created of volumetric finite elements (the article speaks about eight-node parallelepiped elements).At first the FEM-Model will be created of eight-node parallelepiped elements with standard descriptions for the reinforced concrete; then finite elements in damage area must be changed. On the basis of integral estimation of the mode of deformation, deformation ratio will be calculated, which is essential for the description assignment of the changes in stiffness matrix. The formulation of the deformation ratio includes all the possible defects of structure through indexes, which must be analytically calculated depending on the concrete defect.The method described in the article is useful in the process of engineering inspection of the reinforced concrete structures. Using this method can sufficiently specify the safety margin of a defected structure and forecast the future operational integrity of this structure under the acting load.

DOI: 10.22227/1997-0935.2013.11.26-33

References
  1. Karpenko N.I. Obshchie modeli mekhaniki zhelezobetona [General Models of the Reinforced Concretes Mechanics]. Moscow, Stroyizdat Publ., 1996, 416 p.
  2. Karpenko N.I. Teoriya deformirovaniya zhelezobetona s treshchinami [The Theory of Deformation of the Reinforced Concrete with Cracks]. Moscow, Stroyizdat Publ., 1976, 205 p.
  3. Murashev V.I. Treshchinostoykost', zhestkost' i prochnost' zhelezobetona [Crack Strength, Stiffness and Strength of the Reinforced Concrete]. Moscow, Mashstroy-izdat Publ., 1958, 268 p.
  4. Klovanich S.F., Bezushko D.I. Metod konechnykh elementov v nelineynykh raschetakh prostranstvennykh zhelezobetonnykh konstruktsiy [The Finite Element Method for Nonlinear Analysis of Three-dimensional Reinforced Concrete Structures]. Odessa, OMNU Publ., 2009.
  5. Klovanich S.F., Balan T.A. Variant teorii plastichnosti zhelezobetona s uchetom treshchinoobrazovaniya [The Variant of the PlasticityTheory of the Reinforced Concrete Considering Crack Formation]. Priblizhennye i chislennye metody resheniya kraevykh zadach. Matematicheskie issledovaniya [Approximate and Numerical Methods of the Boundary Problems Solution. Mathematical Analysis]. Kishinev, ShTIINTsA Publ., 1988, no. 101, pp. 10—18.
  6. Singiresu S. Rao. The Finite Element Method in Engineering. Fourth edition. Elsevier Science & Technology Books, Miami, 2004.
  7. Filip C. Filippou. Finite Element Analysis of Reinforced Concrete Structures under Monotonic Loads. Structural Engineering, Mechanics and Materials. Department of Civil Engineering, University of California, Berkeley, Report No. UCB/SEMM-90/14, 1990.
  8. Larry J. Segerlind. Applied Finite Element Analysis. Second edition. John Wiley & Sons, Inc., New York, 1937.
  9. Bondarenko V.M., Bondarenko S.V. Inzhenernye metody nelineynoy teorii zhelezobetona [Engineering Methods of the Reinforced Concretes Nonlinear Theory]. Moscow, Stroyizdat Publ., 1982, 287 p.
  10. Prokopovich I.E., Ulitskiy I.I. O teoriyakh polzuchesti betonov [On the Theories of Concrete Production]. Izvestiya vuzov. Stroitel'stvo i arkhitektura [News of the Institutions of Higher Education. Building and Architecture].1963, no. 10, pp. 13—34.

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Realization of a discrete-braced calculation model in flat finite elements

Vestnik MGSU 11/2013
  • Mamin Aleksandr Nikolaevich - Public stock company «Central Scientific-Research and Experimental-Design Institute of Industrial Buildings and Structures» Doctor of Technical Sciences, Professor, Head, Department IBC № 1, Public stock company «Central Scientific-Research and Experimental-Design Institute of Industrial Buildings and Structures», 46|/2, Dmitrovskoe shosse, Moscow, 127238, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Kodysh Emil' Naumovich - Public stock company «Central Scientific-Research and Experimental-Design Institute of Industrial Buildings and Structures» Doctor of Technical Sciences, Professor, Chief Designer, Department IBC №1, Public stock company «Central Scientific-Research and Experimental-Design Institute of Industrial Buildings and Structures», 46|/2, Dmitrovskoe shosse, Moscow, 127238, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Reutsu Aleksandr Viktorovich - Public stock company «Central Scientific-Research and Experimental-Design Institute of Industrial Buildings and Structures» Department IBC № 1, Public stock company «Central Scientific-Research and Experimental-Design Institute of Industrial Buildings and Structures», 46|/2, Dmitrovskoe shosse, Moscow, 127238, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 58-69

In the article the finite elements were developed that allow to take into consideration the design features of structures and the specific deformation of reinforced concrete without complicating the design scheme. The results of flat structures calculation under different types of loading are presented.The flat finite elements, which are used today in most widespread software systems for the calculation of the majority of buildings and structures, have significant drawbacks due to the peculiarities of the finite element method computational model. The two major drawbacks are: first, stiffness characteristics are specified as for rectangular cross-section and, second, constant stiffness characteristics over the entire area of finite elements is presupposed.These drawbacks are particularly evident in the process of calculating reinforced concrete structures and they significantly complicate the support systems design of multi-storey buildings. The simplifications used by the calculators are dangerous, as it is practically impossible to evaluate the resulting inaccuracies.The calculation model of the finite element method can be represented as a collection of nodes connected in one system with the help of finite elements, which conditionally replace the corresponding parts of a structure.Elasticity theory problems are solved with the help of finite elements of the shells and spatial finite elements. Here the accuracy of the results increases with the increase in breakdown frequency, and one of the main criteria for evaluating the effectiveness of discrete models is their convergence: the worse is the convergence — the higher breakdown frequency is needed to achieve the required accuracy of homogeneous structures calculations.In order to consider the factors affecting the calculations accuracy without increasing the complexity of making the design scheme, it is advisable to arrange a more detailed structure discretization on the stage of developing computational model. This concept is implemented in the discrete-braced computational model, which supposes replacement of the structure sections by the discreet braces combined in nodal points. The main advantages of discrete-braced model are determined by the possibility of multilevel discretization of a structure, achieved in terms of geometrical dimensions and in terms of the direction of digital communication, components of the stressstrain state, stiffness characteristics of digital communications, variable along the longitudinal axis and changing layer by layer in cross section.The basic diagram of the discrete-braced model is: the calculated structure is conditionally replaced by a set of nodes located at the layout grid lines crossing and linked in pairs by the discrete braces, which limit the mutual displacement of the nodal points for all the considered degrees of freedom.The stiffness characteristics of braces are set independently for each brace and each type of deformation on the basis of geometrical and deformational characteristics of the construction sections replaced by braces.In order to determine these sections, conventional boundary lines are traced on the structure, that are located between the grid lines. It is believed that these lines demarcate the structure sections that influence the stiffness parameters of the neighboring connections of one direction. Thus each out-of-node structure point belongs simultaneously to two sections. Stress-strain state of the structure, stiffness characteristics of the braces along the X and Y axes are defined independently of one another. The distributed internal forces arising in front sections of the braces are brought to concentrated generalized forces transmitted through the nodes between the braces in both directions.In the general case, each node of the obtained flat system has six degrees of freedom — three linear and three angular. Generalized displacements inside connections are described by linear functions. Each connection resists six types of deformations — tension and compression, shear in plane of the structure, shear out of the plane, torsion, rotation (bending in plane) and bending out of the plane. In the process of braces deformation, the efforts relevant to deformations appear in them: axial force , two shear forces, torque and two bending moments, and the stress-strain states during deformation of braces in plane and out of plane of the structure are independent from one another.It is offered to determine stress-strain state of the obtained discrete braced-noded system using the method of shifts by means of composing and solving the system of 6n linear algebraic equations (n — the number of nodes ).The accuracy and convergence of the calculation results for discrete-braced model of structural homogeneous isotropic elements is not inferior, and in some cases exceeds the accuracy and convergence of the finite element method results. The use of discretebraced model provides additional opportunities, in particular for non-linear calculations of reinforced concrete structures, which can significantly simplify the numerical schemes used, and thus significantly reduce the calculation complexity.

DOI: 10.22227/1997-0935.2013.11.58-69

References
  1. R.E. Miller. Reduction of the Error in Eccentric Beam Modeling. International Journal for Numerical Methods in Engineering. 1980, vol. 15, no. 4, pp. 575—582.
  2. Chupin V.V. Razrabotka metodov, algoritmov, rascheta plastin, obolochek i mekhanicheskikh sistem, primenyaemykh v stroitel'stve i mashinostroenii [Development of Methods, Algorithms, Calculation of Slabs, Shells and Mechanical Systems Used in Construction and Mechanical Engineering]. Sbornik referatov nauchno-issledovatel'skikh i opytno-konstruktorskikh rabot. Seriya 16: 30. Mekhanika [Collection of Scientific, Research and Development Works. Series 16: 30. Mechanics]. 2007, no. 5, p. 146.
  3. Mamin A.N. Primenenie metoda peremeshcheniy dlya rascheta zhelezobetonnykh konstruktsiy zdaniy po diskretno-svyazevoy raschetnoy modeli [Using Shifting Method for Calculating Reinforced Concrete Building Structures with the Help of Discrete-Braced Calculation Model]. Sovershenstvovanie arkhitekturno-stroitel'nykh resheniy predpriyatiy, zdaniy i sooruzheniy: sbornik nauchnykh trudov TsNIIpromzdaniy [Development of Architectural and Construction Decisions of Enterprises, Buildings and Structures: Collection of Scientific Works of the Central Scientific and Research Institute of Industrial Buildings]. Moscow, 2006, pp. 78—82.
  4. Kodysh Je.N., Mamin A.N., Dolgova T.B. Raschetnaya model' dlya proektirovaniya nesushchnykh sistem i elementov [Calculation Model for Designing Bearing Systems and Elements]. Zhilishhnoe stroitel'stvo [House Construction]. 2003, no.11, pp. 9—15.
  5. Shan Tang, Adrian M. Kopacz, Stephanie Chan O’Keeffe, Gregory B. Olson, Wing Kam Liu. Concurrent Multiresolution Finite Element: Formulation and Algorithmic Aspects. Computational Mechanics. 2013, vol. 52, no. 6, pp. 1265-1279.
  6. Popov O.N., Radchenko A.V. Nelineynye zadachi rascheta pologikh obolochek i plastin s razryvnymi parametrami [Non-linear Tasks of Shallow Shells and Slabs Calculation with Diffuse Parameters]. Mekhanika kompozitsionnykh materialov i konstruktsiy [Mechanics of Composite Materials and Structures]. 2004, vol. 10, no. 4, pp. 545—565.
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  8. Spacone E., El-Tawil S. Nonlinear Analysis of Steel–concrete Composite Structures: State of the Art. Journal of Structural Engineering. 2004, no. 130 (2), pp. 159—168.
  9. Kodysh E.N., Mamin A.N. Primenenie metoda diskretnykh svyazey dlya rascheta zhelezobetonnykh konstruktsiy mnogoetazhnykh zdaniy [Using Discrete Braced Method for Reinforced Concrete Structures Calculation of Multi-storeyed Buildings]. Naukovo-tekhnichni problemi suchasnogo zalizobetonu: sbornik nauchykh trudov [Scientific and Technical Problems of Modern Reinforced Concrete: Collection of Scientific Works]. Kiev, NDIBK Publ., 2005, pp. 159—164.
  10. Verifikatsionnyy otchet po programmnomu kompleksu MicroFe [Verificational Report on the Software MicroFe]. Moscow, RAASN Publ., 2009, 327 p.
  11. Alessandro Zona, Gianluca Ranzi. Finite Element Models for Nonlinear Analysis of Steel–concrete Composite Beams with Partial Interaction in Combined Bending and Shear. Finite Elements in Analysis and Design. 2011, vol. 47, no. 2, pp. 98—118.
  12. H. Panayirci, H. Pradlwarter, G. Schu?ller. Efficient Stochastic Finite Element Analysis Using Guyan Reduction. Software. 2010, no. 41 (412), pp. 1277—1286.
  13. Manakhov P.V., Fedoseev O.B. Ob al'ternativnom metode vychisleniya nakoplennoy plasticheskoy deformatsii v zadachakh plastichnosti s ispol'zovaniem MKE [On the Alternative Method of Calculating Cumulative Plastic Flow in the Plasticity Tasks Using FEM]. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [News of Institutions of Higher Education. Construction]. 2007, no. 7, pp. 16—22.
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Strength of the expandedstretching profile: tests and mathematical modeling

Vestnik MGSU 12/2013
  • Sinelnikov Aleksey Sergeevich - Saint Petersburg State Polytechnical University (SPbGPU) postgraduate student, Department of Unique Buildings and Structures Engineering, Saint Petersburg State Polytechnical University (SPbGPU), 29 Polytechnicheskaya, st., St.Petersburg, 195251, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Orlova Anna Vladimirovna - Saint Petersburg State Polytechnical University (SPbGPU) student, Department of Unique Buildings and Structures Engineering, Saint Petersburg State Polytechnical University (SPbGPU), 29 Polytechnicheskaya, st., St.Petersburg, 195251, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 41-54

This summary report is based on the experimental and numerical research of thin-walled cross-section’s compression resistance carried out in St. Petersburg State Polytechnical University. Current situation on the Russian market concerning the usage of cold-formed thin walled cross-sections is aimed at finding out a base foundation to start up a stipulation of the elements under discussion in the building industry. Some questions about the compression resistance of such cross-sections were raised at different conferences by scientific community and such companies as Arsenal ST, Baltprofile (Russia) and Rautaruukki Oyj (Finland). In this field a number of Doctoral theses have been defended during recent years in Russia (A.R. Tusnin, G.I. Belyy, I.V. Astakhov, D.V. Kuz'menko). Steel galvanized Cand U-profiles and thermo-profiles are the types of thin-walled cross-sections are normally used in small houses construction. Thermo-profiles have slots in webs that decrease the thermal flow through the web, but have negative effect on strength of the profiles. Reticular-stretched thermo-profile is a new type of thin-walled cross-sections that found its place on Russian market. These profiles were an object of the research. The carried out investigations included tests to prove the compression resistance of the thin-walled cross-sections. The compression tests as a result showed the behavior of stud’s profile under critical load. The specimen was compressed under various loads and deformation was recorded. In order to get buckling force a load-deformation diagram was plotted and analyzed. Analytical modeling of thin-walled cross-sections was done with contemporary analysis software (SCAD Office) using finite element method (FEM). During the modeling process the thin-walled profile based on shelland bar-elements were created and buckling analysis task showed good results.

DOI: 10.22227/1997-0935.2013.12.41-54

References
  1. Shatov D.S. Konechnoelementnoe modelirovanie perforirovannykh stoek otkrytogo secheniya iz kholodnognutykh profiley [Finite Element Modelling of Perforated Stays of Open Section Made of Cold-bent sections]. Inzhenerno stroitel'nyy zhurnal [Engineering Construction Journal]. 2011, no. 3, pp. 32—34.
  2. Gordeeva A.O., Vatin N.I. Raschetnaya konechno-elementnaya model' kholodnognutogo perforirovannogo tonkostennogo sterzhnya v programmno-vychislitel'nom komplekse SCADOffice. Inzhenerno stroitel'nyy zhurnal [Calculation Finite Element Model of a Cold-formed Perforated Thin-wall Shank in Programming and Computing Suite SCADOffice]. 2011, no. 3, pp. 36—46.
  3. Zhmarin E.N. Mezhdunarodnaya assotsiatsiya legkogo stal'nogo stroitel'stva [International Assosiation of Light Steel Engineering]. Stroitel'stvo unikal'nykh zdaniy i sooruzheniy [Construction of Unique Buildings and Structures]. 2012, no. 2, pp. 27—30.
  4. Yurchenko V.V. Proektirovanie karkasov zdaniy iz tonkostennykh kholodnognutykh profiley v srede «SCADOffice» [Buildings Framework Modellng Made of Thin-wall Cold-formed Profiles in SCADOffice]. Inzhenerno stroitel'nyy zhurnal [Engineering Construction Journal]. 2010, no. 8, pp. 38—46.
  5. Vatin N.I., Popova E.N. Termoprofil' v legkikh stal'nykh stroitel'nykh konstruktsiyakh [Thermal Profile in Light Steel Building Structures]. Saint Petersburg, SPbGPU Publ., 2006, 63 p.
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  7. Kretinin A.N., Krylov I.I. Osobennosti raboty tonkostennoy balki iz gnutykh otsinkovannykh profiley [Operation Features of Thin-wall Beam Made of Roll-Formed Zink-Coated Sections]. Izvestiya vysshikh uchebnykh zavedeniy. Stroitel'stvo [News of Institutions of Higher Education. Engineering]. 2008, no. 6, pp. 1—11.
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FINITE ELEMENT MODELING OF PROBLEMS OF GEOMECHANICS AND GEOPHYSICS

Vestnik MGSU 2/2012
  • Vlasov Alexander Nikolaevich - Institute of Applied Mechanics of the Russian Academy of Sciences (IAM RAS) Sergeev Institute of Environmental Geoscience of the Russian Academy of Sciences (IEG RAS) Doctor of Sciences, Principal Researcher Principal Researcher phone: 8 (495) 523-81-92, Institute of Applied Mechanics of the Russian Academy of Sciences (IAM RAS) Sergeev Institute of Environmental Geoscience of the Russian Academy of Sciences (IEG RAS), 32а Leninskij prospekt, Moscow, 119334, Russia Building 2, 13 Ulansky pereulok, 101000, Moscow, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Volkov-Bogorodskij Dmitrij Borisovich - , Institute of Applied Mechanics of the Russian Academy of Sciences (IAM RAS) Candidate of Physics and Mathematics, Senior Researcher 8 (499) 160-42-82, , Institute of Applied Mechanics of the Russian Academy of Sciences (IAM RAS), 32а Leninskij prospekt, Moscow, 119334, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Znamenskij Vladimir Valerianovich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor 8 (495) 589-23-37, Moscow State University of Civil Engineering (MSUCE), 26 Jaroslavskoe shosse, Moscow, 129337, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Mnushkin Mihail Grigor'evich - Sergeev Institute of Environmental Geoscience Russian Academy of Sciences (IEG RAS) Candidate of Technical Sciences, Principal Researcher, Sergeev Institute of Environmental Geoscience Russian Academy of Sciences (IEG RAS), Building 2, 13 Ulansky pereulok, 101000, Moscow, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 52 - 65

In the article, the authors consider some classes of problems of geomechanics that are resolved through the application of SIMULIA ABAQUS software. The tasks associated with the assessment of the zone of influence of structures produced on surrounding buildings and structures in the dense urban environment, as well as the tectonic and physical simulation of rifts with the purpose of identification of deformations of the Earth surface and other defects of lithospheric plates. These seemingly different types of tasks can be grouped together on the basis of common characteristics due to the complexity of numerical modeling problems of geomechanics and geophysics. Non-linearity of physical processes, complexity of the geological structure and variable thickness of layers, bed thinning layers, lenses, as well as singular elements, make it hard to consolidate different elements (for example, engineering and geological elements and associated structures of buildings) in a single model. In this regard, software SIMULIA ABAQUS looks attractive, since it provides a highly advanced finite-element modeling technique, including a convenient hexahedral mesh generator, a wide range of models of elastic and plastic strain of materials, and the ability to work with certain geometric areas that interrelate through the mechanism of contacting surface pairs that have restrictions. It is noteworthy that the research also facilitates development of personal analytical methods designated for the assessment of physical and mechanical properties of heterogeneous materials as well as new solutions applicable in the vicinity of singular elements of the area that may be used in modeling together with ABAQUS software.

DOI: 10.22227/1997-0935.2012.2.52 - 65

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  7. Bakhvalov N.S., Panasenko G.P. Homogenization of Processes in Periodic Media. Kluwer, Dordrecht/Boston/ London, 1989.
  8. Okado Y. Surface Deformation due to Shear and Tensile Faults in a Half-space. Bull. Seism. Soc. Am. ,1985, v. 75, pp. 1135—1154.
  9. Volkov-Bogorodskij D.B. O vychislenii jeffektivnyh harakteristik kompozicionnyh materialov s pomosch'ju blochnogo analitiko-chislennogo metoda [On Calculation of Effective Characterstics of Composite Materials by Means of a Block Method of Numerical Analysis]. Dinamicheskie i tehnologicheskie problemy mehaniki konstrukcij i sploshnyh sred [Dynamic and Technological Problems of Mechanics of Structures and Continuous Media]. Selected papers, Moscow, MAI, 2006, pp. 41—47.
  10. Volkov-Bogorodskij D.B., Sushko G.B., Harchenko S.A. Kombinirovannaja MPI+threads parallel'naja realizacija metoda blokov dlja modelirovanija teplovyh processov v strukturno-neodnorodnyh sredah [Combined MPI+threads Parallel Implementation of the Method of Blocks Applicable for Simulation of Heat Transfer Processes in Heterogeneous Media]. Vychislitel'nye metody i programmirovanie [Computational Methods and Programming], 2010, volume 11, pp. 127—136.
  11. Cristensen R.M. Mechanics of Composite Materials. J. Wiley & Sons, New York, 1978.
  12. UWay Software. Certificate of State Registration of the Software Program # 2011611833, issued on 28 February, 2011. Compliance Certificate ROSS RU.SP15.N00438, issued on 27 October, 2011.
  13. Vlasov A.N. Merzljakov V.P. Usrednenie deformacionnyh i prochnostnyh svojstv v mehanike skal'nyh porod [The Averaging of Deformation and Strength-related Properties within the Framework of Massive Rock Mechanics], Moscow, ASV, 2009, 208 p.

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Calculation of the three-layer shallow shell taking into account the creep of the middle layer

Vestnik MGSU 7/2015
  • Andreev Vladimir Igorevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, corresponding member of Russian Academy of Architecture and Construction Sciences, chair, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Yazyev Batyr Meretovich - Rostov State University of Civil Engineering (RSUCE) Doctor of Technical Sciences, Professor, Chair, Depart- ment of Strength of Materials; +7 (863) 201-91-09, Rostov State University of Civil Engineering (RSUCE), 162 Sotsialisticheskaya St., Rostov-on-Don, 344022, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Chepurnenko Anton Sergeevich - Don State Technical University (DGTU) Candidate of Engineering Science, teaching assistant of the strength of materials department, Don State Technical University (DGTU), 162 Sotsialisticheskaya str., Rostov-on-Don, 344022; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Litvinov Stepan Viktorovch - Rostov State University of Civil Engineering (RSUCE) , Rostov State University of Civil Engineering (RSUCE), 162 Sotsialisticheskaya str., Rostov-on-Don, 344022, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 17-24

The equations of the finite element method for calculation of sandwich shells taking into account creep were obtained. The shell is represented as a set of flat triangular elements. The thickness of the carrier layers is supposed to be small compared to the total thickness of the shell. It is assumed that the outer layers perceive normal stresses, and the average layer perceives the shear forces. In the derivation of governing equations we used variational Lagrange principle. According to this principle, the true moves of all the possible ones satisfying the boundary conditions, are the ones that give a minimum of the total energy. Total energy is the sum of the strain energy and the work of external forces. The problem is reduced to a system of linear algebraic equations. On the right side of this system there is the vector of the sum of the external nodal forces and the contribution of creep strains to the load vector. The calculations were performed in mathematical package Matlab. As the law for description of the relationship between stress and creep strain, we used linear creep theory of heredity. If the core of creep is exponential, the creep law can be written in differential form. This allows the calculation by step method using a linear approximation of the time derivative. The model problem has been solved for a spherical shell hinged along the contour. The relationship between the curvature of shell and the growth of deflections was analyzed. It was found out that for the shells of large curvature the creep has no appreciable effect on the deflections.

DOI: 10.22227/1997-0935.2015.7.17-24

References
  1. Kovalenko V.A., Kondrat’ev A.V. Primenenie polimernykh kompozitsionnykh materialov v izdeliyakh raketno-kosmicheskoy tekhniki kak rezerv povysheniya ee massovoy i funktsional’noy effektivnosti [The Use of Polymeric Composite Materials in Rocket and Space Technology as a Reserve to Increase Its Mass and Functional Efficiency]. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya [Aerospace Technics and Technology]. 2011, no. 5, pp. 14—20. (In Russian)
  2. Leonenko D.V. Radial’nye sobstvennye kolebaniya uprugikh trekhsloynykh tsilindricheskikh obolochek [Radial Natural Vibrations of Elastic Three-Layer Cylindrical Shells]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of Machines, Tools and Materials]. 2010, no. 3 (12), pp. 53—56. (In Russian)
  3. Bakulin V.N. Neklassicheskie utochnennye modeli v mekhanike trekhsloynykh obolochek [Non-classical Refined Models in the Mechanics of Sandwich Shells]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo [Vestnik of Lobachevsky State University of Nizhni Novgorod]. 2011, no. 4-5, pp. 1989—1991. (In Russian)
  4. Zemskov A.V., Pukhliy V.A., Pomeranskaya A.K., Tarlakovskiy D.V. K raschetu napryazhenno-deformirovannogo sostoyaniya trekhsloynykh obolochek peremennoy zhestkosti [Calculation of the stress-Strain State of Sandwich Shells with Variable Rigidity]. Vestnik Moskovskogo aviatsionnogo institute [Bulletin of Moscow Aviation Institute]. 2011, vol. 18, no. 1, p. 26. (In Russian)
  5. Kirichenko V.F. O sushchestvovanii resheniy v svyazannoy zadache termouprugosti dlya trekhsloynykh obolochek [Existence of the Solutions to a Connected Problem of Thermoelasticity of Sandwich Shells]. Izvestiya vysshikh uchebnykh zavedeniy. Matematika [Russian Mathematics]. 2012, no. 9, pp. 66—71. (In Russian)
  6. Sukhinin S.N. Matematicheskoe i fizicheskoe modelirovanie v zadachakh ustoychivosti trekhsloynykh kompozitnykh obolochek [Mathematical and physical Modeling in Problems оf Stability оf Three-Layer Composite Shells]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo [Vestnik of Lobachevsky State University of Nizhni Novgorod]. 2011, no. 4-5, pp. 2521—2522. (In Russian)
  7. Grigorenko Ya.M., Vasilenko A.T. O nekotorykh podkhodakh k postroeniyu utochnennykh modeley teorii anizotropnykh obolochek peremennoy tolshchiny [On Some Approaches to the Construction of the Specified Models of the Theory of Anisotropic Shells of Variable Thickness]. Matematichnі metodi ta fіziko-mekhanіchnі polya [Mathematical Methods and Physical-Mechanical Fields]. 2014, vol. 7, pp. 21—25. (In Russian)
  8. Bakulin V.N. Effektivnye modeli dlya utochnennogo analiza deformirovannogo sostoyaniya trekhsloynykh neosesimmetrichnykh tsilindricheskikh obolochek [Effective Models for Proximate Analysis of the Deformed State of Three-Layered Non-Axisymmetric Cylindrical Shells]. Doklady Akademii nauk [Reports of the Russian Academy of Sciences]. 2007, vol. 414, no. 5, pp. 613—617. (In Russian)
  9. Smerdov A.A., Fan Tkhe Shon. Raschetnyy analiz i optimizatsiya mnogostenochnykh kompozitnykh nesushchikh obolochek [Design Analysis and Optimization of Composite Bearing Shells]. Izvestiya vysshikh uchebnykh zavedeniy. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building]. 2014, no. 11 (656), pp. 90—98. (In Russian)
  10. Bakulin V.N. Postroenie approksimatsiy i modeley dlya issledovaniya napryazhenno-deformirovannogo sostoyaniya sloistykh neosesimmetrichnykh obolochek [Construction of Approximations and Models for Investigation of Stressed-Stained State of Layered Not- Axisymmetric Shells]. Matematicheskoe modelirovanie [Mathematical Modeling]. 2007, vol. 19, no. 12, pp. 118—128. (In Russian)
  11. Garrido M., Correia J., Branco F. Creep Behavior of Sandwich Panels with Rigid Polyurethane Foam Core and Glass-Fibre Reinforced Polymer Faces: Experimental Tests and Analytical Modeling. Journal of Composite Materials. 2013, pp. 21—28. DOI: http://dx.doi.org/10.1177/0021998313496593.
  12. Yazyev B.M., Chepurnenko A.S., Litvinov S.V., Yazyev S.B. Raschet trekhsloynoy plastinki metodom konechnykh elementov s uchetom polzuchesti srednego sloya [Calculation of Three-Layer Plates Using Finite Element Method Taking into Account the Creep of the Middle Layer]. Vestnik Dagestanskogo gosudarstvennogo tekhnicheskogo universiteta. Tekhnicheskie nauki [Herald of Dagestan State Technical University. Technical Sciences]. 2014, no. 33, pp. 47—55. (In Russian)
  13. Rabotnov Yu.N. Polzuchest’ elementov konstruktsiy [Creep of Structural Elements]. Moscow, Nauka Publ., 1966, 752 p. (In Russian)
  14. Kachanov L.M. Teoriya polzuchesti [Creep Theory]. Moscow, Fizmatgiz Publ., 1960, 680 p. (In Russian)
  15. Vol’mir A.S. Gibkie plastinki i obolochki [Flexible Plates and Shells]. Moscow, Izdatel’stvo Tekhniko-teoreticheskoy literatury Publ., 1956, 419 p. (In Russian)
  16. Andreev V.I., Yazyev B.M., Chepurnenko A.S. On the Bending of a Thin Plate at Nonlinear Creep. Advanced Materials Research. Trans Tech Publications, Switzerland. 2014, vol. 900, pp. 707—710. DOI: http://dx.doi.org/10.4028/www.scientific.net/AMR.900.707.
  17. Andreev V.I. Ob ustoychivosti polimernykh sterzhney pri polzuchesti [The Stability of Polymer Rods at Creep]. Mekhanika kompozitnykh materialov [Mechanics of Composite Materials]. 1968, no. 1, pp. 22—28. (In Russian)
  18. Chepurenko A.S., Andreev V.I., Yazyev B.M. Energeticheskiy metod pri raschete na ustoychivost’ szhatykh sterzhney s uchetom polzuchesti [Energy Method of Analysis of Stability of Compressed Rods with Regard for Creeping]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 1, pp. 101—108. (In Russian)
  19. Andreev V.I., Yazyev B.M., Chepurnenko A.S. Osesimmetrichnyy izgib krugloy gibkoy plastinki pri polzuchesti [Axisymmetric Bending of a Round Elastic Plate in Case of Creep]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 5, pp. 16—24. (In Russian)
  20. Kozel’skaya M.Yu., Chepurnenko A.S., Litvinov S.V. Raschet na ustoychivost’ szhatykh polimernykh sterzhney s uchetom temperaturnykh vozdeystviy i vysokoelasticheskikh deformatsiy [Stability Calculation of Compressed Polymer Rods with Account for Temperature Effects and Vysokoelaplastic Deformations]. Nauchno-tekhnicheskiy vestnik Povolzh’ya [Scientific and Technical Volga region Bulletin]. 2013, no. 4, pp. 190—194. (In Russian)

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Dynamic load calculation of a bending plate of average thickness using general equations of finite differences method

Vestnik MGSU 10/2014
  • Gabbasov Radek Fatykhovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Department of Structural Mechanics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (495) 287-49-14; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Hoang Tuan Anh - Moscow State University of Civil Engineering (MGSU) postgraduate student, Department of Structural Mechanics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (495) 287-49-14; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 16-23

The theory of plates and shells is the most important application of the theory of elasticity. Rectangular slabs of average thickness are quite widely in construction, engineering and other fields of modern technology. Calculation of such structures cannot be conducted on the basis of the classical theory of bending of thin plates. In order to obtain a reliable picture of stress-strain state of a plate with average thickness, it is necessary to use different versions of improved theories. The aim of this work is the use generalized equations of the finite difference method (FDM) to calculate the dynamic loads of the plates average with thickness basing on the Reissner theory. On the basis of the developed algorithms computer programs have been worked out for calculating the dynamic load of bending plates of average thickness. The algorithm of calculating the dynamic load of bending plates of average thickness according to generalized equations of FDM can be recommended for practical use in frames of studying process.

DOI: 10.22227/1997-0935.2014.10.16-23

References
  1. Amosov A.A. Ob ispol'zovanii utochennykh teoriy plastin i obolochek pri issledovanii svobodnykh kolebaniy [On the Use of Improved Theories of Plates and Shells in the Study of Free Oscillations]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanic and Calculation of Structures]. 1990, no. 1, pp. 36—39. (in Russian)
  2. Argiros Dzh., Sharpf D. Teoriya rascheta plastin i obolochek s uchetom deformatsiy poperechnogo sdviga na osnove metoda konechnogo elementa [Calculation Theory of Plates and Shells with the Transverse Shear Deformations on the Basis of the Finite Element Method]. Raschet uprugikh konstruktsiy s ispol'zovaniem EVM [Calculation of Elastic Structures Using ECM]. Leningrad, Sudostroenie Publ., 1974, vol. 1, pp. 179—210. (in Russian)
  3. Varvak P.M. Raschet tolstoy kvadratnoy plity, zashchemlennoy po bokovym granyam [Calculation of a Thick Square Plate Stiffened on the Side Edges]. Raschet prostranstvennykh konstruktsiy : sbornik statey [Calculation of Spatial Structures: Collection of Articles]. Moscow, Gosstroyizdat Publ., 1959, no. 5, pp. 245—259. (in Russian)
  4. Gabbasov R.F, Nizomov D. Chislennoe reshenie nekotorykh dinamicheskikh zadach stroitel'noy mekhaniki [Numerical Solutions of Some Dynamical Problems of Structural Mechanics]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 1985, no. 6, pp. 51—54. (in Russian)
  5. Timoshenko S.P., Woinowsky-Krieger S. Theory of Plates and Shells. McGraw-Hill, New York, 1959, second edition, 595 pp.
  6. Kiselev V.A. Raschet plastin [Calculation of Plates]. Moscow, Stroyizdat Publ., 1973, 151 p. (in Russian)
  7. Rabinovich I.M. Osnovy dinamicheskogo rascheta sooruzheniy na deystvie mgnovennykh i kratkovremennykh sil [Fundamentals of the Dynamic Analysis of Structures on an Instantaneous and Short-term Forces]. Moscow, Stroyizdat Publ., 1945, 85 p. (in Russian)
  8. Rabinovich I.M., Sinitsyn A.P., Terenin B.M. Raschet sooruzheniy na deystvie kratkovremennykh i mgnovennykh sil [Calculation of Structures for the Action of Short-term and Impulse Forces]. Moscow, VIA Publ., 1956, Vol. 1. Part 1. 464 p. (in Russian)
  9. Papush A.V. Raschet plity sredney tolshchiny s uchetom poperechnogo sdviga [Calculation of a Plate of the Average Thickness Taking into Account the Transverse Shear]. Tezisy respublikanskoy nauchno-praktickeskoy konferentsii uchenykh, Dushanbe, 12—14 aprelya, 1990. Sektsiya Tekhnicheskoy nauki : Sbornik nauchnykh statey [Theses of the Republican Scientific and Practical Conference of Scientists, Dushanbe, April 12—14, 1990. Technical Science Section : Collection of Scientific Articles]. Tadjik Republican Board of VNTO of the Construction Industry, Young Scientists Board of the Tadjik Polytechnic Institute, Dushanbe, 1990, pp. 84—86. (in Russian)
  10. Reva E.A. K resheniyu prostranstvennoy zadachi teorii uprugosti dlya tolstoy pryamougol'noy plity [On the Solution of the Spatial Problem of Elasticity Theory for a Thick Rectangular Plate]. Materialy 9-y nauchno-tekhnicheskoy konferentsii [Materials of the 9th Scientific and Technical Conference]. Kharkiv, UZPI, 1968, no. 2, pp. 128—131. (in Russian)
  11. Rustamov D., Khalikov R. Raschet plit sredney tolshchiny so smeshannymi usloviyami [Calculation of the Plates of Average Thickness with Mixed Conditions]. Chislennye metody v prikladnoy matematike [Computational Methods in Applied Mathematics]. Samarkand, 1979, pp. 44—50. (in Russian)
  12. Saakyan S.M. Izgib pryamougol'noy tolstoy plity s zadelannymi krayami [Bending of Rectangular Thick Plate with Clamped Edges]. Doklady AN Armenii SSR [Reports of the Armenian Academy of Sciences of the SSR]. 1965, issue 40, no. 3, pp. 137—143. (in Russian)
  13. Aynola L.Ya. Ob utochennykh teoriyakh plastinok tipa Reyssnera [On Improved Theories for the Reissner Theory of Plates]. Trudy IV Vsesoyuznoy konferentsii po teorii obolochek i plastin [Works of the 4th All-Union Conference on the Theory of Shells and Plates]. Erevan, 1964, pp.171—177. (in Russian)
  14. Green A.E. On Reissner’s Theory of Bending of Elastic Plates. Quart. Appl. Math. 1949, vol. 7, no. 2, pp. 223—228.
  15. Nordgren R.P. A Bound on the Error in Reissner’s Theory of Plates. Quart. Appl. Math., 1972, no. 29, pp. 551—556.
  16. Reissner E. The effect of transverse shear deformation on the bending of elastic plates. J. Appl. Mech. 1945, vol. 12, no. 2, pp. 69—77.
  17. Reissner E. On Bending of Elastic Plates. Quart. Appl. Math. 1947, vol. 5, no. 1, pp. 55—68.
  18. Reissner E. On Transverse Bending of Plates, Including the Effects of Transverse Shear Deformation. Int. J. Solids Struct. 1975, vol. 11, no. 5, pp. 569—573.
  19. Rychter Z. An Improved Bound on the Error in Reissner’s Theory of Plates. Arch. Mech. Warszawa, 1986, vol. 38, no. 1, 2, pp. 209—213.
  20. Gabbasov R.F., Gabbasov A.R., Filatov V.V. Chislennoe postroenie razryvnykh resheniy zadach stroitel'noy mekhaniki [Numerical Development of Discontinuous Solutions of the Problems of Structural Mechanics]. Moscow, ASV Publ., 2008, 277 p. (in Russian)

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Determination of heat losses of a window frame to the wall joint when replacing the outdated constructions of window blocks with modern ones

Vestnik MGSU 11/2015
  • Bedov Anatoliy Ivanovich - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Professor, Department of Reinforced Concrete and Masonry Structures, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Gaysin Askar Miniyarovich - Ufa State Petroleum Technological University (USPTU) Candidate of Technical Sciences, Associate Professor, Department of Building Structures, Ufa State Petroleum Technological University (USPTU), Office 225, 195, Mendeleeva St., Ufa, 450062, Russian Federation.
  • Gabitov Azat Ismagilovich - Ufa State Petroleum Technological University (USPTU) Doctor of Technical Sciences, Professor, Department of Building Structures, Ufa State Petroleum Technological University (USPTU), 195 Mendeleeva str., Ufa, 450062, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Galeev Rinat Grigor’evich - Ufa State Petroleum Technological University (USPTU) Candidate of Technical Sciences, Associate Professor, Department of Highways and Technology of Construction Production, Ufa State Petroleum Technological University (USPTU), 195 Mendeleeva str., Ufa, 450062, Russian Federation.
  • Salov Aleksandr Sergeevich - Ufa State Petroleum Technological University (USPTU) Candidate of Technical Sciences, Associate Professor, Department of Highways and Technology of Construction Production, Ufa State Petroleum Technological University (USPTU), 195 Mendeleeva str., Ufa, 450062, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Shibirkina Marina Sergeevna - Ufa State Petroleum Technological University (USPTU) engineer, Department of Highways and Technology of Construction Production, Ufa State Petroleum Technological University (USPTU), 195 Mendeleeva str., Ufa, 450062, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 46-57

In the Soviet Union a lot of residential buildings with wooden window systems were built. In the last 15 years the requirements to heat protection of buildings have strengthened and the technologies of window systems production have developed. New window constructions appeared, in which window frames of PVC profiles are used. So now double-casement windows with glass are replaced by single-casement with glass units. The replacement of windows is associated with a number of specific problems. The authors analyzed the quantitative parameters of the heat losses in the claddings of brick buildings. It was revealed that significant heat leakage occurs in the joint areas of window frame with the wall, at the junction of slopes. The authors offer a quantitative calculation of heat losses in these units in case of two-dimensional heat flux based on thermal conductivity matrix taking into account the convective heat transfer. On the basis of this calculation a computer program was developed that allows pinpointing the most problematic areas for choosing rational actions for elimination of cold bridges.

DOI: 10.22227/1997-0935.2015.11.46-57

References
  1. Boriskina I.V., Shvedov N.V., Plotnikov A.A. Sovremennye svetoprozrachnye konstruktsii grazhdanskikh zdaniy [Modern Translucent Constructions of Civil Buildings]. Saint Petersburg, NIUPTs «Mezhregional’nyy institut okna» Publ., 2005, vol. 1. Osnovy proektirovaniya [Fundamentals of the Design]. 160 p. (In Russian)
  2. Babkov V.V., Gaysin A.M., Fedortsev I.V., Sinitsin D.A., Kuznetsov D.V., Naftulovich I.M., Kil’dibaev R.S., Kolesnik G.S., Karanaeva R.Z., Savateev E.B., Dolgodvorov V.A., Gusel’nikova N.E., Gareev P.P. Teploeffektivnye konstruktsii naruzhnykh sten zdaniy, primenyaemye v praktike proektirovaniya i stroitel’stva respubliki Bashkortostan [Thermal Efficiency of External Walls of Buildings Used in the Practice of Design and Construction in the Republic of Bashkortostan]. Stroitel’nye materialy [Construction Materials]. 2006, no. 5, pp. 43—46. (In Russian)
  3. Gaysin A.M., Gareev R.R., Babkov V.V., Nedoseko I.V., Samokhodova S.Yu. Dvadtsatiletniy opyt primeneniya vysokopustotnykh vibropressovannykh betonnykh blokov v Bashkortostane [Twenty Years Experience of Applying High-Hollow Vibrocompressed Concrete Blocks in Bashkortostan]. Stroitel’nye materialy [Construction Materials]. 2015, no. 4, pp. 82—86. (In Russian)
  4. Bedov A.I., Babkov V.V., Gabitov A.I., Gajsin A.M., Rezvov O.A., Kuznecov D.V., Gafurova Je.A., Sinicin D.A. Konstruktivnye reshenija i osobennosti rascheta teplozaschity naruzhnyh sten zdanij na osnove avtoklavnyh gazobetonnyh blokov [Structural Solutions and Special Features of the Thermal Protection Analysis of Exterior Walls of Buildings Made of Autoclaved Gas-Concrete Blocks]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 2, pp. 98—103. (In Russian)
  5. Babkov V.V., Gaysin A.M., Arkhipov V.G., Naftulovich I.M., Gareev R.R., Moskalev A.P., Kolesnik G.S. Mnogoetazhnye oblitsovki v konstruktsiyakh naruzhnykh teploeffektivnykh trekhsloynykh sten zdaniy [Multi-storey Veneer at the Exterior Thermal Efficient Three-Layer Walls of Buildings]. Stroitel’nye materialy [Construction Materials]. 2003, no. 10, pp. 10—13. (In Russian)
  6. Samarin O.D. Osnovy obespecheniya mikroklimata zdaniy [Bases of Maintenance of Microclimate in Buildings]. Moscow, ASV Publ., 2014, 208 p. (In Russian)
  7. Nedoseko I.V., Pudovkin A.N., Kuz’min V.V., Aliev R.R. Keramzitobeton v zhilishchno-grazhdanskom stroitel’stve v Respublike Bashkortostan. Problemy i perspektivy [Claydite-concrete in Civil Engineering in the Republic of Bashkortostan. Problems and Prospects]. Zhilishchnoe stroitel’stvo [Housing Construction]. 2015, no. 4, pp. 16—20. (In Russian)
  8. Rakhmankulov D.L., Gabitov A.I., Abdrakhimov R.R., Gaysin A.M., Gabitov A.A. Iz istorii razvitiya kontrolya kachestva materialov i tekhnologiy [From the History of Quality Control Development of Materials and Technologies]. Bashkirskiy khimicheskiy zhurnal [Bashkir Chemical Journal]. 2006, vol. 13, no. 5, pp. 93—95. (In Russian)
  9. Samarin V.S., Babkov V.V., Gaysin A.M., Egorkin N.S. Perspektivy krupnopanel’nogo domostroeniya v Respublike Bashkortostan [The Prospects of Large-Panel Housing Construction in the Republic Bashkortostan]. Zhilishchnoe stroitel’stvo [Housing Construction]. 2011, no. 3, pp. 12—14. (In Russian)
  10. Shagmanov R.R., Shibirkina M.S. Raschet teplozashchitnykh kharakteristik okon [Calculation of Thermal Properties of Windows]. Problemy stroitel’nogo kompleksa Rossii : materialy XIKh Mezhdunarodnoy nauchno-tekhnicheckoy konferentsii (g. Ufa, 10—12 marta 2015 g.)[The Problems of the Construction Complex of Russia : Materials of the 19th International Scientific-Technical Conference, 10—12 March 2015]. Ufa, 2015, pp. 90—92. (In Russian)
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Possibility of using finite element method in the form of classical mixed method for geometrical nonlinear analysis of hinged-rod systems

Vestnik MGSU 12/2015
  • Ignat’ev Aleksandr Vladimirovich - Volgograd State University of Architecture and Civil Engineering (VSUACE) Candidate of Technical Sciences, Associate Professor, Department of Structural Mechanics, Volgograd State University of Architecture and Civil Engineering (VSUACE), 1 Akademicheskaya str., Volgograd, 400074, Russian Federation.
  • Ignat’ev Vladimir Aleksandrovich - Volgograd State University of Architecture and Civil Engineering (VSUACE) Doctor of Technical Sciences, head, Department of Structural Mechanics, Volgograd State University of Architecture and Civil Engineering (VSUACE), 1 Akademicheskaya str., Volgograd, 400074, Russian Federation.
  • Onishchenko Ekaterina Valer’evna - Volgograd State University of Architecture and Civil Engineering (VSUACE) external student, Department of Structural Mechanics, Volgograd State University of Architecture and Civil Engineering (VSUACE), 1 Akademicheskaya str., Volgograd, 400074, Russian Federation.

Pages 47-58

At the present time a great number of works have been published, in which the problems of numerical solution of geometrical nonlinear tasks of calculating different types of structures are considered. Nevertheless the problem of the certainty of the numerical solution of geometrical nonlinear tasks of rod structures deformation (large displacements) still provokes great interest. The quality of the solution for a certain task is proved only by the coincidence of the results obtained before using two different methods or with the experiment. The authors consider the numerical solution algorithm of geometrical nonlinear tasks of the deformation of hinged-rod systems (large displacements and turns) both in case of high and gentle loading basing on the finite element method in the form of classical mixed method being developed by the authors. Solving the problem of static deformation of a flat mechanical hinged-rod system consisting of two linear-elastic rods the authors show the simplicity and efficiency of the algorithm when finding all the range equilibrium system states. The quality of the solution is proved by the coincidence of the results in case of gentle and heavy loading of the system and with the results of other investigations.

DOI: 10.22227/1997-0935.2015.12.47-58

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