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DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

Influence of the contact area and value of the linearly distributed and concentrated mass with a circular cylindrical shell on the frequency and modes of natural oscillations

Vestnik MGSU 7/2014
  • Seregin Sergey Valer'evich - Komsomolsk on Amur State Technical University (KnAGTU) postgraduate student, Department of Construction and Architecture, Komsomolsk on Amur State Technical University (KnAGTU), 27 Lenina st, Komsomolsk on Amur, 681013, Russian Federation; (4217) 24-11-41; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 64-74

Finite element method shows the influence of the joining area and the relative value of linearly distributed mass along the angular coordinate and concentrated mass on natural oscillations and forms of a closed, circular cylindrical shell. We defined the ranges of concentrated and linearly distributed mass, added to a shell. The variation of the concentrated mass contact area markedly affects the lower frequency of the "shell-mass" system, in this connection, reducing the area of the shell leads to a marked decrease of the lowest split natural frequencies. The greatest of split natural frequencies decreases markedly with the increasing of contact area. More complex (mixed) oscillation modes of the "shell-mass" are detected. Dependence of the geometric characteristics of the shell with a concentrated mass of the lower split natural frequencies lower tone of oscillations, thus, revealing the dependence of frequencies on the length of the sheath. Linear contact area variation of the added mass and the circular coordinate has little effect on the oscillation frequency of the "shell-mass" system.

DOI: 10.22227/1997-0935.2014.7.64-74

References
  1. Zarutskiy V. A., Telalov A. I. Kolebaniya tonkostennykh obolochek s konstruktivnymi osobennostyami. Obzor eksperimental'nykh issledovaniy [Oscillations of Thin Shells with Design Features. Experimental Researches]. Prikladnaya mekhanika [Applied Mechanics]. 1991, vol. 278, no. 4, pp. 3—9.
  2. Avramov K.V., Pellicano F. Dynamical Instability of Cylindrical Shell with Big Mass at the End. Reports of the National Academy of Science of Ukraine. 2006, no. 5, pp. 41—46.
  3. Seregin S.V. Issledovanie dinamicheskikh kharakteristik obolochek s otverstiyami i prisoedinennoy massoy [Research of Dynamic Shell Properties with Holes and Added Mass]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 4, pp. 52—58.
  4. Kubenko V.D., Koval'chuk P.S., Krasnopol'skaya T.S. Nelineynoe vzaimodeystvie form izgibnykh kolebaniy tsilindricheskikh obolochek [Nonlinear Interaction of Flexural Cylindrical Shell Oscillations]. Kiev, 1984, 220 p.
  5. Andreev L.V., Dyshko A.L., Pavlenko I.D. Dinamika plastin i obolochek s sosredotochennymi massami [Dynamics of Plates and Shells with Concentrated Masses]. Moscow, 1988, 200 p.
  6. Kubenko V.D., Koval’chuk P.S. Experimental Studies of the Oscillations and Dynamic Stability of Laminated Composite Shells. International Applied Mechanics. 2009, vol. 45, no. 5, pp. 514—533. DOI: http://dx.doi.org/10.1007/s10778-009-0209-4.
  7. Sivak V.F., Sivak V.V. Experimental Investigation into the Oscillations of Shells of Revolution with Added Masses. International Applied Mechanics. 2002, vol. 38, no. 5, pp. 623—627.
  8. Seregin S.V. Vliyanie prisoedinennogo tela na chastoty i formy svobodnykh kolebaniy tsilindricheskikh obolochek [Influence of Attached Body on Natural Oscillation Frequency Modes]. Stroitel'naya mekhanika i raschet sooruzheniy [Building Mechanics and Calculation Installations]. 2014, no. 3, pp. 35— 39.
  9. Trotsenko Yu.V. Frequencies and Modes of Cylindrical Shell Oscillation with Attached Stiff Body. Journal of Sound and Oscillation. 2006, vol. 292, no. 3—5, pp. 535—551.
  10. Amabili M., Garziera R., Carra S. The Effect Rotary Inertia of Added Masses on Oscillations of Empty and Fluid-filled Circular Cylindrical Shells. Journal of Fluids and Structures. 2005, vol. 21, no. 5—7, ðp. 449—458.
  11. Mallon N.J. Dynamic Stability of a Thin Cylindrical Shell with Top Mass Subjected to Harmonic Base-Acceleration. International Journal of Solids and Structures. 2008, vol. 45 (6), pp. 1587—1613.
  12. Amabili M., Garziera R., Carra S. The Effect of Rotary Inertia of Added Masses on Oscillations of Empty and Fluidfilled Circular Cylindrical Shells. Journal of Fluids and Structures. 2005, vol. 21, no. 5—7, pp. 449—458.
  13. Amabili M., Garziera R. Oscillations of Circular Cylindrical Shells with Nonuniform Constraints, Elastic Bed and Added Mass. Part III: Steady Viscous Effects on Shells Conveying Fluid. Journal of Fluids and Structures. 2002, vol. 16, no. 6, pð. 795—809.
  14. Leyzerovich G.S., Prikhod'ko N.B., Seregin S.V. O vliyanii maloy prisoedinennoy massy na kolebaniya raznotolshchinnogo krugovogo kol'tsa [Influence of Low Added Mass on Oscillations of Circular Spline with Varied Thickness]. Stroitel'stvo i rekonstruktsiya [Building and Reconstruction]. 2013, no. 4, pp. 38—41.
  15. Leyzerovich G.S., Prikhod'ko N.B. Seregin S.V. O vliyanii maloy prisoedinennoy massy na rasshcheplenie chastotnogo spektra krugovogo kol'tsa s nachal'nymi nepravil'nostyami [Influence of Low Added Mass on Frequency Spectrum of Circular Spline with Initial Imperfections]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanics and Structural Analysis]. 2013, no. 6, pp. 49—51.
  16. Khalili S.M.R., Tafazoli S. Malekzadeh K. Fard. Natural Oscillations of Laminated Composite Shells with Uniformly Distributed Added Mass Using Higher Order Shell Theory Including Stiffness Effect. Journal of Sound and Oscillation. 2011, vol. 330, no. 26, ðð. 6355—6371.

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APPLICATION OF PRESTRESSED SHELLS TO STRENGTHEN STRIP FOUNDATIONS

Vestnik MGSU 2/2012
  • Ter-Martirosjan Zaven Grigor'evich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor, Distinguished Scholar of the Russian Federation, Head of Department of Soil, Ground Foundation and Foundation Mechanics 8 (499) 261-59-88, 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 .
  • Pronozin Jakov Aleksandrovich - Tjumen' State University of Civil Engineering and Architecture Candidate of Technical Sciences, Associated Professor, Head of Department of Building Processes, Ground Foundations and Foundations 8 (3452) 43-49-92, Tjumen' State University of Civil Engineering and Architecture, 2 Lunacharskogo St., Tjumen, 625000, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Naumkina Julija Vladimirovna - Tjumen' State University of Civil Engineering and Architecture postgraduate student, Department of Building Structures 8 (3452) 43-49-92, Tjumen' State University of Civil Engineering and Architecture, 2 Lunacharskogo St., Tjumen, 625000, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 30 - 34

Effective method of strengthening of foundations of existing buildings by pre-stressed shells is considered in the paper. Advantages of the proposed strengthening method, its production technology and pre-conditions of its analysis are also presented. Presently, strengthening of ground foundations and foundations of buildings and structures is a relevant civil engineering challenge. It is driven by high intensity of restructuring and modernization of buildings and alteration of geological engineering conditions of the areas that are being built up. One of effective methods of strengthening of foundations of existing buildings represents arrangement of pre-stressed concrete shells with conventional steel or metal-free reinforcement. If compared with injection-based technologies, the proposed reinforcement method reduces the cost of construction work by 1.5 times, on average. Therefore, the per-unit cost of shell-based reinforcement of foundations is under 500 Russian roubles per 1 sq. m. of the building floor area. It is noteworthy that no restrictions are imposed on the operation of the building in the course of the above reconstruction, as the secluded backyard is the sole area that accommodates supplementary construction operations.

DOI: 10.22227/1997-0935.2012.2.30 - 34

References
  1. Mangushev R.A. Sovremennye svajnye tehnologii [Contemporary Pile Technologies]. Moscow, ASV, 2007.
  2. Patent 2380483 of the Russian Federation, MPK E 02 D 27/00. Foundation/ Ja.A. Pronozin, R.V. Mel'nikov. ¹ 2008124706/03; 2008, Bulletin # 3.

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Variation and parametric choice method for rational parameters of reinforced orthotropic rotational shells

Vestnik MGSU 10/2014
  • Ignat'ev Oleg Vladimirovich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Vice-Rector, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (499) 183-94-82; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Karpov Vladimir Vasil'evich - Saint-Petersburg State University of Architecture and Civil Engineering (SPSUACE) Doctor of Technical Sciences, Professor, Department of Applied Mathematics and Computer Science, Saint-Petersburg State University of Architecture and Civil Engineering (SPSUACE), 190005, 4 Vtoraya Krasnoarmeyskaya str., Saint Petersburg, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Semenov Aleksey Aleksandrovich - Saint-Petersburg State University of Architecture and Civil Engineering (SPSUACE) postgraduate student, senior lecturer, Department of Applied Mathematics and Computer Science, Saint-Petersburg State University of Architecture and Civil Engineering (SPSUACE), 190005, 4 Vtoraya Krasnoarmeyskaya str., Saint Petersburg, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 24-33

In the modern construction, shipbuilding, mechanical, aircraft engineering and other fields of industry structures in the form of shells, including orthotropic shells, gained widespread currency. In order to raise their rigidity they are strengthened by reinforcing elements (ribs). In the process of shell constructions’ design the choice of rational construction parameters is very important (rational placement of ribs, their rigidity, curvature). The volume of the shell material is usually a minimalised efficiency function. At that the limit values of stress level in the shell and its stability are the restrictions. It is proposed to use variation and parametric method for choosing the angle and reinforcements by stiffening plates so that the shell construction would not lose its stability and reliability. The applied method with change of continuation parameters gives a scheme of coordinate-wise incline, which provides relative simplicity of choosing rational construction type in case of the given loads and restrictions on its stress-strain state.

DOI: 10.22227/1997-0935.2014.10.24-33

References
  1. Pikul' V.V. Sovremennoe sostoyanie teorii ustoychivosti obolochek [The Current State of Shell Stability Theory]. Vestnik Dal'nevostochnogo otdeleniya Rossiyskoy akademii nauk [Proceedings of Far Eastern Branch of the Russian Academy of Sciences]. 2008, no. 3, pp. 3—9. (in Russian)
  2. Treshchev A.A., Shereshevskiy M.B. Issledovanie NDS pryamougol'noy v plane obolochki polozhitel'noy gaussovoy krivizny iz ortotropnykh materialov s uchetom svoystv raznosoprotivlyaemosti [Investigation of Stress-Strain State of a Rectangular-plan Shell of a Positive Gaussian Curvature Made of Orthotropic Materials with Account for Multimodulus Behavior Features]. Vestnik Volgogradskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. Seriya Stroitel'stvo i arkhitektura [Proceedings of Volgograd State University of Architecture and Civil Engineering. Series: Construction and Architecture]. 2013, no. 31 (50), part 2, pp. 414—421. (in Russian)
  3. Karpov V., Semenov A. Strength and Stability of Orthotropic Shells. World Applied Sciences Journal. 2014, 30 (5), pp. 617—623. Available at: http://www.idosi.org/wasj/wasj30(5)14/14.pdf. Date of access: 12.09.2014. DOI: http://dx.doi.org/10.5829/idosi.wasj.2014.30.05.14064.
  4. Maksimyuk V.A., Storozhuk E.A., Chernyshenko I.S. Variational Finite-difference Methods in Linear and Nonlinear Problems of the Deformation of Metallic and Composite Shells (Review). International Applied Mechanics. 2012, vol. 48, no. 6, pp. 613—687. DOI: http://dx.doi.org/10.1007/s10778-012-0544-8.
  5. Qatu M.S., Sullivan R.W., Wang W. Recent Research Advances on the Dynamic Analysis of Composite Shells: 2000—2009. Composite Structures. 2010, vol. 93, no. 1, pp. 14—31. DOI: http://dx.doi.org/10.1016/j.compstruct.2010.05.014.
  6. Trushin S.I., Sysoeva E.V., Zhuravleva T.A. Ustoychivost' nelineyno deformiruemykh tsilindricheskikh obolochek iz kompozitsionnogo materiala pri deystvii neravnomernykh nagruzok [Stability of Nonlinear Deformable Cylindrical Shells Made of Composite Material under Action of Nonuniform Loads]. Stroitel'naya mekhanika inzhenernykh konstruktsiy i sooruzheniy [Structural Mechanics of Engineering Structures and Constructions]. 2013, no. 2, pp. 3—10. (in Russian)
  7. Kirakosyan R.M. Ob odnoy utochnennoy teorii gladkikh ortotropnykh obolochek peremennoy tolshchiny [On One Improved Theory of Smooth Orthotropic Shells of Variable Thickness]. Doklady natsional'noy akademii nauk Armenii [Reports of National Academy of Sciences of Armenia]. 2011, no. 2, pp. 148—156. (in Russian)
  8. Antuf'ev B.A. Lokal'noe deformirovanie diskretno podkreplennykh obolochek [Local Deformation of Discretely Reinforced Shells]. Moscow, MAI Publ., 2013, 182 p. (in Russian)
  9. Moskalenko L.P. Effektivnost' podkrepleniya pologikh obolochek rebrami peremennoy vysoty [Reinforcement Efficiency of Shallow Shells by Ribs of Variable Height]. Vestnik grazhdanskikh inzhenerov [Bulletin of Civil Engineers]. 2011, no. 3 (28), pp. 46—50. (in Russian)
  10. Qu Y., Wu S., Chen Y., Hua H. Vibration Analysis of Ring-Stiffened Conical—Cylindrical—Spherical Shells Based on a Modified Variational Approach. International Journal of Mechanical Sciences. April 2013, vol. 69, pp. 72—84. Available at: http://dx.doi.org/10.1016/j.ijmecsci.2013.01.026/. Date of access: 29.08.2014.
  11. Maksimyuk V.A., Storozhuk E.A., Chernyshenko I.S. Nonlinear Deformation of Thin Isotropic and Orthotropic Shells of Revolution with Reinforced Holes and Rigid Inclusions. International Applied Mechanics. 2013, vol. 49, no. 6, pp. 685—692. DOI: http://dx.doi.org/10.1007/s10778-013-0602-x.
  12. Lindgaard E., Lund E. A Unified Approach to Nonlinear Buckling Optimization of Composite Structures. Computers & Structures. 2011, vol. 89, no. 3—4, pp. 357—370. DOI: http://dx.doi.org/10.1016/j.compstruc.2010.11.008.
  13. Tomás A., Martí P. Shape and Size Optimisation of Concrete Shells. Engineering Structures. 2010, vol. 32, no. 6, pp. 1650—1658. DOI: http://dx.doi.org/10.1016/j.engstruct.2010.02.013.
  14. Amiro I.Ya., Zarutskiy V.A. Issledovaniya v oblasti ustoychivosti rebristykh obolochek [Investigations in the Field of Ribbed Shells’ Stability]. Prikladnaya mekhanika [Applied Mechanics]. 1983, vol. 19, no. 11, pp. 3—20. (in Russian)
  15. Ignat'ev O.V., Karpov V.V., Filatov V.N. Variatsionno-parametricheskiy metod v nelineynoy teorii obolochek stupenchato-peremennoy tolshchiny [Variational and Parametric Method in Nonlinear Theory of Shells of Step-Variable Thickness]. Volgograd, VolgGASA Publ., 2001, 210 p. (in Russian)
  16. Bakouline N., Ignatiev O., Karpov V. Variation Parametric Research Technique of Variable by Step Width Shallow Shells with Finite Deflections. International Journal for Computational Civil and Structural Engineering. 2000, vol. I, no. 3, pp. 1—6.
  17. Karpov V.V., Ignat'ev O.V. Metod posledovatel'nogo izmeneniya krivizny [Method of Consequent Change in Curvature]. Matematicheskoe modelirovanie, chislennye metody i kompleksy programm : mezhvuzovskiy tematicheskiy sbornik trudov [Mathematical Modeling, Numerical Methods and Program System]. Saint Petersburg, SPbGASU Publ., 1996, no. 2, pp. 131—135. (in Russian)
  18. Karpov V.V. Prochnost' i ustoychivost' podkreplennykh obolochek vrashcheniya: v 2 ch. Ch. 1: Modeli i algoritmy issledovaniya prochnosti i ustoychivosti podkreplennykh obolochek [Stability and Reliability of Reinforced Rotational Shells: in 2 Parts. Part 1: Research Models and Algorithms of Stability and Reliability of Reinforced Shells]. Moscow, Fizmatlit Publ., 2010, 288 p. (in Russian)
  19. Karpov V.V., Semenov A.A. Matematicheskaya model' deformirovaniya podkreplennykh ortotropnykh obolochek vrashcheniya [Mathematical Deformation Model of Reinforced Orthotropic Rotational Shells]. Inzhenerno-stroitel'nyy zhurnal [Magazine of Civil Engineering]. 2013, no. 5, pp. 100—106. (in Russian)
  20. Petrov V.V. Metod posledovatel'nykh nagruzheniy v nelineynoy teorii plastinok I obolochek [Method of Consequent Loadings in Nonlinear Theory of Plates and Shells]. Saratov, SGU im. N.G. Chernyshevskogo Publ., 1975, 119 p. (in Russian)

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STABILITY OF TRUNCATED CIRCULAR CONICAL SHELL EXPOSED TO AXIAL COMPRESSION

Vestnik MGSU 10/2012
  • Litvinov Vladimir Vital'evich - Rostov State University of Civil Engineering (RGSU) Director, Laboratory of Department of Strength of Materials, 8 (863) 201-91-36, Rostov State University of Civil Engineering (RGSU), 162 Sotsialisticheskaya St., Rostov-Don, 344022, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • 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 .
  • 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 .

Pages 95 - 101

The problem of stability of a freely supported truncated circular conical shell, compressed by the upper base of a uniformly distributed load per unit length , referred to the median shell surface and directed along the generatrix of the cone, was solved by the Ritz-Timoshenko energy method. The orthogonal system of curvilinear coordinates of the points of the middle surface of the shell was adopted to solve the problem. Possible displacements were selected in the form of double series approximation functions. The physical principle of inextensible generatrix of the cone exposed to buckling at the moment of instability was employed. In addition, the fundamental principle of continuum mechanics, or the principle of minimal total potential energy of the system, was taken as the basis. According to the linear elasticity theory, energy methods make it possible to replace the solution of complex differential equations by the solution of simple linear algebraic equations. As a result, the problem is reduced to the problem of identifying the eigenvalues in the algebraic theory of matrices. The numerical value of the critical load was derived through the employment of the software.

DOI: 10.22227/1997-0935.2012.10.95 - 101

References
  1. Vol’mir A.S. Ustoychivost’ deformiruemykh sistem [Stability of Deformable Systems]. Nauka Publ., 1967, 984 p.
  2. Birger I.A., Panovko Ya.G. Prochnost’. Ustoychivost’. Kolebaniya [Strength. Stability. Vibrations]. Reference book. Moscow, Mashinostroenie Publ., 1968, vol. 3, 568 p.
  3. Alfutov N.A. Osnovy rascheta na ustoychivost’ uprugikh sistem [Fundamentals of Analysis of Stability of Elastic Systems]. Moscow, Mashinostroenie Publ., 1991, 336 p.
  4. Gol’denveyzer A.L. Teoriya tonkikh uprugikh obolochek [Theory of Thin Elastic Shells]. Moscow – Leningrad, Gostekhizdat Publ., 1953, 544 p.
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