DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

Generalized equations of finite difference method in the problems of dynamic load calculation for thin bending plates

Vestnik MGSU 9/2014
  • 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 .
  • Shikunov Maksim Alekseevich - 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 32-38

Bending plate is widely used in the construction of large-span structures. Its advantage is light weight, industrial production, low cost and easy installation. Implementing the algorithm for calculating bending plates in engineering practice is an important issue of the construction science. The generalized equations of finite difference method is a new trend in the calculation of building construction. FDM with generalized equation provides additional options for an engineer along with other methods (FEM). In the article the algorithm for dynamic calculation of thin bending plates basing on FDM was developed. The computer programs for dynamic calculation were created on the basis of the algorithm. The authors come to the conclusion that the more simple equations of FDM can be used in case of solving the impulse load problems in dynamic load calculation of thin bending plate.

DOI: 10.22227/1997-0935.2014.9.32-38

References
  1. Belotserkovkiy I.Ya. Kolebaniya pryamougol'nykh plastin peremennoy zhestkosti [Vibrations of Rectangular Plates of Variable Rigidity]. Teoriya plastin i obolochek [Theory of Plates and Shells]. Kiev, AN USSR Publ., 1962, pp. 300—304.
  2. Timoshenko S.P., Voynovskiy-Kriger S. Plastinki i obolochki [Plates and Shells]. Moscow, Nauka Publ., 1966, 635 p.
  3. Kiselev V.A. Raschet plastin [Calculation of Plates]. Moscow, Stroyizdat Publ., 1973, 151 p.
  4. Green A.E. On Reissner’s Theory of Bending of Elastic Plates. Quart. Appl. Math. 1949, vol. 7, no. 2, pp. 223—228.
  5. Naghdi P.M. On the Theory of Thin Elastic Shells. Quart. Appl. Math. 1957, vol. 14, no. 4, pp. 369—380.
  6. Reissner E. On the Theory of Bending of Elastic Plates. J. Math. and Phys. 1944, vol. 23, no. 4, pp. 184—191.
  7. Reissner E. On the Transverse Bending of Plates, Including the Effect of Transverse Shear Deformation. Int. J. Solids and Struct. 1975, vol. 11, no. 5, pp. 569—573. DOI: http://dx.doi.org/10.1016/0020-7683(75)90030-X.
  8. Salerno V.L., Goldberg M.A. Effect of Shear Deformation on the Bending of Rectangular Plates. J. Appl. Mech. 1960, vol. 27, no. 1, pp. 54—59. DOI: http://dx.doi.org/10.1115/1.3643934.
  9. Buzun I.M. Metod konechnykh raznostey i metod konechnykh elementov. Sravnenie resheniy dlya plastin [Finite Difference Method and Finite Element Method. Comparison of Solutions for Plate]. Trudy Tyumenskogo industrial'nogo instituta [Works of Tyumen Industrial Institute]. 1974, no. 40, pp. 79—87.
  10. Vaynberg D.V. Chislennye metody v teorii obolochek i plastin [Numerical Methods in the Theory of Shells and Plates]. Trudy VI Vsesoyuznoy konferentsii po teorii obolochek i plastin [Proceedings of the VI All-Union Conference on the Theory of Shells and Plates]. Moscow, Nauka Publ., 1966, pp. 890—895.
  11. Ivanov S.A. Analiz izgibaemykh plastinok metodom konechnogo elementa [Analysis of Bending Plates Using Finite Element Method]. Trudy MARKHI [Works of Moscow Institute of Architecture]. 1972, no. 4, pp. 25—31.
  12. Gabbasov R.F. Raschet plit s ispol'zovaniem raznostnykh uravneniy metoda posledovatel'nykh approksimatsiy [Analysis of Plates Using the Differential Equations Method of Successive Approximation]. Stroitel'naya mekhanika i raschet sooruzheniy [Structural Mechanics and Calculation of Structures]. 1980, no. 3, pp. 27—30.
  13. Gabbasov R.F., Gabbasov A.R., Filatov V.V. Chislennoe postroenie razryvnykh resheniy zadach stroitel'noy mekhaniki [Numerical Construction of Discontinuous Solutions of Structural Mechanics Problems]. Moscow, ASV Publ., 2008, 277 p.
  14. Gabbasov R.F., Nizomov D.N. Chislennoe reshenie nekotorykh dinamicheskikh zadach stroitel'noy mekhaniki [Numerical Calculation 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.
  15. Azarkhin A.M., Abovskiy N.P. Ob iteratsionnykh metodakh v nekotorykh zadachakh stroitel'noy mekhaniki [Iterative Methods in Some Problems of Construction Mechanics]. Issledovaniya po teorii sooruzheniy [Studies in the Theory of Structures]. Vol. 23, Moscow, Stroyizdat Publ., 1977, pp. 152—157.
  16. Abovskiy N.P., Endzhievskiy L.V. Raschet rebristykh plit metodom setok [Calculation of Ribbed Slabs by Grid Method]. Prostranstvennye konstruktsii v Krasnoyarskom krae [Space Structures in Krasnodar Region]. Krasnoyarsk, 1996, no. 2, pp. 168—187.
  17. Dlugach M.I. Nekotorye voprosy primeneniya metoda setok k raschetu plastin i obolochek [Some Questions of Net Method Application in the Calculation of Plates and Shells]. ETsVM v stroitel'noy mekhanike [Digital computer in the construction mechanics]. Moscow, Gosstroyizdat Publ., 1966, pp. 555—560.
  18. Rabinovich I.M., Sinitsyn A.P., Terenin B.M. Raschet sooruzheniy na deystvie kratkovremennykh i mgnovennykh sil [Calculation of Structures for Short-term and Instant Strength Impact]. Part 1, Moscow, VIA Publ., 1956, 464 p.
  19. Rabinovich I.M. Osnovy dinamicheskogo rascheta sooruzheniy na deystvie mgnovennykh i kratkovremennykh sil [Fundamentals of Dynamic Analysis of Structures on an Instantaneous and Short-term Forces]. Moscow. Gosstroyizdat Publ., 1945, 85 p.
  20. Prager W., Synge J.L. Approximations in Elasticity Based on the Concept of Function Space. Quart. Appl. Math. 1947, vol. 5, no. 3, pp. 241—269.

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ON CALCULATION OF BEAMS RESTING ON TWO-PARAMETER ELASTIC FOUNDATIONS

Vestnik MGSU 2/2012
  • Gabbasov Radek Fatyhovich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor, Department of Structural Mechanics 8 (495) 287-49-14 ext. 3141, Moscow State University of Civil Engineering (MSUCE), Office 405, 26 Jaroslavskoe shosse, Moscow, 129337, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Uvarova Natal'ja Borisovna - Moscow State University of Civil Engineering (MSUCE) Candidate of Technical Sciences, Professor, Department of Structural Mechanics 8 (495) 287-49-14 ext. 3141, Moscow State University of Civil Engineering (MSUCE), Office 405, 26 Jaroslavskoe shosse, Moscow, 129337, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Filatov Vladimir Vladimirovich - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Associate Professor, Department of Structural Mechanics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 25 - 29

The numerical algorithm of calculation of beams resting on the two-parameter elastic foundation according to the model developed by V.Z. Vlasov and N.N. Leont'yev is considered in the proposed paper. The difference form of SUPROX method (Successive Approximations Method) is applied to generate the numerical algorithm. The following beam was calculated to test the proposed calculation algorithm: с1=1/2; С2=1/3;g=0; Δmj=1; =1. Comparison of the result of the analytical solution with the proposed one has proven the high accuracy of the latter. Another example
represents the calculation of a short beam featuring a span and resting on the two-parameter foundation.

DOI: 10.22227/1997-0935.2012.2.25 - 29

References
  1. Gabbasov R.F., Gabbasov A.R., Filatov V.V. Chislennoe postroenie reshenij razryvnyh zadach stroitel'noj mehaniki [Numerical Solutions of Discontinuity Problems of Structural Mechanics]. Moscow, ASV, 2008, 280 p.
  2. Filatov V.V. O raschete sostavnyh balok na uprugom osnovanii s dvumja kojefficientami posteli [On Calculation of Composite Beams Resting on Elastic Foundations with Two-Parameter Elastic Foundations]. Stroitel'naja mehanika inzhenernyh konstrukcij i sooruzhenij, 2010, Issue # 3, pp. 38—40.
  3. Leont'ev N.N., Leont'ev A.N., Sobolev D.N., Anohin N.N. Osnovy teorii balok i plit na deformiruemom osnovanii [Basics of Theory of Beams and Slabs Resting on Deformed Foundations]. Moscow, MISI, 1982, 119 p.

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AUTOMATED TECHNOLOGY FOR CURRENT MAINTENANCE OF RAILWAY TRACK

Vestnik MGSU 3/2016
  • Sychev Vyacheslav Petrovich - Moscow State University of Railway Engineering (MIIT) Doctor of Technical Sciences, Professor, Department of Transport Construction, Moscow State University of Railway Engineering (MIIT), 22/2 Chasovaya str., Moscow, 125993, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vinogradov Valentin Vasil’evich - Moscow State University of Railway Engineering (MIIT) Doctor of Technical Sciences, Professor, First Vice-Rector - vice-rector for academic affairs, Moscow State University of Railway Engineering (MIIT), 22/2 Chasovaya str., Moscow, 125993, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Bykov Yuriy Aleksandrovich - Moscow State University of Railway Engineering (MIIT) Doctor of Technical Sciences, Professor, Department of Railway and Track Economy, Moscow State University of Railway Engineering (MIIT), 22/2 Chasovaya str., Moscow, 125993, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Kovalenko Nikolay Ivanovich - Moscow State University of Railway Engineering (MIIT) Doctor of Technical Sciences, Professor, Department of Railway Design and Construction, Moscow State University of Railway Engineering (MIIT), 22/2 Chasovaya str., Moscow, 125993, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 68-78

In this paper the authors consider the possibility and provide specific solutions to create the automated system of track maintenance on the example of automation of technological operations to restore the equal elasticity of the undersleeper foundation. The relevance of the work stems from the fact that the modern and perspective requirements to the track maintenance in the conditions of the transition to high-speed, high-speed, high-tonnage traffic can be implemented only by switching to a new system of track maintenance based on the performance of work of specialized high-performance machines and on the new system with maximum opportunity for automation technology. More than half of the volume of works on the current maintenance of the tracks are the works on the removal of splashes, straightening and tamping of track, the technology of which can be divided into two components: calculation-evaluation and the generation of control actions on the railway track. Track machines are used extensively at the local bearing places of the occurrence of splashes on track sections or for continuous bearing plot ways to restore the equal elasticity of the undersleeper base and reduce the degree of non-uniformity deviations in rails’ position on level and in plan, as well as track subsidence. The bunker for filling the ballast may be mounted on additional frame or on offset brackets of the machine. The device for measuring the position of a railway track includes the means for measuring the deflections of the road, bending rise the track in the longitudinal profile and the position of the track on level (elevation of one rail in relation to another) and the adjacent block determining the actual position of a railway track in plan, in longitudinal profile and on level. The block of determining the amount of ballast consists of interconnected devices for determining the value of shifts and raise of the track and the block of comparing the track raise values with determining the amount necessary for filling of ballast. A device for determining the magnitudes of the shifts and the track raise consists of the interconnected unit for comparing the actual position of the track with a given (estimated) position of the track and a block determining the values of the track shifts and raise, which also provides the conversion of the recorded deflections of the track in the longitudinal profile in the track subsidence. The block comparing the track raise values with determining the amount necessary for filling the ballast, compares the magnitude of the track raise, determines changes in the transverse area of a prism in case of track raise and determines the amount needed for ballast filling. It also controls the control unit of the device for filling the ballast. The authors developed and tested the schemes of using the elements of technological processes automation during the operation of hopper dispenser with the track surfacing, which will allow reducing the duration of track possessions and will speed up the track maintenance.

DOI: 10.22227/1997-0935.2016.3.68-78

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