APPLICATION OF GENERALIZED EQUATIONS OF THE FINITE DIFFERENCE METHOD AS PART OF THE ANALYSIS OF SLABS RESTING ON ELASTIC FOUNDATIONS

Vestnik MGSU 4/2012
  • Gabbasov Radek Fatykhovich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, Construction and Theoretical Mechanics Departmenе, Moscow State University of Civil Engineering (National Research University) (MGSU), .
  • Uvarova Nataliya Borisovna - Moscow State University of Civil Engineering (MSUCE) Candidate of Technical Sciences, Professor, Department of Structural Mechanics, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 102 - 107

Generalized equations of the finite difference method are used to analyze bended slabs resting on elastic foundations. The algorithm makes it possible to take account of the finite discontinuity of the function, its first derivative and the right part of the differential equation without getting any points outside of the contour or a fine grid involved in the analysis. The examples have proven the high accuracy of the proposed analysis that employs a coarse grid and a simple algorithm.
It is noteworthy that the algorithm of the analysis is developed with a view to the employment of computer-aided methods and with due account for a substantial number of subsettings. The examples provided in the article are solely designated to illustrate the operation of the proposed algorithm. They demonstrate that even if the number of subsettings is minimal, generalized equations of the method of finite differences are capable of generating the results that make it possible to assess the stress-strained state of a slab.

DOI: 10.22227/1997-0935.2012.4.102 - 107

References
  1. Gabbasov R.F., Mussa Sali. Obobshchennye uravneniya metoda konechnykh raznostey i ikh primenenie k raschetu izgibaemykh plastin peremennoy zhestkosti [Generalized Equations of the Method of Finite Differences and Their Application to Analysis of Bent Slabs of Variable Rigidity]. Izvestiya VUZov, Stroitel'stvo [News of Higher Education Institutions. Construction]. 2004, no. 5, pp. 17—22.
  2. Timoshenko S.P., Voynovskiy-Kriger S. Plastinki i obolochki [Plates and Envelopes]. Moscow, Nauka Publ., 1966
  3. Gabbasov R.F., Gabbasov A.R., Filatov V.V. Chislennoe postroenie razryvnykh resheniy zadach stroitel'noy mekhaniki [Numerical Structure of Discontinuous Solutions of Problems of Structural Mechanics]. Moscow, ASV Publ., 2008, 277 p.

Download

Results 1 - 1 of 1