Equation Decomposition Method for Analysis of Plates Made of Composite Material

  • E. B. Koreneva
  • G. I. Pshenichnov
Conference paper


The paper concerns static analysis of rectangular plates of nonuniform flexural rigidity with various boundary conditions. The effective equation decomposition method for solving of boundary value problems, suggested in the work [1], is used. By means of this method in the monograph [2] were given the approximate analytical solutions for static bending, stabi1ity, free transverse vibrations of rectangular plates of constant thickness with an elastic contour.


Arbitrary Constant Rectangular Plate Composite Plate Transverse Vibration Auxiliary Problem 
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  1. 1.
    G.I. Pshenichnov.A Decouposition Method of So1vi ng Equations and Boundary Value Proulens, Soviet Math.Dokl., 3, 31 (1988), pp.513–515.Google Scholar
  2. 2.
    G.I. Pshenichnov. A Theory of Latticed Plates and Shells, World Scientific. Singapore, New Jersey (1993).MATHCrossRefGoogle Scholar
  3. 3.
    S. Timoshenko and S. Woinowsky-Wrieyer, Theory of Plates and Shells,.Mcgraw-Hill Sook Company, New -York (1959).Google Scholar
  4. 4.
    A. A. Abramov, G. I. Pshenichnov and V. I. Ulyanova. Transver-verse Bending of a Stretched Rectangular Plate. Izv. Akad. Naux Mech. Tverd. Tela, 5 (1993), pp. 160–165 (in Russian).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • E. B. Koreneva
    • 1
  • G. I. Pshenichnov
    • 2
  1. 1.Moscow State Building UniversityMoscowRussia
  2. 2.Computer Center Russian Academy of SciencesMoscowRussia

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