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Equation Decomposition Method for Analysis of Plates Made of Composite Material

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Computational Mechanics ’95

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Abstract

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.

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References

  1. G.I. Pshenichnov.A Decouposition Method of So1vi ng Equations and Boundary Value Proulens, Soviet Math.Dokl., 3, 31 (1988), pp.513–515.

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  2. G.I. Pshenichnov. A Theory of Latticed Plates and Shells, World Scientific. Singapore, New Jersey (1993).

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  3. S. Timoshenko and S. Woinowsky-Wrieyer, Theory of Plates and Shells,.Mcgraw-Hill Sook Company, New -York (1959).

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  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).

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Author information

Authors and Affiliations

  1. Moscow State Building University, Moscow, Russia

    E. B. Koreneva

  2. Computer Center Russian Academy of Sciences, Moscow, Russia

    G. I. Pshenichnov

Authors
  1. E. B. Koreneva
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  2. G. I. Pshenichnov
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Editor information

Editors and Affiliations

  1. Computational Modeling Center, Georgia Institute of Technology, Atlanta, GA, 30332-0356, USA

    S. N. Atluri

  2. Department of Quantum Engineering & Systems Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113, Japan

    G. Yagawa

  3. Department of Mechanical Engineering, Vanderbilt University, P.O. Box 1592, Station B, Nashville, TN, 37235, USA

    Thomas Cruse

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© 1995 Springer-Verlag Berlin Heidelberg

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Koreneva, E.B., Pshenichnov, G.I. (1995). Equation Decomposition Method for Analysis of Plates Made of Composite Material. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_371

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_371

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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