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Combined longitudinal with lateral bending of rectangular plates supported at points of corners

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Abstract

This paper discusses the problems of combined longitudinal with lateral bending of rectangular plates which are supported at four points of corners by means of the variational calculus. In the text the lateral bending and the stability of thin plates are also treated respectively.

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References

  1. Galerkin, B.G.,Elastic Thin Plates, Gostechizdat., M. (1933). (in Russian)

  2. Galerkin, B.G.,Selected Works, Vol.II, Moscow (1953), 15. (in Russian)

    Google Scholar 

  3. Dimitrov, N.,Building Engineering,32 (1957), 359. (in German)

    Google Scholar 

  4. Marcus, H.,The Theory of Elastic Web. Second Edition, Berlin (1932), 173. (in German)

  5. Nadai, A.,J. Appl. Mathe. Mech.,2 (1922), 1. (in German)

    Google Scholar 

  6. Shimansky, J.A.,Bending of Plates, ONTI (1934) (in Russian)

  7. Chang Fo-van,Elastic Thin Plates, Science Publishing House, Second Edition (1984) (in Chinese)

  8. Lechnitsky, S.G.,Anisotropic Plates, Gostechnizdat., M. (1957). (in Russian)

  9. Timoshenko, S. and S. Woinowsky,Theory of Plates and Shells, Second Edition, McGrow-Hill Book Company, Inc. (1959).

  10. Timoshenko, S.,Theory of Elastic Stability, McGrow-Hill Book Company, Inc., New York (1936).

    Google Scholar 

  11. Rayleigh, J.W.S.,Theory of Sound, Macmillan and Co. Ltd., London (1877).

    Google Scholar 

  12. Ritz, W., On a new method for solution of some variational problems in mathematical physics,Jour. Pure and Appl. Mathe., 135 (1908), 1–61. (in German)

    Google Scholar 

  13. Kalmanok, A.S.,Calculations of Plates, Moscow (1959), 87. (in Russian)

  14. Chieng Wei-zang,Calculcus of Variation and the Finite Element Method, Vol. I, Science Publishing House (1980). (in Chinese)

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Communicated by Chien, Wei-zang

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Xiang-sheng, C. Combined longitudinal with lateral bending of rectangular plates supported at points of corners. Appl Math Mech 8, 459–466 (1987). https://doi.org/10.1007/BF02019632

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  • DOI: https://doi.org/10.1007/BF02019632

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