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The unsymmetrical bending of cantilever rectangular plates

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Abstract

This paper discusses the problems of the unsymmetrical bending of cantilever rectangular plates under various loads by the energy method. We illustrate numerous calculating examples such as the plates which are subjected by the concentrated forces or concentrated couples unsymmetrically on free sides and corner points and by a uniformly or nonuniformly distributed loads unsymmetrically on free edges and so forth.

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References

  1. Kantonovitch, L.V.,Information of Academy of Sciences of USSR, 5 (1933). (in Russian)

  2. Kantorovitch, L.V., and V.I. Kryloff,Approximate Methods of Higher Analyses, Gostechizdat, (1941), (in Russian)

  3. MacGregor, C.W.,Mech. Eng.,57 (1935), 225.

    Google Scholar 

  4. Holl, D.L.,J. Appl. Mech.,4 (1937), 8.

    Google Scholar 

  5. Jaramillo, T.J.,J. Appl. Mech.,17 (1950), 67.

    MATH  MathSciNet  Google Scholar 

  6. Nash, W.A.,J. Appl. Mech.,19 (1952), 33.

    Google Scholar 

  7. Jung, H.,Math. Information,6 (1952), 343. (in German)

    MATH  Google Scholar 

  8. Girkmann, K.,Plane Carrying Structures, Forth Edition, Vienna, (1956), 233. (in German)

  9. Shu De-jian and Shi Zhen-dong, On general variational principles in thin plates with their applications,Journal of Beijing Aeronautic Institute, 1 (1957). (in Chinese)

  10. Koiter, W.T. and J.B. Alblas,Journal of the Netherlands Royal Academy of Sciences, Amsterdam,60 (1957), 173.

    MATH  MathSciNet  Google Scholar 

  11. Chang Fo-van,Elastic Thin Plates, Science Publ. House, Sec. Edit. (1984). (in Chinese)

  12. Plass, H.J., J.H. Games Jr. and C.D. Newson,J. Appl. Mech.,29 (1962).

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

    Google Scholar 

  14. Ritz, W.,J. Pure and Appl. Mathe.,135 (1908) 1–61. (in German).

    MATH  Google Scholar 

  15. Timoshenko, S. and S. Woinowsky-Krieger,Theory of Plates and Shells, Sec. Edit. (1959).

  16. Chien Wei-zang,Calculus of Variation and the Finite Element Method, Vol. I, Science Publ. House, (1980). (in Chinese)

  17. Lechnitsky, S.G.,Anisotropic Plates, Gostechizdat, M., (1957). (in Russian)

    Google Scholar 

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Authors and Affiliations

  1. Tongji University, Shanghai

    Cheng Xiang-sheng

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  1. Cheng Xiang-sheng
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Xiang-sheng, C. The unsymmetrical bending of cantilever rectangular plates. Appl Math Mech 8, 1091–1098 (1987). https://doi.org/10.1007/BF02482694

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  • DOI: https://doi.org/10.1007/BF02482694

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