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Applied Mathematics and Mechanics

, Volume 8, Issue 9, pp 797–813 | Cite as

Nonlinear analyses for the postbuckling behaviors of annular and circular thin plates

  • Jiang Fu-ru
Article

Abstract

In this paper we apply the modified method of multiple scales to study the postbuckling behaviors of annular and circular thin plates. The asymptotic solutions have been constructed, the ultimate loads have been determined, and the relations between the length of twisted waves formed by buckling and the flexural rigidity of plates have been discovered.

Keywords

Mathematical Modeling Industrial Mathematic Thin Plate Nonlinear Analysis Multiple Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Qin Sheng-li, Zhang Ai-shu, On the problems of buckling of an annular thin plate,Applied Math. and Mech.,6, 1 (1985), 169–183.Google Scholar
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    Jing Fu-ru, Some applications of perturbation method in thin plate bending problems,Applied Math. and Mech.,1, 1 (1980), 37–53.Google Scholar
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    Jiang Fu-ru, Unsymmetrical bending of annular and circular thin plates under various supports (I),Applied Math. and Mech.,3, 5 (1982), 683–695.Google Scholar
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    Jiang Fu-ru, Unsymmetrical bending of annular and circular thin plates under various supports (II),Applied Math. and Mech.,5, 2 (1984), 1173–1184.Google Scholar

Copyright information

© Shanghai University of Technology 1987

Authors and Affiliations

  • Jiang Fu-ru
    • 1
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai

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