Skip to main content
Log in

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

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Timoshenko, S.P. and J.M. Gere,Theory of Elastic Stability, McGraw Hill (1961).

  2. Wolimir, A.C.,Soft Plates and Shells, 4.7 (1956). (in Russian)

  3. Chia Chuan-yuan,Nonlinear Analysis of Plates, McGraw Hill (1980).

  4. 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 

  5. Jing Fu-ru, Some applications of perturbation method in thin plate bending problems,Applied Math. and Mech.,1, 1 (1980), 37–53.

    Google Scholar 

  6. 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 

  7. 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 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Projects Supported by the Sciences Fund of the Chinese Academy of Sciences

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fu-ru, J. Nonlinear analyses for the postbuckling behaviors of annular and circular thin plates. Appl Math Mech 8, 797–813 (1987). https://doi.org/10.1007/BF02019517

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02019517

Keywords

Navigation