Skip to main content
SpringerLink
Log in

Perturbation analysis for the postbuckling of rectangular orthotropic plates

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

Abstract

In this paper, applying perturbation method to von Kármán-type nonlinear large deflection equations of orthotropic plates by taking deflection as perturbation parameter, thé postbuckling behavior of simply supported rectangular orthotropic plates under inplane compression is investigated. Two types of in-plane boundary conditions are now considered and the effects of initial imperfections are also studied. Numerical results are presented for various cases of orthotropic composite plates having different elastic properties. It is found that the results obtained are in good agreement with those of experiments.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Yusuff, S., Large deflection theory for orthotropic rectangular plates subjected to edge compression,J. Appl. Mech.,19 (1952), 446–450.

    Google Scholar 

  2. Prabhakara, M.K. and C.Y. Chia, Post-buckling behavior rectangular orthotropic plates,J. Mech. Eng. Sci.,15 (1973), 25–33.

    Google Scholar 

  3. Chan, D.P., An analytical study of the postbuckling of laminated, anisotropic plates, Ph.D.Thesis, Case Western Reserve University (1970).

  4. Chandra, R. and B.B. Raju, Postbuckling analysis of rectangular orthotropic plates,Int. J. Mech. Sci.,15 (1973), 81–97

    Article  Google Scholar 

  5. Stein, M., Loads and deformations of buckled rectangular plates, NASA TR R-40 (1959).

  6. Bank, W.M., The postbuckling behavior of composite panels,Proc. 1975 Int. Conf. on Composite Materials, ICCM,2 (1976), 272–293.

    Google Scholar 

  7. Bank, W.M., J.M. Harvey and J. Rhodes, The nonlinear behavior of composite panels with alternative membrane boundary conditions on the unloaded edges,Proc. 2nd Int. Conf. on Composite Materials (1978), 316–336.

  8. Bank, W.M., Experimental study of the nonlinear behavior of composite panels,Advances in Compusite Materials, ICCM/3,1 (1980), 372–386.

    Google Scholar 

  9. Shen Hui-shen and Zhang Jian-wu, Perturbation analyses for the postbuckling of simple supported rectangular plates under uniaxial compression,Applied Mathematics and Mechanics,9, 8 (1988), 793–804.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shanghai Jiaotong University, Shanghai

    Shen Hui-shen

Authors
  1. Shen Hui-shen
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Chien Wei-zang

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hui-shen, S. Perturbation analysis for the postbuckling of rectangular orthotropic plates. Appl Math Mech 10, 373–384 (1989). https://doi.org/10.1007/BF02017778

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02017778

Keywords

Search

Navigation