Skip to main content
Log in

Secondary buckled states of rectangular sandwich plates

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

In this paper, for a rectangular sandwich plate with edges simply supported and subjected to a constant compressive thrust λ along two opposite edges; the secondary bifurcation points and the secondary buckled states that bifurcate from the primary buckled states are determined by a perturbation method. These results are useful for their numerical calculation and can be used to explain the phenomenon of “mode-jumping”.

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. Cheo L. S. and Reiss, E. L., Secondary buckling of circular plates.SIAM J. Appl. Math., 26 (1974), 490–495.

    Article  MATH  Google Scholar 

  2. Stroebel, G. J. and Wamer, W. H., Stability and secondary bifurcation for von Karman plates.J. Elasticity, 3 (1973), 185–202.

    Article  Google Scholar 

  3. Uemura, M. and Byon, O., Secondary buckling of a flat plate under uniaxial compression, Part 1: Theoretical analysis of a simply supported flat plate,Int. J. Norrlinear Mech., 12 (1977).

  4. Nakamura, T. and Uetani, K., The secondary buckling and post-secondary buckling behaviors of rectangular plates,Int. J. Mech. Sci., 21 (1979).

  5. Matkowsky, B. J., Putnick, L. J., and Reiss, E. L., Secondary states of rectangular plates.SIAM J. Appl. Math., 38 (1980), 38–51.

    Article  MATH  MathSciNet  Google Scholar 

  6. Carnoy, E. G. and Hughes, T. J. R., Finite element analysis of the secondary buckling of a flat plate under uniaxial compression,Int. J. Non-linear Mech., 18 (1983).

  7. Zhang Jianwu and Fan Zuyao, Analysis of secondary buckling and secondary bifurcation points subjected to simply supported rectangular plates under thrust,J. Appl. Mech. (China),3, 3 (1986), 1–23.

    Google Scholar 

  8. Bauer, L., Keller, H. B. and Reiss, E. L., Multiple eigenvalues lead to secondary bifurcationSIAM Rev., 17 (1975), 101–122.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project Supported by National Natural Science Foundation of China.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Luwu, H., Changjun, C. Secondary buckled states of rectangular sandwich plates. Acta Mech Sinica 6, 237–247 (1990). https://doi.org/10.1007/BF02487646

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02487646

Key Words

Navigation