Skip to main content
Log in

Navier solution for the elastic equilibrium problems of anisotropic skew thin plate wite variable thickness in nonlinear theories

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

Abstract

This paper discusses the elastic equilibrium problems of anisotropic skew thin plate of variable thickness simply supported on all four sides in nonlinear theories, and uses the Navier method to seek an approach to the problem, and to illustrate the solution with the examples. In conclusion, the mention is made of the scope of application and the convergency of the solution.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Prabhakara, M. K. and C. Y. Chia, Postbuckling of angle-ply and anisotropic plates,Ingenieur-Archiv,45 (1976), 131–140.

    Google Scholar 

  2. Prabhakara, M. K. and C. Y. Chia, Nonlinear bending of symmetrically laminated and homogeneous anisotropic plates,Rozprawy Lnzynierskie,25 (1977), 559–570.

    Google Scholar 

  3. Kennedy, J. B. and S. Ng, Linear and nonlinear analyses of skewed plates,ASME Journal of Applied Mechanics,34 (1967), 271–277.

    Google Scholar 

  4. Yeh Kai-yuan, The universal solutions for some nonuniform elastic mechanics problems with variable thickness,Journal of Lanzhou University (Natural Sciences, Special Edition of Mechanics), 1 (1979). (in Chinese)

  5. Timoshenko, S. and S. Woinowsky-Krieger,Theory of Plates and Shells, second edition, McGrow-Hill Book Comp. Inc. (1959).

  6. Yin Si-ming and Ruan Sheng-huang, Navier solution for the elastic equilibrum problems of rectangular thin plates with variable thickness in linear and nonlinear theories,Applied Mathematics and Mechanics,6, 6 (1985), 545–558.

    Google Scholar 

  7. Chia, C. Y. and M. Sathtamoorthy, Nonlinear vibration of anisotropic skew plates,Fibre Science and Technology,13 (1980), 81–95.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Yeh Kai-yuan

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qing-qing, Z. Navier solution for the elastic equilibrium problems of anisotropic skew thin plate wite variable thickness in nonlinear theories. Appl Math Mech 12, 373–382 (1991). https://doi.org/10.1007/BF02020400

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02020400

Key words

Navigation