Abstract
In this paper, problems of bending of a thin plate under the action of in-plane forces are studied by using the method of multiple scales.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Alzheimer, W. E. and Davis, R. T., Unsymmetrical bending of prestressed annular plates, J. Eng. Mech. Div. Proc. ASCE, 4, (1968), 905–917.
Nayfeh, A. H., Perturbation Methods, John Wiley & Sons, New York, London, Sydney, Toronto, (1973).
Jiang Fu-ru, Some applications of perturbation method in thin plate bending problems, Appl. Math. and Mech., 1, 1, (1980), 37–53.
Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells, 2nd ed., MeGraw-Hill, New York, (1959).
Besjes, J. G., Singular perturbation problems for linear elliptic differential operators of arbitrary order, J. Math. and Appl., 49, (1975), 24–46.
Author information
Authors and Affiliations
Additional information
Communicated by Jiang Fu-ru.
Rights and permissions
About this article
Cite this article
Jia-qi, M., Bing-guo, S. Perturbation method for thin plate bending problems. Appl Math Mech 2, 567–574 (1981). https://doi.org/10.1007/BF01895459
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01895459