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ELASTIC INSTABILITY OF AN ORTHOTROPIC ELLIPTIC PLATE*

宁建国Cheng Chang-jun Ning Jian-guo

Applied Mathematics and Mechanics (English Edition, Vol. 12, No.4, Apr. 1991),-0001,():

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摘要/描述

On the basis of yon Karman equations and using the general bifurcation theory, the elastic instability of an orthotropic elliptic plate whose edge is subjected to a uniform plane compression is discussed. Following the well-known Liapunov-Schmidt process the existance of bifurcation solution at a simple eigenvalue is shown and the asymptotic expression is obtained by means of the perturbation expansion with a small parameter. Finally, by using the finite element method, the critical loads of the plate are computed and the post-buckling behavior is analysed. And also the effect of material and geome-tric parameters on the stability is studied.

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