Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (1): 55-63.
沈惠申
Shen Hui-shen
摘要: Based on the nonlinear large deflection equations of von Karman plates, the lateral pressure is first converted into an initial deflection by Galerkin method, the postbuckling behavior oj simply supported rectangular plates under uniaxial compression combined with lateral pressure is then studied applying perturbation method by taking deflection as perturbation parameter.Two types of in-plane boundary conditions and the effects of initial geometric imperfection are also considered. It is found that the theoretical results are in good accordance with experiments.