摘要
双参数弹性地基上圆板的非线性稳定问题在本文中得到了研究，控制方程为Ｋａｒｍａｎ型大挠度方程，试函数由Ｈｅｒｍｉｔｅｒ多项式构成，方法采用Ｇａｌｅｒｋｉｎ加权残数法，边界条件为周边转动弹性约束，并给出了一些数值结果。
Problems of nonlinear stability of circular plates on the elastic foundation has beeninvestigated. The basic control equation is Karman's large deflection equation andmethod is Galerkin's one. It is shown that taking Hermiter's polynomials as a trial deflection function is very good.
关键词
弹性地基
圆板
非线性
稳定性
elastic foundations, non-linear stability/circular plates, Hermiter'spolynomials
