摘要
本文从Kármán板大挠度方程出发,先用Galerkin法将横向载荷作用转化为初挠度影响,然后以挠度为摄动参数,采用直接摄动法研究简支矩形板在横向载荷与面内压缩共同作用下的后屈曲性态.本文讨论了两种面内边界条件,同时计及板初始几何缺陷的影响。计算结果与实验结果的比较表明二者是一致的.
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 post-buckling behavior of 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.
出处
《应用数学和力学》
CSCD
北大核心
1989年第1期51-58,共8页
Applied Mathematics and Mechanics
