摘要
以Ｌｅｇｅｎｄｒｅ多项式为试函数，基于Ｋａｒｍａｎ型大挠度方程用加权残数法对横向和中面荷载联合作用下的圆板非线性弯曲、稳定、振动进行了分析，材料考虑了圆柱正交异性，边界为周边转动弹性约束。一些算例与有关文献结果符合良好。有关结论可供设计圆板时参考。
Nonlinear analysis of cylindrically orthotropic circular plates under combined transverse and in-plane loads is investagted. The method of weighted residuals is used with Iegendre's multinomial expansion as a trial function. Boundary condition is eastic restrained against rotation. Special examples are compared with the references and results are in good agreement. Some conclusions are of help in design of circular plates.
关键词
非线性
组合载荷
加权残数法
圆板
non-linear, combined loads, weighted residual method/circular plates,legendre's multinomial expansion
