摘要
本文从Krmn型非线性基本微分方程出发,提出了将修正迭代法和伽辽金法联合应用,分析了Pasternak弹性地基上周边固定凹圆底扁球壳在均匀压力作用下的非线性弯曲问题,给出了荷载与挠度间的数学表达式,其所得结果与已有文献结果吻合较好,且简明、计算量小.
Based on Karman's nonlinear fundamental differential equations, the new approach, which combines modified iteration method with Galerkin's one, Has been put forward to solve nonlinear bending of shallow spherical shell with concave base and clamped edges on the Pasternak foundation under uniform loads in this paper. Mathematical expression of load-deflection has been given; furthermore, results obtained arc in good agreement with existent ones.
出处
《应用数学和力学》
CSCD
北大核心
1991年第5期429-434,共6页
Applied Mathematics and Mechanics
关键词
扁球壳
弹性地基
非线性
弯曲
shallow spherical, Pasternak foundation, modified iteration method, nonlinear bending, Galerkia's method
