摘要
本文以Thompson一般稳定性理论为基础,提出非完善结构(有初始几何缺陷)屈曲平衡路径分析的有限元增量摄动法,它克服了增量迭代法及摄动法各自的缺点,利用增量摄动法,还建立了非完善板屈曲平衡路径的数学分析模型,对非完善矩形板在各种边界条件下的屈曲路径实现了数值程序分析,得到了符合实验的结果。
In this paper an asymptotic method based on Thompson's theory combined with the incremental approach is presented to analyse the linear or nonlinear prebuckling state and the postbuckling state of elastic structures. This method avoids the defects when the two methods, pertubation and incremental iteration are used separately.With this method,we have put forward a general analytical procedure for imperfect systems. The rectangular plates with different boundary conditions and loading cases are carefully studied as applications of this method.
出处
《应用力学学报》
CAS
CSCD
北大核心
1991年第1期33-39,129,共7页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
关键词
非完善板
屈曲
摄动法
有限元法
imper fect plate, buckling path, pertubation method, finite element method.
