稳定分析中极值点失稳与分枝点失稳的跟踪策略及程序实现  

A STUDY ON TRACING TECHNIQUES FOR EQUILIBRIUM PATHSOF LIMIT POINT TYPES AND BIFURCATION POINT TYPES INNONLINEAR STABILITY ANALYSIS

作　　者：李元齐[1] 沈祖炎[1] 

机构地区：[1]同济大学土木工程学院

出　　处：《土木工程学报》1998年第3期65-71,共7页China Civil Engineering Journal

基　　金：高校博士学科点专项科研基金资助项目

摘　　要：对结构的平衡路径进行跟踪分析,是全面了解该结构的受力性能所必须进行的一项工作.目前的结构非线性稳定分析技术大多对极值点失稳型问题较为有效,但对分枝点失稳型问题则困难较多.本文就结构分析中这两种常见的失稳形式进行了比较分析,并就其跟踪策略进行了探讨,提出采用位移扰动法和力扰动法有选择地跟踪实际所关心的平衡路径.最后编制程序并对一K6-4型单层穹顶网壳进行了分析验证.It is very important to trace the complete load-deflection path in order to know comprehensively the characteristics of a sturcture subjected to loads. Unfortunately, the achieved nonlinear analysis techniques are only workable for tracing the equilibrium path of limit point types. For the equilibrium path of bifurcation point types, most of the techniques can not lead to a satisfactory result. In this paper, the displacement perturbation method and the force perturbation method are presented as the improved tracing techniques for tracing the bifurcation path. Finally, a single-layer reticulated dome shell is analyzed as an example to verify the ideas.

关 键 词：极值点 分枝点 穹顶网壳 程序 结构稳定分析 

分 类 号：TU311.2[建筑科学—结构工程] TU33