摘要
建立了直接扰动法进行薄膜褶皱的数值分析,在分析的过程中适时的去除所施加的扰动,以分析薄膜后屈曲模式的缺陷敏感性。分析表明,去除初始缺陷的情况下,薄膜的后屈曲过程褶皱构形相对稳定,褶皱的数量没有发生变化,只是随着剪切距离的增加其褶皱的幅度增大,屈曲平衡路径为稳定的分岔失稳;在没有去除初始缺陷的情况下,薄膜的后屈曲过程褶皱构形不稳定,产生了屈曲模态的跳跃,出现了新的褶皱,其后屈曲平衡路径也变得更加复杂。说明薄膜的后屈曲模式对所施加的初始缺陷较为敏感,缺陷会影响到薄膜的屈曲模式及平衡路径。实验分析与直接扰动法得到的褶皱模式符合的较为理想,验证了所建立的直接扰动法的正确性。
Directly disturbing method was established in this paper for numerical analysis of membrane wrinkles. The disturbance applied was timely removed during analysis to analyze the flaw sensitivity of membrane post-buckling patterns. Results show that wrinkling patterns present relative stability and fixed number of wrinkles without initial flaw in the process of membrane post-buckling. The wrinkling amplitude increases with the increase of shear displacement and the buckling balance path shows stable bifurcation buckling. However, membrane wrinkling patterns will be unstable and new wrinkles will be generated during post-buckling with the combination of more complicated post-buckling balance path if initial flaw is not removed, which indicates that membrane post-buckling patterns are sensitive with the initial flaw applied and the flaw will affect the membrane buckling patterns as well as the balance path. Wrinkling patterns from both experimental results and directly disturbing method were ideally coincident which verified the directly disturbing method.
出处
《工程力学》
EI
CSCD
北大核心
2010年第8期94-99,共6页
Engineering Mechanics
关键词
薄膜
褶皱
屈曲
初始缺陷
直接扰动法
membrane
wrinkle
buckling
initial imperfection
directly disturbing method