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弹性梁非线性热屈曲行为与辛本征解展开方法

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Indexed by:期刊论文

Date of Publication:2011-01-15

Journal:大连理工大学学报

Included Journals:EI、PKU、ISTIC、CSCD、Scopus

Volume:51

Issue:1

Page Number:1-6

ISSN No.:1000-8608

Key Words:Hamilton体系;弹性梁;热屈曲;大变形

Abstract:基于Hamilton体系,研究了弹性梁在温度荷载下发生的前屈曲和后屈曲问题.在辛空间中,前屈曲问题和后屈曲问题分别归结于系统的零本征值问题和非零本征值问题,而结构屈曲的临界温度和屈曲模态对应Hamilton体系的广义本征值和本征解.采用辛本征解展开方法对非线性大变形的后屈曲问题进行了深入探讨,揭示了从前屈曲到后屈曲变化的整个过程.结果发现梁在屈曲变形过程中向一个特殊的模式过渡,并最终发展为梁在某一平衡位置作周期振荡.

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