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扁桁架结构稳定分析几何非线性临界点-欧拉理论

Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2007-09-15

Journal: 大连理工大学学报

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

Volume: 47

Issue: 5

Page Number: 629-633

ISSN: 1000-8608

Key Words: 稳定理论;扁桁架;几何非线性;临界点理论;欧拉理论

Abstract: 研究了扁桁架结构的稳定性问题,提出了中等扁度桁架稳定分析的几何非线性临界点-欧拉理论.引入杆件应变能密度为1的条件,以欧拉稳定条件为约束,在精确的变形-位移下构造了高精度的迭代方法,准确地求解了杆件截面积和内力的稳定临界解.给出了数值例题,说明了该理论的有效性,并对已有的各种稳定性分析理论进行了评述.

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