Analysis of thermal post-buckling of heated elastic rods

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	Analysis of thermal post-buckling of heated elastic rods
	Li, SR ; Cheng, CJ
刊名	APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
	2000-02
卷号	21 期号:2 页码:133-140
关键词	elastic straight rod thermal post-buckling nonlinear mathematical model shooting method numerical solution
ISSN号	0253-4827
英文摘要	Based on the nonlinear geometric theory of extensible rods, an exact mathematical model of thermal post-buckling behavior of uniformly heated elastic rods with axially immovable ends is developed, in which the are length s(x) of axial line and the longitudinal displacement u(x) are taken as the basic unknown functions. This is a two point boundary value problem of first order ordinary differential equations with strong nonlinearity. By using shooting method and analytical continuation, the nonlinear boundary value problems are numerically solved. The thermal post-buckled states of the rods with transversely simply supported and clamped ends are obtained respectively and the corresponding numerical data tables and characteristic curves are also given.
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	SHANGHAI UNIV
WOS记录号	WOS:000087387100002
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/35951]
专题	兰州理工大学
通讯作者	Li, SR
作者单位	1.Gansu Univ Technol, Dept Basic Sci, Lanzhou 730050, Peoples R China 2.Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China 3.Shanghai Univ, Dept Mech, Shanghai 200072, Peoples R China
推荐引用方式 GB/T 7714	Li, SR,Cheng, CJ. Analysis of thermal post-buckling of heated elastic rods[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2000,21(2):133-140.
APA	Li, SR,&Cheng, CJ.(2000).Analysis of thermal post-buckling of heated elastic rods.APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,21(2),133-140.
MLA	Li, SR,et al."Analysis of thermal post-buckling of heated elastic rods".APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION 21.2(2000):133-140.