Analysis of thermal post-buckling of heated elastic rods | |
Li, SR; Cheng, CJ | |
刊名 | APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
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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. |
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