Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (2): 133-140.

• 论文 • 上一篇    下一篇

ANALYSIS OF THERMAL POST-BUCKLING OF HEATED ELASTIC RODS

李世荣1, 程昌钧2,3   

  1. 1. Department of Basic Science, Gansu University of Technology, Lanzhou 730050, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
    3. Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • 收稿日期:1998-12-29 修回日期:1999-08-12 出版日期:2000-02-18 发布日期:2000-02-18
  • 基金资助:
    the Foundation of the Department of Education,Ministry of Machine Building

ANALYSIS OF THERMAL POST-BUCKLING OF HEATED ELASTIC RODS

Li Shirong1, Cheng Changjun2,3   

  1. 1. Department of Basic Science, Gansu University of Technology, Lanzhou 730050, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
    3. Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China
  • Received:1998-12-29 Revised:1999-08-12 Online:2000-02-18 Published:2000-02-18
  • Supported by:
    the Foundation of the Department of Education,Ministry of Machine Building

PDF

438

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 arc 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 non-linearity. 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.

关键词: elastic straight rod, thermal post-buckling, nonlinear mathematical model, shooting method, numerical solution

Abstract: 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 arc 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 non-linearity. 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.

Key words: elastic straight rod, thermal post-buckling, nonlinear mathematical model, shooting method, numerical solution

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn