无限长预应力弹性地基梁后屈曲问题的数值解

J4 ›› 2011, Vol. 49 ›› Issue (01): 37-40.

无限长预应力弹性地基梁后屈曲问题的数值解

于永平¹, 王中强², 孙维鹏³

1. 吉林大学建设工程学院, |长春 130026； 2. 长春师范学院数学学院, 长春 130032;3. 吉林大学数学学院, 长春 130012

收稿日期:2010-04-14 出版日期:2011-01-26 发布日期:2011-02-19
通讯作者: 孙维鹏 E-mail:sunwp@jlu.edu.cn

Numerical Solution to PostBuckling of a Pre-stressed InfiniteBeam Bonded to a Linear Elastic Foundation

YU Yongping¹, WANG Zhongqiang², SUN Weipeng³

1. College of Construction Engineering, Jilin University, Changchun 130026, China;2. School of Mathematics, Changchun Normal University, Changchun 130032, China;3. College of Mathematics, Jilin University, Changchun 130012, China

Received:2010-04-14 Online:2011-01-26 Published:2011-02-19
Contact: SUN Weipeng E-mail:sunwp@jlu.edu.cn

摘要/Abstract

摘要：

基于无限长预应力弹性地基梁的积微分方程控制方程, 通过引进新变量将其扩展成微分方程组, 再利用打靶法求解该扩展系统进而得到该问题的数值解. 结果表明：后屈曲载荷与后屈曲挠度曲线都依赖于梁挠度为零点的正斜率; 而后屈曲波长不随此斜率的增加而变化.

关键词: 后屈曲；无限梁；预应力；弹性地基；打靶法

Abstract:

The nonlinear integraldeferential governing equation of a prestressed infinite beam bonded to a linear elastic foundation was first
extended by introducing a new variable and then solved by applying the shooting method. The results show that the postbuckling load and curve of deflection depend on the positive slope in position without deflection and the corresponding postbuckling wavelength does not change with the increase of the slope.

Key words: postbuckling, infinite beam, pre-stressed, elastic foundation, shooting method

中图分类号:

O343.9

于永平, 王中强, 孙维鹏. 无限长预应力弹性地基梁后屈曲问题的数值解[J]. J4, 2011, 49(01): 37-40.

XU Yong-Beng, WANG Zhong-Jiang, SUN Wei-Feng. Numerical Solution to PostBuckling of a Pre-stressed InfiniteBeam Bonded to a Linear Elastic Foundation[J]. J4, 2011, 49(01): 37-40.