力学与实践 ›› 2010, Vol. 32 ›› Issue (3): 41-43.DOI: 10.6052/1000-0879-2009-384

• 应用研究 • 上一篇    下一篇

受均布载荷压杆后屈曲形态的数值计算

李清禄 李世荣   

  1. 兰州理工大学
  • 收稿日期:2009-09-24 修回日期:2009-11-26 出版日期:2010-06-08 发布日期:2010-06-08

NUMERICAL CALCULATION OF THE POST-BUCKLING CONFIGURATION OF A COLUMN UNDER DISTRIBUTED LOAD

LI Qing-Lu LI Shirong   

  • Received:2009-09-24 Revised:2009-11-26 Online:2010-06-08 Published:2010-06-08

摘要: 对受均布载荷压杆的屈曲及后屈曲行为进行了分析. 基于杆的大变形理论,考虑杆的轴向伸长,建立了受均布载荷作用下细长压杆的几何非线性平 衡方程.采用打靶法和解析延拓法数值求解非线性两点边值问题,得到了杆的后屈曲平衡路径 和平衡构形.

关键词: 可伸长梁, 大挠度, 打靶法, 后屈曲, 平衡路径

Abstract: The buckling and post-buckling behaviors of a column under distributed load are discussed in this paper. Based on the large deformation theory and considering the axial extension of the column, the equilibrium equations with geometric nonlinearity of an elastic column subjected to distributed load are established. By using shooting method and analytical continuation, the nonlinear boundary-value problem is solved numerically. The post-bucking configuration and equilibrium paths of the column are obtained.

Key words: extensible beam, large deflection, shooting method, post-buckig, equilibrium path