轴向复合载荷作用下变截面悬臂弹性立柱后屈曲分析

吴莹; 李世荣; 滕兆春

轴向复合载荷作用下变截面悬臂弹性立柱后屈曲分析

兰州理工大学理学院, 兰州 730050

基金项目: 科技部基础研究重大项目前期预研专项基金资助项目(2001CCA04300)

详细信息

作者简介:
吴莹(1967- ),女,安徽灵壁人,副教授(E-mail:wying36@163.com).

中图分类号: O343
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- 被引次数: 0
出版历程
- 收稿日期: 2001-06-28
- 修回日期: 2003-05-28
- 刊出日期: 2003-09-15

Post-Buckling of a Cantilever Rod with Variable Cross-Sections Under Combined Load

School of Sciences, Lanzhou University of Technology, Lanzhou 730050, P.R.China

摘要

摘要: 基于轴线可伸长弹性杆的几何非线性理论,建立了同时作用端部轴向集中荷载和沿轴线作用分布轴向载荷的变截面弹性悬臂柱的后屈曲控制方程。采用打靶法直接求解了所得强非线性边值问题,给出了截面线性变化的圆截面柱的二次平衡路径及其过屈曲位形曲线。
- 变截面柱 /
- 复合载荷 /
- 轴线伸长 /
- 过屈曲 /
- 打靶法
Abstract: Based on the geometrically non-linear theory of axially extensible elastic rods, the governing equations of post-buckling of a clamped-free rod with variable cross-sections, subjected to a combined load, a concentrated axial load P at the free end and a non-uniformly distributed axial load q,are established. By using shooting method, the strong nonlinear boundary value problems are numerically solved. The secondary equilibrium paths and the post-buckling configurations of the rod with linearly varied cross-sections are presented.
- rod with variable cross-section /
- axial extensibility /
- post-buckling /
- shooting method /
- numerical solution

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参考文献(17)

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