轴向复合载荷作用下变截面悬臂弹性立柱后屈曲分析  

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

作　　者：吴莹[1] 李世荣[1] 滕兆春[1] 

机构地区：[1]兰州理工大学理学院,兰州730050

出　　处：《应用数学和力学》2003年第9期984-990,共7页Applied Mathematics and Mechanics

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

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。Based on the geometrically nonlinear 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.

关 键 词：变截面柱 复合载荷 轴线伸长 过屈曲 打靶法 

分 类 号：O343[理学—固体力学]