受压矩形截面柱在塑性阶段的缺陷敏感性分析  

Imperfection Sensitivity Analysis of a Rectangular Column Compressed into the Plastic Range

作　　者：程尧舜[1] 方红[1] 卢文达[1] 

机构地区：[1]同济大学结构学院,华东工业大学机械系

出　　处：《应用数学和力学》1998年第1期9-14,共6页Applied Mathematics and Mechanics

摘　　要：对加载到塑性阶段的矩形截面柱，本文研究了几何缺陷对屈曲的影响·在分析中考虑了弹性卸载的影响·求出了荷载、缺陷大小及分叉模态幅值之间的精确渐近关系式·结果表明在塑性阶段最大承载力对小缺陷非常敏感，但当缺陷大小达到某一值后。The effect of small geometrical imperfections on the buckling of a rectangular column compressed into the plastic range is studied in this paper. In the analysis. the effect of elastic unloading is taken into account. An asymptotically exact relation is obtained among the load the amplitude of imperfections and the amplitude of the bifurcation mode. The results show that the maximum supported load is very sensitive to small imperfections, and that, however, there may not be a maximum load if the imperfection amplitude is greater than some magnitude.

关 键 词：缺陷敏感性 矩形截面柱 塑性卸载 屈曲 弹性卸载 

分 类 号：O344.1[理学—固体力学]