关于结构弯扭屈曲理论的修正  

Modification in the Theory on Flexural-Torsional Buckling of Structures

作　　者：鄂国康[1] 

机构地区：[1]澳门大学科技学院

出　　处：《应用数学和力学》1997年第10期911-920,共10页Applied Mathematics and Mechanics

摘　　要：本文讨论和指出了目前结构弯扭屈曲理论中所存在的问题．从而得出结论：目前的理论限制了结构的弯担变形过程，使得变形过程受制于线位移与转角位移按一定的先后顺序产生．为解决这一问题，提出了一种描述结构实际弯扭屈曲过程的新思路，从而导出了新的几何关系、建立了新的势能变分方程和新的中性平衡微分方程．实例说明了修正后的理论与原理论的不同．In this paper, the prbolcms existing in the present theory on fiexcural-torsional buckling of structures are discussed, and the buckling procedure is found to be restricted to certian development order of displacements and rotations by the present theory. A fresh idea is , therefore, proposed for the mathematical description of actual fiexural-torsional buckling procedure of structures. New geometric equations are formulated and a set of new potential variational equation and neutral equilibrium equations are got for the fiexural-torsional buckling analysis of structures. Examples are given to detect the numerical difference between the modified theory and the present accepted theory.

关 键 词：弯扭屈曲 弯扭变形 屈曲 线位移 转角位移 

分 类 号：O343.9[理学—固体力学]