关于结构弯扭屈曲理论的修正
Modification in the Theory on Flexural-Torsional Buckling of Structures
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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.Abstract: In this paper,the problems existing in the present theory on flexural-torsional buckling of structures are discussed,and the buckling procedure is found to be restricted to certain development order of doplacements and rotations by the present theory.A fresh idea is.therefore,proposedfor the mathematical description of actual flexural-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 flexural-torsional buckling analysis of structures.Examples are given to detect the numerical diffrence between the modified theory and the present accepted theory.
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Key words:
- flexural-torsional buckling /
- geometric equation /
- rotations /
- order
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