面内压缩载荷和横向载荷共同作用下薄板的后屈曲性能分析

A Researck on the Postbuckling Behavior of a Rectangular Plate under Co-planer Compression and Lateral Load

本文研究在面内压缩载荷和横向载荷同时作用下的薄板后屈曲问题。应用能量原理建立受面内压缩载荷和横向载荷共同作用时板的大挠度能量泛函,直接用最优化方法求上述能量泛函的极小值,从而得到了薄板的后屈曲平衡路径。所得结果同前人的解析解一致。文中分三种情况讨论了横向载荷对受压薄板的后屈曲性能的影响。

This paper is concerned with the postbuckling behavior of a rectangular plate subjected to co-planer compression and lateral load. By use of the energy principle, minimum potential energy for large deflection of the plate is obtained. At the same time, the optimiging results of the energy and the buckling displacement of the plate are calculated by applying the optimizing technique. The results obtained are in good agreemeet with those by the others before. The effect of lateral load on the buckling behavior of the plate under compression is discussed. Finally, an empirical formula for calculating the postbuckling behavior of a rectangular plate under compression and lateral load has been proposed.