矩形板在面内荷载作用下的非线性屈曲分析

Nonlinear Buckling Analysis of Plates Subjected to In-plane Eccentrical Loads

本文分析了具有不同面内边界条件的矩形板,面内受到常位移梯度偏心加载和常荷载偏心距加载的条件下的屈曲后性能和极限荷载.计算中同时考虑了板初曲和残余应力的影响,成功地将线性有线条理论推广应用于解决板的大挠度弹塑性稳定问题.这一方法与目前研究此类问题的其它方法相比较,在同等精度下计算工作量小得多.

This paper reports a large-deflection elastic-plastic analysis of plates subjected to in-plane loads under a prescribed displacement eccentricity and a prescribed load eccentricity, respectively. A finite strip analysis for the material and geometric nonlinearities is developed as an efficient analytic tool in nonlinear buckling analysis of plates or plate assemblies. Initial imperfections of the plate including the initial deflections and the residual stresses due to welding are taken into consideration. Numerical results show that the present finite strip analysis not only considerably saves computing time but also has a good accuracy.