轴心受压四边简支开孔薄板局部稳定问题的有限元分析

Finite Element Analysis of Local Stability of Simply Supported Plates with Hexagon Holes under Axial Compression

目的为验证已有试验结果的正确性,对轴心受压四边简支开孔薄板进行有限元分析.方法以试验为模拟基础,用特征值屈曲分析方法对蜂窝构件腹板的局部稳定问题进行模拟分析,通过对单向均匀受压开孔薄板的局部稳定性进行研究,分析了不同开孔率对开孔薄板弹性屈曲荷载的影响.结果开孔板会发生单波失稳和多波失稳的屈曲模态,两种失稳模态下板的弹性屈曲荷载相近,可用单孔薄板代替多孔薄板进行分析.并且开孔板的弹性屈曲荷载随着得到横向开孔率的增大而减小,变化浮动为14%～26%;随着竖向开孔率的增大而增大,变化浮动为8%～21%.结论模拟结果和试验结果吻合较好,推导出的开孔板的弹性屈曲荷载公式,可运用于六边形开孔情况的蜂窝构件的腹板局部稳定分析计算.

In order to testify that the experiment has been did is proper, we apply finite element method to analyse simply supported plates with hexagon holes. In this paper, we apply experiments on base, and we apply eigenvalue buckling analysis method to carry on the local stability analysis of the web of castellated components. Through the study on local stability analysis of the plates with holes under the axial compression, the paper analyzes different opening ratios how to influence on different elastic buckling load, The result is that there are two kinds of instability modes：single-wave instability mode and multi-wave instability mode. The elastic buckling load of the two kinds is similar, so we can analyze the plate with one hole instead of the plates with multiple holes. The elastic buckling load increases when vertical opening increases and the variation is 14 percent to 26 percent. The elastic buckling load reduces when horizontal opening increases and the variation is 8 percent to 21 percent. The simulative results agree with experimental results and we can get the elastic buckling load formula of the plates which can be used to analyse and calculate the local stability of web of castellated components opened the holes as a hexagon shpe.