开孔薄板的变分原理及屈曲和过屈曲分析的有限元方法

VARIATIONAL PRINCIPLES OF PERFORATED THIN PLATES AND THE FINITE ELEMENT METHOD FOR BUCKLING AND POST-BUCKLING ANALYSIS

摘要

摘要:本文以开孔薄板大挠度问题的一般理论为基础,建立了以挠度 w 和应力函数F为未知量的变分原理,并由此建立了用于分析开孔薄板屈曲和过屈曲问题的有限单元法可以看到由于区域的多连通性,单元性质是较为复杂的。

Abstract:On the basis of the general theory of perforated thin plates with large deflections, the variational principles in terms of deflection w and stress function F are established. And from these principles the finite element method analysing the buckling and post-buckling of perforated thin plates is established. It can be seen that the porperty of element is more complex due to the multiple connectedness of the region.