板壳概率变分原理

VARIATIONAL PRINCIPLES IN PROBABILISTIC ANALYSIS OF PLATES AND SHALLOW SHELLS

本文建立了薄板、薄扁壳及考虑剪切变形板壳的概率变分原理及概率广义变分原理,它们是建立概率有限元法、概率有限条法及各种概率样条函数方法的理论基础。

In this paper, the variational principles and generalized variational principles in Probabilistic analysis of the plates and Shallow shells are established. They are theoretical basis of the Probabilistic finite element method, the probabilistic finite strip method and the spline function method.