弯曲梁随机刚度有限元法

Finite element method of the bending beam with stochastic rigidity

弯曲梁的随机材料参数和随机几何参数可结合为一个随机参数——弯曲刚度。以位移的均值和协方差函数的变分原理为基础 ,根据基本方程推导出具有随机刚度的静定弯曲梁的有限元法。这种方法不再采用摄动技术 ,可直接建立位移的均值和协方差函数。

The stochastic material parameter of bending beam can be integrated with its stochastic geometrical parameter into one stochastic parameter. It was defined flexural rigidity. Based on variational principle for mean value and covariance function of displacement, a finite element method for statically determined bending beam with stochastic rigidity was setted up. It no longer relies on perturbation technique and is directly established.