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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 random material parameters and random geometric parameters of the bending beam can be combined into a random parameter - bending stiffness. Based on the variational principle of displacement mean and covariance function, the finite element method of static bending beam with random stiffness is deduced from the basic equations. This method no longer uses perturbation technique and can directly establish the mean and covariance functions of displacement.