梁刚度随机时的数值分析

Stochastic Numerical Analysis of a Beam with Random Stiffness

从梁的挠曲线方程出发，将局部平均法融于二阶差分方法中，给出了梁随机数值分析的有关公式，并改进了局部平均法对梁进行随机分析中的某些不足。为了检验局部平均法的准确程度，还给出了相应的解析解。最后通过算例，证明本文提出的方法是正确和有效的。

Starting from the deflection curve of a beam with random stiffness, the numerical expressions which join local average method and second order difference method are obtained in this paper. And some defaults in stochastic analysis for a beam are improved. The results of local average method are tested by the analytic solution. Some useful conclusions are put forward in the end.