刚度随机时梁的随机分析

ON STOCHASTIC ANALYSIS OF A BEAM WITH RANDOM STIFFNESS

本文从梁的挠曲线方程出发,给出了梁刚度随机时的解析分析公式,并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。一方面对局部平均法的准确程度给以检验,同时改进了用局部平均法对梁进行随机分析中的某些不足,为梁的随机分析提供了较为准确的数值解和解析解。

In this paper, Starting from the deflection curve of a beam with random stiffness, the analytic expressions to study the beam with random stiffness are given, in which the local average method is joined with the difference method of the second order. Authors in this paper have tested the accuracy of the local average method and improved some of the defaults in stochastic analysis for a beam.