基于完全概率的随机桁架结构动力响应分析

提出了一种求解随机桁架结构在随机荷载作用下动力响应概率密度函数的方法.通过对随机参数桁架结构的有限元分析,获得了结构的质量阵与刚度阵,利用振型迭加法导出了结构的物理参数、几何参数、外荷载幅值及频率同时具有随机性时,结构动力响应随机变量的表达式,应用随机向量函数的概率分布函数表达式,通过逐步求解的策略,获得结构动力响应的概率密度函数.算例结果与Monte-Carlo模拟法结果比较表明,该方法具有较高的精度及效率.

Dynamic response analysis for stochastic truss based on full-probability

Based on full-probability, a new method for the analysis of the probability density of the dynamic response for stochastic truss is proposed. In the research of the truss structural dynamic response analysis, the stochastic factors of the structural physical parameters, geometry dimensions and applied loads are all considered. By using the method of gradually computing, the probability density of the dynamic response for stochastic truss can be obtained. At the end, an example illustrats the correetiveness of the present method. A comparison of its results and that by Monte-Carlo method shows that the proposed method is of high accuracy and feasibility.