随机结构反应的概率密度演化分析

提出了线性随机结构静力反应的概率密度演化方法 .在随机结构反应状态方程的基础上 ,引入扩展状态向量 ,建立了随机结构静力反应的概率密度演化方程 ,提出了数值求解技术 .对于单一随机参数及多个随机参数的 8层框架结构反应进行了算例分析 ,并与单一随机参数结构随机反应的精确解答及多个随机参数结构随机反应的随机模拟分析进行了对比 ,结果表明 ,所提出的方法具有较高的计算精度及良好的实用性

Probability Density Evolution of Stochastic Structural Responses

The probability density evolution method for the analysis of linear stochastic structural static respons is proposed.Based on the state equation of the stochastic structural response,the augmented state vector is introduced and the probability density evolution equation of the stochastic structural static response is then established.Numerical solving technique is investigated.Numerical examples are studied on the response of an 8 storey frame structure with a single random parameter and multiple random parameters.Comparisons between the theoretical solutions and the numerical results by the proposed method for the structure with a single random parameter and between the results of Monte Carlo method and the proposed method for the structure with multiple random parameters show that the proposed method is accurate and feasible.