雒卫廷, 陈建军, 刘德平, 胡太彬. 基于完全概率的随机结构动力特性分析[J]. 工程力学, 2006, 23(10): 35-40.
引用本文: 雒卫廷, 陈建军, 刘德平, 胡太彬. 基于完全概率的随机结构动力特性分析[J]. 工程力学, 2006, 23(10): 35-40.
LUO Wei-ting, CHEN Jian-jun, LIU De-ping, HU Tai-bin. FULL-PROBABILITY-BASED DYNAMIC CHARACTERISTIC ANALYSIS OF STOCHASTIC STRUCTURE[J]. Engineering Mechanics, 2006, 23(10): 35-40.
Citation: LUO Wei-ting, CHEN Jian-jun, LIU De-ping, HU Tai-bin. FULL-PROBABILITY-BASED DYNAMIC CHARACTERISTIC ANALYSIS OF STOCHASTIC STRUCTURE[J]. Engineering Mechanics, 2006, 23(10): 35-40.

基于完全概率的随机结构动力特性分析

FULL-PROBABILITY-BASED DYNAMIC CHARACTERISTIC ANALYSIS OF STOCHASTIC STRUCTURE

  • 摘要: 基于加权残值法,提出了一种求解随机结构特征值概率密度函数的方法。首先利用加权残值法得到特征值关于随机结构参数构成的随机向量的函数表达式,应用随机向量函数的概率分布函数表达式,通过确定积分区间、变量替换、积分顺序变换等一系列数学上的处理,获得结构特征值的概率密度函数的完整信息。通过两算例的结果与Monte-Carlo模拟法结果相比较,表明该方法具有较高的精度和计算效率。

     

    Abstract: Based on Weighted Residual method, a new method to analyze the probability density function of dynamic eigenvalue of the stochastic structure is proposed. That is, after the stochastic-vector-function expression of the natural frequency of the stochastic structure is deduced by Weighted Residual method, it can be used to obtain all information pertinent to the probability density function of the natural frequency by applying a series of mathematic operations such as determining integrating range, variable substitution, exchanging integral order, and so on. Finally, the application of this method is illustrated through two examples. A comparison between the results of the examples and those attained by Monte-Carlo method was made as well. It shows that the proposed method is of high accuracy and feasibility.

     

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