基于模型结构振动台试验的概率密度演化方法验证

以广义概率密度演化方程为核心的概率密度演化方法可应用于一般随机动力系统的反应分析与可靠度评价。该文基于随机地震动作用下模型结构振动台试验实测数据，将试验模型典型动力响应的样本集合直接统计结果与概率密度演化分析结果进行对比，以从试验角度验证概率密度演化方法的正确性。研究结果表明，概率密度演化分析结果，无论从均值与标准差过程，还是典型时刻的概率分布上，均分别与样本统计结果吻合良好，从而证明了概率密度演化方法在随机动力系统分析中的精确性与可靠性。

VALIDATION OF THE PROBABILITY DENSITY EVOLUTION METHOD BASED ON SHAKING TABLE TESTS OF A MODEL STRUCTURE

A family of probability density evolution method (PDEM) with the kernel of generalized density evolution equation can be applied to response analysis and reliability evaluation of general stochastic dynamical systems. The present study is devoted to the investigation of the correctness of the PDEM based on experimental data of shaking table tests of a model structure subjected to random earthquake ground motions. Typical dynamic responses of the test model were analyzed by sample statistics and the PDEM, respectively, and results from the two methods were compared. The study demonstrated that analytical results of the PDEM were in a good agreement with those of sample statistics in terms of the mean, the standard deviation and the instantaneous probability density function (PDF). The accuracy and reliability of PDEM for stochastic dynamical systems were proved.