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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。
The probability density evolution method with the generalized probability density evolution equation as the core can be applied to the response analysis and reliability evaluation of general stochastic dynamical systems. In this paper, based on the measured data of shaking table test of model structure under random earthquake, the direct statistical results of sample set of typical dynamic response of experimental model are compared with the results of probability density evolution analysis to verify the correctness of the method of probability density evolution from experimental standpoint. The results show that the results of probability density evolution analysis are in good agreement with the sample statistical results both in the mean and standard deviation process and in the probability distribution of the typical time, which proves the accuracy of the method of probability density evolution in stochastic dynamical system analysis Sex and reliability.