The stochastic pseudo excitation method (SPEM), which is based on the principle of pseudo excitation method (PEM), is introduced to represent the randomness of dynamic input in which the amplitude of excitation is adopted as a random variable. Based on the mathematic definition of power spectral density, a physical interpolation of the SPEM is discussed. Even if one random variable is involved in calculation, the effects of the uncertainties are required to be investigated. The SPEM offers a simple but quite effective way to solve the dynamic reliability problem. Through integrating the new algorithm into first-order reliability method (FORM), the dynamic reliability of uncertain structure subjected to random excitation is studied. A linear oscillator with three types of white noise is adopted to verify the SPEM for dynamic reliability of linear random vibration analysis. Also, the accuracy and efficiency of SPEM to handle the multi-degree-of-freedom structure is investigated in this paper.

中文翻译：

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结合随机伪激励法的一阶可靠性方法进行动态可靠性评估

引入随机伪激励法（SPEM），它基于伪激励法（PEM）的原理，以激励幅值作为随机变量来表示动态输入的随机性。基于功率谱密度的数学定义，讨论了SPEM的物理插值。即使在计算中涉及一个随机变量，也需要研究不确定性的影响。SPEM 提供了一种简单但非常有效的方法来解决动态可靠性问题。将新算法与一阶可靠性方法（FORM）相结合，研究了随机激励下不确定结构的动态可靠性。采用具有三种白噪声的线性振荡器来验证SPEM对线性随机振动分析的动态可靠性。此外，本文还研究了 SPEM 处理多自由度结构的准确性和效率。