An interval and random moment-based arbitrary polynomial chaos method (IRMAPCM) is proposed in this paper for the analysis of periodical composite structural-acoustic systems with multi-scale uncertain-but-bounded parameters. In IRMAPCM, the response of structural-acoustic system is approximated as moment-based arbitrary polynomial chaos (maPC) expansion. IRMAPCM can construct the polynomial basis according to the moment of the random variable without knowing the Probability Density Function (PDF), which can avoid the errors introduced by estimating the PDF. Numerical examples of a hexahedral box and an automobile passenger compartment are given to investigate the effectiveness of IRMAPCM for the prediction of the sound pressure response of structural-acoustic systems.

中文翻译：

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基于矩的混合多项式混沌方法用于多尺度参数周期性复合结构声学系统的区间和随机不确定性分析

本文提出了一种基于区间和随机矩的任意多项式混沌方法（IRMAPCM），用于分析具有多尺度不确定但有界参数的周期性复合结构声学系统。在 IRMAPCM 中，结构声学系统的响应近似为基于矩的任意多项式混沌 (maPC) 展开。IRMAPCM可以在不知道概率密度函数（PDF）的情况下根据随机变量的矩构造多项式基，可以避免估计PDF引入的误差。给出了六面体盒子和汽车乘客舱的数值例子，以研究 IRMAPCM 预测结构声学系统声压响应的有效性。