Uncertainty propagation in SEA for structural–acoustic coupled systems with non-deterministic parameters
Uncertainty propagation in SEA for structural–acoustic coupled systems with non-deterministic parameters
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DOI：
10.1016/j.jsv.2014.03.003
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发表时间：
2014-08
影响因子：
4.7
通讯作者：
Menghui Xu;Z. Qiu;Xiaojun Wang
中科院分区：
文献类型：
--
作者：
Menghui Xu;Z. Qiu;Xiaojun Wang
考虑到结构-声耦合系统不确定性信息的有限性，基于统计能量分析（SEA）方法，提出了两种预测结构-声耦合系统动力特性的方法：顶点法和基于Legendre正交多项式的方法。对于顶点法，给出了一个确定区间输入向量所构成的矩形的所有顶点坐标的有效程序，该程序适用于任意维数的区间输入向量。基于Legendre正交多项式逼近，提出了一种关于不确定参数逐维确定目标响应的最小和最大点向量的方法，而不是求目标响应的极值。在理论上分析了所提出方法的精度和效率之后，通过一个数值算例和两个应用程序对其进行了验证。
Considering limited available information on uncertainties in structural - acoustic coupled systems, two methods namely the vertex method and the Legendre orthogonal polynomial based method for predicting their dynamic behavior are developed based on the Statistical Energy Analysis (SEA) approach. For the vertex method, an efficient program for determining coordinates of all vertices of the rectangular spanned by entries of the involved interval input vector is coded, which is well suited for an interval input vector in arbitrary dimension. Instead of calculating the extremum of the response of interest, a method for determining its minimal and maximal point vectors dimension by dimension with respect to uncertain parameters is proposed based on the Legendre orthogonal polynomial approximation. Following the theoretical analysis of the accuracy and efficiency of the proposed methods, their validation is performed by one numerical example and two applications.