Abstract
A framework of non-intrusive polynomial chaos expansion method (PC) was proposed to investigate the statistic characteristics of the response of structural-acoustic system containing random uncertainty. The PC method does not need to reformulate model equations, and the statistics of the response can be evaluated directly. The results show that compared to the direct Monte Carlo method (MCM) based on the original numerical model, the PC method is effective and more efficient.
Highlights
It is well known that traditional methods are conducted with to analysis the structural-acoustic system determined parameters
The polynomial chaos expansion method has been previously applied in uncertain analysis among different fields, such as fluid dynamics [3], structural dynamics [4] and acoustic fields [5,6] and so on
LePage et al [6] studied the sonar system performance in uncertain environments based on the polynomial chaos expansion method (PC) method
Summary
It is well known that traditional methods are conducted with to analysis the structural-acoustic system determined parameters. The MCM is usually employed to validate other approaches. Perturbation stochastic method is an effective method to deal with random uncertainty [2]. This method may be only limited for the problems with small uncertainty level of parameters. Sarkar et al [4] employed the PC method to investigate the mid-frequency vibration of linear random systems with random uncertainty. The PC method is suitable for quantifying the uncertainty in the systems with uncertainties in initial conditions, inputs, or model parameters [7]. The PC method is adopted to study uncertain propagation in the structural-acoustic system containing random uncertainty. A 2D structural-acoustic model containing random uncertainty is investigated
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