Hybrid uncertainty propagation in structural-acoustic systems based on the polynomial chaos expansion and dimension-wise analysis

Hybrid uncertainties are ubiquitous in the structural-acoustic analysis and greatly affect the behaviors of the coupled system. However, requirements of small uncertainties and rewriting simulation codes for the numerical analysis are always necessary for current methods. In this context, a non-intrusive dual-layer analysis procedure, i.e. a hybrid method of the polynomial chaos expansion and dimension-wise analysis (PCE-DW), is proposed in this paper. The PCE procedure based on the sparse grid collocation strategy is utilized to handle the random uncertainty while the DW procedure is employed to evaluate the interval bounds of statistical characteristics of the system response. The PCE-DW also applies to the structural-acoustic analysis with only random or interval parameters. The investigation of two structural-acoustic systems with hybrid uncertainties finally demonstrates the accuracy, efficiency and capability of the proposed method.