Hybrid uncertainty analysis of sound radiation in structural-acoustic systems with random and interval parameters

Sound radiation is a critical factor in the design of engineering structures to obtain good sound insulation. The analysis of sound radiation with uncertainty has received considerable research attention over the recent years. In this study, a novel method called symmetric matrix decomposition hybrid perturbation method is proposed to predict the global sound radiation from structural-acoustic systems with hybrid uncertainty based on the total sound power. Firstly, the acoustic radiation mode approach is used to estimate the total sound power, and the computational method is improved by using the symmetry of radiation resistance matrix. Then, a finite element model is established for the structural-acoustic system with hybrid random and interval uncertainties. Based on the perturbation technique and Taylor expansion, the lower and upper bounds of the expectation and variance of the sound power response are derived. Finally, the feasibility and effectiveness of the proposed method is validated through numerical examples. The results show that the proposed method is comparable to the Monte Carlo simulations. The method can not only deal with the influence of uncertainty of the acoustic environment on the total sound power but also can be used to address pure stochastic problems of the sound radiation. Overall, this study effectively promotes the analysis of sound radiation problem with uncertainty based on the sound power.