Uncertainty propagation of the energy flow in vibro-acoustic system with fuzzy parameters

Abstract

Abstract Uncertainties to varying degrees often exist in the analysis and design problems of vibro-acoustic systems. This paper investigates the high-frequency vibro-acoustic analysis problem with large levels of fuzzy parameters. By employing the level-cut strategy, the energy balance equations with fuzzy parameters are firstly transformed into the interval forms. Then, by combining the perturbation method, the Sherman-Morrison-Woodbury formula, and the statistical energy analysis, a modified perturbation statistical energy analysis (MPSEA) is proposed to predict the uncertainty propagation of the energy flow in vibro-acoustic systems with fuzzy parameters. Further, the sub-interval technique is introduced in MPSEA to improve its accuracy for the systems with large levels of fuzzy parameters. Numerical simulations of a plate-cavity system and a launcher fairing model with fuzzy parameters are presented to demonstrate the efficiency and accuracy of proposed method. Results indicate that the proposed MPSEA with a suitable number of sub-intervals is capable of predicting the energy flow in vibro-acoustic system with large fuzzy parameter accurately and efficiently.