Statistical Energy Analysis for the Vibro-Acoustic System with Interval Parameters

Uncertainty quantification on the dynamic response of vibro-acoustic systems draws increasing attention in engineering applications. To calculate the high-frequency energy response of a vibro-acoustic system with interval parameters, an affine interval perturbation statistical energy analysis (AIPSEA) is proposed by combining the interval perturbation analysis, the affine arithmetic, and the statistical energy analysis (SEA). The subinterval technique is introduced in AIPSEA to improve the computational accuracy of AIPSEA when the levels of uncertainty are high. Numerical simulations of a plate-cavity coupled system and a simplified launch vehicle fairing with interval parameters are conducted. The accuracy of proposed method is verified by the Monte Carlo statistical energy analysis (MCSEA). Simulation results indicate that the accuracy of interval perturbation statistical energy analysis (IPSEA) and AIPSEA decreases with the increasing uncertainty levels. AIPSEA has better performance than IPSEA in the vibro-acoustic analysis of the system with interval parameters. By employing the subinterval technique, the computational accuracy of AIPSEA is significantly improved.