Hybrid uncertain analysis for structural-acoustic problem with random and interval parameters

In this paper, hybrid perturbation Monte-Carlo method (HPMCM) and hybrid perturbation vertex method (HPVM) are developed for the hybrid uncertain structural-acoustic problem with random and interval variables. The random variables are used to treat the uncertain parameters with sufficient information; whereas, the interval variables are used to treat the uncertain parameters with limited information. In HPMCM, the intervals of expectation and variance of the frequency response vector are calculated by a combination of random interval matrix perturbation method, random interval moment method and Monte-Carlo method. In HPVM, a monotonicity analysis is conducted for the frequency response vector based on the random interval matrix perturbation method; and then the intervals of expectation and variance of the frequency response vector are calculated by employing the random interval moment method and the vertex method. Numerical results on a shell structural-acoustic problem verify the effectiveness and high efficiency of HPVM compared with HPMCM. (C) 2012 Elsevier Ltd. All rights reserved.