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.