A hybrid uncertain analysis approach for structural-acoustic problems with random and evicence variables

In this paper, a hybrid uncertain analysis approach is introduced for the structure acoustic problem with random variables and evidence variables existed simultaneously. In this uncertain structural-acoustic model, the uncertain parameters with sufficient information are treated as random variables, while some uncertain parameters with limited information are assumed as evidence variables. Based on the deterministic formulation of the structural-acoustic system, the response of the hybrid uncertain structural-acoustic problem is specifically deduced. In order to alleviate the computational cost, the intervals of the expectation and variance of the response are computed by combining the evidence theory method, the random interval moment method and the vertex method. A numerical example is presented to show the feasibility and effectiveness of the proposed approach.