Numerical analysis of the 2D acoustic field with fuzzy-random parameters

Aim at the problem that the fuzziness and the randomness may exist in a acoustic field at the same time, a method for the numerical analysis of the 2D acoustic field with Fuzzy-Random parameters is proposed based on the equivalent conversion of information entropy. In the proposed method, a fuzzy-random acoustic field is treated as a pure fuzzy acoustic field or a pure random acoustic field by transforming all the variables into fuzzy variables or random variables. Perturbation finite element method for calculating the fuzzy two-dimension acoustic field and random two- dimension acoustic field are deduced. The sound pressure response of a 2D acoustic tube and a 2D car acoustic cavity with fuzzy-random parameters are analyzed by the proposed method and the Monte Carlo method. The analysis results of pure fuzzy acoustic field and that of pure random acoustic field are compared in the meantime, which verifies the validity of the proposed method. Thus, the proposed method can be well applied in analyzing the 2D acoustic field with fuzzy-random parameters, and has good prospect of engineering application.