Statistical energy analysis with fuzzy parameters

To study the dynamic and acoustic responses of a complex coupled system with fuzzy parameters, the statistic energy analysis (SEA) with fuzzy parameters was proposed, expanding the application range of SEA method in engineering. Based on the property of membership level, the uncertain fuzzy parameters were expressed in the interval forms. Interval mathematics and interval expansion principle were used to solve the problem with interval parameters. Then, according to the decomposition theorem of fuzzy sets, the fuzzy solution was obtained. At last, two numerical examples, a two-plate coupled system and a single layer plate of sound insulation system, were used to verify the feasibility of the presented method.