Abstract:To study the dynamic and acoustic responses of coupled system with fuzzy parameters, the statistic energy analysis with fuzzy parameters is proposed, that expanded the applied range of SEA method in engineering. Based on the property of menbership level, the uncertain fuzzy parameters are expressed in the interval forms. Interval mathematics and interval expansion principle are used to solve the problem with interval parameters. Then, according to the decomposition theorem of fuzzy sets, the fuzzy solution is obtained. At last, two numerical examples, which are two-plate coupling system and single partition of sound insulation system, are considered to illuminate the practicability of the presented method.