考虑模糊参数的统计能量分析方法

Statistical energy analysis with fuzzy parameters

将模糊数学理论与统计能量分析方法相结合,提出了一种考虑模糊参数的复杂耦合系统声一振环境的预测方法。拓展了传统统计能量分析方法的应用范围,使其更能满足实际工程问题的需要。应用区间数学与区间自然扩张原理,求出子系统响应在各模糊参数的A水平截集下的区间解,再通过模糊分解定理构造出模糊解。以双板耦合系统和单层板隔声系统为例分别讨论了含有模糊参数的子系统间功率流和子系统响应问题,从而验证所提出方法的可行性。

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.