声振力学环境预示的FE-SEA混合方法研究

传统的有限元方法和统计能量分析能够较好地预示低频和高频的力学环境,但如果存在刚度悬殊过大的子系统时,上述方法均难以准确预示。FE-SEA混合方法兼顾了有限元与统计能量分析的优点,可针对子系统的不同特点分别应用有限元或统计能量分析技术进行建模,而后依据边界处直接场与混响场的互易性,将子系统重新整合,得出整体系统的响应。文中主要介绍了FE-SEA混合方法的基本理论,在对经典理论研究的基础上,完善了FE-SEA混合方法的功率平衡方程并得到复杂系统在各种连接状态下随机子系统间能量传输关系的完整表达式,使得该方法可适用于更为复杂的耦合系统,拓宽了其应用范围。

Research on FE-SEA hybrid method for vibroacoustic prediction in dynamic environment

The dynamic vibroacoustic prediction for such a complex system, in which stiffness of each subsystems varies dramatically, is difficult either with finite element （FE） or with statistical energy analysis （SEA）. However, combined with advantages of both FE and SEA, the FE-SEA can be applied to model subsystems respectively with FE or SEA depending on the subsystems＇ physical characteristics. Consequently, the ensemble average of the entire system can be acquired by using the reciprocity between direct field and diffuse reverberant field. This paper briefly summarizes the basic theory behind the FE-SEA hybrid method and completes the power balance simultaneous equations for describing the power transfer among the random subsystems on the basis of research on traditional theories so that the hybrid method could be used with more complicated coupled systems and the applications of the method could be extended.