基于混合法的内部结构声分析  

A Hybrid Method for Interior Structural-acoustic Analysis

作　　者：彭伟才[1] 赵高煜[1] 何锃[1] 

机构地区：[1]华中科技大学力学系,湖北武汉430074

出　　处：《中国舰船研究》2009年第5期14-19,共6页Chinese Journal of Ship Research

基　　金：国家自然科学基金资助项目(10872075)

摘　　要：有限元法(FEM)是广泛接受的分析耦合结构声(SA)系统动力响应的预报工具。由于随频率增加计算模型也增加导致基于单元的方法在实际中约束在低频段。一种替代方法是基于间接Trefftz法的基于波动方法(WBM)。但WBM的不足之处在于高计算效率只针对中度复杂的几何模型。为了利用两者的优势:FEM的广泛应用和WBM的高收敛特性,提出了混合FE-WB预报法(FEM-WBM)。基本原理是将FE模型中较大且几何简单的部分采用WBM代替。得到的耦合模型仍具有较少的自由度。简要描述了FEM、WBM以及混合FEM-WBM的理论基础。最后将该方法应用于一个简单的结构声模型,理论分析结果与数值仿真计算结果吻合较好,该混合方法有潜力覆盖中频段。The finite element method （FEM） is a widely accepted prediction tool for the steady-state dynamic response analysis of coupled structural-acoustic （SA） systems. However, it is limited to the low frequency range due to the fast growing model size for increasing frequencies. An alternative method is the wave based method （WBM） based on the indirect Trefftz method. However, the applicability of the WBM is limited since the high computational efficiency only appears for moderate geometrical complexity. In order to take advantage of the wide application range of the FEM and the high convergence rate of the WBM, a hybrid method of the two is proposed. The basic idea is to replace parts of the FE model with simple geometrical shapes by much smaller wave models. The resulting hybrid model has fewer degrees of freedom. The theoretical background of both the FEM and the WBM is briefly discussed, followed by the mathematical description of the hybrid FE-WB method. The hybrid modeling concept is demonstrated for a structural-acoustic system. The results are shown to be in good agreement with numerical simulation results. The example illustrates that the hybrid FE-WB method has the potential to cover the mid-frequency range.

关 键 词：结构声分析 直接耦合 混合方法 基于波动方法 有限元法 

分 类 号：O42[理学—声学]