基于间接Trefftz法的封闭声腔的结构-声耦合分析

Indirect Trefftz-based Approach of Coupling Structural-Acoustic

描述了三维结构声耦合系统建模技术的基本概念。根据间接Trefftz法的基本原理,将结构和声域展开成波函数和特解函数的叠加。应用加权余量法将结构和声学边界条件转换成近似积分,推导出一组由代数方程表示的波模型。求解方程的未知系数,再代入展开式得到结构声系统的响应预报。并用SYSNOISE软件进行了数值模拟,计算结果表明该方法具有较高的收敛速度,可为中频振动分析提供了一种新的研究思路。

This paper describes the basic concept of the technique for the modeling of the 3D coupled structural-acoustic systems.According to the principle of indirect Trefftz method,structural and acoustic domains are approximated in terms of wave functions and particular solutions.The structural and acoustical boundary conditions are transformed into a weighted residual formulation.Solving model for the unknown wave function contributions and back-substituting the results into the expansions yield the prediction of the dynamic response of the structural-acoustic system.And numerical analysis is carried out by the software of SYSNOISE.The results are shown to be better convergence properties.The proposed method is a novel method for mid frequency vibration analysis.