中频声振耦合的波函数统计能量法

Wave based methods-statistical energy analysis methods of mid-frequency vibro-acousic coupling

为了提高中频声振耦合的计算效率,提出了波函数-统计能量法的结构声学耦合方法,该方法从波动理论的角度出发,将波函数法(WBM)和统计能量法(SEA)结合,通过在耦合面分别施加声压激励和速度边界条件,推导了耦合面参数理论计算公式。将该方法用到长方体声腔和钢板耦合的模型中,并对100〜1000 Hz的计算结果进行了实验验证。WBM-SEA模型与参考FEM-SEA模型以及实验模型的频响曲线对比结果表明,WBM-SEA与FEM-SEA以及实验结果吻合很好,验证了混合WBM-SEA的有效性。通过收敛性分析发现混合WBM-SEA方法计算时间比混合FEM-SEA方法更少。从而可以得出结论:混合波函数-统计能量法方法对中频声振耦合预测是有效的,且比FEM-SEA更加高效。

In order to improve the computational efficiency of mid-frequency vibro-acoustic coupling analysis,a structure-acoustic coupling method based on Wave Based Method(WBM)-Statistical Energy Analysis(SEA)is proposed.This method combines WBM and SEA from the perspective of the wave approach.The sound pressure excitation and velocity boundary condition are applied to the coupling surface respectively and the theoretical calculation formula of the coupling surface parameters is derived.This method is applied to a model of the coupling of a rectangular cavity and a steel plate and the experiment between 100-1000 Hz are applied.The comparison of the WBM-SEA model with the reference FEM-SEA model and the plate acceleration response curve of the experimental model shows that WBM-SEA is in good agreement with the FEM-SEA and experimental results,verifying the effectiveness of the hybrid WBM-SEA.Convergence analysis finds that WBM-SEA has less computational time than FEM-SEA.As a result,it can conclude that hybrid WBM-SEA is effective and more efficient than hybrid FEM-SEA.