Conventional element based methods for modeling acoustic problems are limited to low-frequency applications due to the huge computational efforts. For high-frequency applications, probabilistic techniques, such as sta...Conventional element based methods for modeling acoustic problems are limited to low-frequency applications due to the huge computational efforts. For high-frequency applications, probabilistic techniques, such as statistical energy analysis （SEA）, are used. For mid-frequency range, currently no adequate and mature simulation methods exist. Recently, wave based method has been developed which is based on the indirect TREFFTZ approach and has shown to be able to tackle problems in the mid-frequency range. In contrast with the element based methods, no discretization is required. A sufficient, but not necessary, condition for convergence of this method is that the acoustic problem domain is convex. Non-convex domains have to be partitioned into a number of （convex） subdomains. At the interfaces between subdomains, specific coupling conditions have to be imposed. The considered two-dimensional coupled vibro-acoustic problem illustrates the beneficial convergence rate of the proposed wave based prediction technique with high accuracy. The results show the new technique can be applied up to much higher frequencies.展开更多
描叙了圆柱壳与声耦合系统建模技术的基本概念。根据WB法(Wave based method,简称WB法)的基本原理,将结构场变量和声压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以及结构与声耦合界面上的连续性条件转换成近...描叙了圆柱壳与声耦合系统建模技术的基本概念。根据WB法(Wave based method,简称WB法)的基本原理,将结构场变量和声压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以及结构与声耦合界面上的连续性条件转换成近似积分,推导出一组由代数方程表示的耦合模型。通过分析二维的算例表明这种预报技术计算量小且精度高,因此可应用到中频的分析。展开更多
基金This project is supported by National Natural Science Foundation of China (No.10472035).
文摘Conventional element based methods for modeling acoustic problems are limited to low-frequency applications due to the huge computational efforts. For high-frequency applications, probabilistic techniques, such as statistical energy analysis （SEA）, are used. For mid-frequency range, currently no adequate and mature simulation methods exist. Recently, wave based method has been developed which is based on the indirect TREFFTZ approach and has shown to be able to tackle problems in the mid-frequency range. In contrast with the element based methods, no discretization is required. A sufficient, but not necessary, condition for convergence of this method is that the acoustic problem domain is convex. Non-convex domains have to be partitioned into a number of （convex） subdomains. At the interfaces between subdomains, specific coupling conditions have to be imposed. The considered two-dimensional coupled vibro-acoustic problem illustrates the beneficial convergence rate of the proposed wave based prediction technique with high accuracy. The results show the new technique can be applied up to much higher frequencies.
文摘描叙了圆柱壳与声耦合系统建模技术的基本概念。根据WB法(Wave based method,简称WB法)的基本原理,将结构场变量和声压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以及结构与声耦合界面上的连续性条件转换成近似积分,推导出一组由代数方程表示的耦合模型。通过分析二维的算例表明这种预报技术计算量小且精度高,因此可应用到中频的分析。
