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A reduction method for structure-acoustic and poroelastic-acoustic problems using interface-dependent Lanczos vectors

机译:使用依赖于接口的Lanczos向量的结构声学和多孔弹性声学问题的简化方法

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摘要

A reduction method is proposed for analysing structure-acoustic and poroelastic-acoustic problems within a finite element framework. This includes systems consisting of an acoustic fluid domain coupled to a flexible structural domain and/or a porous sound absorbing material domain. The studied problem is reduced by dividing the system into a number of physical subdomains. A set of basis vectors is derived for each of these subdomains, including both normal modes and interface-dependent vectors that take account of the influence of connecting subdomains. The method is verified in two numerical examples using the proposed method for both solving the structure-acoustic eigenvalue problem and performing a frequency response analysis in an acoustic cavity with one wall covered by porous material.
机译:提出了一种简化方法,用于分析有限元框架内的结构声学和多孔弹性声学问题。这包括由与柔性结构域和/或多孔吸声材料域耦合的声学流体域组成的系统。通过将系统划分为多个物理子域,可以减少研究的问题。为这些子域中的每个子域派生一组基础向量,包括考虑连接子域影响的正常模式和依赖于接口的向量。使用所提出的方法在两个数值示例中对该方法进行了验证,该方法既可以解决结构声学特征值问题,又可以在一个壁被多孔材料覆盖的声腔中执行频率响应分析。

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