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A fast and efficient algorithm for acoustic resonances of a 3D open cavity with asymmetrical walls
Applied Acoustics ( IF 3.4 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.apacoust.2020.107679
Qingbo Zhai , Fangli Ning , Hui Ding , Zhe Liu , Changtong Zhang , Juan Wei

Abstract Cavities with asymmetrical walls exist in many industrial applications and its acoustic properties are crucial to noise and vibration control. However, traditional methods are complex and time-consuming such as finite element method (FEM). Given the problems existing in traditional methods, the ISM-TM algorithm which combined the image source model (ISM) with the transformation matrix (TM) is proposed to explore acoustic resonances of a 3D open cavity with asymmetrical walls in this work. Compared with experiments, the proposed algorithm can well obtain the acoustic resonances of a 3D open rectangle cavity and a 3D open cavity with non-parallel walls. In a 3D open rectangle cavity, with the increase of the calculation frequency, the relative error between acoustic resonant frequencies measured by experiments and estimated by the ISM-TM is reduced from 11.3 % to 0.9 % . In a 3D open cavity with non-parallel walls, with the increase of the calculation frequency, the relative error between acoustic resonant frequencies measured by experiments and estimated by the ISM-TM is reduced from 2.3 % to 0.2 % . The results suggest that the proposed algorithm in this work could well estimate acoustic resonances of a 3D open cavity for medium and high frequency. Compared with the FEM, the proposed algorithm can provide the frequency response function (FRF) of any point in a 3D open cavity easily and quickly. The ISM-TM can be used to guide cavity design to predict possible acoustic resonances in the cavity in advance.

中文翻译:

具有非对称壁的 3D 开放腔的声学共振的快速有效算法

摘要 具有不对称壁的腔体存在于许多工业应用中,其声学特性对噪声和振动控制至关重要。然而,传统方法复杂且耗时,例如有限元法(FEM)。针对传统方法存在的问题,本文提出了将图像源模型(ISM)与变换矩阵(TM)相结合的ISM-TM算法来探索具有非对称壁的3D开放腔的声学共振。与实验相比,所提出的算法可以很好地获得3D开放矩形腔和具有非平行壁的3D开放腔的声共振。在 3D 开放矩形腔体中,随着计算频率的增加,实验测得的声共振频率与 ISM-TM 估计的声共振频率之间的相对误差从 11.3% 降低到 0.9%。在具有非平行壁的 3D 开放腔体中,随着计算频率的增加,实验测得的声共振频率与 ISM-TM 估计的声共振频率之间的相对误差从 2.3% 降低到 0.2% 。结果表明,这项工作中提出的算法可以很好地估计中高频 3D 开放腔的声学共振。与有限元法相比,所提出的算法可以轻松快速地提供 3D 开放腔中任意点的频率响应函数 (FRF)。ISM-TM 可用于指导空腔设计,提前预测空腔中可能的声学共振。在具有非平行壁的 3D 开放腔体中,随着计算频率的增加,实验测得的声共振频率与 ISM-TM 估计的声共振频率之间的相对误差从 2.3% 降低到 0.2% 。结果表明,这项工作中提出的算法可以很好地估计中高频 3D 开放腔的声学共振。与有限元法相比,所提出的算法可以轻松快速地提供 3D 开放腔中任意点的频率响应函数 (FRF)。ISM-TM 可用于指导空腔设计,提前预测空腔中可能的声学共振。在具有非平行壁的 3D 开放腔体中,随着计算频率的增加,实验测得的声共振频率与 ISM-TM 估计的声共振频率之间的相对误差从 2.3% 降低到 0.2% 。结果表明,这项工作中提出的算法可以很好地估计中高频 3D 开放腔的声学共振。与有限元法相比,所提出的算法可以轻松快速地提供 3D 开放腔中任意点的频率响应函数 (FRF)。ISM-TM 可用于指导空腔设计,提前预测空腔中可能的声学共振。结果表明,这项工作中提出的算法可以很好地估计中高频 3D 开放腔的声学共振。与有限元法相比,所提出的算法可以轻松快速地提供 3D 开放腔中任意点的频率响应函数 (FRF)。ISM-TM 可用于指导空腔设计,提前预测空腔中可能的声学共振。结果表明,这项工作中提出的算法可以很好地估计中高频 3D 开放腔的声学共振。与有限元法相比,所提出的算法可以轻松快速地提供 3D 开放腔中任意点的频率响应函数 (FRF)。ISM-TM 可用于指导空腔设计,提前预测空腔中可能的声学共振。
更新日期:2021-02-01
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