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Self and mutual radiation impedances between translated spheroids. Application to parallel disks
The Journal of the Acoustical Society of America ( IF 2.1 ) Pub Date : 2021-09-13 , DOI: 10.1121/10.0006106
Joël Bensoam 1 , Matthieu Aussal 2
Affiliation  

This article derives the radiation impedance for two parallel pistons in two different configurations: baffled and unbaffled. For the former, the cylindrical system of coordinates is adapted to compute the self and mutual impedance of a piston between perfectly rigid infinite parallel planes. For the latter, spheroidal coordinates are used and declined for the case of two disks in free-space. The formulae for Green's function that respects Neumann boundary conditions are established in both configurations in order to compute the pressure field using the Huygens-Fresnel principle. Contrasting with the radiation impedance obtained for one single radiator, both systems exhibit resonant frequencies. The result of this study, validated in each case by a numerical method, can be used to predict the acoustic interaction of two vibrating systems for which their radiation surfaces are facing each other.

中文翻译:

平移球体之间的自辐射阻抗和互辐射阻抗。应用于并行磁盘

本文推导出两种不同配置的两个平行活塞的辐射阻抗:挡板和无挡板。对于前者,圆柱坐标系适用于计算完美刚性无限平行平面之间活塞的自阻抗和互阻抗。对于后者,对于自由空间中的两个磁盘的情况,使用并拒绝了球体坐标。在两种配置中都建立了遵守诺依曼边界条件的格林函数公式,以便使用惠更斯-菲涅耳原理计算压力场。与单个辐射器获得的辐射阻抗相比,两种系统都表现出谐振频率。这项研究的结果,在每种情况下都通过数值方法验证,
更新日期:2021-09-13
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