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首页> 外文期刊>Applied Acoustics >An analytical model for a dodecahedron loudspeaker applied to the design of omni-directional loudspeaker arrays
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An analytical model for a dodecahedron loudspeaker applied to the design of omni-directional loudspeaker arrays

机译：十二面体扬声器的解析模型在全向扬声器阵列设计中的应用

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摘要

The dodecahedron (12 sided) loudspeaker is used extensively for acoustic measurements as an approximation to an omni-directional sound source, for example in building acoustics and automotive applications. In many instances its use is favoured above other omni-directional source approximations e.g. open pipe because of its greater power. However, analysis by other authors has shown that the radiation deviates from omni-directional above a certain frequency. In this paper an analytical model of the sound pressure field generated by a dodecahedron loudspeaker is constructed. The sound pressure field generated by the model is then compared with measured data and good agreement is demonstrated. Having established and validated the model, it is adapted to form alternative spherical loudspeaker arrays based on Platonic and Archimedean solid geometry and also a number of spherical packing routines. The aim of the analysis is to determine the optimal geometry for an omni-directional source using pistonic loudspeakers. The analysis shows that constructive interference of the pressure field across the spherical baffle surface and not individual loudspeaker pistonic radiation characteristics is the most significant factor with respect to deviations from omni-directional radiation for a complete spherical array. Consequently, loudspeaker elements which physically occupy the spherical baffle surface to their maximum extent provide the most extended frequency range of omni-directional operation. The most optimal spherical array distribution is shown to be the dodecahedron.
机译：十二面体（12面）扬声器广泛用于声学测量，作为全向声源的近似值，例如在建筑声学和汽车应用中。在许多情况下，它的使用优于其他全方向源近似，例如打开管道，因为它的功率更大。但是，其他作者的分析表明，辐射在某个频率以上偏离全向。本文建立了十二面体扬声器产生的声压场的解析模型。然后将模型产生的声压场与实测数据进行比较，证明了良好的一致性。建立并验证了该模型后，该模型就可以构成基于Platonic和Archimedean实体几何形状以及许多球形填充例程的替代球形扬声器阵列。分析的目的是为使用活塞式扬声器的全向声源确定最佳几何形状。分析表明，相对于完整球形阵列与全向辐射的偏差，跨球形挡板表面的压力场的建设性干扰而非单个扬声器的活塞辐射特性是最重要的因素。因此，物理上最大程度地占据球形挡板表面的扬声器元件提供了全向操作的最大扩展频率范围。最佳的球面阵列分布显示为十二面体。

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