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A unified modeling method for the rotary enclosed acoustic cavity

机译：旋转封闭声腔的统一建模方法

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摘要

The rotary enclosed acoustic cavity has three common forms, which are conical, cylindrical and spherical cavity. They are widely used in practical production and belong to the category of rotary room acoustics. Therefore, the study of their acoustic characteristics is of great engineering significance. In this paper, a unified analytical model for acoustic characteristics of rotary enclosed cavity with various impedance walls is first established. A three-dimensional (3D) modified Fourier series method is proposed to construct the admissible function of sound pressure. Specifically, the sound pressure function is invariably expressed as a 3D trigonometric series superposition, which includes the multiplication of three cosine functions and six complementary polynomials. The introduction of complementary polynomials can effectively solve the impedance acoustic wall. Based on Rayleigh-Ritz energy method, the acoustic characteristics of the unified analysis model can be obtained. The sound pressure response of the cavity under the influence of different impedance walls is further studied by placing a point sound source inside the acoustic cavity. The accuracy of the unified model is verified by comparing the present results with those obtained by finite element method (FEM) and experiment, and the effect of important parameters on the acoustic characteristics is systematically studied. (C) 2020 Elsevier Ltd. All rights reserved.
机译：旋转封闭声腔具有三种常见形式，分别是圆锥形，圆柱形和球形腔。它们广泛用于实际生产中，属于旋转室内声学的类别。因此，研究其声学特性具有重要的工程意义。本文首先建立了具有不同阻抗壁的旋转封闭腔声学特性的统一解析模型。提出了一种三维（3D）修正傅里叶级数方法来构造声压的容许函数。具体来说，声压函数始终表示为3D三角序列叠加，其中包括三个余弦函数和六个互补多项式的乘积。互补多项式的引入可以有效地解决声墙的阻抗问题。基于Rayleigh-Ritz能量方法，可以获得统一分析模型的声学特性。通过在声腔内部放置点声源，进一步研究了在不同阻抗壁的影响下腔的声压响应。通过将现有结果与有限元方法（FEM）和实验结果进行比较，验证了统一模型的准确性，并系统研究了重要参数对声学特性的影响。 （C）2020 Elsevier Ltd.保留所有权利。

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