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A SIMPLIFIED ACOUSTIC BOUNDARY ELEMENT METHOD FOR THE PREDICTION OF THE ACOUSTIC FIELD AT HIGH-FREQUENCY BANDS

机译:一种简化的声学边界元方法,用于预测高频频带声场

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摘要

In this paper, a simplified boundary element method (BEM) is proposed in order to extend the acceptable high frequency range of a conventional acoustic BEM. Because the third-octave band spectrum is usually used for a wide range spectral analysis, the formulation stemming from Kirchhoff-Helmholtz integral equation should be capable of calculating the band level representing the averaged characteristics in a band. For this purpose, the monopole and dipole source terms are transformed into auto- and cross-spectrum between two vibrating sources, in which the cross-spectra are eventually discarded based on the assumption of uncorrelated structural motion. In order to check the validity of the formulation, a comparison is made with the Rayleigh integration in evaluating the sound pressure radiated from the baffled beam. The condition rule for the cross-correlation limit is also shown for the proper use of this method. Application to test examples shows that the resultant trend agrees well with the analytic solution. In addition, it is found that the overdetermination technique to overcome the nonuniqueness in exterior problems is not required for the proposed method.
机译:本文提出了一种简化的边界元方法(BEM),以延长传统声学BEM的可接受的高频范围。因为第三倍频程频谱频谱通常用于宽范围的光谱分析,所以从kirchhoff-helmholtz积分方程中的制剂应该能够计算表示频带中平均特性的带电平。为此目的,单极和偶极源术语被转换为两个振动源之间的自动和交叉频谱,其中基于不相关的结构运动的假设最终丢弃交叉光谱。为了检查制剂的有效性,用瑞利集成进行比较,评估从挡板梁辐射的声压。还示出了互相关限制的条件规则以正确使用这种方法。测试示例的应用表明,结果趋势与分析解决方案很好。此外,发现提出的方法不需要过分定制技术以克服外部问题中的非不承受性。

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