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首页> 外文期刊>Journal of Sound and Vibration >Nonlinear, dissipative, planar Nearfield Acoustical Holography based on Westervelt wave equation (Conference Paper)
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Nonlinear, dissipative, planar Nearfield Acoustical Holography based on Westervelt wave equation (Conference Paper)

机译：基于Westervelt波动方程的非线性耗散平面近场声全息术（会议论文）

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摘要

When a conventional, linear, lossless Nearfield Acoustical Holography (NAH) procedure is applied to reconstruct three-dimensional (3-D) sound fields that are radiated from a high-level noise source and include significant nonlinear components, it can result in significant reconstruction errors. Here, a nonlinear, dissipative, planar NAH procedure is introduced that can be used to identify nonlinear noise characteristics in the 3-D nearfield of a high-level noise source from two-dimensional (2-D) sound pressure data measured on a hologram surface. The proposed NAH procedure is derived by applying perturbation and renormalization methods to the nonlinear, dissipative Westervelt wave equation. In order to validate the proposed procedure, the nonlinear and dissipative sound pressure fields radiated from a high-level pulsating sphere and an infinite-size, vibrating panel are calculated from the Burgers equations in the spherical and rectangular coordinates, respectively. An improved SONAH procedure is applied to reconstruct source sound pressure fields that are input to the proposed nonlinear NAH projection procedure. Within 2.5 m nearfield reconstruction distance from the pulsating sphere, the nonlinear sound pressure field reconstructed by applying the proposed NAH procedure matches well with the directly-calculated field at the maximum reconstruction error of 0.6 dB. In the infinite-size panel case, the reconstructed nonlinear sound pressure field agrees also well with the directly-calculated result with the maximum reconstruction error of 1 dB.
机译：当使用常规的线性无损近场声全息术（NAH）程序重建从高水平噪声源辐射并包含大量非线性分量的三维（3-D）声场时，可能会导致大量重建错误。在这里，引入了一种非线性的，耗散的，平面的NAH过程，该过程可用于从全息图上测得的二维（2-D）声压数据中识别高电平噪声源的3-D近场中的非线性噪声特征。表面。拟议的NAH程序是通过对非线性耗散的Westervelt波动方程应用摄动和重新归一化方法而得出的。为了验证所提出的程序，分别根据球形坐标和矩形坐标中的Burgers方程计算了从高水平脉动球体辐射的非线性和耗散声压场，以及无限大小的振动板。改进的SONAH程序应用于重构输入到建议的非线性NAH投影程序的源声压场。在距脉动球面2.5 m的近场重建距离内，通过应用建议的NAH程序重建的非线性声压场与最大重建误差为0.6 dB的直接计算场匹配良好。在无穷大面板情况下，重建的非线性声压场也与直接计算的结果非常吻合，最大重建误差为1 dB。

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