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首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers, Part C. Journal of mechanical engineering science >A new data extrapolation method based on the modified Helmholtz equation least-squares method
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A new data extrapolation method based on the modified Helmholtz equation least-squares method

机译:基于修正的亥姆霍兹方程最小二乘法的新数据外推方法

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Fast Fourier transform-based near-field acoustic holography requires that the measurement aperture should completely enclose the source, which is impractical for large-scale sound sources. Helmholtz equation least-squares method can reconstruct the acoustic field with fewer measurements than fast Fourier transform-based near-field acoustic holography. However, it is not suitable for reconstructing acoustic radiation from multiple sources or a complicated source which consists of several separated parts. To circumvent this difficulty and enhance the reconstruction accuracy, a new data extrapolation method based on the modified Helmholtz equation least-squares method is proposed. The base of this data extrapolation method is a modified Helmholtz equation least-squares method which expresses the acoustic field of a complicated source as the superposition of the acoustic radiation from all of its separated parts. Using the acoustic pressures reconstructed with the modified Helmholtz equation least-squares method, the measurement surface is extended through an iterative procedure. Meanwhile, Tikhonov regularization method together with generalized cross-validation parameter choice method is utilized to treat the ill-posed problem in reconstructions. In the end, taking the extrapolated pressures as input data, the acoustic field can be reconstructed more precisely. Numerical simulation and experimental results demonstrate that this method can significantly enhance the reconstruction accuracy and efficiency.
机译:基于快速傅里叶变换的近场声全息技术要求测量孔径应完全包围声源,这对于大规模声源是不切实际的。相比基于快速傅里叶变换的近场声全息技术,亥姆霍兹方程最小二乘方法可以用更少的测量值重建声场。但是,它不适用于从多个源或由几个分开的部分组成的复杂源重建声辐射。为了克服这一困难并提高重建精度,提出了一种基于改进的亥姆霍兹方程最小二乘法的数据外推方法。该数据外推方法的基础是改进的亥姆霍兹方程最小二乘法,该方法将复杂源的声场表示为来自其所有分离部分的声辐射的叠加。使用通过改进的亥姆霍兹方程最小二乘法重建的声压,可通过迭代过程扩展测量表面。同时,将Tikhonov正则化方法与广义交叉验证参数选择方法一起用于重建中的不适定问题。最后,将外推压力作为输入数据,可以更精确地重建声场。数值模拟和实验结果表明,该方法可以显着提高重建精度和效率。

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