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Transient nearfield acoustic holography based on an interpolated time-domain equivalent source method

机译:基于插值时域等效源法的瞬态近场声全息

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摘要

Transient nearfield acoustic holography based on an interpolated time-domain equivalent source method (ESM) is proposed to reconstruct transient acoustic fields directly in the time domain. Since the equivalent source strengths solved by the traditional time-domain ESM formulation cannot be used to reconstruct the pressure on the source surface directly, an interpolation function is introduced to develop an interpolated time-domain ESM formulation which permits one to deduce an iterative reconstruction process. As the reconstruction process is ill-conditioned and especially there exists a cumulative effect of errors, the Tikhonov regularization is used to stabilize the process. Numerical examples of reconstructing transient acoustic fields from a baffled planar piston, an impulsively accelerating sphere and a cube box, respectively, demonstrate that the proposed method not only can effectively reconstruct transient acoustic fields in the time domain, but also can visualize acoustic fields in the space domain. And, in the first numerical example, the cumulative effect of errors and the validity of using the Tikhonov regularization to suppress the errors are described.
机译:提出了一种基于内插时域等效源法(ESM)的瞬态近场声全息技术,以在时域中直接重建瞬态声场。由于传统时域ESM公式解决的等效震源强度不能直接用于重构源表面的压力,因此引入了插值函数来开发插值时域ESM公式,从而可以推导迭代重构过程。 。由于重建过程条件不佳,尤其是存在误差的累积影响,因此使用Tikhonov正则化来稳定过程。分别从带挡板的平面活塞,脉冲加速球体和立方盒重建瞬态声场的数值例子表明,该方法不仅可以有效地重建时域中的瞬态声场,而且还可以可视化瞬态声场。空间域。并且,在第一数值示例中,描述了误差的累积影响以及使用Tikhonov正则化来抑制误差的有效性。

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