An analytic Fourier domain description of shear wave propagation in a viscoelastic medium using asymmetric Gaussian sources

机译：使用非对称高斯源的剪切波在粘弹性介质中传播的解析傅里叶域描述

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摘要

Recent measurements of shear wave propagation in viscoelastic materials have been analyzed by constructing the two-dimensional Fourier transform (2D-FT) of the spatial-temporal shear wave signal and using an analysis procedure derived under the assumption the wave is described as a plane wave, or as the asymptotic form of a wave expanding radially from a cylindrically symmetric source. This study presents an exact, analytic expression for the 2D-FT description of shear wave propagation in viscoelastic materials following asymmetric Gaussian excitations and uses this expression to evaluate the bias in 2D-FT measurements obtained using the plane or cylindrical wave assumptions. A wide range of biases are observed depending on specific values of frequency, aspect ratio R of the source asymmetry, and material properties. These biases can be reduced significantly by weighting the shear wave signal in the spatial domain to correct for the geometric spreading of the shear wavefront using a factor of x^p. The optimal weighting power p is found to be near the theoretical value of 0.5 for the case of a cylindrical source with R = 1, and decreases for asymmetric sources with R > 1.

机译：通过构造时空剪切波信号的二维傅立叶变换（2D-FT）并使用在假设该波被描述为平面波的前提下得出的分析程序，分析了粘弹性材料中剪切波传播的最新测量结果，或作为从圆柱对称源径向扩展的波的渐近形式。这项研究为非对称高斯激发之后的粘弹性材料中的剪切波传播的2D-FT描述提供了精确的解析表达式，并使用该表达式来评估使用平面或圆柱波假设获得的2D-FT测量中的偏差。根据频率，源不对称性的长宽比R和材料属性的特定值，可以观察到各种各样的偏差。通过在空间域中对剪切波信号进行加权，以使用x ^{p 因子校正剪切波前的几何扩展，可以显着降低这些偏差。对于具有R 1 ＝ 1的圆柱形源，发现最佳加权功率p接近理论值0.5，而对于具有R 1＞ 1的非对称源，最佳加权功率p减小。}

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期刊名称 The Journal of the Acoustical Society of America
作者
Ned C. Rouze; a); Mark L. Palmeri; Kathryn R. Nightingale;
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年(卷),期 -1(138),2
年度 -1
页码 1012–1022
总页数 11
原文格式 PDF
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1. An analytic, Fourier domain description of shear wave propagation in a viscoelastic medium using asymmetric Gaussian sources [J] . Rouze Ned C., Palmeri Mark L., Nightingale Kathryn R. The Journal of the Acoustical Society of America . 2015,第2期

机译：使用非对称高斯源的剪切波在粘弹性介质中传播的解析傅里叶域描述
2. Thermal wave propagation in a finite medium irradiated by a heat source with Gaussian distribution in both the temporal and spatial domain [J] . R. T. Al-Khairy International Journal of Thermal Sciences . 2011,第8期

机译：热波在时域和时域均具有高斯分布的热源辐射下在有限介质中的传播
3. Propagation of Shear Waves in Viscoelastic Medium at Irregular Boundaries [J] . Chattopadhyay A, Gupta S, Sharma VK, Acta Geophysica . 2010,第2期

机译：剪切波在不规则边界处的粘弹性介质中的传播
4. Measurement of the frequency dependent phase velocity and attenuation from the Fourier description of shear wave propagation: Addressing geometric spreading arising from spatially asymmetric Gaussian excitations [C] . Rouze Ned C., Palmeri Mark L., Nightingale Kathryn R. IEEE International Ultrasonics Symposium . 2015

机译：从剪切波传播的傅立叶描述中测量与频率有关的相速度和衰减：解决由空间非对称高斯激发引起的几何扩展
5. Linear and nonlinear shear wave propagation in viscoelastic media [D] . Lindley, Brandon S. 2008

机译：线性和非线性剪切波在粘弹性介质中的传播
6. Mapped Chebyshev Pseudo-Spectral Method for Simulating the Shear Wave Propagation in the Plane of Symmetry of a Transversely Isotropic Viscoelastic Medium [O] . Bo Qiang, John C. Brigham, Robert J. McGough, -1

机译：模拟切向波在横观各向同性粘弹性介质平面内传播的切比雪夫伪谱方法
7. Guided Wave Mode Propagation Influence for a Shear Horizontal Wave Source in An Anisotropic Viscoelastic Layer [O] . Pelts, S. P., Menon, S. M., Rose, J. L. 1996

机译：各向异性粘弹性层中水平剪切波源的导波模式传播影响
8. Propagation of Internal Gravity Waves in a Medium of Weak Random Vertical Shear. [R] . forbes,jeffrey m. 1973

机译：弱随机垂直剪切介质中内部重力波的传播。

An analytic Fourier domain description of shear wave propagation in a viscoelastic medium using asymmetric Gaussian sources

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