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时间和偏振分辨超声测量的统计误差分析

Statistical error analysis of time and polarization resolved ultrasonic measurements.

作者信息

Xiang D, Hsu N N, Blessing G V

机构信息

Div. of Autom. Production Technol., Nat. Inst. of Stand. and Technol., Gaithersburg, MD.

出版信息

IEEE Trans Ultrason Ferroelectr Freq Control. 1998;45(4):1006-16. doi: 10.1109/58.710582.

DOI:10.1109/58.710582
PMID:18244255
Abstract

The time and polarization resolved ultrasonic technique which we previously developed has been demonstrated to simultaneously provide measurements of the wave velocity in the coupling liquid, and the leaky surface wave and leaky longitudinal wave velocities in solid samples. To document the measurement precision associated with this technique, a statistical method is employed for the data fit and error analysis. With the help of statistical analysis, the simple ray model used to determine wave velocities in this technique is first confirmed by theoretical data which are predicted by the Green's function. Error analysis is then applied to the experimental data. The results show that this technique has a relative expanded uncertainty (equal to twice the standard deviation) of 0.03% for the wave velocity in water, and an uncertainty less than 0.2% and 2%, respectively, for the leaky surface and leaky longitudinal wave velocities in a crown glass sample. The uncertainty in the repeatability for leaky surface wave measurements is observed to be much less than the expanded uncertainty of a single measurement set. This methodology also has been applied to a set of steel samples. The results allow that the expanded uncertainty for leaky surface wave velocities is less than 0.07%, enabling a correlation of the measured velocities with specific sample heat treatments.

摘要

我们之前开发的时间和偏振分辨超声技术已被证明能够同时测量耦合液体中的波速,以及固体样品中的泄漏表面波和泄漏纵波速度。为了记录与该技术相关的测量精度,采用一种统计方法进行数据拟合和误差分析。借助统计分析,用于确定该技术中波速的简单射线模型首先通过格林函数预测的理论数据得到证实。然后对实验数据进行误差分析。结果表明,该技术对于水中波速的相对扩展不确定度(等于标准偏差的两倍)为0.03%,对于冕牌玻璃样品中的泄漏表面波和泄漏纵波速度,不确定度分别小于0.2%和2%。观察到泄漏表面波测量重复性的不确定度远小于单个测量集的扩展不确定度。该方法也已应用于一组钢样品。结果表明,泄漏表面波速度的扩展不确定度小于0.07%,从而能够将测量速度与特定样品热处理相关联。

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