Implications of Statistical Spread to Experimental Analysis in a Novel Miniature Kolsky Bar

Thomas H. Hannah, Reuben H. Kraft, V. Martin, S. Ellis
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Abstract

Kolsky Bar systems are subjected to inherent system error as all measurement devices are. This is especially true in that as the bar diameter decreases, the system becomes more sensitive to errors such as friction and misalignment. In this work we present a technique for identifying and quantifying the error of a Kolsky system. We also present a method of generating statistically significant bounds for Kolsky systems so that anomalous or improperly executed experiments can be quantitatively identified. This method does not rely on the intuition of the experimentalist to identify an anomalous experiment. After presenting our method for error identification, a series of tests are performed on 2024Aluminum alloy samples. A method is then presented where the system error, as well as some error contributed by a variance in sample dimension, are removed from the calculated error related to the stress on the samples. The result shows the effective variance of the sample response is quite high in the elastic loading period, but reduces when plasticity dominates. This is attributed to the presence of high frequency content in the travelling elastic waves which cannot be accurately measured currently, but is effectively damped out when plastic deformation dominates.
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一种新型微型科尔斯基棒的统计传播对实验分析的影响
与所有测量设备一样,科尔斯基棒系统也存在固有的系统误差。特别是当杆直径减小时,系统对摩擦和不对中等误差变得更加敏感。在这项工作中,我们提出了一种识别和量化科尔斯基系统误差的技术。我们还提出了一种为科尔斯基系统生成统计显著界限的方法,以便可以定量地识别异常或不正确执行的实验。这种方法不依赖于实验人员的直觉来识别异常实验。在提出误差识别方法后,对2024铝合金样品进行了一系列的测试。然后提出了一种方法,其中系统误差以及由样品尺寸方差引起的一些误差从与样品应力相关的计算误差中去除。结果表明:在弹性加载阶段,试样响应的有效方差较大,而在塑性加载阶段,有效方差减小;这是由于在行弹性波中存在高频内容,目前无法精确测量,但当塑性变形占主导地位时,高频内容可以有效地衰减掉。
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