Modeling, quantification, and mitigation of uncertainty propagation in two-step roundness measurements
Modeling, quantification, and mitigation of uncertainty propagation in two-step roundness measurements
复制标题
两步圆度测量中不确定性传播的建模、量化和缓解
DOI：
10.1016/j.measurement.2020.107530
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发表时间：
2020-04-01
期刊：
影响因子：
5.6
通讯作者：
Qu, Jinping
中科院分区：
文献类型：
--
作者：
Shi, Shengyu;Kuschmierz, Robert;Qu, Jinping
误差分离（ES）技术可以消除由转台引起的系统误差，从而克服现有圆度仪的精度限制。然而，到目前为止，还没有一种严格有效的方法来评估ES技术的测量不确定度。为了达到ES技术的最高精度，本文研究了两步圆度测量中的不确定性，包括建模、量化和不确定性传播的缓解。首先，通过计算圆度函数的拉普拉斯变换对角度的偏导数，解析导出了角度不确定性的传播规律。根据不确定度传播规律，可以定量地评价测量不确定度。此外，提出了抑制不确定度传播的方法，既能完全消除被抑制的谐波，又能大幅度降低测量不确定度。最后，通过蒙特卡罗模拟和试验测量进行了验证。(C) 2020 Elsevier Ltd.版权所有。
Error separation (ES) techniques can eliminate the systematic error caused by the rotary table, and thus, overcome the accuracy limit of state-of-the-art roundness instruments. However, up to now, no rigorous and effective approaches are available for evaluating the measurement uncertainty in ES techniques. To achieve the highest precision of ES techniques, this paper investigates the uncertainty in the two-step roundness measurements, including modeling, quantification, and mitigation of the uncertainty propagation. First, the law of propagation of angle uncertainty is analytically derived by calculating the partial derivative of the Laplace transform of roundness function with respect to the angle. Based on the uncertainty propagation law, the measurement uncertainty can be evaluated quantitatively. Moreover, for inhibiting the uncertainty propagation, approaches are proposed, which not only eliminate the suppressed harmonics completely but also reduce the measurement uncertainty substantially. Finally, Monte Carlo simulations and test measurements are both performed for verification. (C) 2020 Elsevier Ltd. All rights reserved.