Method of compensating for instrumental uncertainty in measurements using a coordinate measuring ARM

A. Zaporozhets, Denis Kataiev
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Abstract

Due to the influence of dynamic factors in various measurement configurations, the degree of uncertainty in measurements using a Coordinate Measuring Arm (CMA) is directly related to the measurement configuration. However, existing models for compensating CMA errors do not account dynamic factors, which impose certain limits for improving the accuracy of CMAs. To solve this issue, a method for residual error correction based on a polynomial model for single-point measurements was proposed. The influence of the CMA configuration on the residual probe error was analyzed. To enhance accuracy, a polynomial model has been developed by studying the relationship between the rotation angles of the CMA's moving elements and the probe coordinates in a cylindrical coordinate system. Experimental results demonstrate that the residual error correction method significantly compensates for instrumental uncertainty, greatly improving the accuracy of measurements using CMAs. Keywords: coordinate measuring arm, measurement error, coordinate measurements, calculation method, single-point residual correction, compensation.
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使用坐标测量 ARM 补偿测量中仪器不确定性的方法
由于各种测量配置中动态因素的影响,使用坐标测量臂(CMA)进行测量时的不确定度与测量配置直接相关。然而,现有的 CMA 误差补偿模型没有考虑动态因素,这对提高 CMA 的精度造成了一定限制。为了解决这个问题,我们提出了一种基于多项式模型的单点测量残余误差修正方法。分析了 CMA 配置对探头残余误差的影响。为了提高精度,通过研究 CMA 移动元件的旋转角度与圆柱坐标系中探头坐标之间的关系,建立了一个多项式模型。实验结果表明,残余误差修正方法能够显著补偿仪器的不确定性,从而大大提高了使用坐标测量臂进行测量的精度。关键词:坐标测量臂;测量误差;坐标测量;计算方法;单点残差修正;补偿。
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