自校准的多倍体:不确定度评估,实验测量和蒙特卡罗模拟

J. Guillory, D. Truong, J. Wallerand
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引用次数: 4

摘要

大批量计量对许多高价值行业至关重要,并有助于未来的工厂。在此背景下,我们开发了一种基于自校准多倍体技术的三维坐标测量系统。在实际操作中,一个绝对距离计,可追溯到SI米,通过光纤连接在四个测量头之间共享。然后从这些台站对几个目标位置进行多次距离测量,最后确定这些目标的坐标。这些距离测量的不确定度已经用一致的计量方法确定,并且优于5µm。然而,将这种不确定性传播到测量位置并不是一项微不足道的任务。本文给出了自定标多倍体条件下目标和头部位置不确定性评估的解析解。然后将所提出的解决方案与蒙特卡罗模拟和实验测量进行比较:结果表明,所有三种方法都很一致,这表明所提出的分析模型是准确的。解析解给出的置信椭球体很好地描述了误差的几何形状。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Multilateration with Self-Calibration: Uncertainty Assessment, Experimental Measurements and Monte-Carlo Simulations
Large-volume metrology is essential to many high-value industries and contributes to the factories of the future. In this context, we have developed a tri-dimensional coordinate measurement system based on a multilateration technique with self-calibration. In practice, an absolute distance meter, traceable to the SI metre, is shared between four measurement heads by fibre-optic links. From these stations, multiple distance measurements of several target positions are then performed to, at the end, determine the coordinates of these targets. The uncertainty on these distance measurements has been determined with a consistent metrological approach and it is better than 5 µm. However, the propagation of this uncertainty into the measured positions is not a trivial task. In this paper, an analytical solution for the uncertainty assessment of the positions of both targets and heads under a multilateration scenario with self-calibration is provided. The proposed solution is then compared to Monte-Carlo simulations and to experimental measurements: it follows that all three approaches are well agreed, which suggests that the proposed analytical model is accurate. The confidence ellipsoids provided by the analytical solution described well the geometry of the errors.
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