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Proceedings Paper

Uncertainty evaluation for a three dimensional rotary measuring system by Markov chain Monte Carlo method
Author(s): Bo Chen; Xiangchao Zhang; Hao Zhang; Xiaoying He; Min Xu
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Paper Abstract

Uncertainty evaluation, which is an effort to set reasonable bounds for the measurement results, is important for assessing the performances of precision measuring systems. The three dimensional measurement is affected by a large number of error sources. The distributions of the primary error sources are analyzed in this paper. The multiple-try Metropolis (MTM) algorithm is applied for sampling and propagation of uncertainty for these error sources due to its advantage in dealing with large dimensional problems. The uncertainties of the three coordinates of a measured point on the workpiece r, z, and θ are evaluated before and after error separation, respectively. The differences between the two types of uncertainties are compared to find out the influence of the error separation to the uncertainty. Finally, numerical experiments are implemented to demonstrate the uncertainty assessment process.

Paper Details

Date Published: 10 October 2013
PDF: 13 pages
Proc. SPIE 8916, Sixth International Symposium on Precision Mechanical Measurements, 891621 (10 October 2013); doi: 10.1117/12.2035834
Show Author Affiliations
Bo Chen, Fudan Univ. (China)
Xiangchao Zhang, Fudan Univ. (China)
Hao Zhang, Fudan Univ. (China)
Xiaoying He, Fudan Univ. (China)
Min Xu, Fudan Univ. (China)


Published in SPIE Proceedings Vol. 8916:
Sixth International Symposium on Precision Mechanical Measurements
Shenghua Ye; Yetai Fei, Editor(s)

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