Uncertainty calculation of Ra based on information entropy principle

Yan-ru Zhong; Yu-jin Zhao; De-wei Guo; Mei-fa Huang

doi:10.1117/12.819752

31 December 2008 Uncertainty calculation of R_a based on information entropy principle

Yan-ru Zhong, Yu-jin Zhao, De-wei Guo, Mei-fa Huang

Proceedings Volume 7130, Fourth International Symposium on Precision Mechanical Measurements; 71305C (2008) https://doi.org/10.1117/12.819752
Event: Fourth International Symposium on Precision Mechanical Measurements, 2008, Anhui, China

Abstract

Uncertainty in verification results of R_a (arithmetic mean deviation specification) of surface roughness is usually not considered in actual measurement and evaluation processes. To overcome this problem, a new method for calculation of expanded uncertainty of R_a is proposed to assure the integrity and validity in verification results in terms of new generation of international GPS (geometrical product specifications and verification) standards. The method calculates basic verification results of R_aof surface roughness by using principle of least-square. And the expanded uncertainty of verification results is computed by the relations between information entropy and uncertainty. With the measured result, the measured parts can be judged if it is acceptable by using the decision rules provided by standard ISO 14253-1. Finally, the comparison is given between expanded uncertainty and combined standard uncertainty through using a tested practical measured part. The combined standard uncertainty is computed according to the propagation formula given by standard ISO 14253-2. Experiment results indicate that expanded uncertainty can be immediately computed by Information Entropy Principle. Thus the decision can be made whether to accept or to reject the measured component by the result of R_a and uncertainty. Therefore, this method could reduce the probability both for mis-acceptance rate and the mis-rejection rate of the measured parts.

Citation Download Citation

Yan-ru Zhong, Yu-jin Zhao, De-wei Guo, and Mei-fa Huang "Uncertainty calculation of R_a based on information entropy principle", Proc. SPIE 7130, Fourth International Symposium on Precision Mechanical Measurements, 71305C (31 December 2008); https://doi.org/10.1117/12.819752

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