Dr. Fengxia Zhao Profile

Dr. Fengxia Zhao

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Proceedings Article | 28 December 2010 Paper

Estimation of the uncertainty propagation in verification operator of cylindricity errors

Fengxia Zhao, Linna Zhang, Peng Zheng

Proceedings Volume 7544, 75440B (2010) https://doi.org/10.1117/12.885336

KEYWORDS: Error analysis, Global Positioning System, Gaussian filters, Feature extraction, Mathematical modeling, Statistical analysis, Mechanical engineering, Standards development, Instrumentation engineering, Precision measurement

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According to the operation and operator theory in the new generation geometrical product specification (GPS), the verification operator of cylindricity errors is an ordered set of several feature operations, including partition, extraction, filtration, association, and so on. Each feature operation contains some uncertainty due to the variability of measurement process and the incompleteness of ISO specification, and the uncertainty in previous operation can be transferred to the subsequent operation, resulting in cylindricity errors with high uncertainty. To ensure accurate evaluation of cylindricity errors, a method is proposed for estimation of uncertainty propagation in verification operators of cylindricity errors based on the new generation GPS. By investigating the propagation model of the uncertainty of cylindricity errors, the calculation formulas for the uncertainty propagation of key feature operations in operator, such as association operation and filtration operation, are proposed. The uncertainty calculation expression is developed for the choice of verification operators of cylindricity errors. The effects of filtration operation and association operation on the uncertainty of cylindricity errors are further verified through a case study. Test results indicate that the proposed method can not only improve the veracity of evaluation, but also provide helpful guidance for the reasonable choice of verification operators of cylindricity errors.

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