An Improved Measurement Uncertainty Calculation Method of Profile Error for Sculptured Surfaces

被引：0
作者：
Chenhui Liu
Zhanjie Song
Yicun Sang
Gaiyun He
机构：
[1] Tianjin University,Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education
[2] Tianjin University,School of Mathematics
来源：
Chinese Journal of Mechanical Engineering | 2019年 / 32卷
关键词：
Second-order GUMM; Adaptive Monte Carlo method; Uncertainty; Converge factor;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The current researches mainly adopt “Guide to the expression of uncertainty in measurement (GUM)” to calculate the profile error. However, GUM can only be applied in the linear models. The standard GUM is not appropriate to calculate the uncertainty of profile error because the mathematical model of profile error is strongly non-linear. An improved second-order GUM method (GUMM) is proposed to calculate the uncertainty. At the same time, the uncertainties in different coordinate axes directions are calculated as the measuring points uncertainties. In addition, the correlations between variables could not be ignored while calculating the uncertainty. A k-factor conversion method is proposed to calculate the converge factor due to the unknown and asymmetrical distribution of the output quantity. Subsequently, the adaptive Monte Carlo method (AMCM) is used to evaluate whether the second-order GUMM is better. Two practical examples are listed and the conclusion is drawn by comparing and discussing the second-order GUMM and AMCM. The results show that the difference between the improved second-order GUM and the AMCM is smaller than the difference between the standard GUM and the AMCM. The improved second-order GUMM is more precise in consideration of the nonlinear mathematical model of profile error.
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  • [1] Li Y(2004)Free-form surface inspection techniques state of the art review Computer-Aided Design 36 1395-1417
  • [2] Gu P(2016)Least squares evaluations for form and profile errors of ellipse using coordinate data Chinese Journal of Mechanical Engineering 29 1020-1028
  • [3] Liu F(2015)The minimum zone evaluation for elliptical profile error based on the geometry optimal approximation algorithm Measurement 75 284-288
  • [4] Xu G(2016)Profile deviation evaluation of large gears based on NURBS surface fitting Chinese Journal of Scientific Instrument 37 533-539
  • [5] Liang L(2016)Matching algorithm for profile error calculation of blade surface Advanced Materials Research 1136 630-635
  • [6] Lei XQ(2017)Profile error evaluation of free-form surface using sequential quadratic programming algorithm Precision Engineering 47 344-352
  • [7] Gao ZB(1959)Geometrical product specifications (GPS): coordinate measuring machines (CMM): technique for determining the uncertainty of measurement Measurement Techniques 2 915-919
  • [8] Cui JW(2007)Design and analysis of experiments in CMM measurement uncertainty study Precision Engineering 31 94-101
  • [9] Zhaoyao S(2002)Measurement uncertainty according to ISO/BIPM-GUM Thermochimica Acta 382 1-16
  • [10] Yang X(2017)A unified approach for squeal instability analysis of disc brakes with two types of random-fuzzy uncertainties Mechanical Systems & Signal Processing 93 281-298
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