基于高斯滤波下的粗糙度不确定度的计算
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摘要
自由曲面的粗糙度的大小直接反映了表面加工质量的优劣.粗糙度的提取可以通过滤波过程来实现,本文选取高斯滤波来确定粗糙度评定中线,高斯滤波可以得到较为准确的粗糙度.本文将粗糙度评定中线根据波峰和波谷的位置在其临近部分分段模拟为二次曲线,最终分别得到波峰和波谷段的粗糙度评定中线的表达式.在此基础上,建立了关于粗糙度Rz的数学模型.随后采用"测量不确定度的标准指南"(GUM)来计算粗糙度的不确定度,并采用自适应蒙特卡罗方法(AMCM)来进行比较,得出了高斯滤波模型下通过GUM法来计算粗糙度不确定度是一种有效的方法.
The roughness of free-form surface directly reflects the quality of surface machining. The extraction of roughness can be achieved by filtering. In this paper,Gaussian filter is selected to determine the assessment middle line of roughness.Gaussian filter can obtain the accurate roughness. In this paper,the assessment middle lines are simulated into quadratic curves according to the adjacent parts of wave peak and valley. Based on this,the mathematical model of roughness Rz is established. Then,the "Guide to the expression of uncertainty in measurement"(GUM) is adopted to calculate the uncertainty of roughness,and it is compared with the Adaptive Monte Carlo method(AMCM). The GUM method is an effective method to calculate roughness uncertainty based on the Gaussian filter model.
The roughness of free-form surface directly reflects the quality of surface machining. The extraction of roughness can be achieved by filtering. In this paper,Gaussian filter is selected to determine the assessment middle line of roughness.Gaussian filter can obtain the accurate roughness. In this paper,the assessment middle lines are simulated into quadratic curves according to the adjacent parts of wave peak and valley. Based on this,the mathematical model of roughness Rz is established. Then,the "Guide to the expression of uncertainty in measurement"(GUM) is adopted to calculate the uncertainty of roughness,and it is compared with the Adaptive Monte Carlo method(AMCM). The GUM method is an effective method to calculate roughness uncertainty based on the Gaussian filter model.
引文
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[2]陈澍我,王信义,姚振远.接触式表面粗糙度在线测量装置[J].金刚石与磨料磨具工程,1986(6):38-40.
[3]许景波,袁怡宝,朴伟英,等.表面粗糙度测量中的高斯滤波快速算法[J].计量学报,2005,26(4):309-312.
[4]王晓强,梅倩倩,崔凤奎,等.高斯滤波技术提取表面粗糙度信息[J].机械设计与制造,2016(2):113-116.
[5]李锡金.测量不确定度评定中A类不确定度的合理评定[J].现代农业装备,2010(5):45-47.
[6]Arencibia R V,Souza C C,Costa H L,et al.Simplified model to estimate uncertainty in CMM[J].Journal of the Brazilian Society of Mechanical Sciences&Engineering,2015,37(1):411-421.
[7]Du Z,Zhu M,Wu Z,et al.Measurement uncertainty on the circular features in coordinate measurement system based on the error ellipse and Monte Carlo methods[J].Measurement Science&Technology,2016,27(12):125016.
[8]Nam G,Kang C S,So H Y,et al.An uncertainty evaluation fo r multiple measurements by GUM,III:using correlation coefficient[J].Accreditation&Quality Assurance,2009,14(1):43-47.
[9]Forbes A B.An MCMC algorithm based on GUM supplement 1 for uncertainty evaluation[J].Measurement,2012,45(5):1188-1199.
[10]方兴华,宋明顺,顾龙芳,等.基于自适应蒙特卡罗方法的测量不确定度评定[J].计量学报,2016,37(4):23-27.
[11]Wen X L,Zhao Y B,Wang D X,et al.Adaptive Monte Carlo and GUM methods for the evaluation of measurement uncertainty of cylindricity error[J].Precision Engineering,2013,37(4):856-864.
[12]曹芸,陈怀艳,韩洁.采用MCM对GUM法测量不确定度评定的验证方法研究[J].宇航计测技术,2012,32(2):75-78.
[2]陈澍我,王信义,姚振远.接触式表面粗糙度在线测量装置[J].金刚石与磨料磨具工程,1986(6):38-40.
[3]许景波,袁怡宝,朴伟英,等.表面粗糙度测量中的高斯滤波快速算法[J].计量学报,2005,26(4):309-312.
[4]王晓强,梅倩倩,崔凤奎,等.高斯滤波技术提取表面粗糙度信息[J].机械设计与制造,2016(2):113-116.
[5]李锡金.测量不确定度评定中A类不确定度的合理评定[J].现代农业装备,2010(5):45-47.
[6]Arencibia R V,Souza C C,Costa H L,et al.Simplified model to estimate uncertainty in CMM[J].Journal of the Brazilian Society of Mechanical Sciences&Engineering,2015,37(1):411-421.
[7]Du Z,Zhu M,Wu Z,et al.Measurement uncertainty on the circular features in coordinate measurement system based on the error ellipse and Monte Carlo methods[J].Measurement Science&Technology,2016,27(12):125016.
[8]Nam G,Kang C S,So H Y,et al.An uncertainty evaluation fo r multiple measurements by GUM,III:using correlation coefficient[J].Accreditation&Quality Assurance,2009,14(1):43-47.
[9]Forbes A B.An MCMC algorithm based on GUM supplement 1 for uncertainty evaluation[J].Measurement,2012,45(5):1188-1199.
[10]方兴华,宋明顺,顾龙芳,等.基于自适应蒙特卡罗方法的测量不确定度评定[J].计量学报,2016,37(4):23-27.
[11]Wen X L,Zhao Y B,Wang D X,et al.Adaptive Monte Carlo and GUM methods for the evaluation of measurement uncertainty of cylindricity error[J].Precision Engineering,2013,37(4):856-864.
[12]曹芸,陈怀艳,韩洁.采用MCM对GUM法测量不确定度评定的验证方法研究[J].宇航计测技术,2012,32(2):75-78.