基于圆/柱度仪的回转体两点尺寸测量方法研究

doi:10.3969/j.issn.1000-1158.2023.06.04

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摘要提出了一种基于圆/柱度仪的回转体两点尺寸测量的方法。建立了基于标准圆柱直径的圆/柱度仪径向尺寸测量系统误差模型;以最小二乘圆圆心为坐标原点和最小二乘圆圆心与第一个采样点的连线为x轴向,建立新的坐标系。通过坐标平移和旋转,将原坐标系中各采样点的坐标转换到新的坐标系中的坐标,并将其转换成相应的极坐标值;基于这些极坐标值,建立其三次样条插值方程,并由其确定圆柱体的两点尺寸。给出了回转体两点尺寸测量与评定的流程,用所编制的程序对在圆柱度仪上提取的圆柱体要素的轮廓进行了两点尺寸评定与统计分析。该研究将为符合GB/T 24637.3定义的回转体两点尺寸提供一种可行的测量方法。

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	赵则祥
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关键词 ：计量学, 两点尺寸, 圆/柱度仪, 回转体, 最小二乘圆, 坐标变换, 三次样条插值

Abstract：A measuring method of two-point size for revolving body based on the roundness/cylindricity measuring instrument was proposed. The model of the measurement system error for the radial size of the roundness/cylindricity measuring instrument was built based on the calibrated diameter of a standard cylinder. A new coordinate system was established by taking the center of the least square circle as its origin and the line connecting the center of the least square circle with the first sampling point as the x axis. Through coordinate translation and rotation, the coordinates of the sampling points in the original coordinate system were converted to the coordinates in the new coordinate system, and the corresponding polar coordinate values were converted. Based on the polar coordinate values above, their cubic spline interpolation equation for determining the two-point sizes of revolving body was built, and the flow chart of measuring and evaluating two-point size for revolving body was given. The evaluation of two-point sizes of the profiles of the cylinder features extracted on the cylindricity instrument was carried out by using the developed program. The mentioned research will provide a feasible measurement method for measuring two-point sizes of revolving body, which accords with the definition of the two-point size in GB/T 24637.3.

收稿日期: 2022-04-27 发布日期: 2023-06-25

PACS:

TB921

基金资助:国家自然科学基金(51975598)

作者简介: 赵则祥(1958-),男,河南通许人,中原工学院机电学院教授,主要从事精密测量技术与仪器、精密制造技术与装备及标准化研究。Email:zexiang_zhao@zut.edu.cn

引用本文:

赵则祥,王帅飞,赵新宇. 基于圆/柱度仪的回转体两点尺寸测量方法研究[J]. 计量学报, 2023, 44(6): 858-864.
ZHAO Ze-xiang,WANG Shuai-fei,ZHAO Xin-yu. Study on the Measuring Method of Two-point Sizes for Revolving Body Based on the Roundness/Cylindricity Measuring Instrument. Acta Metrologica Sinica, 2023, 44(6): 858-864.

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http://jlxb.china-csm.org:81/Jwk_jlxb/CN/10.3969/j.issn.1000-1158.2023.06.04 或 http://jlxb.china-csm.org:81/Jwk_jlxb/CN/Y2023/V44/I6/858

［2］	GB/T 24637. 3-2020 产品几何技术规范(GPS)通用概念第3部分: 被测要素［S］.
［5］	屈玉福, 王中宇, 左思然, 等. 圆柱体体积测量不确定度计算的探究［J］. 计量学报, 2018, 39(z1): 53-57.
	Sheng D L, Hao J, Sheng Q Y, et al.Sphericity Evalution Method Based on Quick Seearch of Spherical Center［J］Acta Metrologica Sinica, 2023,44(1):49-53.
	Li J S, Lei X Q, Xue Y J, et al. Evaluation Algorithm of Cylindricity Error Based on Coordinate Transformation［J］. China Mechanical Engineering, 2009, 20(16):: 1983-1987.
［4］	梁志国. 非均匀采样条件下残周期正弦波形的最小二乘拟合算法［J］. 计量学报, 2021, 42(3): 358-364.
［6］	Wang H. On extended progressive and iterative approximation for least squares fitting ［J］. The Visual Computer, 2022, 38(3): 591-602.
［9］	Abdulmohsin H A, Wahab H B A, Hossen A M J A. A Novel Classification Method with Cubic Spline Interpolation［J］. Intelligent Automation and Soft Computing, 2022, 31(1): 339-355.
［12］	Liu D, Wang Y, Tang Z, et al. A robust circle detection algorithm based on top-down least-square fitting analysis［J］. Computers and Electrical Engineering, 2014, 40(4): 1415-1428.
［15］	盛东良,詹剑良,朱丹.一种快速搜索圆心的圆度新算法.计量学报, 2022,43(6):725-729.
［3］	岳龙龙, 黄强先, 梅腱, 等. 基于最小包容区域法的圆度误差评定方法［J］. 机械工程学报, 2020, 56(4): 42-48.
［7］	Chernov N. Circular and Linear Regression［M］. Boca Raton: Taylor and Francis, 2010.
［10］	Wang A C, Ji L, Teng Y N, et al. Study on Assessment Method and Statistical Distribution of Roundness Error［J］. Applied Mechanics and Materials, 2010, 37(1): 1265-1272.
	Sheng D L, Zhan J L, Zhu D. A New Algorithm for Circularity Based on Fast Searching the Center［J］.Acta Metrologica Sinica, 2022,43(6):725-729.
［17］	吴文明, 高立民, 吴易明, 等. 利用三次样条插值提高自准直仪的准确度［J］. 光子学报, 2007, 36(8): 1561-1564.
［1］	GB/T 38762.1-2020 产品几何技术规范(GPS)尺寸公差第1部分: 线性尺寸［S］.
［8］	Chernov N, Lesort C. Least Squares Fitting of Circles［J］. Journal of Mathematical Imaging and Vision, 2005, 23(3): 239-252.
［16］	李济顺, 雷贤卿, 薛玉君, 等. 基于坐标变换的圆柱度误差评定算法［J］. 中国机械工程, 2009, 20(16): 1983-1987.
	Qu Y F, Wang Z Y, Zuo S R, et al. Question on Calculation of Uncertainty in Measurement of Cylinder Volume. ［J］. Acta Metrologica Sinica, 2018, 39(z1): 53-57.
［14］	Zhao S Z. Evaluation of Roundness Error Based on the Position of the Centers［J］. Applied Mechanics and Materials, 2013, 470(1): 420-424.
	Yue L L, Huang Q X, Mei J, et al. Method for Roundness Error Evaluation Based on Minimum Zone Method ［J］. Journal of Mechanical Engineering, 2020, 56 (4): 42-48.
	Liang Z G. The Sinewave Fit Algorithm Based on Total Least -square Method with Partial Period Waveforms and non-uniform sampling. ［J］. Acta Metrologica Sinica, 2021, 42 (3): 358-364.
［11］	Liu W W, Fu J S, Wang B, et al. Five-point cylindricity error separation technique［J］. Measurement, 2019, 145(1): 311-322.
［13］	盛东良,郝娟,盛庆元,等.基于快速搜索球心的球度评定方法［J］.计量学报, 2023,44(1):49-53.
	Wu W M, Gao L M, Wu Y M, et al. Improving Precistion of Autocollimation with Cubic Spline Interpolation Functions［J］. Journal of Photonics, 2007, 36(8): 1561-1564.