Sampling strategy for free-form surface inspection by using coordinate measuring machines

WEN Xiu-lan; WANG Dong-xia; ZHU Xiao-chun; ZHAO Yi-bing

doi:10.3788/OPE.20142210.2725

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Sampling strategy for free-form surface inspection by using coordinate measuring machines

更新时间：2020-08-13

- Sampling strategy for free-form surface inspection by using coordinate measuring machines
- Optics and Precision Engineering Vol. 22, Issue 10, Pages: 2725-2732(2014)
- 作者机构：
  
  南京工程学院自动化学院,江苏南京,211167
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20142210.2725
  CLC： TH72;TP391
- Received：27 November 2013，
  
  Revised：18 February 2014，
  
  Published：25 October 2014
- 稿件说明：
移动端阅览
温秀兰, 王东霞, 朱晓春等. 基于坐标测量机的自由曲面检测采样策略[J]. 光学精密工程, 2014,22(10): 2725-2732

WEN Xiu-lan, WANG Dong-xia, ZHU Xiao-chun etc. Sampling strategy for free-form surface inspection by using coordinate measuring machines[J]. Editorial Office of Optics and Precision Engineering, 2014,22(10): 2725-2732
温秀兰, 王东霞, 朱晓春等. 基于坐标测量机的自由曲面检测采样策略[J]. 光学精密工程, 2014,22(10): 2725-2732 DOI： 10.3788/OPE.20142210.2725.

WEN Xiu-lan, WANG Dong-xia, ZHU Xiao-chun etc. Sampling strategy for free-form surface inspection by using coordinate measuring machines[J]. Editorial Office of Optics and Precision Engineering, 2014,22(10): 2725-2732 DOI： 10.3788/OPE.20142210.2725.

摘要

为了实现自由曲面快速精确的检测和评定

研究了检测过程涉及的采样策略.提出采用随机Hamersley采样、简单随机采样和列系统采样3种方法设置自由曲面上的测量点.采用拟粒子群算法优化变换参数

实现被测曲面与设计曲面之间的定位

采用曲面细分法搜索设计模型上与被测点距离最近点以计算自由曲面轮廓度误差.为了对基于坐标测量机(CMM)在不同采样策略下的检测结果进行比较

采用非均匀有理B样条生成零件设计模型

选择相同的加工工艺在不同的加工中心加工多个零件得到粗糙度不同的自由曲面.最后

使用CMM在所设计的采样策略下实测零件

用提出的方法计算零件的轮廓度误差

并与CMM内置软件的计算结果进行比较.实验结果显示:选择随机Hammersley采样法和中等采样点数的采样策略检测效果最佳

不仅测量精度高

而且耗时少、成本低.应用提出的方法计算自由曲面轮廓度误差时

其精度比由CMM内置软件计算结果高10%~22%

表明提出的方法适用于自由曲面零件轮廓度误差的快速精确检测与评定.

Abstract

To inspect and evaluate free-form surface(FFS) parts rapidly and precisely

the sampling strategies involved in inspecting processing were researched. Three kinds of sampling methods

randomized Hamersley sampling

simple random sampling and aligned systematic sampling were proposed to specify a set of measuring points and a quasi particle swarm optimization searching was used to optimize the transformation parameters to implement the localization between measured FFS and designed FFS. Then

the surface subdivision method was taken to find the closest points on the design model corresponding to measured points to calculate the profile errors of the FFS. In order to compare the results of different sampling strategies

design models for parts were generated by non-uniform rational basis spline and some parts were manufactured on different machining centers to obtain the surfaces of different roughnesses based on the same processing technology. Finally

these parts were measured on a Coordinate Measuring Machine(CMM) by setting different sampling strategies and the profile errors were calculated by the proposed method and CMMs software

respectively. The experiments results verify that the best sampling strategy for FFS inspection is the randomized Hamersley sampling method and a medium size. It has the merits of higher precision

lower cost and less time. Moreover

the evaluation precision of FFS profile error computed by the proposed method is higher 10%-22% than that by CMM software. These results show that the proposed method is suitable for the profile error inspection of FFS parts rapidly and precisely.

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references

李松原,胡鹏浩. 并联坐标测量机结构优化[J]. 光学精密工程,2013,21(11):2852-2859. LI S Y,HU P H.Structure optimization of parallel CMM[J].Opt. Precision Eng., 2013,21(11):2852-2859. (in Chinese)

石照耀,张宇,张白 .三坐标机测量齿轮齿廓的不确定度评价[J]. 光学精密工程, 2012, 20(4):766-771. SHI ZH Y,ZHANG Y,ZHANG B.Uncertainty eraluation of CMM measurement for gear profile[J].Opt. Precision Eng.,2012, 20(4):766-771.(in Chinese)

RAMASWAMI H, ACHARYA S B, KOVVUR Y, et.al.. A multivariate statistical analysis of sampling uncertainties in geometric and dimensional errors for circular features [J]. Journal of Manufacture Systems, 2006, 25(2):78-93.

LEE G, MOU J, SHEN Y. Sampling strategy design for dimensional measurement of geometric features using coordinate measuring machine [J]. International Journal of Machine Tools & Manufacture, 1997,37(7):917-934.

KIM WS, RAMAN S. On the selection of flatness measurement points in coordinate measuring machine inspection [J]. International Journal of Machine Tool & Manufacture, 2000, 40 (3): 427-443.

BADAR MA, RAMAN S, PULAT PS, et al.. Experimental analysis of search-based selection of sample points for straightness and flatness estimation[J]. Journal of Manufacturing Science and Engineering, 2005,127(1):96-103.

董玉德,汪玉玺,刘达新,等. 三角平面Halton 点采样策略及其性能分析[J]. 计算机辅助设计与图形学学报,2007,19(8):1063-1068. DONG Y D,WANG Y X, LIU D X,et al.. Halton points sampling strategy and performance analysis for triangle plane [J]. Journal of Computer-aided Design & Computer Graphics, 2007,19(8):1063-1068. (in Chinese)

RAGHUNANDAN R, RAO P V. Selection of sampling points for accurate evaluation of flatness error using coordinate measuring machine [J]. Journal of Materials Processing Technology, 2008, 202(1-3):240-245.

COLOSIMO B M, GUTIERREZ M E, MORONI G, et al.. A tolerance interval based criterion for optimizing discrete point sampling strategies [J]. Precision Engineering, 2010, 34(4):745-754.

WANG X C, YU Y. An approach to interference-free cutter position for five-axis free-form surface side finishing milling[J]. Journal of Materials Processing Technology, 2002,123(1):191-196.

XU R F, CHEN ZH T, CHEN W Y. Tool positioning algorithm based on smooth tool paths for 5-axis machining of sculptured surfaces[J]. Chinese Journal of Mechanical Engineering, 2011, 24(5): 851-858.

陈满意,刘玉慧. 基于形状特征的自由曲面采样算法的研究[J]. 机械设计与制造,2011,3:190-192. CHEN M Y, LIU Y H. Research on sampling strategy for free-form surfaces based on shape features[J]. Machinery Design & Manufacture, 2011, 3:190-192. (in Chinese)

LI Y, GU P H. Automatic localization and comparison for free-form surface inspection[J]. Journal of Manufacturing Systems, 2006, 25(4):251-268.

BALASUBRAMANIAN S, GU P. A neural network approach to localization of parts with complex surfaces for precision inspection [C]//Proceeding of 1995 ASME Computers in Engineering Conference, Boston, America, September 17-20, 1992: 1025-1031.

王东善,李明,卓军. 一种自由曲面面轮廓度误差评定方法[J]. 机械设计与制造, 2004, 1:64-66. WANG D SH, LI M, ZHUO J. An evaluation method of free-form profile error[J]. Machinery Design & Manufacture, 2004, 1: 64-66. (in Chinese)

廖平,喻寿益. 基于遗传算法的复杂曲面形状误差计算[J]. 机械科学与技术,2004,23(1):46-49. LIAO P,YU SH Y. Calculating of complex surface form error based on genetic algorithm with canonicity real number encoding[J]. Mechanical science and technology, 2004,23(1):46-49.

郭慧,林大钧. 基于微粒群算法的复杂曲面轮廓度误差计算[J]. 东华大学学报. 2008, 34(3): 274-277. GUO H, LIN D J. Profile error computation of complicated surface based on particle swarm optimization [J]. Journal of Donghua University(Natural Science), 2008, 34(3):274–277. (in Chinese)

杜建军,高栋,孔令豹,等. 光学自由曲面误差评定中匹配方法的研究[J]. 光学精密工程,2006,14(1):133-138. DU J J, GAO D, KONG L B, et al..Study of matching methods for error evaluation of optical free-form surface [J]. Opt. Precision Eng., 2006,14(1):133-138. (in Chinese)

ZHANG Z. Iterative point matching for registration of freeform curves and surfaces [J]. International Journal of Computer Vision, 1994, 13(2):119-152.

CAMPELL R J, FLYNN P J. A survey of free-form object representation and recognition techniques [J]. Computer Vision and Image Understanding, 2001, 81(1): 166-210.

宋占杰,张美,何改云,等. 基于质心Voronoi 结构的自由曲面采样策略[J]. 吉林大学学报(工学版),2012.42:2-8. SONG ZH J,ZHANG M,HE G Y,et al..Sculptured surface point distribution strategy based on centroidal voronoi tesssellation[J].Journal of Jilin University (Engineering and Technology Edition),2012.42:2-8. (in Chinese)

何改云,贾红洋. 基于CAD 模型的自由曲面自适应采样策略[J]. 电子测量与仪器学报,2012,26(10):835-840. HE G Y, JIA H Y. Adaptive sampling strategy for free-form surface based on CAD model, Journal of Electronic Measurement and Instrument[J].Journal of Electronic Measurement and Instrument,2012,26(10):835-840 (in Chinese)

BALAKRISHNA P, RAMAN S. An integrated approach for the estimation of spherical form tolerance [J]. Journal of Manufacturing Systems, 2006, 25(3):172-183.

http://en.wikipedia.org/wiki/Sampling_(statistics)[OL].

ZHANG Y F, NEE A, FUH J, et al.. A neutral network approach to determining optimal inspection sampling size for CMM [J]. Computer Integrated Manufacturing Systems, 1996, 9(3):161-169.

LES P, WAYNE T. The NURBS book (Second Edition) [M]. New York: Springer-Verlag, 2010.

CHEUNG C F, LI HF, KONG L B, et al.. Measuring ultra-precision freeform surfaces using a robust form characterization method[J]. Measurement Science and Technology, 2006, 17(1):488-494.

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