Volume 48 Issue 5
May  2019
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Zhong Yilin, Wu Enqi, Cai Xiaoyu, Wei Jiasi, Lei Lihua. Diameter measurement based on improved three-point method[J]. Infrared and Laser Engineering, 2019, 48(5): 517008-0517008(6). doi: 10.3788/IRLA201948.0517008
Citation: Zhong Yilin, Wu Enqi, Cai Xiaoyu, Wei Jiasi, Lei Lihua. Diameter measurement based on improved three-point method[J]. Infrared and Laser Engineering, 2019, 48(5): 517008-0517008(6). doi: 10.3788/IRLA201948.0517008

Diameter measurement based on improved three-point method

doi: 10.3788/IRLA201948.0517008
  • Received Date: 2018-12-10
  • Rev Recd Date: 2019-01-17
  • Publish Date: 2019-05-25
  • The roundness error separation technique of three-point method was widely used in the separation algorithm for roundness error of part shapes and rotation error of motors. The key of accurate separation in roundness error depended on setting the angles of three displacement sensor probes logically, in order to avoid that the denominator of transfer function became zero. However, during the process of specific implementation, the angle setting error of displacement sensor probes inevitably existed, which made analyzing the influence of angle setting error become much more important. Based on the classical model of three-point method, and then a new model was presented for analyzing the angle setting error of displacement sensor probes. Taking the diameter results in measuring roundness through three-point method as the goal, according to different parameter settings in actual working situations, the error of measuring results caused by the angle setting error of displacement sensor probes was quantitatively analyzed. Lastly, using capacitive displacement sensor to carry out the research on measuring diameter of circular parts, the effectiveness of error analysis was confirmed in this article and the repeatability accuracy of measuring diameter which can be less than 2 m.
  • [1] Aoki Yasuo, Ozono Shigeo. On a new method of roundness measurement based on the three-point method[J]. Journal of the Japan Society of Precision Engineering, 1966, 32(12):27-32.
    [2] Ma Yuzhen, Wang Xinhua, Kang Yanhui, et al. Roundness measurement and error separation technique[J]. Applied Mechanics and Materials, 2013, 303-306:390-393.
    [3] Whitehouse D J. Some theoretical aspects of error separation technique in surface metrology[J]. Journal of Physics E Scientific Instruments, 1976, 9(7):531-536.
    [4] Gao Wei, Kiyono Satoshi. High-accuracy roundness measurement by a new error separation method[J]. Precision Engineering, 1997, 21(2-3):123-133.
    [5] Hong Maisheng, Deng Zhonghuang, Chen Jianqiang, et al. Accurate time domain three point method for error separation of roundness[J]. Journal of Shanghai Jiaotong University, 2000, 34(10):1317-1319. (in Chinese)洪迈生, 邓宗煌, 陈健强, 等. 精确的时域三点测量法圆度误差分离技术[J]. 上海交通大学学报, 2000, 34(10):1317-1319.
    [6] Lei Xianqing, Zhang Chunyang, Xue Yujun, et al. Roundness error evaluation algorithm based on polar coordinate transform[J]. Measurement, 2011, 44(2):345-350.
    [7] Muralikrishnan B, Venkatachalam S, Raja J, et al. A note on the three-point method for roundness measurement[J]. Precision Engineering, 2005, 29(2):257-260.
    [8] Hong Maisheng, Wei Yuanlei, Su Heng, et al. A new method for on-machine measurement of roundness-error separation technique of parallel three-probe method in frequency domain[J]. Chinese Journal of Science Instrument, 2003, 24(2):152-156. (in Chinese)洪迈生, 魏元雷, 苏恒, 等. 三平行传感器式频域法误差分离技术在线测量圆度误差的新方法[J]. 仪器仪表学报, 2003, 24(2):152-156.
    [9] GB/T 4380-2004, Assessment of departure from roundness-Two-and three-point methods[S]. 2005-07-01. (in Chinese)
    [10] Liu Jie, Li Hua, Fu Xihong. Measurement system of large-scale sleeve roundness error[J]. Infrared and Laser Engineering, 2016,45(1):0117005. (in Chinese)刘杰, 李华, 付西红. 大尺寸筒状设备圆度误差测量系统[J]. 红外与激光工程, 2016, 45(1):0117005.
    [11] Yang T, Wang Z, Wu Z, et al. Calibration of laser beam direction for inner diameter measuring device[J]. Sensors, 2017, 17(2):0294.
    [12] Li Chao, Shen Li, Shi Feifei. Research on the method of detecting the roundness error of cylindrical inner-hole by using coaxial hollow laser[J]. Infrared and Laser Engineering, 2018, 47(S1):S106001. (in Chinese)李超, 申力, 施斐斐. 同轴空心激光检测圆柱内孔圆度误差的方法研究[J]. 红外与激光工程, 2018, 47(S1):S106001.
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Diameter measurement based on improved three-point method

doi: 10.3788/IRLA201948.0517008
  • 1. School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;
  • 2. Shanghai Institute of Measurement and Testing Technology,Shanghai 201203,China

Abstract: The roundness error separation technique of three-point method was widely used in the separation algorithm for roundness error of part shapes and rotation error of motors. The key of accurate separation in roundness error depended on setting the angles of three displacement sensor probes logically, in order to avoid that the denominator of transfer function became zero. However, during the process of specific implementation, the angle setting error of displacement sensor probes inevitably existed, which made analyzing the influence of angle setting error become much more important. Based on the classical model of three-point method, and then a new model was presented for analyzing the angle setting error of displacement sensor probes. Taking the diameter results in measuring roundness through three-point method as the goal, according to different parameter settings in actual working situations, the error of measuring results caused by the angle setting error of displacement sensor probes was quantitatively analyzed. Lastly, using capacitive displacement sensor to carry out the research on measuring diameter of circular parts, the effectiveness of error analysis was confirmed in this article and the repeatability accuracy of measuring diameter which can be less than 2 m.

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