Uncertainty Evaluation Study of CMM Dynamic Measurement Based on Quasi Monte Carlo Method

Abstract:

In a contact measurement process, the coordinate measuring machine（CMM）probe will bring dynamic measurement error, therefore, dynamic calibration of the probe tip effective diameter should to be done at different probing speeds, and calibration uncertainty should to be given. There are some problems, slow convergence and unstable, using Monte Carlo (MC) method in uncertainty. In this paper, Quasi Monte Carlo (QMC) method is presented in the probe tip effective diameter uncertainty evaluation. At a certain positioning speed and distance approximation, probe tip effective diameter experimental tests are done with changing probing speeds. MC and QMC methods are used on uncertainty evaluation respectively, and the results are compared and analyzed. The simulation shows that QMC can be used on dynamic uncertainty evaluation of CMM probe tip. Compared with MC, QMC obtains a better stability and precision in small sample size and gains higher computing speed in large sample size.显示对应的拉丁字符的拼音 字典名词 assessment动词 assessevaluatepass judgment

• Periodical: Applied Mechanics and Materials (Volume 103)
• Pages: 366-371
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.103.366
• Online since: September 2011
• Authors: Wei Hong Zhong, Xiu Shui Ma, Ying Dao Li, Yuan Li
• Keywords: CMM, Dynamic Measurement, Measurement Uncertainty, Monte-Carlo, Qausi-Monte Carlo

References

[1] A. Balsamo, M. Di Ciommo, R. Mugno, Evaluation of CMM uncertainty through Monte Carlo simulations. CIRP Annals - Manufacturing Technology. Vol. 48, Issue 1, (1999), pp.425-428.

DOI: 10.1016/s0007-8506(07)63218-1

[2] Jean-Pierre Kruth, Nick Van Gestel, Philip Bleys, Uncertainty determination for CMMs by Monte Carlo simulation integrating feature form deviations, CIRP Annals - Manufacturing Technology. Vol. 58, Issue 1, (2009), pp.463-466.

DOI: 10.1016/j.cirp.2009.03.028

[3] Ma Xiushui, Fei Yetai, Li Guang, Study on dynamic measurement uncertainty evaluation for CMMs, Chinese Journal of Scientific Instrument. Vol. 29, Issue 7, (2008), pp.2146-2149.

[4] Harald Niederreiter, Some current issues in quasi-Monte Carlo methods, Journal of Complexity. Vol. 19, (2003), p.428–433.

DOI: 10.1016/s0885-064x(03)00015-3

[5] Christiane Lemieux, Monte Carlo and quasi-Monte carlo sampling, Springer Series in Statistics, 2009, pp.139-146.

DOI: 10.1007/978-0-387-78165-5_5

[6] Huang Meifa, Jing Hui, Kuang Bing, Measurement uncertainty evaluation based on quasi Monte-Carlo method, Chinese Journal of Scientific Instrument. Vol. 30, Issue 1, (2009), pp.120-124.

[7] Hexagon Metrology, Practical coordinate measuring technology, China Chemical Industry Publishing House, Beijing, 2007, pp.58-61.

[8] Zhang Guoxiong, Coordinate measuring machine, Tianjin University Publishing House of China, Tianjin，1999, pp.338-340.

[9] WangWei, Song Mingshun, Chen Yihua, Application of Monte-Carlo method in measurement uncertainty evaluation of complicated model, Chinese Journal of Scientific Instrument. Vol. 29 Issue 7, (2008), pp.1446-1449.