# A Method of Measuring a 3-Dimensional Curve on a Surface with a CMM

## Abstract:

In order to examine and evaluate the characteristics of a mechanical component, a 3-dimensional curve on the surface of the component needs to be measured on a coordinate measuring machine (CMM). A method of measuring a 3-dimensional curve on a surface with a CMM was put forward in this paper. The measuring method of each point of the curve on the surface is divided into three steps. The first step is to select some grid points of the surface near the measured point of the curve. Actually the measuring results are the coordinates of the center of the spherical probe and all of the grid points locate in the offset surface of the measured surface. So the probe radius should be compensated. In order to make the compensation reliable, easy and simply, some regular grid points where the probe center should be set are selected and a corresponding method of calculating the normal vector of the surface is used. A small surface patch of the actual surface is measured in the second step. In the last step, some new grid points are obtained after probe radius compensation. The real coordinates of the measured point is determined by using the interpolation method and the theoretical equation of the curve. The measuring method was used to examine the modification curve of a worm generated by linear cutter edge with two degrees of freedom and the results showed the coherence of the actual modification curve to the theoretical one.

## Info:

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Edited by:

Wenzhe Chen, Xingjun Liu, Pinqiang Dai, Yonglu Chen and Zhengyi Jiang

Pages:

2527-2530

Citation:

H. T. Li et al., "A Method of Measuring a 3-Dimensional Curve on a Surface with a CMM", Advanced Materials Research, Vols. 482-484, pp. 2527-2530, 2012

Online since:

February 2012

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[1] Y. Ji and Q. Lao: Tool Technology Vol. 42 (12) (2008), pp.102-105. (in Chinese).

[2] W. Wang and X. Wu: Modern Manufacturing Engineering (1) (2009), pp.89-92. (in Chinese).

[3] W. Xia: Shang Standardization (2) (2003), pp.30-32. (in Chinese).

[4] D. Qin, C. Jia and C. Yang: Journal of Chongqing University (Natural Science Edition) Vol. 25 (5) (2002), pp.1-4. (in Chinese).

[5] F. Liu, D. Qin and X. Deng: Journal of Chongqing University (Natural Science Edition) Vol. 30 (11) (2007), pp.9-13. (in Chinese).

[6] Z. Bai, R. Zhao, D. Zhang and J. Zhang: Journal of Xi'an Jiaotong University Vol. 29 (10) (1995), pp.75-80. (in Chinese).

[7] G. Feng, G. Zhang and Z. Xie: Aerospace Precise Manufacturing Technology Vol. 35 (6) (1999), pp.23-26. (in Chinese).

[8] Y. Bao, H. Li and Z. Li: Precise Manufacturing and Aotumation (4) (2008), pp.41-42. (in Chinese).

[9] S. Fu: Differential Geometry and Gear Mesh Theory (China University of Petroleum Press, Beijing 1999) (in Chinese).

[10] R. Lee and F. Shiou: Measurement Vol. 43(2010), pp.469-478.

[11] X. Zhu, H. Li, W. Wei, and X. Fang: Chinese Journal of Mechanical Engineering Vol. 46 (9) (2010), pp.52-58. (in Chinese).

[12] X. Zhu, H. Li, and W. Wei: The Two-Degree Freedom Gear Meshing Theory and Application (Mechanical Industry Press, Beijing 2011) (in Chinese).

[13] Y. Wang, C. Zhu and Z. Wang: Acta Geodaetica et Cartographica Sinica Vol 37 (2) (2008), pp.217-222. (in Chinese).