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Software Datum Design for Cross-Axis Motion Measurement of X-Stage Based on Least Uncertainty Criterion
Eiki Okuyama*, Hiroshi Takahashi**, and Hiromi Ishikawa*
*Akita University, Akita 010-8502, Japan
**Akita Prefectural Office, Akita 010-8570, Japan
Received:November 28, 2010Accepted:December 22, 2010Published:March 5, 2011
Keywords:straightness, cross-axis motion, pitch motion, software datum, error separation
Abstract
Cross-axis translational motion of a table on a machine tool is important in ultraprecision processes. Currently, conventional software datums that separate the cross-axismotion fromthe straightness profile of the straightedge by using multiple sensors and/or multiple arrangements are well-known. However, in large sampling numbers, the multiple sensor method tends to propagate random error. In this paper, a novel software datum for cross-axis motion measurement that can reduce the uncertainty due to the datum profile, pitch motion and random error is proposed. The proposed method consists of a weighted addition and inverse filtering. The suitable weight for the weighted addition yielding the least uncertainty is derived by an equation using standard deviations of the datum profile, pitch motion and random error of the sensors.
Cite this article as:E. Okuyama, H. Takahashi, and H. Ishikawa, “Software Datum Design for Cross-Axis Motion Measurement of X-Stage Based on Least Uncertainty Criterion,” Int. J. Automation Technol., Vol.5 No.2, pp. 97-101, 2011.Data files:
References- [1] D. J. Whitehouse, “Some theoretical aspects of error separation techniques in surface metrology,” J. of Physics E, Scientific Instruments, Vol.9, pp. 531-536, 1976.
- [2] H. Tanaka and H. Sato, “Basic characteristics of straightness measurement method by two sequential points,” Trans. of the JSME(C), Vol.48, No.436, pp. 1930-1937, 1982 (in Japanese).
- [3] S. Kiyono, E. Okuyama, and M. Sumita, “Study on measurement of surface undulation (2nd report),” J. of JSPE, Vol.54, No.3, pp. 513-518, 1988 (in Japanese).
- [4] for example, S. Kiyono, Ultra precision measurement, 2007.
- [5] E. Okuyama, “Multi-probe Method for Straightness Profile Measurement Based on Least Uncertainty Propagation,” Precision Engineering, Vol.34, Issue 1, pp. 49-54, 2010.
