Skip to main content
Log in

Performance evaluation of five-DOF motion in ultra-precision linear stage

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

In this study, the performance of five-DOF motion in ultra-precision linear stage is evaluated accurately by extending the application of the ISO 230-2 International Standard, which is focused only on the linear displacement motion of a linear stage. The bidirectional accuracy and bidirectional repeatability of positioning in five-DOF motion are calculated by measured geometric errors. Five geometric errors except for the linear displacement error of a linear stage are measured simultaneously using the optimal measurement system, which is designed to enhance the standard uncertainty of the estimated geometric errors. The geometric errors are in good agreement with those from the laser interferometer. In addition, the confidence intervals of the performances are determined by the uncertainties of the equipment used in the experiment.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. ISO 230-1, “Test Code for Machine Tools-part 1: Geometric Accuracy of Machines Operating under No-load or Finishing Conditions,” 1996.

    Google Scholar 

  2. Yang, S., Yuan, J., and Ni, J., “Accuracy Enhancement of a Horizontal Machining Center by Real-Time Error Compensation,” Journal of Manufacturing Systems, Vol. 15, No. 2, pp. 113–124, 1996.

    Article  Google Scholar 

  3. Kim, H. S., Lee, K. I., Lee, K. M., and Bang, Y. B., “Fabrication of Free-Form Surfaces using a Long-Stroke Fast Tool Servo and Corrective Figuring with On-Machine Measurement,” International Journal of Machine Tools and Manufacture, Vol. 49, No. 12–13, pp. 991–997, 2009.

    Article  Google Scholar 

  4. Kiridena, V. S. B. and Ferreira, P. M., “Kinematic Modeling of Quasistatic Errors of Three-Axis Machining Centers,” International Journal of Machine Tools and Manufacture, Vol. 34, No. 1, pp. 85–100, 1994.

    Article  Google Scholar 

  5. Yang, S. H., Kim, K. H., Park, Y. K., and Lee, S. G., “Error Analysis and Compensation for the Volumetric Errors of a Vertical Machining Centre using a Hemispherical Helix Ball Bar Test,” International Journal of Advanced Manufacturing Technology, Vol. 23, No. 7–8, pp. 495–500, 2004.

    Article  Google Scholar 

  6. Chen, X. B., Geddam, A., and Yuan, Z. J., “Accuracy Improvement of Three-Axis CNC Machining Centers by Quasi-Static Error Compensation,” Journal of Manufacturing Systems, Vol. 16, No. 5, pp. 323–336, 1997.

    Article  Google Scholar 

  7. Kim, H. S., Kim, E. J., and Song, B. S., “Diamond Turning of Large Off-Axis Aspheric Mirrors using a Fast Tool Servo with On-Machine Measurement,” Journal of Materials Processing Technology, Vol. 146, No. 3, pp. 349–355, 2004.

    Article  Google Scholar 

  8. Dow, T. A., Miller, M. H., and Falter, P. J., “Application of a Fast Tool Servo for Diamond Turning of Nonrotationally Symmetric Surfaces,” Precision Engineering, Vol. 13, No. 4, pp. 243–250, 1991.

    Article  Google Scholar 

  9. Lee, D. M., Zhu, Z., Lee, K. I., and Yang, S. H., “Identification and Measurement of Geometric Errors for a Five-Axis Machine Tool with a Tilting Head using a Double Ball-Bar,” Int. J. Precis. Eng. Manuf., Vol. 12, No. 2, pp. 337–343, 2011.

    Article  Google Scholar 

  10. Lee, K. I. and Yang, S. H., “Robust Measurement Method and Uncertainty Analysis for Position-Independent Geometric Errors of a Rotary Axis using a Double Ball-Bar,” Int. J. Precis. Eng. Manuf., Vol. 14, No. 2, pp. 231–239, 2013.

    Article  Google Scholar 

  11. Lee, D. M. and Yang, S. H., “Mathematical Approach and General Formulation for Error Synthesis Modeling of Multi-Axis System,” International Journal of Modern Physics B, Vol. 24, No. 15–16, pp. 2737–2742, 2010.

    Article  MATH  Google Scholar 

  12. Park, S. R. and Yang, S. H., “Design of a 5-axis Machine Tool Considering Geometric Errors,” International Journal of Modern Physics B, Vol. 24, No. 15–16, pp. 2484–2489, 2010.

    Article  MATH  Google Scholar 

  13. Fan, K. C., Chen, M. J., and Huang, W. M., “A Six-Degree-of-Freedom Measurement System for the Motion Accuracy of Linear Stages,” International Journal of Machine Tools and Manufacture, Vol. 38, No. 3, pp. 155–164, 1998.

    Article  Google Scholar 

  14. Huang, P. S. and Ni, J., “On-Line Error Compensation of Coordinate Measuring Machines,” International Journal of Machine Tools and Manufacture, Vol. 35, No. 5, pp. 725–738, 1995.

    Article  MathSciNet  Google Scholar 

  15. Lee, J. H., Liu, Y., and Yang, S. H., “Accuracy Improvement of Miniaturized Machine Tool: Geometric Error Modeling and Compensation,” International Journal of Machine Tools and Manufacture, Vol. 46, No. 12–13, pp. 1508–1516, 2006.

    Article  Google Scholar 

  16. Lee, K. I., Lee, J. C., and Yang, S. H., “The Optimal Design of a Measurement System to Measure the Geometric Errors of Linear Axes,” International Journal of Advanced Manufacturing Technology, Vol. 66, No. 1–4, pp. 141–149, 2013.

    Article  MathSciNet  Google Scholar 

  17. ISO 230-2, “Test Code for Machine Tools-part 2: Determination of Accuracy and Repeatability of Positioning Numerically Controlled Axes,” 2006.

    Google Scholar 

  18. ISO/IEC GUIDE 98-3, “Uncertainty of Measurement-part 3: Guide to the Expression of Uncertainty in Measurement (GUM:1995),” 2008.

    Google Scholar 

  19. ISO/TR 230-9, “Test Code for Machine Tool-Part 9: Estimation of Measurement Uncertainty for Machine Tool Tests according to Series ISO 230, Basic Equation,” 2005.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seung-Han Yang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lee, KI., Lee, JC. & Yang, SH. Performance evaluation of five-DOF motion in ultra-precision linear stage. Int. J. Precis. Eng. Manuf. 15, 129–134 (2014). https://doi.org/10.1007/s12541-013-0315-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-013-0315-4

Keywords

Navigation