Motion Error Compensation Method for Hydrostatic Tables Using Actively Controlled Capillaries

  • Park Chun Hong (Intelligent Machine Systems Center, Korea Institute of Machinery & Materials) ;
  • Oh Yoon Jin (Intelligent Machine Systems Center, Korea Institute of Machinery & Materials) ;
  • Hwang Joo Ho (Intelligent Machine Systems Center, Korea Institute of Machinery & Materials) ;
  • Lee Deug Woo (Nano Science and Technology Faculty, Pusan National University)
  • Published : 2006.01.01

Abstract

To compensate for the motion errors in hydrostatic tables, a method to actively control the clearance of a bearing corresponding to the amount of error using actively controlled capillaries is introduced in this paper. The design method for an actively controlled capillary that considers the output rate of a piezo actuator and the amount of error that must be corrected is described. The basic characteristics of such a system were tested, such as the maximum controllable range of the error, micro-step response, and available dynamic bandwidth when the capillary was installed in a hydrostatic table. The tests demonstrated that the maximum controllable range was $2.4\;{\mu}m$, the resolution was 27 nm, and the frequency bandwidth was 5.5 Hz. Simultaneous compensation of the linear and angular motion errors using two actively controlled capillaries was also performed for a hydrostatic table driven by a ballscrew and a DC servomotor. An iterative compensation method was applied to improve the compensation characteristics. Experimental results showed that the linear and angular motion errors were improved to $0.12{\mu}m$ and 0.20 arcsec, which were about $1/15^{th}$ and $1/6^{th}$ of the initial motion errors, respectively. These results confirmed that the proposed compensation method improves the motion accuracy of hydrostatic tables very effectively.

Keywords

References

  1. Aoyama, H., Watanabe, I., Akutsu, K. and Shimokohbe, A., 1988, 'An Ultra Precision Straight Motion System (151 Report-Two Degrees of Freedom Control of Motion),' J. of JSPE, Vol. 54, No.3, pp. 130-135
  2. Aoyama, T., 1990, Hydrostatic Bearing - Design and Applications, Kougyojoushakai
  3. Canbulut, F., Sinanoglu, C. and Yildirim, S., 2004, 'Analysis of Effects of Sizes of Orifice and Pockets on the Rigidity of Hydrostatic Bearing Using Neural Network Predictor System,' KSME International Journal, Vol. 18, No.3, pp.432-442
  4. Hageman, L. A. and Young, D. M., 1981, Ap-plied Iterative Methods, Academic Press, Inc.
  5. Mizumoto, H., Arii, S., Kami, Y., Goto, K., Yamamoto, T. and Kawamoto, M., 1996, 'Active Inherent Restrictor for Air-bearing Spindles,' Precision Engineering, Vol. 19, No. 2/3, pp. 141-147 https://doi.org/10.1016/S0141-6359(96)00041-4
  6. Park, C. H., Moriwaki, T. and Shamoto, E., 1998, 'Coupling Mechanism for High Precision Feed Table with Ballscrew,' Int. Conf on Manufacturing Milestones toward the $21^{st}$ Century, JSME, pp. 139-144
  7. Sharma, S. C., Jain, S. C. and Bharuka, D. K., 2002, 'Influence of Recess Shape on the Performance of a Capillary Compensated Circular Thrust Pad Hydrostatic Bearing,' Tribology International, Vol. 35, pp. 347-356 https://doi.org/10.1016/S0301-679X(02)00013-0