Motion Error Analysis of the Porous Air Bearing Stages Using the Transfer Function

전달함수를 이용한 다공질 공기베어링 스테이지의 운동오차해석

  • 박천홍 (한국기계연구원 공작기계그룹) ;
  • 이후상 (한국기계연구원 공작기계그룹)
  • Published : 2004.07.01

Abstract

In order to analyze the motion errors of the aerostatic stage, it is necessary to consider the influence of the moment variation occurred inside the pads. In this paper, a motion error analysis method utilizing the transfer functions on the reaction force and moment is proposed, and general characteristics of the transfer functions are discussed. Calculated motion errors by the proposed method show good agreement with the ones calculated by Multi fad Method, which is considered the entire table as an analysis object. Also, by the introduction of the transfer function of motion errors, which represent the relationship between the spatial frequency components of the rail form error and motion errors, motional characteristics of the porous aerostatic stage can be generalized. In detail, the influence of the spatial frequencies is analyzed qualitatively, and the patterns of the insensitive frequencies which almost do not affect the linear motion error or angular motion error according to the rail length ratio and the number of the pad are verified. The relationship between the moment variation occurred inside the pads and the motion errors is also verified together.

Keywords

References

  1. Wakui, S., 'Current and Future of Precision Positioning Stage Working in Stepper,' J. of JSPE, Vol. 67, No. 2, pp. 202-206, 2001
  2. Shinno, H. and Hashizume, H., 'Machining Environment-Controlled Ultraprecision Machining,' J. of JSPE, Vol. 68, No. 9, pp. 1171-1174, 2002
  3. Park, C. H. and Lee, H., 'Precision Positioning Technologies with Ballscrew,' J. of KSPE, Vol. 17, No. 12, pp. 26-33, 2000
  4. Park, C. H., Oh, Y. J., Lee, C. H. and Hong, J. H., 'Theoretical Verification on the Motion Error Analysis Method of Hydrostatic Bearing Tables Using a Transfer Function,' Int. J. of KSPE, Vol. 4, No. 2, pp. 64-70, 2003
  5. Park, C. H., Oh, Y. J., Lee, C. H. and Hong, J. H., 'Experimental Verification on the Motion Error Analysis Method of Hydrostatic Bearing Tables Using a Transfer Function,' Int. J. of KSPE, Vol. 4, No. 2, pp. 57-63, 2003
  6. Park, C. H., Chung, J. H., Lee, H. and Kim, S. T., 'Finite Element Analysis on the Motion Accuracy of Hydrostatic Table(1st. Analysis and Experimental Verification on Single-side Table),' J. of KSPE, Vol. 17, No. 12, pp. 137-144, 2000
  7. Park, C. H., Lee, H., Kim, T. H. and Kim, M. G., 'Finite Element Analysis on the Motion Accuracy of Hydrostatic Table(2nd. Analysis and Experimental Verification on Double-sides Table),' J. of KSPE, Vol. 19, No. 1, pp. 65-70, 2002
  8. Iwato, T. and Yoshimoto, S., 'Static and Dynamic Characteristics of Circular Aerostatic Porous Thrust Bearings,' JSME J. Series C, Vol. 62, No. 593, pp. 276-283, 1996