Measurement of multi-degree-of-freedom error motions of a precision linear air-bearing stage

Wei Gao, Yoshikazu Arai, Atsushi Shibuya, Satoshi Kiyono, Chun Hong Park

Research output: Contribution to journalArticlepeer-review

130 Citations (Scopus)


This paper describes the measurement of straightness error motions (vertical straightness and horizontal straightness) and rotational error motions (pitch, yaw and roll) of a commercial precision linear air-bearing stage actuated by a linear motor. Each of the error motions was measured by two different methods for assurance of reliability. The stage was placed in the XY-plane and moved along the X-direction. The pitch error and yaw error, which were measured by an autocollimator and the angle measurement kit of a laser interferometer, were about 8.7 and 1.6 arc-s, respectively, over a travel of 150 mm with a moving speed of 10 mm/s. The roll error was measured by the autocollimator through scanning a flat mirror along the X-direction. The second method for roll error measurement was to scan two capacitance-type displacement probes along the flat surface placed in the XZ-plane. The two probes with their sensing axes in the Y-direction were aligned with a certain spacing along the Z-axis. The roll error can be obtained by dividing the difference of the outputs of the two probes by the spacing between the two probes. The roll error was measured to be approximately 11.8 arc-s over the 150 mm travel. The horizontal straightness error and the vertical straightness error (Y- and Z-straightness errors) were measured by using the straightness measurement kit of the laser interferometer. The second method for straightness measurement was to scan the flat surface with a capacitance-type displacement probe. The horizontal and vertical straightness errors of the stage over the 150 mm travel were measured to be approximately 207 and 660 nm, respectively.

Original languageEnglish
Pages (from-to)96-103
Number of pages8
JournalPrecision Engineering
Issue number1
Publication statusPublished - 2006 Jan 1


  • Air-bearing
  • Error motion
  • Linear motor
  • Linear stage
  • Measurement
  • Pitch
  • Roll
  • Straightness
  • Yaw

ASJC Scopus subject areas

  • Engineering(all)


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