Journal of the Korean Society of Manufacturing Process Engineers (한국기계가공학회지)

The Korean Society of Manufacturing Process Engineers (한국기계가공학회)
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Analysis of Friction-Induced Vibrations in a Ball Screw Driven Slide on Skewed Guideway

경사안내면 상에서 이송되는 볼나사-슬라이드 이송계의 마찰기인 진동해석

  • 최영휴 (창원대학교 메카트로닉스대학 기계공학부)
  • Received : 2014.10.23
  • Accepted : 2014.12.03
  • Published : 2014.12.31
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Abstract

A moving mass on a skewed linear guideway model to analyze the friction-induced stick-slip behavior of ball-screw-driven slides is proposed. To describe the friction force, a friction coefficient function is modelled as a third-order polynomial of the relative velocity between the slide mass and a guideway. A nonlinear differential equation of motion is derived and an approximate solution is obtained using a perturbation method for the amplitudes and base frequencies of both pure-slip and stick-slip oscillations. The results are presented with time responses, phase plots, and amplitude plots, which are compared adequately with those obtained by Runge Kutta 4th-order numerical integration, as long as the difference between the static and kinematic friction coefficients is small. However, errors in the results by the approximate solution increase and are not negligible if the difference between the friction coefficients exceeds approximately 40% of the static friction coefficient.

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References

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