Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Stability Analysis of Transverse Vibration of a Spinning Disk with Speed Fluctuation

속도변동성분을 갖는 회전디스크의 횡진동 안정성 해석

  • 신응수 (충북대학교 공과대학 기계공학부) ;
  • 이기녕 (충북대학교 대학원 기계공학부) ;
  • 신태명 (충주대학교 기계설계학과) ;
  • 김옥현 (충북대학교 공과대학 기계공학부)
  • Published : 2002.01.01
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Abstract

This paper intends to investigate the effects of speed fluctuation caused by the cogging torque in permanent magnetic motors on the stability of the transverse vibration for a spinning disk. Based on the Kirchhoff\`s plate theory and the assumed mode methods, a set of discretized equations of motion were derived for an annular disk rotating with a harmonically varying speed. Then, a perturbation method using the multiple time scales was employed and stability boundaries were determined explicitly in terms of the magnitude and frequency of speed fluctuation, a nominal sped and the modal characteristics of the disk. It is found that parametric resonance occurs at several speed ranges and a single mode or a combination of two modes are involved to cause instability. It is also observed that unstable regions become broadened as the spinning speed increases or two modes are combined in parametric instability. As numerical simulations, stability analysis of a conventional CD-ROM drive was performed. Results of this work can e used as guidelines for motor design and operations with low vibration.

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References

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