Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Effects of Gravity and Angular Velocity Profiles on the Dynamic Behavior of an Automatic Ball Balancer

자동볼평형장치의 동적거동에 미치는 중력과 속도파형의 영향

  • 정두한 (한양대학교 대학원 정밀기계공학과) ;
  • 정진태 (한양대학교 기계정보경영공학부)
  • Published : 2004.05.01
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Abstract

The dynamic behavior of an automatic ball balancer (ABB) is studied considering the effects of gravity and angular velocity profiles. In this study, a physical model for an ABB installed on the Jeffcott rotor is adopted in order to investigate the effects of gravity and angular acceleration. The equations of motion for the rotor with ABB are derived by using Lagrange's equation. Based on derived equations, dynamic responses for the rotor are computed by using the generalized-o method. From the computed responses, the effects of gravity and angular velocity profiles on the dynamic behavior are investigated. It is found that the balancing of the rotor with ABB can be achieved regardless of gravity. It Is also shown that a smooth velocity profile yields relatively smaller vibration amplitude than a non-smooth velocity profile.

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References

  1. Lee, J. and Van Moorhem, W.K., 1996, 'Analytical and Experimental Analysis of a Self-Compensating Dynamic Balancer in a Rotating Mechanism,' ASME Journal of Dynamic Systems, Measurement and Control, Vol. 118, pp. 468-475 https://doi.org/10.1115/1.2801169
  2. Chung, J. and Ro, D.S., 1999, 'Dynamic Analysis of an Automatic Dynamic Balancer for Rotating Mechanisms,' Journal of Sound and Vibration, Vol. 228, pp. 1035-1056 https://doi.org/10.1006/jsvi.1999.2456
  3. Chung, J. and Jang, I., 2003, 'Dynamic Response and Stability Analysis of an Automatic Ball Balancer for a flexible Rotor,'' Journal of Sound and Vibration, Vol. 259, pp. 31-43 https://doi.org/10.1006/jsvi.2002.5137
  4. Huang, W.Y., Chao, C.P., Kang, J.R. and Sung, C.K., 2002, 'The Application of Ball-Type Balancers for Radial Vibration Reduction of High-Speed Optic Disk Drives,' Journal of Sound and Vibration, Vol. 250, pp. 415-430 https://doi.org/10.1006/jsvi.2001.3921
  5. Kang, J.R., Chao, C.P., Huang, C.L. and Sung, C.K., 2001, 'The Dynamics of a Ball-Type Balancer System Equipped with a Pair of Free-Moving Balancing Masses,' ASME Journal of Vibration and Acoustics, Vol. 123, pp. 456-465 https://doi.org/10.1115/1.1385203
  6. Kim, W. and Chung, J., 2002, 'Performance of Automatic Ball Balancers on Optical Disc Drivers,' Proceedings of the Institution of Mechanical Engineers Part C- Journal of Mechanical Engineering Science, Vol. 216, pp. 1017-1080 https://doi.org/10.1243/095440602761609443
  7. Chung, J. and G Hulbert,.M., 1993, 'A Time Integration Algorithm for Structural Dynamics with Improved Numerical Dissipation: the $Generalized-{\alpha}$ Method,' ASME Journal of Applied Mechanics, Vol. 60, pp. 371-375 https://doi.org/10.1115/1.2900803