Vibration Analysis of an Automatic Ball Balancer with Double Races

이중레이스를 갖는 자동평형장치의 진동해석

Lee, Dong-Jin;Jeong, Jin-Tae;Hwang, Cheol-Ho

  • Published : 2000.05.01


Dynamic behaviors are analyzed for an automatic ball balancer with double races which is a device to reduce eccentricity of rotors. Equations of motion are derived by using the polar coordinate sys tem instead of the rectangular coordinate system which is used in other previous researches. To analyze the stability around equilibrium positions, the perturbation method is used. On the other hand, the time responses are computed from the nonlinear equations of motion by using a time integration method.


Automatic Ball Balancer;Dynamic Balancing;Perturbation Method;Dynamic Stability


  1. Junmin Park, Dae-sung Ro, and Jintai Chung, 1999, 'Vibration Analysis of an Automatic Ball Balancer,' KSNVE, Vol. 9, pp. 363-370
  2. Cade, J. W., 1965, 'Self-Compensating Balancing in Rotating Mechanisms,' Design News, pp. 234-239
  3. 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 System, Measurement, and Control, Vol. 118, pp. 468-475
  4. Chung, J. and Lee, J. M., 1994, 'A New Family of Explicit Time Integration Methods for Llinear and Non-linear Sructural Dynamics,' International Journal for Numerical Methods in Engineering, Vol.37, pp. 3961-3976
  5. Thearle, E. L., 1932, 'A New Type of Dynamic Balancing Machine,' ASME Journal of Applied Mechanics, Vol. 54, pp. 131-141
  6. Alexander, J. D., 1964, 'An Automatic Dynamic Balancer,' Proceeding, 2nd South-eastern Conference, pp.415-426