Abstract
This paper deals with the problem of vibration quenching of the system with a limited power supply using a Hula-Hoop and a motor to assist its rotation. Quenching of horizontal vibration of the one-degree-of-freedom system forced by centrifugal force of unbalance is researched. Following was made clear from the numerical analysis, the approximate analysis using the averaging method, and the experiment: (1) By cancelling the rotational resistance of the Hula-Hoop using an assistant motor, the amplitude of the main system becomes zero theoretically. (2) In the case that the power source and the torque assist equipment are both motors, the optimal voltage for the assistant motor to quench the main system vibration perfectly is obtained from the approximate analysis using the averaging method. (3) The results obtained by the averaging method and those obtained by the numerical integration were in good agreement not only qualitatively but also quantitatively, and those results and that obtained by the experiment were in good agreement qualitatively.
