Abstract
This paper deals with the vibration quenching problem of the single-degree-of-freedom system with a limited power supply using a Hula-Hoop and displacement magnification mechanism. This system is forced by the centrifugal force of rotating unbalance. If the unbalance is small, the amplitude of vibration becomes small and Hula-Hoop does not rotate. Therefore, two types of displacement magnification mechanisms are adopted, namely the mechanism using cantilever and that using beams with fixed ends that move. The quenching effects and the compactness of the mechanisms are studied. Following was made clear by the numerical integration of the equation of motion and the experiment: (1) Main system is quenched well by enlarging the displacement at the rotational center of Hula-Hoop using each type of displacement magnification mechanism. (2) The magnification of displacement is larger in using cantilever than in using beams with fixed ends that move. (3) The frequency range suitable for vibration quenching is wider in using beams with fixed ends that move than in using cantilever. (4) The optimal vibration quenching condition is obtained for Hula-Hoop and displacement magnification mechanism. (5) The characteristics of the solutions obtained by the numerical integration method coincide qualitatively with those of the results obtained by the experiment.
