Vibration quenching device using Hula-Hoop and displacement magnification mechanism

Abstract

This paper deals with the vibration quenching problem of the single-degree-of-freedom system with a limited power supply. This system is forced by the centrifugal force of rotating unbalance, and the system is quenched using a Hula-Hoop and displacement magnification mechanism even if the displacement of the main system is small. The vibration quenching of the system are studied from the numerical integration of the equation of motion obtained using Lagrange equation and the experiment. Following was made clear: (1) By enlarging the displacement at the position of Hula-Hoop using displacement magnification mechanism, vibration quenching became possible even when the displacement amplitude of the main system is small. (2) Although the system becomes two-degree-of-freedom system by the proposed displacement magnification mechanism, by designing so that the second resonance frequency becomes high, it is possible to widen the frequency range where vibration can be quenched. (3) The characteristics of the approximate solutions obtained by the numerical integration method coincide with those of the results obtained by the experiment.