Vibration quenching of two-degree-of-freedom system using Hula-Hoop

Abstract

In this paper, we deal with the vibration control problem by a Hula-Hoop in a two-degree-of-freedom system that is an example of a multi-degree-of-freedom system. The vibration control effect was investigated by changing the installation position of the Hula-Hoop, the mass point to be controlled, and the effective frequency range. From the numerical integration of the equations of motion and the experiments, the following was found. (1) By installing the Hula- Hoop in the lower structure, it is possible to suppress the entire system in the frequency region from the first resonance point to the anti-resonance point and in the frequency region higher than the second resonance point. (2) When the Hula-Hoop is installed in the upper structure, only one of the lower structure and the upper one can be controlled in the same frequency ranges mentioned above. (3) The conditions for optimal vibration control using the Hula-Hoop in a two-degree-of-freedom system are clarified. (4) The characteristics of the solutions obtained by the numerical integration method coincide qualitatively with those of the results obtained by the experiment.