Method to Reduce Vibration of a Mechanical System of Single-Degree-of-Freedom Subjected to Base Excitation Due to Rigid Motion

Abstract

The purpose of this study is to develop a method to reduce residual vibration which the base excitation due to a rigid motion causes when a flexible structure reaches a target position under the rigid motion. The vibration of structures is composed of vibrational components of infinite modes. The first mode of vibration is a target in reducing the residual vibration in the present study. Conditions on acceleration of a base excitation due to a rigid motion not to cause residual vibration were derived for a mechanical system of single-degree-of-freedom. The validity of the derived conditions was verified performing calculations of time history responses when a mechanical system moves at the acceleration satisfying their conditions.