Vibration control of base system using distributed dynamic vibration absorbers

Abstract

A theoretical model of a base system consisting of two isolators and a beam is established. To improve the isolation performance of the base system, distributed dynamic vibration absorbers (DDVA) are attached to the beam to reduce at each single frequency in the frequency range of interest. A transfer matrix method which uses mobility or impedance is adopted to calculate the force transfer rate of the base system. Detailed expressions of the mobility formulae are given for isolators, for DDVA and for the Euler beam on which only a flexural wave propagates. The dynamic transfer matrixes of each substructure are obtained and the force transmitted to the foundation is calculated. The effects of DDVA and the isolators’ parameters on the force transfer rate of the base system are discussed in detail. Experiment results of the base system and the combined base system are presented to validate the theoretical results.