Antiresonance and Transient Response of a Vibratory System with a Parameter-Variable Dynamic Absorber : Theoretical Analysis for a Main System with Single Degree of freedom

Abstract

An antiresonance is formed by attaching a dynamic absorber to a vibratory system. Even if the exciting frequency shifts, the antiresonance can be retained by adjusting the parameters of the absorber. In this paper, the frequency, phase, and amplitude of the antiresonant point are theoretically investigated. The transient response is also investigated. For the actual use, the antiresonance is obtained by keeping the phase lag between the main system and the absorber to be tan^-1(1/2ξ₂), (ξ₂: damping factor of the absorber). Usually the damping must be small, but it should be increased only when the tracking has a delay and the sytem passes through the resonance.