Active vibration control of a system subject to random excitation using impulsive parametric damping

摘要

In this paper, active vibration control of a mechanical oscillator subjected to random excitation is considered using parametric impulsive damping. First, the theory of active vibration control is provided. Impulsive damping force is used as a secondary force to control the vibration. The instantaneous kinetic energy, potential energy and the dissipated energy in the passive damper are obtained. Using the energy balance, the equivalent linear damping of the impulsive damping is derived analytically. Numerical simulations are carried out to obtain the response of the system with and without impulsive damping using white noise. A parametric study is carried out and the effect of different intensities and impulse frequencies is investigated on the closed-loop response. The energy absorbed by the controller and the energy dissipated by the passive damper are also calculated for different feedback gains. The results from numerical simulation are compared with the results obtained analytically from the equivalent linear damping.