Suppression of Parametric Resonance of a Cantilever Beam by a Pendulum-Type Vibration Absorber

Abstract

Abstract The dynamic response of a parametically excited cantilever beam with a pendulum-type vibration absorber is presented. The equation of motion and the associated boundary conditions are derived considering the static friction for the rotating motion at the pivot of the pendulum. It is thoretically shown that the static friction plays a dominant role in the suppression of the parametric resonance. The boundary conditions are different between the cases when the motion of the pendulum is locked by the static friction and when it’s not. According to this variation of the boundary conditions depending on the pendulum motion, the natural frequencies of the system are automatically changed and the unstable regions for the parametric resonance are also shifted, so that the parametric resonace does not occur. Furthermore experimental results verify the effectiveness of the pendulum as a vibration absorber for the parametric resonance.