Dynamic Behavior of a Harmonically Excited Plate with an Elastically Attached Mass

Abstract

In this work, we study the frequency response of a plate (host structure ) with an elastically
attached mass. The plate is harmonically excited with a sinusoidal force of variable frequency and its amplitude is then observed at a given predetermined point. The attached mass is modelled as a three degree of freedom (3-DOF) system and is elastically attached to the plate by four springs and dashpots in parallel with the plate. After solving the dynamics of the coupled system, we analyze the frequency response of the plate as the parameters of the 3-DOF system are changed. Then, it is reasonable to think the 3-DOF system as a dynamic vibration absorber to control the vibration amplitude of the plate for the set of values of the parameters that give the best results for the required performances. The range of frequencies under study includes the  rst three resonance frequencies of the plate.