Vibration damping using four-layer sandwich

This paper discusses vibration damping using four-layer sandwich beam. The present work deals with the analysis of vibration of the primary system having a mass and rubber spring mounted on a four-layer viscoelastic simply supported symmetrically arranged sandwich beam. The equation of motion of a general four-layer with alternate elastic layer and viscoelastic layer simply supported sandwich beam is first derived using the method of equilibrium of forces and beam theory. The above differential equation has been solved for harmonically force excited sandwich beam by applying suitable boundary conditions to get the impedance of the sandwich beam. This impedance is then combined with the impedance of the primary system to obtain the expression for the response of harmonically excited mass and then the expression for transmissibility is obtained. The effectiveness of geometrical and physical parameters in minimizing response and transmissibility for central mounting of the primary system is evaluated.