Response characteristics of a sandwich plate with visco-elastomer core and periodically supported masses under random excitation

Abstract

Vibration control of structures with supported masses under random loading is an important problem. Adjustability of dynamic characteristics such as frequency response and response spectrum is important properties for structural vibration control. In the present paper, stochastic response adjustability of VE sandwich plates having periodically distributional supported masses under random base motion loading is studied. The VEC has dynamic properties changeable. Partial differential equations of coupling motions of the sandwich plate with supporting masses are derived and converted into ordinary differential equations for coupling mode motion using Galerkin method. Then FR and RS expressions of the plate system are obtained based on random dynamics theory. Numerical results are given to show the effects of sandwich plate parameters and periodic masses on stochastic response characteristics of the plate.