Newtonian and Variational Formulations of the Dynamics of Plates with Active Constrained Layer Damping Treatments

Abstract

In this paper we present Newtonian and variational formulations of the dynamics of plates treated fully with active constrained layer damping (ACLD). The governing equations of the plate/ACLD system are derived to describe the interaction between the dynamics of the plates, the viscoelastic damping layer and the active piezoelectric constraining layers. The developed equations of the plate/ACLD system provide analytical models for predicting the dynamics of laminated plates subjected to passive and active vibration damping controls. Numerical solutions of the analytical models are presented for simply-supported plates in order to study the performance of the plate/ACLD system for different control strategies. The developed models present invaluable means for designing and predicting the performance of the smart laminated plates that can be used in many critical engineering applications.