Homogenised formulation for plates with thick constrained viscoelastic core

The present work analyses the dynamic behaviour of constrained layer damping (CLD) plates with thick viscoelastic layer. The bending modes and transverse response of such plates are obtained by adapting the Kirchhoff-Love thin plate formulation so that it considers the shear stiffness by using a frequency dependent equivalent flexural stiffness. The developed formulation is introduced in a finite element model and compared to the widely used RKU model and a reference 3D solid model in terms of eigenpairs and amplitude of the response for different boundary conditions. It is concluded that the developed formulation can substitute either a 3D or RKU model as it requires less computational resources than the former and provides more accurate results than the latter. (C) 2019 Elsevier Ltd. All rights reserved.