Linear Dynamic Analysis of Viscoelastic Laminated Composite Plates

The linear dynamic response of viscoelastic laminated composite plates is analysed in the time domain under different loading and boundary conditions. A generalized Weichert model is used to model the viscoelastic behaviour of the composite structure. The constitutive equation in the form of a Boltzmann integral is converted to the incremental form for finite element formulation based on the Reissner–mindlin plate theory. The equation of motion is solved using Newark’s time integration technique. A recursive relation is developed to compute the current time solution using only the previous time-step solution. A detailed parametric study is carried out to analyse the influence of loading type, boundary conditions, and lamination scheme on the linear dynamic response of viscoelastic composite plates. The significant differences in amplitude, frequencies, and damping ratio are observed with change in boundary conditions as well as the lamination schemes.