Vibrations and Dynamic Response of Viscoelastic Plates on Nonperiodic Elastic Supports

Abstract

This paper discusses the vibration and transient response problems of nonperiodically elastic supported viscoelastic continuous plate. The three-element viscoelastic model is adopted in the analysis. The solution for the plate is obtained from the correspondence principle by applying the Laplace transform to the constitutive equation and the equation of motion for the elastic plate. Expressions of displacements and bending moments for an impact load are obtained, and the results for the viscoelastic plate are compared with those for the elastic plate.