Dynamic Responses of Viscoelastic Continuous Beams on Elastic Supports

Abstract

This paper deals with the vibration and the transient response problems of a viscoelastic continuous beam on non-periodic elastic supports. In the analysis, the restoring forces of the elastic supports are regarded as unknown external forces applied to the beam. The solution for the viscoelastic beam is obtained from the correspondence principle by applying the Laplace transform to the constitutive equation and the equation of motion for the elastic beam in terms of these unknown forces.