In-Plane Vibration of Viscoelastic Circular Rod with Consideration of Shearing Deformation and Rotatory Inertia

Abstract

This paper discusses the problem of in-plane vibrations of a viscoelastic circular rod under the consideration of rotatory inertia and shearing deformation. A three-element viscoelastic model is adopted in the analysis, and the solution for the viscoelastic rod is obtained from the correspondence principle by applying the Laplace transform to the constitutive equation for the viscoelastic materials and the equation of motion for the elastic rod developed from the improved theory. The results obtained are compared with those for the elementary theory which are obtained by neglecting the effects of the shear and the rotatory inertia in this study.