Flexural Vibrations of Rods with Viscoelastic Coating Subjected to Axial Force

Abstract

The governing equation of the flexural free vibration of a viscoelastic bar with a viscoelastic coating subjected to a static axial force is developed by utilizing the Bernoulli-Euler beam theory. The general solution is obtained for a simpy supported coated bar where both core and coating materials are described by a four element linear viscoelastic model. As a numerical example, the free vibration of a coated bar, composed of core and coating materials described by the standard linear solid and Max-well models, respectively, has been analysed. In the present example, the results show that the effect of damping increases monotonically with an increase in the ratio of the sectional area of coating to that of core and also the application of an axial compressive force to a viscoelastic coated bar yields high damping.