Dynamic response of viscoelastic beam

Dynamic analysis of the viscoelastic simple supported beam has been made in accordance with the relationship between stress and strain expressed by the simplest Voigt mechanical model, from which several analytic expressions have been obtained.It is shown that the reduction of the ratio of natural frequencies progresses with the increase of the exciting frequency for high modes (Tab.1). In the final part of this paper, the forced vibration of simple supported beam subjected to a random and harmonic excitation has also been dealt with, and the representations of the beam deflection have been derived.This paper was read at the 1980 Annual Meeting of Shanxi Association of Mechanics.