Wave propogation in and vibration of a travelling beam with and without nonlinear effects. Part II: Forced vibration

Abstract

The wave propagation in a simply supported travelling beam, studied in Part I of this paper, has been used to derive the forced responses. Based upon the wave-propagation principles, a simple method for constructing the closed-form transfer function of such a beam has been presented. The use of this transfer function offers an easy alternative to the usual modal analysis for obtaining the steady-state harmonic response. The effects of non-linearities during the steady-state oscillation, maintained by a non-resonant hard harmonic excitation, have also been studied. The present method, when compared to the conventional Galerkin's technique, requires much less computational effort.