Wave propagation in and vibration of a travelling beam with and without non-linear effects, part II: Forced vibration

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 close d-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 f or obtaining the steady-state harmonic response. The effects of non-lineari ties during the steady-state oscillation, maintained by a non-resonant hard harmonic excitation, have also been studied. The present method, when comp ared to the conventional Galerkin's technique, requires much less computati onal effort. (C) 2000 Academic Press.