Effect of compressive axial load on forced transverse vibrations of a double-beam system

Based on Bernoulli–Euler beam theory, the forced transverse vibrations of an elastically connected simply supported double-beam system under compressive axial load are investigated. It is assumed that the two beams of the system are continuously joined by a Winkler elastic layer. The dynamic responses of the system caused by arbitrarily distributed continuous loads are obtained. The effects of compressive axial load on the forced vibrations of the double-beam system are discussed for two cases of particular excitation loadings. The properties of the forced transverse vibrations of the system are found to be significantly dependent on the compressive axial load.