Free transverse vibrations of elastically connected simply supported double-beam complex system

In this paper, the free vibration analysis of two parallel simply supported beams continuously joined by a Winkler elastic layer is presented. The motion of the system is described by a homogeneous set of two partial differential equations, which is solved by using the classical Bernoulli-Fourier method. The natural frequencies of the system are determined. The initial-value problem is considered to find the final form of the free vibrations. The free vibrations of an elastically connected double-beam complex system are realized by synchronous and asynchronous deflections. The presented theoretical analysis is illustrated by a numerical example, in which the effect of physical parameters characterizing the vibrating system on the natural frequencies is investigated. (C) 2000 Academic Press.