Forced vibration responses of a two rigid-body model with floating base

In order to analyze the influence of forced vibration on dynamic responses of a multi-body system with floating base, the system was simplified into a two rigid-body model connected by smooth joint. The dynamic responses of the system were solved by using the transfer matrix theory of multi-body dynamics. The time histories of motion of the system were obtained under the condition of the floating base acted by forced periodic rolling motion or waves. The results of numerical simulation show that the swing of the lifted weight becomes severe with the increase of amplitude and frequency of the forced vibration, but is not influenced by the length variation of the rope. The oscillation amplitudes of the floating base and the lifted weight under the action of transverse regular wave increase with the increase of the rope length and arm elevation.