Dynamic behavior of a coupled elastic shaft–elastic beam system

In this study, a servomotor-driven coupled elastic shaft–elastic beam system is analyzed. The model consists of a servomotor, elastic shaft, disk, and an elastic beam attached to the disk. Equations of motion are derived with respect to the generalized coordinates of the elastic shaft and elastic beam. Nondimensional parametric equations are obtained. Three independent parameters are defined affecting the system. These are the rigidity factor, the ratio of the beam inertia to total inertia, and the ratio of the shaft inertia to total inertia. Simulations demonstrate the important role of these three parameters in the behavior of the system.