Oscillations of a visco‐elastic belt drive

Abstract

We investigate the loss of stability of the steady configuration of a planar visco-elastic belt drive. The belt is considered as a linearly visco-elastic slender beam with small bending stiffness, which is driven by a steadily rotating drum. Due to the presence of the small damping parameter and the small bending stiffness, the equations of motion are severly singularly perturbed. By variation of system parameters, like the driving speed, the damping coefficient, the tension force and the radius of the drums, we calculate the steady configuration and the stability limit of the belt. Our calculations show, that the viscous damping, the distributed load and the strong bending at the drums can decrease the critical driving speed significantly and lead to flutter oscillations.