Vibration and control of axially moving belt system: Analysis and experiment by parametric excitation

High-speed operation is required for industrial machines equipped with belt driving systems. The belt is, however, subject to a speed limitation barri er due to the occurrence of bending mode vibration resonances caused by mac hinery error, for example, pulley eccentricity. To combat these resonances of the linear system, the parametric excitation method providing the belt t ension fluctuation is proposed through the concept of the open-loop vibrati on control theory. This analysis considers two types of fluctuation excitat ion featured by the frequency synchronized with one or two times the pulley revolution. In this paper, the mathematical model is analyzed by using the equation of motion of the forced vibration including the parametric excita tion. We apply this method to the belt system and test the validity of it t hrough experimentation.