Steady State Responses of Pulley Belt Systems With a One Way Clutch and Belt Bending Stiffness

Abstract

A nonlinear hybrid discretecontinuous dynamic model is established to analyze the steadystate response of a pulleybelt system with a oneway clutch and belt bending stiffness. For the first time, the translating belt spans in pulleybelt systems coupled with oneway clutches are modeled as axially moving viscoelastic beams. Moreover, the model considers the rotations of the driving pulley, the driven pulley, and the accessory. The differential quadrature and integral quadrature methods are developed for space discretization of the nonlinear integropartialdifferential equations in the dynamic model. Furthermore, the fourstage Runge–Kutta algorithm is employed for time discretization of the nonlinear piecewise ordinary differential equations. The time series are numerically calculated for the driven pulley, the accessory, and the translating belt spans. Based on the time series, the fast Fourier transform is used for obtaining the natural frequencies of the nonlinear vibration. The torquetransmitting directional behavior of the oneway clutch is revealed by the steadystate of the clutch torque in the primary resonances. The frequencyresponse curves of the translating belt, the driven pulley, and the accessory show that the oneway clutch reduces the resonance of the pulleybelt system. Furthermore, the belt cross section's aspect ratio significantly affects the dynamic response.