Abstract:Abstract: A mathematical model for nonlinear rotational vibration analysis of a three pulley-Serpentine Belt Accessory Drive system (SBADs) with a One-Way Clutch is established. Gear’s method is used to calculate the angle fluctuations of driven pulleys and tensioner arm. Calculation results present that, the dynamic characteristics of the SBADs including angle fluctuations of driven pulleys and tensioner arm, tension of each belt span, and slip rate between belt and pulley decrease significantly with an one-way clutch. Then, the dynamic properties of the SBADs are investigated by different spring stiffness of the one-way clutch, and different inertia ratio of the accessory shaft and driven pulley. Moreover, an optimization design model of two parameters including the spring stiffness of the one-way clutch, and the inertia of the accessory shaft is established. In the optimization model, the minimum of the angle fluctuation of the tensioner arm, the spring torque of the one-way clutch, and the slip ratio between belt and driven pulley are taken as objective functions. The optimization parameters can be obtained by using Fminimax function in the Matlab software. The analytical results show that the dynamic responses of the SBADs decrease significantly with the optimization parameters. The methods of modeling, calculation and optimization design are instructive for the vibration control of an engine Front End Accessory Drive (FEAD) system with an one-way clutch.