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Multiribbed serpentine belt drive systems are widely adopted in accessory drive automotive applications due to the better performances relative to the flat or V-belt drives. Nevertheless, they can generate unwanted noise and vibration which may affect the correct functionality and the fatigue life of the belt and of the other components of the transmission. The aim of the paper is to analyze the effect of the shear deflection in the rubber layer between the pulley and the belt fibers on the rotational dynamic behavior of the transmission. To this end the Firbank's model has been extended to cover the case of small amplitude vibrations about mean rotational speeds. The model evidences that the shear deflection can be accounted for by an elastic term reacting to the torsional oscillations in series with a viscous term that dominates at constant speed. In addition, the axial deformation of the belt spans are taken into account. The numerical model has been validated by the comparison with the experimental results obtained on an accessory drive transmission including two pulleys and an automatic tensioner. The results show that the first rotational modes of the system are dominated by the shear deflection of the belt.
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... Apart from using the creep theory and shear theory discussed above for theoretical analysis of contact mechanics between belt and pulley, many other simulation methods like multibody dynamics methods [117,118,[204][205][206][207][208][209][210][211][212][213][214][215][216] and, FE methods [217][218][219][220][221][222][223][224][225][226] , etc., have also been widely used to simulate static and dynamics of belt drive systems especially belt-pulley contact behaviors. ...
... Apart from the methods mentioned above, three dimensional (3D) FE models were established by many researchers [217][218][219][220][221][222][223][224][225][226][227] to calculate static and dynamic responses of belt drive systems especially belt-pulley contact behaviors. In these FE simulation models, hyperelastic models like the Moonley-Rivlin model and Ogden model are the mostly used material constitutive models for the rubber compounds in a belt. ...
... Based on a hyperelastic material model, Xu et al. [218] built a 3D FE model to simulate tracking performances of an automotive serpentine belt drive system using the commercial FE software ABAQUS. The effect of the shear deflection in the rubber layer between the pulley and the belt fibers on the rotational dynamic behaviors of the belt transmission was then specifically analyzed by Tonoli et al. [219] . Similarly, Shieh and Chen [220] established a 3D FE model of a V-belt drive system to investigate three frictional contact behaviors between the V-belt and pulley flanges. ...
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In this paper, studies on dynamic modeling, simulation and experiment of power transmission belt drives are comprehensively reviewed. In the past few decades, many investigations are conducted on dynamicmodeling, simulation and experiment of different kinds of power transmission belt drive systems. In the dynamic modeling and simulation of the belt drive systems, surveys are focused on vibrations of a single axially moving belt span, rotational vibrations of pulley components, coupled belt-pulley vibrations and contact mechanics between the belt and pulley as well as some experimental investigations. Influences of tensioner dry friction and one-way clutch on dynamics of the belt drive systems including system rotational vibrations and coupled belt-pulley vibrations are separately reported. The investigations are also surveyed on modeling and predicting complicated belt-pulley contact behaviors like belt creeps and slips on pulleys, contact force distributions of the belt and pulley, and variation of wrap angles ofa belt around pulleys, etc., which are categorized by different approaches including the creep theory, shear theory, multi-body dynamics and finite element methods. Fatigue life estimation and failure analysis of power transmission belt drives are discussed in detail as well. In addition, experimental techniques are reviewed on parameters identifications, and measurements of static and dynamic performances including energy/power loss, system vibration, dynamic belt tension, belt deformation, stress and strain distribution in the belt and pulley, and contact friction force, etc. Finally, conclusion of this work is summarized and topics of future potential studies on the power transmission belt drive systems are suggested.
... One of the common and useful ways to model mechanical systems is via the bond graph method, where exchanges of energy are modeled to simulate the behavior of the system. The method is discussed in depth in [58][59][60][61]. Bond graphs can also be used to generate algorithms to monitor operations in industries [62]. ...
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... One of the common and useful ways to model mechanical systems is via the bond graph method, where exchanges of energy are modeled to simulate the behavior of the system. The method is discussed in depth in [1][2][3][4]. Bond graphs can also be used to generate algorithms to monitor operations in industries [5]. ...
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... This not only used the classical creep and shear theories to analyze the effects of seating and unseating of a flat belt drive, but it also helped understand the flat belt mechanics taking into account the many other factors mentioned earlier. Studies to investigate the effect of shear deflection and axial deformation in the rubber layer between the pulley and the belt fibers on the rotational dynamic behavior of the transmission were used to make a numerical model for comparison with the experimental results that were obtained (Tonoli et al., 2006). The study of the power transmission from a pulley to a thin, elastic flat belt in the creep region had been successfully carried out by Belofsky (1973). ...
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