单根多楔带传动系统带横向振动的计算方法

A method for calculating belt transverse vibration in serpentine belt drive systems

以一典型的由驱动轮、从动轮、张紧器和多楔带组成的三轮-带传动系统为研究对象,建立了三轮-带传动系统轮-带耦合振动计算的数学模型。模型中,带简化为纵向运动伯努利-欧拉梁,各轮和张紧器简化为刚性旋转元件。应用边界值问题(BVP)求解技术计算了带横向位移的稳态解;带的横向振动位移为时间与空间的函数,为求解方便,应用迦辽金法将其离散为时间函数和空间函数之积,计算了各带的横向振动。实验测试了一三轮-带传动系统中带的横向振动和轮的旋转振动。论文对计算结果与实测结果进行了对比,结果表明,计算值与实测值吻合较好,从而验证了模型和论文计算方法。文中计算带横向振动的方法,对计算发动机前段附件驱动系统等复杂的多楔带传动系统动态特性具有参考价值。

A Prototypical Serpentine Belt Drive System（PSBDS）,which includes driving pulley,driven pulleys,one tensioner and belt,is taken as a research example for calculating transverse vibration of a belt in serpentine belt drive systems.A model for estimating the transverse vibration of the belt in a PSBDS is proposed.In the model,the belt is simplified as a moving Bernoulli-Euler beam,and the pulley and the tensioner arm is regarded as rotational rigid body.The transverse vibration of belts in PSBDS in steady state is obtained using Boundary Value Problem solving technology.The transverse displacements of belts are continuous function with time and belt location variables.To use conventional methods for solving discrete system equations,the vibration equations of belts are discreted using Garlerkin method.An experiment is carried out for getting the vibration of belts and pulleys,and the test results are compared with calculations.It is shown that the experiment and calculation data for belt transverse vibrations and rotational response of pulleys agrees well,which validate the calculation methods proposed in this paper.The method presented in this paper is useful for designing complex serpentine belt drive system,such as engine front end accessory drive systems.