This article is aimed to investigate the stick–slip oscillations of an engine front-end accessory drive system with a mechanical tensioner. Based on several assumptions, a generic dynamic model of rotational vibrations of an engine front-end accessory drive system with arbitrary number of accessory pulleys and one mechanical tensioner is established. In this model, the tensioner dry-friction torque is approximated by a hyperbolic tangent function with a scaling factor to control the sticking zone. An improved multiple harmonic balance method is used to solve the governing equations of rotations of the engine front-end accessory drive system and obtain the periodic rotational vibrations of the system accessory components. The calculation results obtained from the improved multiple harmonic balance method are verified by the results obtained from the Runge–Kutta integration method. Amplitude–frequency responses of rotational vibrations of the accessory components in the engine front-end accessory drive system are calculated using the arc-length technique based on the improved multiple harmonic balance method. Stick–slip oscillations of the tensioner arm with different values of the tensioner dry-friction torque are calculated and influences of the tensioner dry-friction on system rotational vibration amplitudes are analyzed. Variations of system vibration energies dissipated by the tensioner dry-friction at different crankshaft speeds with increases of the maximum tensioner dry-friction torque are calculated, and an optimum design of the tensioner dry-friction damping is given according to the results.

中文翻译：

---

带有机械张紧器的发动机前端附件驱动系统的粘滑振荡

本文旨在研究带有机械张紧器的发动机前端附件驱动系统的粘滑振荡。基于若干假设，建立了具有任意数量附件皮带轮和一个机械张紧器的发动机前端附件驱动系统旋转振动的通用动力学模型。在该模型中，张紧器干摩擦扭矩由双曲正切函数近似，该函数具有用于控制粘连区的比例因子。采用改进的多谐平衡法求解发动机前端附件驱动系统的旋转控制方程，得到系统附件的周期性旋转振动。Runge-Kutta 积分方法的结果验证了改进的多谐波平衡方法的计算结果。基于改进的多谐平衡法，采用弧长技术计算发动机前端附件驱动系统中附件旋转振动的幅频响应。计算了张紧器臂在不同张紧器干摩擦扭矩值下的粘滑振荡，并分析了张紧器干摩擦对系统旋转振动幅值的影响。计算了在不同曲轴转速下张紧轮干摩擦耗散的系统振动能量随最大张紧轮干摩擦扭矩的增加而变化，