In this paper, we present a study on the stick-slip torsional vibration of the spinning shaft in an automotive water pump. We propose a dynamic rotor model with a pulley, an impeller, a mechanical seal and a shaft to analyze the stick-slip vibration of a water pump. The dynamic states of the mechanical seal are classified into stick and slip states depending on whether the seal and mating rings of the mechanical seal have relative motion or not. We derived the partial differential equations of motion and the corresponding boundary conditions for each state of the seal. In addition, we established a judgement criterion for the stick and slip states of the seal. After the equations of motion were discretized by a proposed finite element procedure, the dynamic responses of the rotor system of a water pump were computed by using the generalized-a time integration method. Furthermore, we analyzed the effects of various system parameters on stick-slip vibration, including the mass moment of inertia for the pulley, the drag torque at the impeller, the external torque at the pulley, and the normal force between the seal and mating rings.

中文翻译：

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汽车水泵中粘滑现象的动力学分析

在本文中，我们对汽车水泵中纺纱轴的粘滑扭转振动进行了研究。我们提出了一个带有皮带轮，叶轮，机械密封件和轴的动态转子模型，以分析水泵的粘滑振动。机械密封件的动态状态根据机械密封件的密封件和配合环是否具有相对运动而分为粘着状态和滑动状态。我们导出了密封的每个状态的运动偏微分方程和相应的边界条件。此外，我们为密封的粘滞和滑移状态建立了判断标准。通过提议的有限元程序离散运动方程后，利用广义时间积分法计算了水泵转子系统的动力响应。此外，我们分析了各种系统参数对粘滑振动的影响，包括皮带轮的质量惯性矩，叶轮的阻力扭矩，皮带轮的外部扭矩以及密封圈和配合环之间的法向力。