渐开线斜齿轮传动摩擦动力学耦合研究

doi:10.3901/JME.2019.03.109

机械工程学报 ›› 2019, Vol. 55 ›› Issue (3): 109-119.doi: 10.3901/JME.2019.03.109

渐开线斜齿轮传动摩擦动力学耦合研究

邹玉静¹, 庞峰², 樊智敏¹

1. 青岛科技大学机电工程学院青岛 266061;
2. 青岛市计量技术研究院青岛 266101

收稿日期:2018-04-19 修回日期:2018-09-08 出版日期:2019-02-05 发布日期:2019-02-05
通讯作者: 樊智敏(通信作者),男,1963年出生,博士,教授。主要研究方向为齿轮系统动力学。E-mail:zmfan@163.com
作者简介:邹玉静,女,1977年出生,博士,主要研究方向为齿轮传动与润滑。E-mail:zouyujing-007@163.com;庞峰,男,1977年出生,硕士。主要研究方向为计量测试技术。E-mail:lsnada@163.com
基金资助:
山东省自然科学基金（ZR2018MEE014）和山东省重点研发计划（2018GGX103015）资助项目。

Coupling Research on Dynamical Behavior and Elastohydrodynamic Lubrication Property of Helical Gear

ZOU Yujing¹, PANG Feng², FAN Zhimin¹

1. College of Electromechanical Engineering, Qingdao University of Science & Technology, Qingdao 266061;
2. Qingdao Institute of Measurement Technology, Qingdao 266101

Received:2018-04-19 Revised:2018-09-08 Online:2019-02-05 Published:2019-02-05

摘要/Abstract

摘要： 综合考虑时变啮合刚度、轴承刚度以及摩擦力等对动力学行为的影响，基于载荷分担理论和动力学、弹流润滑理论，建立12自由度斜齿轮摩擦动力学模型。采用解耦方法求解该摩擦动力学模型，将动力学求解获得的动态轮齿作用力用于润滑分析中，而润滑分析获得的摩擦因数再次用于动力学分析计算中。通过实例研究了齿面摩擦学特性和动力学行为以及两者之间的耦合关系。研究表明：考虑耦合效应后的斜齿轮动态响应与定摩擦因数下的动态响应相比有较大不同，且时变摩擦力对垂直于啮合线方向的动态响应影响尤为显著；动态载荷等对斜齿轮润滑特性影响较大，转速接近共振转速时，动态载荷作用下的油膜厚度、油膜承载比例、油膜温升和摩擦因数分布规律与幅值与稳态载荷相比差异明显。动态载荷对斜齿轮润滑特性以及时变滑动摩擦力对动态响应的影响不可忽略。

关键词: 动力学行为, 渐开线斜齿轮, 摩擦动力学模型, 载荷分担理论

Abstract: A twelve-degree-of-freedom tribo-dynamics model for helical gear pair is proposed based on load sharing theory, dynamics and elastohydrodynamic lubrication theory. Time-varying mesh stiffness,bearing stiffness, as well as the friction force are considered when establishing the model. A decoupling method of dynamics and tribology is proposed to solve the lubrication and dynamics models simultaneously. In the iterative loop, the dynamic model predicted the dynamic tooth forces to be used in the lubrication model. In return, the gear lubrication model is provided the dynamic model with periodic friction coefficient. An example gear pair is analyzed using the proposed model and method to demonstrate this coupling relationship between tribological and dynamic behaviors. The results show that the helical gear's dynamic response with consideration of coupling effect is different from the dynamic response under the constant friction factor. Friction force has significant effect on dynamic response that's perpendicular to action line. Dynamic load offects lubrication property greatly. Moreover, when the working rotational speed is approaching the resonance speed, compared with steady load, the distribution and amplitude of oil film thickness, portion of load carried by film, film temperature rise and the friction coefficient the oil film thickness is quite different. The influence of dynamic load on helical gear's lubrication property can't be ignored, so does the influence of time-varying sliding friction on dynamic response.

Key words: dynamic behavior, helical gear, load sharing theory, tribo-dynamics model

中图分类号:

TH132
TH117

邹玉静, 庞峰, 樊智敏. 渐开线斜齿轮传动摩擦动力学耦合研究[J]. 机械工程学报, 2019, 55(3): 109-119.

ZOU Yujing, PANG Feng, FAN Zhimin. Coupling Research on Dynamical Behavior and Elastohydrodynamic Lubrication Property of Helical Gear[J]. Journal of Mechanical Engineering, 2019, 55(3): 109-119.

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渐开线斜齿轮传动摩擦动力学耦合研究

Coupling Research on Dynamical Behavior and Elastohydrodynamic Lubrication Property of Helical Gear

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