考虑齿面摩擦的斜齿轮副时变啮合刚度计算方法*

doi:10.7523/j.ucas.2022.069

中国科学院大学学报

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考虑齿面摩擦的斜齿轮副时变啮合刚度计算方法^*

莫帅^1,2,3,4,†, 王冬冬¹, 胡效松¹, 刘志鹏¹

1 天津工业大学机械工程学院,天津 300387;
2 广西大学机械工程学院,南宁 530004;
3 华中科技大学数字制造装备与技术国家重点实验室,武汉 430074;
4 江苏万基传动科技有限公司,江苏泰州 225400

收稿日期:2022-03-21 修回日期:2022-06-21 发布日期:2022-06-27
通讯作者: †E-mail: moshuai2010@163. com
基金资助:
*国家自然科学基金资助项目(51805368)、中国科协青年人才托举工程资助项目(2018QNRC001)、数字制造装备与技术国家重点实验室开放基金项目(DMETKF2021017)、江苏省泰州市双创计划资助项目

Calculation method of time-varying meshing stiffness of helical gear pair based on tooth surface friction

MO Shuai^1,2,3,4, WANG Dongdong¹, HU Xiaosong¹, LIU Zhipeng¹

1 School of Mechanical Engineering, Tiangong University, Tianjin 300387, China;
2 School of Mechanical Engineering,Guangxi University, Nanning 530004, China;
3 State Key Lab of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology, Wuhan 430074, China;
4 Jiangsu Wanji Transmission Technology Co.,Ltd., Taizhou 225400, Jiangsu, China

Received:2022-03-21 Revised:2022-06-21 Published:2022-06-27

摘要/Abstract

摘要： 斜齿轮由于具有传动平稳等众多优点,在高速重载场合广泛应用。斜齿轮副在啮合时,不可避免受到摩擦力影响。因此在计算斜齿轮副的时变啮合刚度,有必要将齿面摩擦计入其中。先通过切片法将斜齿轮切成直齿轮微元薄片,再根据能量法计算微元薄片的啮合刚度,最后沿齿宽方向进行积分累加,获取斜齿轮副精准时变啮合刚度。研究斜齿轮副时变啮合刚度在零摩擦、定摩擦和时变摩擦作用下的变化规律,揭示时变摩擦作用下齿面粗糙度、转矩、转速、齿宽等参数对斜齿轮副时变啮合刚度的作用机理。研究结果表明：在摩擦力的作用下,斜齿轮副时变啮合刚度会发生变化;定摩擦作用下,斜齿轮副的时变啮合刚度会减小,定摩擦因数越大,时变啮合刚度越小;时变摩擦作用下,斜齿轮副的时变啮合刚度会随齿面粗糙度增大而减小,随输入转矩增大而增大,随转速增大而增大,随齿宽增大而增大。

关键词: 斜齿轮, 时变摩擦, 时变啮合刚度, 能量法

Abstract: Helical gears are widely used in high-speed and heavy-duty situations due to their smooth transmission and many other advantages. When helical gear pair meshing, it is inevitable to be affected by friction, so it is necessary to take tooth surface friction into account when calculating the time-varying meshing stiffness(TVMS) of helical gear pair. Firstly, the helical gear is cut into micro-element slices of spur gear by slicing method, and then the meshing stiffness of micro-element slices is calculated by energy method. Finally, the accurate TVMS of helical gear pair is obtained by integral accumulation along the tooth width direction. The change rule of TVMS of helical gear pair under zero friction constant friction and time-varying friction is studied. The action mechanism of tooth surface roughness torque speed tooth width and other parameters on TVMS of helical gear pair under time-varying friction is revealed. The results show that the TVMS of helical gear pair will change under the action of friction; Under constant friction, the TVMS of helical gear pair will decrease, and the greater the constant friction coefficient, the smaller TVMS; Under the action of time-varying friction, the TVMS of helical gear pair will decrease with the increase of tooth surface roughness, increase with the increase of input torque, increase with the increase of speed and increase with the increase of tooth width.

Key words: Helical gear, Time-varying friction, Time-varying mesh stiffness(TVMS), Energy method

中图分类号:

TP132

莫帅, 王冬冬, 胡效松, 刘志鹏. 考虑齿面摩擦的斜齿轮副时变啮合刚度计算方法^*[J]. 中国科学院大学学报, DOI: 10.7523/j.ucas.2022.069.

MO Shuai, WANG Dongdong, HU Xiaosong, LIU Zhipeng. Calculation method of time-varying meshing stiffness of helical gear pair based on tooth surface friction[J]. Journal of University of Chinese Academy of Sciences, DOI: 10.7523/j.ucas.2022.069.

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考虑齿面摩擦的斜齿轮副时变啮合刚度计算方法^*

Calculation method of time-varying meshing stiffness of helical gear pair based on tooth surface friction

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