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

作　　者：莫帅 王冬冬 胡效松 刘志鹏 MO Shuai;WANG Dongdong;HU Xiaosong;LIU Zhipeng(School of Mechanical Engineering,Tiangong University,Tianjin 300387,China;School of Mechanical Engineering,Guangxi University,Nanning 530004,China;State Key Lab of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan 430074,China;Jiangsu Wanji Transmission Technology Co.,Ltd.,Taizhou 225400,Jiangsu,China)

机构地区：[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

出　　处：《中国科学院大学学报（中英文）》2024年第4期558-565,共8页Journal of University of Chinese Academy of Sciences

基　　金：国家自然科学基金(51805368、52265004);中国科协青年人才托举工程(2018QNRC001);数字制造装备与技术国家重点实验室开放基金(DMETKF2021017);江苏省泰州市双创计划项目资助。

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,不可避免地受到摩擦力影响。因此在计算斜齿轮副的时变啮合刚度时,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,且定摩擦因数越大,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,分别随输入转矩、转速和齿宽的增大而增大。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 inevitablely 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 the slicing method,and then the meshing stiffness of micro-element slices is calculated by the 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 are 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,speed,and tooth width,respectively.

关 键 词：斜齿轮 时变摩擦 时变啮合刚度 能量法 

分 类 号：TP132[自动化与计算机技术—控制理论与控制工程]