等变位斜齿锥齿轮动态啮合特性有限元分析  

Finite Element Analysis of Dynamic Meshing Characteristic of Skew Bevel Gear with Equivocal Modification

作　　者：冉小平 谷丽瑶 王健帆 Ran Xiaoping;Gu Liyao;Wang Jianfan(School of Mechanical Engineering,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]西南交通大学机械工程学院,四川成都610031

出　　处：《机械传动》2022年第6期31-37,共7页Journal of Mechanical Transmission

基　　金：中央高校基本科研业务费专项资金(2682020CX33)。

摘　　要：基于空间展成法加工原理,推导了等变位斜齿锥齿轮的齿面数学模型和齿面接触线方程,建立了7齿对齿面接触的有限元动态分析模型,获得了啮合周期内边缘接触的位置、不同负载下齿面接触应力和齿根弯曲应力的变化曲线,分析了斜齿锥齿轮稳定啮合时法向接触力的变化规律和轮对重合度。结果表明,斜齿锥齿轮齿对在进入和退出啮合时均发生了边缘接触,整个啮合过程的接触力曲线较为平滑,在3齿啮合区附近呈近对称分布且具有较高的重合度,最大弯曲应力出现在大轮大端和小轮小端的齿根过渡圆角附近。On the basis of the principal of gear generating machining method,the gear flank mathematical model and gear tooth flank contact line equation of skew bevel gears with equivocal modification are derived,the contact finite element dynamic analysis model with seven teeth is built,the position of edge contact in a meshing period,as well as the variation curves of contact stress and bending stress under different loads are obtained.The variation rule of normal contact force and the contact ratio of skew bevel gears in stable meshing period are analyzed. The result shows that edge contact occurs when skew bevel gears enter and exit meshing process. The contact force curve in the entire meshing period is smooth,which is symmetrically distributed near the threetooth meshing period and has a high contact ratio. The maximum bending stress occurs near the tooth root transition fillet of the large end of the driven gear and the small end of driving pinion.

关 键 词：斜齿锥齿轮 等变位 边缘接触 接触力 有限元分析 

分 类 号：TH132.41[机械工程—机械制造及自动化] TB115[理学—数学]