基于齿面通用模型的不同齿廓内啮合章动锥齿轮建模与接触分析  

Modeling and Contact Analysis of Internal Meshing Nutation Spiral Bevel Gear with Different Tooth Profiles based on General Tooth Surface Model

作　　者：林铮 姚立纲[2] Lin Zheng;Yao Ligang(College of Mechanical and Electrical Engineering,Wuyi University,Wuyishan 354300,China;School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou 350108,China)

机构地区：[1]武夷学院机电工程学院,福建武夷山354300 [2]福州大学机械工程及自动化学院,福建福州350108

出　　处：《机械传动》2020年第9期58-63,113,共7页Journal of Mechanical Transmission

基　　金：国家自然科学基金(51775114);福建省中青年教师教育科研项目(JAT160510,JAT190777)。

摘　　要：内啮合章动弧齿锥齿轮齿面数学模型推导过程较为复杂。为了建立不同齿廓章动锥齿轮模型并进行加载接触分析,利用通用法向基本齿廓建立了假想媒介冕齿轮齿面通用数学模型。根据冕齿轮与章动内啮合弧齿锥齿轮的啮合关系,推导得到适于不同齿廓的章动弧齿锥齿轮齿面通用数学模型。再以渐开线与双圆弧为法向基本齿廓,分别建立了渐开线和双圆弧两种齿廓的章动弧齿锥齿轮齿面模型及其三维模型。利用有限元软件分别对高低功率、不同齿廓的章动内啮合弧齿锥齿轮进行了加载接触分析。结果表明,负载大小对渐开线弧齿锥齿轮的加载接触特性影响较大;双圆弧弧齿锥齿轮相对于渐开线弧齿锥齿轮具有承载能力更大、传动更平稳的优点。The derivation process of the tooth surface mathematical model of the internal meshing spiral bevel gears for nutation drive is complex.In order to establish different tooth profiles of the spiral bevel gears and carry out load contact analysis,the general tooth surface mathematical model of the crown gear is established by using the general normal basic tooth profile.According to the meshing relationship between the crown gear and the external and internal spiral bevel gears,the general tooth surface mathematical model of the nutation spiral bevel gear is derived.Then the tooth surface models and three-dimensional models of the nutation spiral bevel gears with involute and double circular-arc as the normal basic tooth profiles are established.The load contact analysis of spiral bevel gears with high and low power and different tooth profiles is carried out by using the finite element software.The results show that the load has a great influence on the load contact characteristics of involute spiral bevel gear.The double circular-arc spiral bevel gear have the advantages of larger load capacity and more stable transmission compared with spiral bevel gear.

关 键 词：齿面通用模型 章动传动 弧齿锥齿轮 渐开线 双圆弧 加载接触分析 

分 类 号：TH132.41[机械工程—机械制造及自动化]