基于圆柱齿轮齿顶修形的弧线齿面齿轮齿面设计研究  

Research on Tooth Surface Design of Curved Tooth Face Gear based on Cylindrical Gear Addendum Modified

作　　者：陈勇 冯占荣[1] 赵玉龙 黄宁 高凌锋 熊光劲 Chen Yong;Feng Zhanrong;Zhao Yulong;Huang Ning;Gao Lingfeng;Xiong Guangjin(School of Aeronautical Manufacturing Engineering,Nanchang Hangkong University,Nanchang 330063,China)

机构地区：[1]南昌航空大学航空制造工程学院,江西南昌330063

出　　处：《机械传动》2021年第5期36-41,共6页Journal of Mechanical Transmission

基　　金：无损检测教育部重点实验室开放基金(ZD201229010);江西省教育厅科学技术研究项目(GJJ160701)。

摘　　要：面齿轮是一种由渐开线圆柱齿轮与近似锥齿轮相互啮合的一种新的齿轮传动形式。弧线齿面齿轮是以渐开线弧线齿圆柱齿轮为假想刀具包络展成的面齿轮。推导了面齿轮工作齿面方程,并对圆柱齿轮齿顶进行圆角化修形设计;推导了截面圆角方程、圆角曲面方程以及修形后的弧线齿面齿轮过渡曲面方程,并通过Matlab对两种齿顶形式的圆柱齿轮建立数学模型,得知齿顶圆角包络产生的面齿轮要比齿顶尖角包络产生的面齿轮在内径齿根部的齿厚更大。研究结果表明,对刀具齿顶进行圆角化不仅可以避免面齿轮与圆柱齿轮边缘接触导致面齿轮齿面磨损,还可以增大面齿轮内径齿根处的厚度,该种面齿轮修形方式也为其他齿形面齿轮提供了理论依据。Face gear is a new gear transmission form in which involute cylindrical gear and approximate bevel gear mesh with each other.The curved tooth face gear uses the involute arc tooth cylindrical gear as the face gear formed by the imaginary tool envelope.The working tooth surface equation of the face gear is derived,and the fillet modification design of the tooth tip of the cylindrical gear is carried out.Cross-section fillet equation,fillet surface equation,and modified curved tooth surface transition surface equation are deduced,and the mathematical model of the two kinds of tooth tip cylindrical gears is established by Matlab.It is found that the tooth thickness of the face gear generated by the top fillet envelope is larger than that of the face gear generated by the top fillet envelope at the root of the inside diameter.The research results show that rounding the tool tooth tip can not only avoid the contact of the face gear and the cylindrical gear edge causing the face gear tooth surface wear,but also increase the thickness of the tooth root of the inner diameter of the face gear.This type of face gear modification also provides a theoretical basis for other tooth profile face gears.

关 键 词：弧线齿面齿轮 圆柱齿轮齿顶圆角化 修形 过渡曲面 

分 类 号：TH132.41[机械工程—机械制造及自动化]