正交弧线齿面齿轮修形研究及顶尖分析  

Study on Modification and Tooth Tip Sharping Analysis of Orthogonal Arc Tooth Face Gears

作　　者：冯占荣[1] 熊光劲 高凌锋 罗超 Feng Zhanrong;Xiong Guangjin;Gao Lingfeng;Luo Chao(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》2022年第6期38-44,共7页Journal of Mechanical Transmission

摘　　要：以弧线齿圆柱齿轮作为假想刀具,用包络法展成正交弧线齿面齿轮。根据微分几何计算和齿轮啮合原理,推导了弧线齿圆柱齿轮及面齿轮的齿面方程。再基于Matlab平台建立工作齿面及过渡曲面的数学模型,通过改变弧齿圆柱齿轮轮齿的凹齿面半径对面齿轮进行修形,对比分析修形前后面齿轮齿厚和齿宽的变化情况以及对接触迹线的影响。最后,通过导出修形前后面齿轮的齿面点集,在CATIA零件设计中进行实体建模。得出结论,增大弧齿圆柱齿轮凹侧齿线半径会增大面齿轮的外径,同时,面齿轮的齿顶变尖现象会发生变化,即面齿轮外径处的齿厚逐渐增大,接触迹线基本不发生变化。为后续研究面齿轮的偏载特性奠定了基础。Cylindrical gears with arc teeth as imaginary knife,which generate orthogonal arc tooth face gears using the envelope forming theory.Tooth surface equations of cylindrical gears with arc teeth and face gears are derived,which are based on differential geometry calculation and principle of gear meshing.Mathematical models of working tooth surface and transitional tooth surface are established based on Matlab.With the radius of tooth surface of cylindrical gears with arc teeth changed,the changes of tooth thickness,tooth width and contact line of face gears and the influence on contact trace are compared and analyzed by modifying of the face gear.Finally,through deriving the tooth point set of the face gear before and after modification,the entity modeling in the CATIA parts design is carried out.It is concluded that,with the increase of the radius of concave tooth surface of cylindrical gears with arc tooth,the outer radius of the face gear will have an augment.In the meanwhile,the phenomenon of tooth tip sharpening of face gear will change,that is the tooth thickness at the outer radius of the face gear increases gradually,the contact line has little change.The conclusions have laid a foundation for future research on partial load characteristics of face gears.

关 键 词：弧线齿 面齿轮 修形 齿顶变尖 

分 类 号：TH132.41[机械工程—机械制造及自动化]