偏置正交弧线齿面齿轮的齿面设计及实体建模  

Tooth Surface Design and Solid Modeling of Offset Orthogonal Arc Tooth Face Gear

作　　者：冯占荣[1] 高凌锋 方平[1] 熊光劲 罗超 Feng Zhanrong;Gao Lingfeng;Fang Ping;Xiong Guangjin;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》2021年第9期92-96,共5页Journal of Mechanical Transmission

基　　金：江西省教育厅科学技术研究项目(GJJ160701)。

摘　　要：提出了一种新型的偏置正交面齿轮。以弧线齿圆柱齿轮作为假想刀具,并对其施加一定偏置距离,用包络法展成偏置正交弧线齿面齿轮。根据微分几何和齿轮啮合原理,推导了偏置面齿轮的齿面方程,并在Matlab中建立了工作齿面及过渡曲面的数学模型。以此模型为基础,施加了两种不同的偏置距离,通过分析方程组与对比齿面模型可知,偏置距离对齿形的影响主要体现在齿高上,而齿宽和齿厚上的改变则不明显。最后,通过导出齿面点集,在Catia零件设计平台实现了偏置正交弧线齿面齿轮的实体建模,为后续对该类齿形的啮合分析、弯曲强度等研究奠定了基础。A new type of offset orthogonal face-gear is presented.A certain offset distance is applied tothe arc tooth cylindrical gear,which is used as an imaginary tool to envelop the offset orthogonal arc tooth face-gear.Based on the differential geometry calculation and gear meshing principle,the equations of the offset or-thogonal arc tooth face-gear surfaces are deduced,and the mathematical models of working tooth surface andtransition surface are established in Matlab.By using the generated mathematical model,two different offset dis-tances are applied.After analyzing the equations and comparing the tooth surface models,a conclusion isdrawn,the effect of offset distance on tooth shape is mainly reflected in tooth height,but not in tooth width andtooth thickness.Finally,the set of tooth surface points is derived,and the solid modeling of offset orthogonalarc tooth face-gear is designed,which lays a foundation for the subsequent research on the meshing and bend-ing strength of this kind of tooth.

关 键 词：偏置正交 弧线齿 面齿轮 偏置距离 实体建模 

分 类 号：TH132.41[机械工程—机械制造及自动化]