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

Zhanrong Feng; Lingfeng Gao; Ping Fang; Guangjin Xiong; Chao Luo

doi:10.16578/j.issn.1004.2539.2021.09.014

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

Design· Calculation | 更新时间：2022-11-10

- Tooth Surface Design and Solid Modeling of Offset Orthogonal Arc Tooth Face Gear
- Journal of Mechanical Transmission Vol. 45, Issue 9, Pages: 92-96(2021)
- 作者机构：
  
  1.南昌航空大学航空制造工程学院，江西南昌 330063
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.09.014
  CLC：
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冯占荣,高凌锋,方平等.偏置正交弧线齿面齿轮的齿面设计及实体建模[J].机械传动,2021,45(09):92-96.

Feng Zhanrong,Gao Lingfeng,Fang Ping,et al.Tooth Surface Design and Solid Modeling of Offset Orthogonal Arc Tooth Face Gear[J].Journal of Mechanical Transmission,2021,45(09):92-96.
冯占荣,高凌锋,方平等.偏置正交弧线齿面齿轮的齿面设计及实体建模[J].机械传动,2021,45(09):92-96. DOI： 10.16578/j.issn.1004.2539.2021.09.014.

Feng Zhanrong,Gao Lingfeng,Fang Ping,et al.Tooth Surface Design and Solid Modeling of Offset Orthogonal Arc Tooth Face Gear[J].Journal of Mechanical Transmission,2021,45(09):92-96. DOI： 10.16578/j.issn.1004.2539.2021.09.014.

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。

Abstract

A new type of offset orthogonal face-gear is presented. A certain offset distance is applied to the 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 orthogonal arc tooth face-gear surfaces are deduced， and the mathematical models of working tooth surface and transition surface are established in Matlab. By using the generated mathematical model， two different offset distances are applied. After analyzing the equations and comparing the tooth surface models， a conclusion is drawn， the effect of offset distance on tooth shape is mainly reflected in tooth height， but not in tooth width and tooth thickness. Finally， the set of tooth surface points is derived， and the solid modeling of offset orthogonal arc tooth face-gear is designed， which lays a foundation for the subsequent research on the meshing and bending 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

Keywords

Offset orthogonalArc toothFace gearOffset distanceSolid modeling

references

LITVIN F L，FUENTE S A.Gear geometry and applied theory［M］.New York： Cambrige University Press，2004：142-167.

LITVIN F L，LIAN Q，KAPELEVICH A L.Asymmetricmodified gear drives：reduction of noise，localization of contact，simulation of meshing and stress analysis［J］.Computer Methods in Applied Mechanics and Engineering，2000，188（1）：363-390．

彭先龙，李爱民，郭卫.人字齿面齿轮传动及其几何啮合特性［J］.机械科学与技术，2017，36（7）：1131-1135.

PENG Xianlong，LI Aimin，GUO Wei.Face gear driver with double helical pinion and its meshing performance［J］.Mechanical Science and Technology for Aerospace Engineering，2017，36（7）：1131-1135.

孙伟，张东生，王晓飞.基于成形磨削的渐开线螺旋齿轮研究［J］.机械研究与应用，2016，29（3）：13-16.

SUN Wei，ZHANG Dongsheng，WANG Xiaofei.Research on the involute helical gear based on form grinding［J］.Mechanical Research and Application，2016，29（3）：13-16.

胡国龙.正交面齿轮阿基米德蜗杆磨齿原理的研究［D］.哈尔滨：哈尔滨工业大学，2016：1-4.

HU Guolong.Research on tooth grinding principle of Archimedean worm gear with orthogonal face［D］.Harbin：Harbin Institute of Technology，2016：1-4.

姜帆.正交面齿轮传动的强度分析［D］.哈尔滨：哈尔滨理工大学，2015：1-3.

JIANG Fan.Strength analysis of orthogonal surface gear transmission ［D］.Harbin：Harbin University of Science and Technology，2015：1-3.

宋爱平，易红，汤文成，等.渐开线弧齿圆柱齿轮及其啮合特性［J］.中国机械工程，2006（18）：1888-1892.

SONG Aiping，YI Hong，TANG Wencheng，et al.Involute arc cylindrical gear and its mesh characteristics［J］.China Mechanical Engineering，2006（18）：1888-1892.

李天兴，刘豫喜，张华，等.偏置正交面齿轮的设计及插齿加工试验［J］.河南科技大学学报（自然科学版），2013，34（5）：31-34.

LI Tianxing，LIU Yuxi，ZHANG Hua，et al.Design of offset orthogonal surface gear and gear shaping test［J］.Journal of Henan University of Science and Technology （Natural Science），2013，34（5）：31-34.

魏冰阳，袁群威，吴聪.偏置正交面齿轮的几何设计及三维造型［J］.河南科技大学学报（自然科学版），2012，33（3）：8-11.

WEI Bingyang，YUAN Qunwei，Wu Cong.Geometric design and 3D modeling of offset orthogonal surface gear［J］.Journal of Henan University of Science and Technology （Natural Science），2012，33（3）：8-11.

袁群威.偏置面齿轮传动的几何设计与试验［D］.洛阳：河南科技大学，2012：1-4.

YUAN Qunwei. Geometric design and test of offset surface gear transmission［D］.Luoyang：Henan University of Science and Technology，2012：1-4.

魏永庚，包小东，高树枚.正交面齿轮结构参数的研究［J］.中小企业管理与科技（下旬刊），2011（8）：301.

WEI Yonggeng，BAO Xiaodong，GAO Shumei.Research on structural parameters of orthogonal surface gear［J］.Management and Technology of Small and Medium-sized Enterprises （the 10th Issue），2011（8）：301.

魏永庚，王中鲜，单勇.正交面齿轮齿面方程及三维建模仿真的研究［J］.黑龙江大学工程学报，2011，2（2）：119-122.

WEI Yonggeng，WANG Zhongxian，SHAN Yong.Research on tooth surface equation and 3d modeling simulation of orthogonal gear［J］.Journal of Engineering Heilongjiang University，2011，2（2）：119-122.

盛伟，冯占荣，王利霞，等.弧线齿逻辑齿轮设计［J］.制造业自动化，2019，41（4）：36-39.

SHENG Wei，FENG Zhanrong，WANG Lixia，et al.Design of logic gear with curved teeth［J］.Manufacturing Automation，2019，41（4）：36-39.

盛伟，王利霞，冯占荣，等.弧线齿面齿轮齿面几何设计及径向齿宽特性［J］.航空动力学报，2019，34（4）：796-803.

SHENG Wei，WANG Lixia，FENG Zhanrong，et al.Geometric design and radial tooth width characteristics of curved tooth surface gear［J］.Journal of AerodyNamics，2019，34（4）：796-803.

马贵叶，蒋亚平，郭婷，等.弧线圆柱齿轮齿面接触分析特性的研究［J］.机电产品开发与创新，2017，30（4）：165-167.

MA GuiYe，JIANG Yaping，GUO Ting，et al.Research on the contact analysis characteristics of curved cylindrical gear tooth surface［J］.Mechanical and Electrical Product Development and Innovation，2017，30（4）：165-167.

张昆仑.非对称弧线圆柱齿轮设计与啮合特性研究［D］.西安：长安大学，2017：10-11.

ZHANG Kunlun.Research on design and meshing characteristics of asymmetric curved cylindrical gears［D］.Xi'an：Changan University，2017：10-11.

赵宁，靳永先.非正交面齿轮插齿加工仿真及误差分析［J］.机械传动，2020，44（2）：88-97.

ZHAO Ning，JIN Yongxian.Simulation and error analysis of non-orthogonal surface gear shaping［J］.Journal of Mechanical Transmission，2020，44（2）：88-97.

徐伟俊，彭学玉，李清.偏置面齿轮齿面方程和仿真［J］.机械设计与制造，2013（4）：94-97.

XU Weijun，PENG Xueyu，LI Qing.Tooth surface equation and simulation of offset gear［J］.Mechanical Design and Manufacturing，2013（4）：94-97.

林家春，季新艳，石照耀，等.偏置距和加工误差对面齿轮传动误差的影响研究［J］.机电工程，2019，36（9）：907-912.

LIN Jiachun，JI Xinyan，SHI Zhaoyao，et al.Research on the influence of offset distance and machining error on gear transmission error［J］.Mechanical and Electrical Engineering，2019，36（9）：907-912.

方宗德，曹雪梅，沈云波.弧线齿面齿轮的齿面设计与加工［J］.航空动力学报，2010，25（1）：224-227.

FANG Zongde，CAO Xuemei，SHEN Yunbo.Design and processing of curved tooth surface gear［J］.Journal of Aerospace Power，2010，25（1）：224-227.

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