齿向修形斜齿轮齿面加工扭曲机理及对啮合性能影响分析
Analysis on the Machining Twisting mechanism of Tooth Surface with Axial Modification of Helical Gear and Its Influence on Meshing Performance
- 机械传动 2020年44卷第10期 页码：13-18
- 作者机构：
1.中南大学 高性能复杂制造国家重点实验室， 湖南 长沙 410083
2.中国船舶重工集团公司第703研究所， 黑龙江 哈尔滨 150078
- 作者简介：
高士豪（1995— ），男，河北石家庄人，在读硕士研究生，主要研究方向为航空齿轮传动系统设计。
唐进元（1962— ），男，湖南永州人，教授，博士生导师，主要研究方向为齿轮传动装置设计，齿轮数字化制造与抗疲劳制造。
- 基金信息：国家重点研发计划项目(2018YFB2001300)
DOI：10.16578/j.issn.1004.2539.2020.10.003
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高士豪,杨龙,陈思雨等.齿向修形斜齿轮齿面加工扭曲机理及对啮合性能影响分析[J].机械传动,2020,44(10):13-18.
Gao Shihao,Yang Long,Chen Siyu,et al.Analysis on the Machining Twisting mechanism of Tooth Surface with Axial Modification of Helical Gear and Its Influence on Meshing Performance[J].Journal of Mechanical Transmission,2020,44(10):13-18.
高士豪,杨龙,陈思雨等.齿向修形斜齿轮齿面加工扭曲机理及对啮合性能影响分析[J].机械传动,2020,44(10):13-18. DOI： 10.16578/j.issn.1004.2539.2020.10.003.
Gao Shihao,Yang Long,Chen Siyu,et al.Analysis on the Machining Twisting mechanism of Tooth Surface with Axial Modification of Helical Gear and Its Influence on Meshing Performance[J].Journal of Mechanical Transmission,2020,44(10):13-18. DOI： 10.16578/j.issn.1004.2539.2020.10.003.
摘要
研究了齿向修形斜齿轮展成加工（蜗杆磨与滚齿）齿面扭曲生成机理及减少齿面扭曲的措施。基于对角蜗杆磨齿或滚齿加工方法构建齿向修形斜齿轮加工齿面方程，对比标准斜齿轮齿面与斜齿轮加工齿面，得到展成刀具（蜗杆或滚刀）轴向进给和对角进给速比与齿面扭曲的关联规律。根据推导出的齿向修形斜齿轮加工齿面方程，利用Matlab与CATIA联合建模技术建立齿向修形斜齿轮副三维几何模型，基于有限元准静态分析方法，对含不同扭曲量的齿轮副啮合性能仿真分析，得到齿面扭曲对啮合性能的影响规律。研究表明，齿向修形斜齿轮螺旋角越大，齿面扭曲现象越严重，修形量不影响齿面的扭曲程度，刀具轴向进给和对角进给速比与齿面扭曲最低存在最佳匹配；改善齿面扭曲可有效降低传递误差并提高齿轮承载能力；给出的基于Matlab、CATIA与有限元商用软件相结合的CAD/CAE一体化建模分析方法为齿向修形斜齿轮齿面加工扭曲研究与分析提供了方法与工具。
Abstract
The formation mechanism of tooth surface twist in helical gear generating machining （worm grinding and hobbing） and the measure to reduce the tooth surface twist are mainly studied. Based on the diagonal worm grinding or hobbing machining method， the tooth surface equation of helical gears with axial modification is constructed. The standard helical gear tooth surface and the helical gear machining tooth surface with axial modification are compared to obtain the correlation law between the speed ratio of axial feed and diagonal feed of the generating tool （worm or hob） and tooth surface twist. Based on the derived tooth surface equation of the helical gear with axial modification， Matlab and CATIA combined modeling technology is used to establish a three-dimensional geometric model of the helical gear pair with axial modification. The simulation analysis of the meshing performance of the gear pairs with different levels of tooth surface twist shows the influence of tooth surface twist on the meshing performance. The research shows that， the larger the helix angle of helical gear with axial modification is， the more serious the tooth surface twist is. Modification amount does not affect the twist of the tooth surface. The ratio of the axial feed and diagonal feed of the tool has the best match with the tooth surface twist. Improved tooth surface twist can effectively reduce the transmission error and improve the gear carrying capacity. The CAD/CAE integrated modeling and analysis method based on the combination of Matlab， CATIA and finite element commercial software provides methods and tools for the research on tooth surface twist of helical gears with axial modification.
关键词
对角滚齿齿向修形斜齿轮齿面扭曲啮合性能
Keywords
Diagonal hobbingAxial modificationHelical gearTooth surface twistMeshing performance
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