成形法双面磨削拓扑修形误差齿面对齿轮传动的影响

doi:10.3969/j.issn.1004-132X.2022.14.004

中国机械工程 ›› 2022, Vol. 33 ›› Issue (14): 1661-1669,1679.DOI: 10.3969/j.issn.1004-132X.2022.14.004

成形法双面磨削拓扑修形误差齿面对齿轮传动的影响

李彦1;汪中厚1;刘雷2;刁鑫伟1;王学军1

1.上海理工大学机械工程学院,上海,200093
2.南京航空航天大学机电学院，南京，210016

出版日期:2022-07-25 发布日期:2022-07-29
通讯作者: 汪中厚（通信作者），男，1963年生，教授、博士研究生导师。研究方向为齿轮动态力学性能仿真、三维复杂曲面测量技术、CAE及其应用。发表论文20余篇。E-mail：wangzhusst@163.com。
作者简介:李彦，男，1995年生，硕士研究生。研究方向为齿轮精密加工及传动仿真。E-mail：yanl_1995@163.com。
基金资助:
国家自然科学基金（51875360）；南京航空航天大学直升机传动技术重点实验室开放课题（HTL-0-19G04）；上海市科学技术委员会项目（19060502300）

Effects of Tooth Surfaces of Topographic Profile Errors in Double-sided Grinding on Gear Transmission by Forming Method

LI Yan1;WANG Zhonghou1;LIU Lei2;DIAO Xinwei1;WANG Xuejun1

1.School of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai,200093
2.School of Mechanical and Electrical Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing,210016

Online:2022-07-25 Published:2022-07-29

摘要/Abstract

摘要： 附加径向运动方式的斜齿轮双面磨削方法具有小批量多品种加工的特性与机构可靠的优点，但在加工时会出现无法避免的齿面扭曲现象，导致加工齿面与理论齿面存在原理性误差，针对该现象对斜齿轮性能的影响进行了量化研究。以数值方法计算得到双面磨削方法的误差齿面模型，将该误差齿面与理论齿面进行对比,采用齿面接触分析方法（TCA）计算获得不同齿面下的传动误差和接触斑点。结果表明，齿形扭曲对左齿面性能影响较小，左齿面可基本实现理论修形效果，齿向扭曲现象导致右齿面性能发生了明显劣化；合适的修形方式与轴交角可以使左右齿面传动误差差异缩小在15%左右。

关键词: 成形磨削, 拓扑修形, 传动误差, 接触斑点

Abstract: The double-sided grinding method of helical gears with additional radial motion had the advantages of small-lot and multi-variety machining and reliable mechanisms, but the unavoidable tooth surface distortion phenomenon occured during machining, resulting in the principle errors between the machined tooth surface and the theoretical tooth surface, and the impacts of this phenomenon on the performance of helical gears were quantified. The error tooth surface model of the double-sided grinding method was calculated numerically, and the error tooth surface was compared with the theoretical tooth surface; the transmission errors and contact spots under different tooth surfaces were calculated by the tooth surface contact analysis (TCA) method. The results show that the distortion of tooth shape has less influences on the performance of the left tooth faces, and the left tooth face may basically achieve the theoretical reshaping effect, while the tooth distortion phenomenon causes significant deterioration of the right tooth face performance; the appropriate reshaping method and shaft intersection angle may reduce the transmission error difference between the left and right tooth faces to about 15%.

Key words: form grinding, topological modification, transmission error, contact spot

中图分类号:

TH132.413

李彦, 汪中厚, 刘雷, 刁鑫伟, 王学军. 成形法双面磨削拓扑修形误差齿面对齿轮传动的影响[J]. 中国机械工程, 2022, 33(14): 1661-1669,1679.

LI Yan, WANG Zhonghou, LIU Lei, DIAO Xinwei, WANG Xuejun. Effects of Tooth Surfaces of Topographic Profile Errors in Double-sided Grinding on Gear Transmission by Forming Method[J]. China Mechanical Engineering, 2022, 33(14): 1661-1669,1679.

参考文献

［1］西安交通大学《磨齿工作原理》编写组.磨齿工作原理［M］. 北京:机械工业出版社. 1977.
Compiling Group of “Working Principle of Gear Grinding” of Xian Jiaotong University. Working Principle of Gear Grinding［M］. Beijing:China Machine Press. 1977.
［2］YOSHINO H, IKENO K, EZOE S. Studies on 3-D Tooth-Surface Modification of Helical Gears. Form Grinding of Gears with Arbitrarily Modified Tooth Traces［J］. Transactions of the Japan Society of Mechanical Engineers Series C, 1994, 60(571):1053-1061.
［3］SHEN Y B, FANG Z D, NING Z, et al. Application of Modified Geometry of Face-gear Drive with Double Crowned Helical Pinion［M］. Advanced Design and Manufacture to Gain a Competitive Edge, 2008.
［4］夏政, 黄筱调, 袁鸿. 一种斜齿轮成形磨砂轮截形精确求解算法［J］. 机械科学与技术, 2012， 31(8):113-119.
XIA Zheng, HUANG Shiaotiao, YUAN Hong. A Kind of Exactitude Algorithm for Wheel Profile of the Helical-gear Form Grinding［J］. Mechanical Science and Technology for Aerospace Engineering, 2012, 31(8):113-119.
［5］汪中厚, 宋小明, 何伟铭, 等. 斜齿轮成形磨削齿向修形齿面模型构造与误差评价［J］. 中国机械工程, 2015,26(21),2841-2847.
WANG Zhonghou, SONG Xiaoming, He Weiming, et al. Tooth Surface Model Construction and Error Evaluation for Tooth-trace Modification of Helical Gear by Form Grinding［J］. China Mechanical Engineering, 2015,26(21),2841-2847.
［6］张虎, 黄筱调, 刘兴辉, 等. 基于VERICUT的数控成形磨齿加工仿真［J］. 组合机床与自动化加工技术, 2011(10):102-105.
ZHANG Hu, HUANG Xiaotiao, LIU Xinghui, et al. Machining Simulation of NC Gear Profile Grinding Based on VERICUT［J］. Modular Machine Tool & Automatic Manufacturing Technique, 2011(10):102-105.
［7］LEE C K. Manufacturing Process for a Cylindrical Crown Gear Drive with a Controllable Fourth Order Polynomial Function of Transmission Error［J］. Journal of Materials Processing Technology, 2009, 209(1):3-13.
［8］SHIH Y P, FONG Z H. Flank Correction for Spiral Bevel and Hypoid Gears on a Six-axis CNC Hypoid Generator［J］. Journal of Mechanical Design, 2008, 130(6):062604-15.
［9］SHIH Y P, CHEN S D. A Flank Correction Methodology for a Five-axis CNC Gear Profile Grinding Machine［J］. Mechanism & Machine Theory, 2012, 47:31-45.
［10］唐进元, 陈思雨, 钟掘. 一种改进的齿轮非线性动力学模型［J］. 工程力学, 2008(1):217-239.
TANG Jinyuan, CHEN Siyu, ZHONG Jue. An Improved Nonlinear Dynamics Model for Gears［J］. Engineering Mechanics, 2008(1):217-239.
［11］方宗德. 齿轮轮齿承载接触分析(LTCA)的模型和方法［J］. 机械传动, 1998(2):1-3.
FANG Zongde. Model and Approach for Loaded Tooth Contact Analysis (LTCA) of Gear Drives［J］. Journal of Mechanical Transmission, 1998(2):1-3.
［12］LITVIN F L, SHEVELEVA G I, VECCHIATO D, et al. Modified Approach for Tooth Contact Analysis of Gear Drives and Automatic Determination of Guess Values［J］. Computer Methods in Applied Mechanics and Engineering, 2005, 194(27/29):2927-2972.
［13］陈思雨, 唐进元, 王志伟, 等. 修形对齿轮系统动力学特性的影响规律［J］. 机械工程学报, 2014, 50(13):59-65.
CHEN Siyu, TANG Jinyuan, WANG Zhiwei, et al. Effect of Modification on Dynamic Characteristics of Gear Transmissions System［J］. Journal of Mechanical Engineering, 2014, 50(13):59-65.
［14］朱才朝, 陈爽, 马飞, 等. 轮齿修形对兆瓦级风电齿轮箱动态特性影响［J］. 振动与冲击, 2013, 32(7):123-8.
ZHU Caizhao, CHEN Shuang, MA Fei, et al. Effect of Gear Teeth Modification on Dynamic Characteristics of a Megawatt Level Wind Turbine Gearbox［J］. Journal of Vibration and Shock, 2013, 32(7):123-130.
［15］陈洪月, 朱煜, 毛君, 等. 齿廓修形对渐开线直齿轮设计传递误差的影响［J］. 华中科技大学学报(自然科学版), 2018, 46(3):91-97.
CHEN Hongyue, ZHU Yu, MAO Jun, et al. Influence of Tooth Profile Modification on Design Transmission Error of Involute Spur Gear［J］. Journal of Huazhong University of Science and Technology (Natural Science Edition), 2018, 46(3):91-97.
［16］阳辉, 黄筱调, 方成刚, 等. 成形磨齿齿向修形扭曲误差分析及补偿［J］. 机床与液压, 2019, 47(9):99-106.
YANG Hui, HUANG Shitiao, FANG Chenggang, et al. Analysis and Compensation for Tooth Lead Modification with Twist Error in Form Grinding［J］. Machine Tools & Hydraulics, 2019, 47(9):99-106.
［17］汪中厚, 朱文敏, 李刚, 等. 基于神经网络的修形斜齿轮成形磨削中的接触线优化方法［J］. 中国机械工程, 2014, 25(12):1665-1671.
WANG Zhonghou, ZHU Wenmin, LI Gang, et al. Optimization of Contact Line for Form-grinding Modified Helical Gears Based on Neural Network［J］. China Mechanical Engineering, 2014, 25(12):1665-1671.
［18］尚振国, 王德伦. 修形斜齿轮啮合性质及误差影响分析［J］. 大连理工大学学报, 2011, 51(3):368-374.
SHANG Zhenguo, WANG Delun. Analysis of Modified Helical Gear Meshing Characteristics and Error Influence ［J］. Journal of Dalian University of Technology, 2011, 51(3):368-374.
［19］袁哲俊. 齿轮刀具设计［M］. 北京:国防工业出版社， 2014.
YUAN Zhejun. Gear Tool Design ［M］. Beijing:National Defense Industry Press， 2014.
［20］LITVIN F L, FUENTES A. Gear Geometry and Applied Theory ［M］. Cambridge：Cambridge University Press, 2004.
［21］梁锡昌. 齿轮及其刀具制造的研究［M］. 重庆：重庆大学出版社， 2001.
LIANG Xichang. Research on Manufacturing of Gears and Cutting Tools ［M］. Chongqing:Chongqing University Press， 2001.

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成形法双面磨削拓扑修形误差齿面对齿轮传动的影响

Effects of Tooth Surfaces of Topographic Profile Errors in Double-sided Grinding on Gear Transmission by Forming Method

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