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论文:2022,Vol:40,Issue(3):679-689 |
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引用本文： |
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魏永峭, 李泽宇, 刘永平, 郭瑞, 杨栋, 罗岚, 陈忠敏. 计及误差理论的变双曲圆弧齿线圆柱齿轮几何接触特性及敏感性分析[J]. 西北工业大学学报 |
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WEI Yongqiao, LI Zeyu, LIU Yongping, GUO Rui, YANG Dong, LUO Lan, CHEN Zhongmin. Geometric contact characteristics and sensitivity analysis of variable hyperbolic circular-arc-tooth-trace cylindrical gear with error theory considered[J]. Northwestern polytechnical university |
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| 计及误差理论的变双曲圆弧齿线圆柱齿轮几何接触特性及敏感性分析 |
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| 魏永峭1, 李泽宇1, 刘永平1, 郭瑞1, 杨栋1, 罗岚1, 陈忠敏2 |
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1. 兰州理工大学 机电工程学院, 甘肃 兰州 730050;
2. 四川建安工业有限责任公司研发中心, 四川 雅安 625100 |
| 摘要: |
| 齿轮传动特性是齿轮传动中最为重要的研究内容之一,而接触特性是影响齿轮传动性能的重要因素,齿面接触分析(TCA)模型的建立对分析齿轮副接触特性具有指导作用。通过大刀盘成形原理得到变双曲圆弧齿线圆柱齿轮刀具回转面方程,基于齿轮啮合条件建立了该齿轮的齿面数学模型。考虑安装误差对齿轮接触性能的影响,建立了含有安装误差的TCA模型,分析了不同安装误差和设计参数对齿轮副几何接触特性及敏感性的影响。结果表明:中心距误差会对变双曲圆弧齿线圆柱齿轮副重合度产生影响;平行度误差对其传动特性影响很大,极大程度上改变了齿轮副接触区域的大小和位置;设计参数对齿轮接触区域大小及位置也会造成不同程度的影响。 |
| 关键词:
变双曲圆弧齿线圆柱齿轮
齿轮接触分析
安装误差
接触迹线
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| Geometric contact characteristics and sensitivity analysis of variable hyperbolic circular-arc-tooth-trace cylindrical gear with error theory considered |
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| WEI Yongqiao1, LI Zeyu1, LIU Yongping1, GUO Rui1, YANG Dong1, LUO Lan1, CHEN Zhongmin2 |
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1. School of Mechanical & Electronical Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
2. R & D Center of Sichuan Jian'an Industry Co., Ltd, Yaan 625100, China |
| Abstract: |
| Gear transmission characteristics are the most important research contents in gear transmission, and contact characteristics are important factors that affect gear transmission performance. The establishment of tooth surface contact analysis (TCA) model of a gear pair plays a guiding role in analyzing its contact characteristics. The rotary surface equation of the variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear cutter is obtained with the large cutter forming principle, and the mathematical model of the gear tooth surface is established based on the gear meshing conditions. With the influence of installation error on gear contact performance considered, a TCA model with installation error was established. The influence of different installation errors and different design parameters on the geometric contact characteristics and sensitivity of the gear pair is analyzed. The analysis results show that the central distance error may affect the contact ratio of the VH-CATT cylindrical gear pair and that the shaft parallelism error has a great influence on its transmission characteristics, greatly changing the size and position of the gear pair contact area. The design parameters also affect the size and location of the contact area to various degrees. |
| Key words:
variable hyperbolic circular-arc-tooth-trace cylindrical gear
gear contact analysis
installation error
contact trace
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| 收稿日期: 2021-08-16
修回日期:
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| DOI: 10.1051/jnwpu/20224030679 |
| 基金项目: 国家自然科学青年基金(52105058)、甘肃省自然科学基金(21JR7RA235)、国家重点研发计划(2019YFB2006402)与兰州理工大学红柳优青项目(07-062005)资助 |
| 通讯作者:
Email： |
| 作者简介: 魏永峭(1988—),兰州理工大学副教授,主要从事新型齿轮传动、传动摩擦学研究。e-mail:scuwyq@163.com
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| 相关功能 |
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| 作者相关文章 |
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| 魏永峭 在本刊中的所有文章 |
| 李泽宇 在本刊中的所有文章 |
| 刘永平 在本刊中的所有文章 |
| 郭瑞 在本刊中的所有文章 |
| 杨栋 在本刊中的所有文章 |
| 罗岚 在本刊中的所有文章 |
| 陈忠敏 在本刊中的所有文章 |
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参考文献: |
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[1] 陈帅, 侯力, 汤梦, 等. 变双曲圆弧齿线圆柱齿轮动态接触特性分析[J]. 机械传动, 2018, 42(9): 85-89 CHEN Shuai, HOU Li, TANG Meng, et al. Dynamic contact characteristic analysis of cylindrical gear with variational hyperbola and circular-arc-tooth-trace[J]. Journal of Mechanical Transmission, 2018, 42(9): 85-89 (in Chinese)
[2] 蒋进科, 刘钊, 彭先龙. Ease-off修形准双曲面齿轮减振优化设计[J]. 华南理工大学学报, 2020, 48(5): 138-145 JIANG Jinke, LIU Zhao, PENG Xianlong. Optimization design of vibration reduction for hypoid gears with ease-off flank modification[J]. Journal of South China University of Technology, 2020, 48(5): 138-145 (in Chinese)
[3] LITVIN F L, FUENTES A. Gear geometry and applied theory[D]. Cambridge: Cambridge University Press, 2004
[4] TSENG J T, TSAY C B. Mathematical model and surface deviation of cylindrical gears with curvilinear shaped teeth cut by a hob cutter[J]. Journal of Mechanical Design, 2005, 127(5): 271-277
[5] 李仕轩, 陈兵奎, 陈永洪. 渐开线圆柱蜗杆与斜齿轮传动副接触特性分析[J]. 重庆大学学报, 2020, 43(10): 29-37 LI Shixuan, CHEN Bingkui, CHEN Yonghong. Contact characteristics analysis of involute cylindrical worm and helical gear transmission[J]. Journal of Chongqing University, 2020, 43(10): 29-37 (in Chinese)
[6] CHEN Z, ZENG M, FUENTES-AZNAR A. Computerized design, simulation of meshing and stress analysis of pure rolling cylindrical helical gear drives with variable helix angle[J]. Mechanism and Machine Theory, 2020, 153: 103962
[7] 蒋进科, 方宗德, 苏进展. 斜齿轮实际齿面接触分析技术[J]. 西北工业大学学报, 2013, 31(6): 921-925 JIANG Jinke, FANG Zongde, SU Jinzhan. Tooth contact analysis(TCA) of real helical gear tooth surface[J]. Journal of Northwestern Polytechnical University, 2013, 31(6): 921-925 (in Chinese)
[8] 彭先龙, 胡锡文, 方宗德. 构造拓扑修形齿面的面齿轮传动主动设计[J]. 航空动力学报, 2014, 29(5): 1216-1222 PENG Xianlong, HU Xiwen, FANG Zongde. Active design of face gear drive for modifying ease-off topology flank[J]. Journal of Aerospace Power, 2014, 29(5): 1216-1222 (in Chinese)
[9] 周如传, 赵宁, 李旺, 等. 锥形面齿轮副的几何展成及轮齿接触分析[J]. 机械工程学报, 2020, 56(7): 86-95 ZHOU Ruchuan, ZHAO Ning, LI Wang, et al. TCA and stress analysis of the face gear drive with a tapered involute pinion[J]. Journal of Mechanical Engineering, 2020, 56(7): 86-95 (in Chinese)
[10] 赵宁, 翟佳, 侯少杰, 等. 面齿轮磨削温度场分析[J]. 机械传动, 2019, 43(6): 18-22 ZHAO Ning, ZHAI Jia, HOU Shaojie, et al. Temperature field analysis of grinding face gear[J]. Journal of Mechanical Transmission, 2019, 43(6): 18-22 (in Chinese)
[11] 贺鹏, 刘光磊. 面齿轮传动安装误差特性研究[J]. 机械科学与技术, 2008(1): 92-95 HE Peng, LIU Guanglei. Tooth contact analysis of face-gear meshing[J]. Mechanical Science and Technology for Aerospace Engineering, 2008(1): 92-95 (in Chinese)
[12] 董淑婧. 基于MATLAB弧齿锥齿轮接触分析[J]. 机械强度, 2016, 38(2): 410-413 DONG Shujing. Contact analysis of the spiral bevel gear based on MATLAB[J]. Journal of Mechanical Strength, 2016, 38(2): 410-413 (in Chinese)
[13] 苏进展, 方宗德, 崔艳梅. 弧线齿面齿轮齿面接触分析[J]. 航空学报, 2011, 32(3): 546-551 SU Jinzhan, FANG Zongde, CUI Yanmei. Tooth contact analysis on face gears with arcuate tooth[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(3): 546-551 (in Chinese)
[14] LIU G, FAN H. Pinion tooth surface generation strategy of spiral bevel gears[J]. Chinese Journal of Mechanical Engineering, 2012, 25(4): 753-759
[15] 王星, 方宗德, 李声晋, 等. HGT准双曲面齿轮传动的轮齿接触分析[J]. 西北工业大学学报, 2014, 32(3): 475-480 WANG Xing, FANG Zongde, LI Shengjin, et al. Tooth contact analysis of HGT hypoid gear drives[J]. Journal of Northwestern Polytechnical University, 2014, 32(3): 475-480 (in Chinese)
[16] 杜进辅, 方宗德, 宁程丰, 等. 克林贝格准双曲面齿轮齿面建模及接触分析[J]. 西北工业大学学报, 2015, 33(2): 222-228 DU Jinfu, FANG Zongde, Ning Chengfeng, et al. Tooth surface modeling and contact analysis of Klingelnberg hypoid gear[J]. Journal of Northwestern Polytechnical University, 2015, 33(2): 222-228 (in Chinese)
[17] 江平, 刘光磊, 张瑞庭, 等. 航空弧齿锥齿轮接触印痕高度的一种控制方法[J]. 机械工程学报, 2015, 51(5): 64-70 JIANG Ping, LIU Guanglei, ZHANG Ruiting, et al. A method to control the contact pattern height of spiral bevel gears in aviation[J]. Journal of Mechanical Engineering, 2015, 51(5): 64-70 (in Chinese)
[18] 张瑞亮, 王铁, 李红梅. 双圆弧弧齿锥齿轮齿面接触分析[J]. 机械设计, 2011, 28(7): 80-83 ZHANG Ruiliang, WANG Tie, LI Hongmei. Tooth surface contact analysis of the double circular arc tooth spiral bevel gear[J]. Journal of Machine Design, 2011, 28(7): 80-83 (in Chinese)
[19] 何昕, 曹雪梅. 等基圆齿锥齿轮啮合性能分析[J]. 机械传动, 2019, 43(11): 102-105 HE Xin, CAO Xuemei. Analysis of meshing performance for equal base circle bevel gear[J]. Journal of Mechanical Transmission, 2019, 43(11): 102-105 (in Chinese)
[20] 朱晟平. 圆弧齿廓弧线齿面齿轮设计方法及啮合特性分析[D]. 天津:天津工业大学, 2019 ZHU Shengping. Design method and meshing characteristic analysis of arc tooth profile arc tooth surface gear[D]. Tianjin: Tiangong University, 2019 (in Chinese)
[21] 赵斐, 侯力, 段阳, 等. 旋转刀盘圆弧齿轮成形理论分析及数字化建模研究[J]. 四川大学学报, 2016, 48(6): 119-125 ZHAO Fei, HOU Li, DUAN Yang, et al. Research on the forming theory analysis and digital model of circular arc gear shaped by rotary cutter[J]. Advanced Engineering Sciences, 2016, 48(6): 119-125 (in Chinese)
[22] 陈兵奎, 高艳娥, 梁栋. 共轭曲线齿轮齿面的构建[J]. 机械工程学报, 2014, 50(3): 18-24 CHEN Bingkui, GAO Yan'e, LIANG Dong. Tooth profile generation of conjugate-curve gears[J]. Journal of Mechanical Engineering, 2014, 50(3): 18-24 (in Chinese)
[23] WANG X L, LU J W, YANG S Q. Sensitivity analysis and optimization design of hypoid gears' contact pattern to misalignments[J]. Journal of Zhejiang University-Science A(Applied Physics & Engineering), 2019, 20(6): 411-430
[24] 王会良, 邓效忠, 徐恺, 等. 考虑安装误差的拓扑修形斜齿轮承载接触分析[J]. 西北工业大学学报,2014, 32(5): 781-786 WANG Huiliang, DENG Xiaozhong, XU Kai, et al. Load tooth contact analysis (LTCA) of helical gears using topographic modification and installation errors[J]. Journal of Northwestern Polytechnical University, 2014, 32(5): 781-786 (in Chinese)
[25] GUO R, WEI Y Q, LIU Y P, et al. Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear[J]. Mechanical Sciences, 2021, 12(2): 923-932
[26] 魏冰阳, 邓效忠, 仝昂鑫, 等. 曲面综合法弧齿锥齿轮加工参数计算[J]. 机械工程学报, 2016, 52(01): 20-25 WEI Bingyang, DENG Xiaozhong, TONG Angxin, et al. Surface synthesis method on generating parameters computation of spiral bevel-gears[J]. Journal of Mechanical Engineering, 2016,52(1): 20-25 (in Chinese).
[27] 魏永峭, 马登秋, 吴阳, 等. 变双曲圆弧齿线圆柱齿轮齿面曲率特性研究[J]. 工程科学与技术, 2017, 49(6): 196-203 WEI Yongqiao, MA Dengqiu, WU Yang, et al. Study on the tooth surface and curvature characteristics of cylindrical gear with variable hyperbolic arc-tooth-trace[J]. Advanced Engineering Sciences, 2017,49(6): 196-203 (in Chinese)
[28] 刘光磊, 樊红卫, 谷霁红, 等. 航空弧齿锥齿轮低噪声和低安装误差敏感性设计[J]. 航空发动机, 2010(2): 9-12 LIU Guanglei, FAN Hongwei, GU Jihong, et al. Sensitivity design of low noise and installation error for aero spiral bevel gear[J]. Aeroengine, 2010(2): 9-12 (in Chinese) |
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