Volume 34 Issue 12
Dec.  2019
Turn off MathJax
Article Contents
Article Navigation >  Journal of Aerospace Power  > 2019  >  34(12): 2745-2752
WEI Bingyang, YANG Jianjun, NIE Shaowu. Calculation of gear meshing stiffness and loaded tooth contact analysis based on ease-off surface topology[J]. Journal of Aerospace Power, 2019, 34(12): 2745-2752. doi: 10.13224/j.cnki.jasp.2019.12.024
Citation: WEI Bingyang, YANG Jianjun, NIE Shaowu. Calculation of gear meshing stiffness and loaded tooth contact analysis based on ease-off surface topology[J]. Journal of Aerospace Power, 2019, 34(12): 2745-2752. doi: 10.13224/j.cnki.jasp.2019.12.024
shu

Calculation of gear meshing stiffness and loaded tooth contact analysis based on ease-off surface topology

doi: 10.13224/j.cnki.jasp.2019.12.024

  • School of Mechanical and Electronic Engineering,Henan University of Science and Technology,Luoyang Henan 471000,China

  • Received Date: 2019-05-15
  • Publish Date: 2019-12-28
    Abstract
  • Based on the theory of rack-gear equal-tangential conjugate generating, the construction of numerical model of tooth surface and ease-off surface of gears was presented. Through analysis on the tooth surface meshing information of ease-off surface implication, the contact path, transmission errors and falls of contact line were obtained. Combining the ease-off simulation of tooth surface and the non-linear element coupling gear stiffness analysis, the computational method on time-varying meshing stiffness, loaded transmission errors for the modified tooth surface was presented. The computation was done by traversing the sequence contact lines according to the contact path, then the tooth meshing stiffness, loaded transmission errors and load distribution map were obtained. Two examples on topological tooth surface for symmetrical and bias modification of the 2-order paraboloid were acquired, and a series of results for the tooth meshing stiffness, loaded transmission errors and load distribution map under varied loads were gained. Results showed that the varied effects of tooth meshing stiffness weakened obviously with the increasing loads, and the fluctuation of loaded transmission errors was closely related to meshing stiffness and modification gradient of tooth surface. The bias modification was better than the symmetrical one in the performance of meshing stiffness, loaded transmission errors and load distribution.

     

    • FullText(HTML)
  • loading
    • References(18)
  • [1]
    LITIVN F L.Local synthesis and tooth analysis of face-mille of spiral bevel gears［R］.NASA-CR4342,1990.
    [2]
    LITIVN F L.Computerized design,simulation of meshing and contact and stress analysis of face-milled formate generated spiral bevel gears［J］.Mechanism and Machine Theory,2002,37(5):441-459.
    [3]
    方宗德,刘涛,邓效忠.基于传动误差设计的弧齿齿轮啮合分析［J］.航空学报,2002,23(3):226-230. FANG Zongde,LIU Tao,DENG Xiaozhong.Tooth contact analysis of spiral bevel gears based on the design of transmission error［J］.Acta Aeronautica et Astronautica Sinica,2002,23(3):226-230.(in Chinese)
    [4]
    曹雪梅,张华,方宗德.航空弧齿锥齿轮承载传动误差的分析与设计［J］.航空动力学报,2009,24(11):2618-2624. CAO Xuemei,ZHANG Hua,FANG Zongde.Design and analysis of loaded transmission errors for aviation spiral bevel gears［J］.Journal of Aerospace Power,2009,24(11):2618-2624.(in Chinese)
    [5]
    唐进元,卢延峰,周超.螺旋锥齿轮齿面接触分析改进算法研究［J］.航空动力学报,2009,24(1):189-195. TANG Jinyuan,LU Yanfang,ZHOU Chao.Research on improved tooth contact analysis algorithm of spiral bevel gears［J］.Journal of Aerospace Power,2009,24(1):189-195.(in Chinese)
    [6]
    STADTFELD H J.What “Ease-off” shows about bevel and hypoid gears［J］.Gear Technology,2001,18(5):18-23.
    [7]
    陈书涵,严宏志,明兴祖,等.螺旋锥齿轮差曲面模的建立与仿真［J］.系统仿真学报,2009,21(11):3430-3433. CHEN Shuhan,YAN Hongzhi,MING Xingzu,et al.Difference surface model establishment and simulation in spiral bevel gear［J］.Journal of System Simulation,2009,21(11):3430-3433.(in Chinese)
    [8]
    曹雪梅,邓效忠,聂少武.基于共轭齿面修正的航空弧齿锥齿轮高阶传动误差齿面拓扑结构设计［J］.航空动力学报,2015,30(1):195-200. CAO Xuemei,DENG Xiaozhong,NIE Shaowu.Ease-off flank topography design for aviation spiral bevel gears with higher-order transmission errors by modification of conjugate［J］.Journal of Aerospace Power,2015,30(1):195-200.(in Chinese)
    [9]
    曹雪梅,孙宁,邓效忠.直齿锥齿轮低安装误差敏感设计与实验验证［J］.航空动力学报,2016,31(1):227-232. CAO Xuemei,SUN Ning,DENG Xiaozhong.Design for straight bevel gear based on low installation error sensitivity and experiment tests［J］.Journal of Aerospace Power,2016,31(1):227-232.(in Chinese)
    [10]
    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(1):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)
    [11]
    魏冰阳,杨建军,仝昂鑫,等.基于等距Ease-off曲面的轮齿啮合仿真分析［J］.航空动力学报,2017,32(5):1259-1265. WEI Bingyang,YANG Jianjun,TONG Angxin,et al.Tooth meshing simulation and analysis based on isometric mapping ease-off surface［J］.Journal of Aerospace Power,2017,32(5):1259-1265.(in Chinese)
    [12]
    蒋进科,方宗德,苏进展.高阶传动误差斜齿轮修形设计与加工［J］.哈尔滨工业大学学报,2014,46(9):43-49. JIANG Jinke,FANG Zongde,SU Jinzhan.Design and grinding for modified helical gears with a higher-order transmission error［J］.Journal of Harbin Institute of Technology,2014,46(9):43-49.(in Chinese)
    [13]
    FAKHE R C,TAHAＲ F,MOHAMED H.Analytical modelling of spur gear tooth crack and influence on gear mesh stiffness［J］.European Journal of Mechanics:A Solids,2009,28(3):461-468.
    [14]
    王奇斌,张义民.齿向修形直齿轮系统动力学特性分析［J］.振动工程学报,2016,29(1):61-68. WANG Qibin,ZHANG Yimin.Dynamic characteristics analysis of a spur gear system with the lead crown relief［J］.Journal of Vibration Engineering,2016,29(1):61-68.(in Chinese)
    [15]
    CHEN Zaigang,SHAO Yimin.Mesh stiffness calculation of a spur gear pair with tooth profile modification and tooth root crack［J］.Mechanism and Machine Theory,2013,62(8):63-74.
    [16]
    CHEN Zaigang,SHAO Yimin.Mesh stiffness of an Internal spur gear pair with ring gear rim deformation［J］.Mechanism and Machine Theory,2013,69(10):1-12.
    [17]
    魏静,赖育彬,秦大同,等.齿廓修形斜齿轮副啮合刚度解析计算模型［J］.振动与冲击,2018,37(10):94-101. WEI Jing,LAI Yubin,QIN Datong,et al.Analytical model of the mesh stiffness of helical gear pair after tooth profile modification［J］.Journal of Vibration and Shock,2018,37(10):94-101.(in Chinese)
    [18]
    刘文,李锐,张晋红,等.斜齿轮时变啮合刚度算法修正及影响因素研究［J］.湖南大学学报(自然科学版),2018,45(2):1-10. LIU Wen,LI Rui,ZHANG Jinhong,et al.Study on correction algorithm of time-varying mesh stiffness of helical gears and its influencing factors［J］.Journal of Hunan University(Natural Sciences),2018,45(2):1-10.(in Chinese)
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF(731.0KB)
    XML

    Article Metrics

    Article views (709) PDF downloads(292) Cited by()
    Proportional views
    Related

    Copyright © 《Journal of Aerospace Power》 All Rights Reserved.

    Supported by: Beijing Renhe Information Technology Co., Ltd.  

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return