Contact Analysis of Involute Cylindrical Gear with Considering Assembly Error

Yandong Shi; Ruiliang Zhang

doi:10.16578/j.issn.1004.2539.2021.06.017

您当前的位置：

首页 >

文章列表页 >

Contact Analysis of Involute Cylindrical Gear with Considering Assembly Error

Test·Analysis | 更新时间：2022-11-10

- Contact Analysis of Involute Cylindrical Gear with Considering Assembly Error
- Journal of Mechanical Transmission Vol. 45, Issue 6, Pages: 113-119(2021)
- 作者机构：
  
  1.太原理工大学齿轮研究所，山西太原 030024
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.06.017
  CLC：
扫描看全文
施延栋,张瑞亮.考虑安装误差的渐开线圆柱齿轮接触分析[J].机械传动,2021,45(06):113-119.

Shi Yandong,Zhang Ruiliang.Contact Analysis of Involute Cylindrical Gear with Considering Assembly Error[J].Journal of Mechanical Transmission,2021,45(06):113-119.
施延栋,张瑞亮.考虑安装误差的渐开线圆柱齿轮接触分析[J].机械传动,2021,45(06):113-119. DOI： 10.16578/j.issn.1004.2539.2021.06.017.

Shi Yandong,Zhang Ruiliang.Contact Analysis of Involute Cylindrical Gear with Considering Assembly Error[J].Journal of Mechanical Transmission,2021,45(06):113-119. DOI： 10.16578/j.issn.1004.2539.2021.06.017.

摘要

含安装误差的直齿轮啮合时会发生边缘接触，引起应力集中，影响使用寿命，且由于垂直平面不平行度误差将产生更大的齿向接触偏差。因此，以含垂直平面不平行度误差的直齿轮为研究对象，在系统介绍齿轮接触应力数值计算理论的基础上，计算了不同安装误差和载荷工况下的接触应力、接触宽度和相应的齿向载荷分布系数，并将无安装误差时的计算结果与按国家标准计算的结果进行了对比分析。结果表明，无安装误差时，计算结果与国标计算结果吻合度较高，并且能够反映轮齿接触时的“边缘效应”；相同载荷下，随着安装误差的增大，齿宽方向接触不均现象加剧，并出现一侧脱离接触的情况；相同安装误差下，随着载荷的增大，接触不均现象得到改善；最大接触应力随着安装误差的增大和载荷的增大均呈现出非线性增加。

Abstract

When spur gear pair meshing with the assembly error，it will cause the edge contact and stress concentration，and affect the service life. In the meantime，because the parallelism error of vertical plane will produce a larger deviation of tooth contact，therefore，taking the spur gear pair with the parallelism error of vertical plane as the research object，then based on the systematic introduction of the numerical calculation theory of gear contact stress，and the contact stress，contact width and the corresponding load distribution coefficient along the tooth in the case of different assembly error and load conditions are calculated，and the results calculated by numerical calculation method and national standard calculation method in the case of no assembly error are made a comparative analysis. The results show that the results calculated by two methods in the case of no assembly error are close to each other，and the numerical calculation result can reflect the edge effect of the gear pair meshing. Under the same load，with the increase of the installation error，the uneven contact in the tooth width direction becomes worse，and one side disconnects. Under the same assembly error，the uneven contact is improved with the increase of load，the maximum contact stress presents nonlinear increase with the increase of assembly error and load.

关键词

直齿轮安装误差接触分析数值计算

Keywords

Spur gearAssembly errorContact analysisNumerical calculation

references

胡夏夏，宋斌斌，戴小霞，等.基于Hertz接触理论的齿轮接触分析［J］.浙江工业大学学报，2016，44（1）：19-22.

HU Xiaxia，SONG Binbin，DAI Xiaoxia，et al.Research of gear contact based on Hertz contact theory［J］.Journal of Zhejiang University of Technology，2016，44（1）：19-22.

李杰，孙青军，王乐勤.渐开线齿轮的接触分析［J］.工程设计学报，2009，16（1）：27-31.

LI Jie，SUN Qingjun，WANG Leqin.Tooth contact analysis of involute gear［J］.Chinese Journal of Engineering Design，2009，16（1）：27-31.

何大为，方宗德.航空圆柱齿轮传动齿向修形优化设计［J］.西北工业大学学报，1992（3）：323-329.

HE Dawei，FANG Zongde.Optimization of longitudinal corrections of helical gears［J］.Journal of Northwestern Polytechnical University，1992（3）：323-329.

唐进元，陈兴明，罗才旺.考虑齿向修形与安装误差的圆柱齿轮接触分析［J］.中南大学学报（自然科学版），2012，43（5）：1703-1709.

TANG Jinyuan，CHEN Xingming，LUO Caiwang.Conta-ct analysis of spur gears based on longitudinal modificat-ion and alignment errors［J］.Journal of Central South University（Science and Technology），2012，43（5）：1703-1709.

王国会，刘大伟，杨文华，等.考虑安装误差的减变速一体化齿轮齿面接触分析［J］.机械传动，2018，42（4）：102-106.

WANG Guohui，LIU Dawei，YANG Wenhua，et al.Analysis of tooth contact of speed integration gear with assembly error［J］.Journal of Mechanical Transmission，2018，42（4）：102-106.

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.

佟操，孙志礼，马小英，等.考虑安装与制造误差的齿轮动态接触仿真［J］.东北大学学报（自然科学版），2014，35（7）：996-1000.

TONG Cao，SUN Zhili，MA Xiaoying，et al.Dynamic simulation of spur gears with assembly errors and machining errors［J］.Journal of Northeastern University（Natural Science），2014，35（7）：996-1000.

QU W T，PENG X Q，ZHAO N，et al.Finite element g-eneralized tooth contact analysis of double circular arc h-elical gears［J］.Structural Engineering and Mechanics.2012，43（4）：439-448.

刘丽强.考虑装配误差的齿轮接触应力分析及公差查询系统设计［D］.沈阳：东北大学，2012：6-7.

LIU Liqiang.Contact stress analysis of gear with the assembly error and the design of tolerance inquire system［D］.Shenyang：Northeastern University，2012：6-7.

LIU S Y，SONG C S，ZHU C C，et al.Concave and convex modifications analysis for skewed beveloid gears considering misalignments［J］.Mechanism and Machine Theory，2019，133：127-149.

NI G X，ZHU C C，SONG C S，et al.Effects of rack-cutter parabolic modification on loaded contact characteristics for crossed beveloid gears with misalignments［J］.International Journal of Mechanical Sciences，2018，141：359-371.

向龙，方宗德，关亚彬，等.含安装误差斜齿轮接触应力混合分析法［J］.哈尔滨工程大学学报，2019，40（10）：1767-1775.

XIANG Long，FANG Zongde，GUAN Yabin，et al.A hybrid analytical method for calculating contact stress of helical gear with assembly error［J］.Journal of Harbin Engineering University，2019，40（10）：1767-1775.

肖靖，孙月海.考虑安装误差的齿轮副齿向接触分析［J］.机械设计与研究，2015，31（6）：44-47.

XIAO Jing，SUN Yuehai.Longitudinal contact analysis of gear pair with alignment error［J］.Machine Design and Research，2015，31（6）：44-47.

孙桓，陈作模，葛文杰.机械原理［M］.8版.北京：高等教育出版社，2013：199-200.

SUN Heng，CHEN Zuomo，GE Wenjie.Mechanical principles［M］.8th ed.Beijing：Higher Education Press，2013：199-200.

罗继伟，罗天宇.滚动轴承分析计算与应用［M］.北京：机械工业出版社，2009：1-2.

LUO Jiwei，LUO Tianyu.Analysis calculation and application of rolling bearing［M］.Beijing：Machinery Industry Press，2009：1-2.

王彦伟，罗继伟，陈立平.圆锥滚子轴承接触分析［J］.华中科技大学学报（自然科学版），2007，35（9）：19-21.

WANG Yanwei，LUO Jiwei，CHEN Liping.Analysis of the contacts of taper roller bearings［J］.Journal of Huazhong University of Science and Technology（Natural Science Edition），2007，35（9）：19-21.

全国齿轮标准化技术委员会.渐开线圆柱齿轮承载能力计算方法：GB/T 3480-1997［S］.北京：中国标准出版社，1998：6-7.

National Technical Committee of Gear Standardization.Calculation Method of Bearing Capacity of Involute Cylindrical Gear：GB/T 3480-1997［S］.Beijing：Standards Press of China，1998：6-7.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Study on Tooth Wear of Spur Gears Under the Mixed Elastohydrodynamic Lubrication

Numercial Calculation of Time-varying Meshing Stiffness of Spur Gear based on Weber Energy Method

Correlation Between Involute Profile Waviness and Gear Transmission Performance

Research on the Time-varying Meshing Stiffness Algorithm of Spur Gears Based on an Improved Potential Energy Method

Analysis of Manufacturing Errors and Its Influence on Meshing Performance of Herringbone Gears

Related Author

No data

Related Institution

Department of Intelligent Manufacturing and Industrial Safety, Chongqing Vocational Institute of Safety Technology

School of Information and Intelligent Manufacturing, Chongqing City Vocational College

School of Mechanotronics and Vehicle Engineering, Chongqing Jiaotong University

School of Mechanical Engineering, Chongqing University of Technology

Key Laboratory of Automobile Part Manufacturing Technology of Ministry of Education,Chongqing University of Technology

⁰