Influence of System Parameters on Nonlinear Dynamic Characteristics of the Herringbone Gear Transmission Under Different Coincidence Degrees

Wang Ji; Li Zhibin; Wang Sanmin; Wang Chunling

doi:10.16578/j.issn.1004.2539.2024.01.001

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Influence of System Parameters on Nonlinear Dynamic Characteristics of the Herringbone Gear Transmission Under Different Coincidence Degrees

Theory·Research | 更新时间：2024-12-13

- Influence of System Parameters on Nonlinear Dynamic Characteristics of the Herringbone Gear Transmission Under Different Coincidence Degrees
- Journal of Mechanical Transmission Vol. 48, Issue 1, Pages: 1-7(2024)
- 作者机构：
  
  1.中国船舶集团有限公司第七〇三研究所，黑龙江哈尔滨 150078
  2.西北工业大学机电学院，陕西西安 710072
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2024.01.001
  CLC：
- Published：15 January 2024，
  
  Received：28 October 2022，
- 稿件说明：
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王冀,李志宾,王三民等.不同重合度下系统参数对人字齿传动非线性动态特性的影响[J].机械传动,2024,48(01):1-7.

Wang Ji,Li Zhibin,Wang Sanmin,et al.Influence of System Parameters on Nonlinear Dynamic Characteristics of the Herringbone Gear Transmission Under Different Coincidence Degrees[J].Journal of Mechanical Transmission,2024,48(01):1-7.
王冀,李志宾,王三民等.不同重合度下系统参数对人字齿传动非线性动态特性的影响[J].机械传动,2024,48(01):1-7. DOI： 10.16578/j.issn.1004.2539.2024.01.001.

Wang Ji,Li Zhibin,Wang Sanmin,et al.Influence of System Parameters on Nonlinear Dynamic Characteristics of the Herringbone Gear Transmission Under Different Coincidence Degrees[J].Journal of Mechanical Transmission,2024,48(01):1-7. DOI： 10.16578/j.issn.1004.2539.2024.01.001.

摘要

重合度是反映齿轮副同时参与啮合轮齿对数多少的重要参数。合理选择适当的重合度可以改善传动承载能力并保证传动平稳性，从而提高齿轮传动系统的性能和可靠性。而分析不同重合度下系统参数对系统振动特性的影响，对优化传动系统性能、提高工作效率和降低故障风险具有重要意义。本文将轮齿啮合性能和动态特性相结合，首先，确定人字齿轮系统刚度激励和啮合冲击激励，采用集中参数法建立复杂激励源下的人字齿轮副弯-扭-轴耦合非线性动力学模型；然后，对非线性动力学方程进行消除刚体位移和无量纲化处理；最后，研究了不同重合度下系统参数对系统动态特性的影响。研究表明，当重合度由2.72变为3.08时，齿轮副综合相对振动加速度均方根值均降低达40%左右。可见，增大齿轮副重合度能提高系统的稳定性。此外，随着系统参数变化，增大齿轮重合度能消除系统存在的跳跃现象，并降低跳跃和共振峰的幅值。

Abstract

The coincidence degree is an important parameter to reflect the number of meshing teeth of gear pairs at the same time. The appropriate coincidence degree of reasonable selection can improve transmission bearing capacity and ensure transmission stability

thereby improving the performance and reliability of the gear transmission system. The analysis of the influence of system parameters on system vibration characteristics under different coincidence degrees is of great significance for optimizing the transmission system performance

improving work efficiency and reducing fault risk. Combining meshing performance and dynamic characteristics of gear teeth

firstly

stiffness excitation and meshing impact excitation of the herringbone gear system are determined

and the lumped parameter method is used to establish the nonlinear dynamic model of the bending-torsion-shaft coupling of herringbone gear pairs under complex excitation source. Then

the nonlinear dynamic equations are subject to elimination of rigid body displacement and dimensionless treatment. Finally

the influence of system parameters on system dynamic characteristics under different coincidence degrees is studied. The research shows that when the coincidence degree changes from 2.72 to 3.08

the root mean square (RMS) value of comprehensive relative vibration acceleration of the gear pair is reduced by about 40%

which shows that increasing the coincidence degree can improve the stability of the gear system. In addition

with the change of system parameters

increasing coincidence degree can eliminate the jump phenomenon in the system and reduce the amplitude of jump and resonance peak.

关键词

重合度系统参数人字齿轮非线性动态特性

Keywords

Coincidence degreeSystem parameterHerringbone gearNonlinearDynamic characteristic

references

LI Z B，WANG S M.Study on nonlinear dynamic characteristics of power six-branch herringbone gear transmission system with 3D modification［J］.Proceedings of the Institution of Mechanical Engineers，Part K：Journal of Multi-body Dynamics，2023，237（2）：193-219.

孙秀全，王铁，张瑞亮，等.斜齿轮渐进性磨损对齿轮振动特性的影响分析［J］.机械传动，2021，45（1）：17-22.

SUN Xiuquan，WANG Tie，ZHANG Ruiliang，et al.Analysis of the influence of progressive wear of helical gear on gear vibration characteristic［J］.Journal of Mechanical Transmission，2021，45（1）：17-22.

王成，方宗德，张墨林，等.人字齿轮传动的动态特性分析［J］.哈尔滨工业大学学报，2011，43（7）：122-126.

WANG Cheng，FANG Zongde，ZHANG Molin，et al.Analysis of dynamic characteristics of herringbone gear transmission［J］.Journal of Harbin Institute of Technology，2011，43（7）：122-126.

SIVAKUMAR P，GOPINATH K，SUNDARESH S.Performance evaluation of high-contact-ratio gearing for combat tracked vehicles-a case study［J］.Proceedings of the Institution of Mechanical Engineers，2010，224（5）：631-643.

王荣先，张旦闻，陈泰岭，等.齿轮传动重合度检测系统设计［J］.机械传动，2020，44（12）：113-117.

WANG Rongxian，ZHANG Danwen，CHEN Tailing，et al.Design of gear transmission contact ratio detection system［J］.Journal of Mechanical Transmission，2020，44（12）：113-117.

孙月海，匡芬，孙强.S型齿廓曲线齿轮的重合度研究［J］.机械科学与技术，2017，36（11）：1674-1677.

SUN Yuehai，KUANG Fen，SUN Qiang.Study on coincidence degree of S-shaped tooth profile curve gear［J］.Mechanical Science and Technology for Aerospace Engineering，2017，36（11）：1674-1677.

唐进元，王志伟.载荷与齿轮啮合刚度、重合度的关系研究［J］.机械传动，2014，38（6）：1-4.

TANG Jinyuan，WANG Zhiwei.Study on the relationship between load and gear meshing stiffness and coincidence degree［J］.Journal of Mechanical Transmission，2014，38（6）：1-4.

张祖芳，陈卫东，黄康.重合度对齿轮副非线性动力学特性影响研究［J］.组合机床与自动化加工技术，2014（2）：40-43.

ZHANG Zufang，CHEN Weidong，HUANG Kang.Study on the influence of coincidence degree on nonlinear dynamic characteristics of gear pair［J］.Modular Machine Tool & Automatic Manufacturing Technique，2014（2）：40-43.

李英明，沙发明，黄康.变位齿轮在直升机传动系统中的应用研究［J］.机械传动，2013，37（7）：130-133.

LI Yingming，SHA Faming，HUANG Kang.Research on the application of shift gear in helicopter transmission system［J］.Journal of Mechanical Transmission，2013，37（7）：130-133.

黄康，夏公川，赵韩，等.重合度对齿轮传动啮合效率的影响研究［J］.合肥工业大学学报，2015，38（12）：1585-1590.

HUANG Kang，XIA Gongchuan，ZHAO Han，et al.Research on the influence of contact ratio on gear meshing efficiency［J］.Journal of Hefei University of Technology，2015，38（12）：1585-1590.

赵宁，秋朋园，刘贵立.高重合度人字齿轮传动动态性能优化设计［J］.国防科技大学学报，2015，37（2）：166-174.

ZHAO Ning，QIU Pengyuan，LIU Guili.Optimized design of dynamic behavior of double helical gears with high contact ratio［J］.Journal of National University of Defense Technology，2015，37（2）：166-174.

LI Z B，WANG S M，LI F，et al.Research on multiobjective optimization design of meshing performance and dynamic characteristics of herringbone gear pair under 3D modification［J］.Journal of Mechanical Design，2022，144（10）：103401.

LI Z B，WANG S M，LI L L，et al.Study on multi-clearance nonlinear dynamic characteristics of herringbone gear transmission system under optimal 3D modification［J］.Nonlinear Dynamics，2022，111（5）：4237-4266.

董皓，方宗德.基于承载接触仿真的双重功率分流系统动态特性［J］.机械科学与技术，2016，35（1）：67-72.

DONG Hao，FANG Zongde.Dynamics characteristics of dual power-split transmission based on loaded tooth contact analysis［J］.Mechanical Science and Technology for Aerospace Engineering，2016，35（1）：67-72.

王峰，方宗德，李声晋.重合度对人字齿轮非线性系统振动特性的影响分析［J］.振动与冲击，2014，33（3）：18-22.

WANG Feng，FANG Zongde，LI Shengjin.Effect of contact ratio on dynamic behavior of a double-helical gear nonlinear system［J］.Journal of Vibration and Shock，2014，33（3）：18-22.

LI Z B，WANG S M，LI F，et al.Influence of 3D modification on dynamic characteristics of herringbone gearbox system and vibration reduction design［J］.Proceedings of the Institution of Mechanical Engineers，Part K：Journal of Multi-body Dynamics，2022，236（4）：602-622.

于耀庭，何芝仙.具有轴向重合度的齿轮传动系统动力学行为研究［J］.安徽工程大学学报，2020，35（1）：47-52.

YU Yaoting，HE Zhixian.Study on dynamic behavior of gear transmission system with axial coincidence［J］.Journal of Anhui Polytechnic University，2020，35（1）：47-52.

孙恒，陈作模，葛文杰.机械原理［M］.北京：高等教育出版社，2006：184-185.

SUN Heng，CHEN Zuomo，GE Wenjie.Theory of machines and mechanisms［M］.Beijing：Higher Education Press，2006：184-185.

JIN G H，REN W，ZHU R P.Influence of backlash on load sharing and dynamic load characteristics of twice split torque transmission system［J］.Journal of Vibration Engineering & Technologies，2019，7（6）：565-577.

YANG S F.Nonlinear dynamic model of gear transmission system under the influence of vibration and noise［J］.Nanotechnology for Environmental Engineering，2022，7（3）：759-763.

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