增速齿轮副非均匀磨损时变啮合刚度研究

泽银 何; 伟迤 唐; 腾蛟 林; 世政 孙

doi:10.16578/j.issn.1004.2539.2019.12.001

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增速齿轮副非均匀磨损时变啮合刚度研究

理论研究 | 更新时间：2022-10-25

- 增速齿轮副非均匀磨损时变啮合刚度研究
- Study on the Time-varying Mesh Stiffness of Speed-increasing Gear Pair with Non-uniform Wear
- 机械传动 2019年43卷第12期页码：1-6
- 作者机构：
  
  1.重庆交通大学机电与车辆工程学院，重庆 400074
  2.重庆大学机械传动国家重点实验室，重庆 400044
- 作者简介：
  
  何泽银(1985— )，男，四川遂宁人，博士，博士后，副教授，硕士生导师，从事轨道交通驱动系统设计方法及理论研究。
- 基金信息：
  
  机械传动国家重点实验室开放课题(SKLMT-KFKT-201706);重庆市基础科学与前沿技术资助项目(CSTC2016jcyjA0514)
- DOI：10.16578/j.issn.1004.2539.2019.12.001
  中图分类号：
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何泽银,唐伟迤,林腾蛟等.增速齿轮副非均匀磨损时变啮合刚度研究[J].机械传动,2019,43(12):1-6.

He Zeyin,Tang Weiyi,Lin Tengjiao,et al.Study on the Time-varying Mesh Stiffness of Speed-increasing Gear Pair with Non-uniform Wear[J].Journal of Mechanical Transmission,2019,43(12):1-6.
何泽银,唐伟迤,林腾蛟等.增速齿轮副非均匀磨损时变啮合刚度研究[J].机械传动,2019,43(12):1-6. DOI： 10.16578/j.issn.1004.2539.2019.12.001.

He Zeyin,Tang Weiyi,Lin Tengjiao,et al.Study on the Time-varying Mesh Stiffness of Speed-increasing Gear Pair with Non-uniform Wear[J].Journal of Mechanical Transmission,2019,43(12):1-6. DOI： 10.16578/j.issn.1004.2539.2019.12.001.

摘要

以某渐开线直齿圆柱增速齿轮副为研究对象，基于Hertz接触理论与Archard磨损公式，推导齿轮副齿面接触应力与相对滑动速度，建立齿轮副非均匀磨损模型，计算了不同循环次数下齿面磨损深度；基于势能法推导基圆与齿根圆不同位置下轮齿非均匀磨损时变啮合刚度解析公式，研究了非均匀磨损对时变啮合刚度的影响规律。研究结果表明，磨损深度在渐开线齿廓上分布不均匀，节圆附近的磨损最小，齿顶齿根处磨损深度较大，且齿顶处累积磨损深度最大；齿面磨损深度随循环次数增加而增大，齿轮时变啮合刚度随磨损深度增加而减小，且双齿啮合区刚度减小量大于单齿啮合区。

Abstract

Taking an involute cylindrical speed-increasing gear pair as the research object, the tooth surface contact pressure and the relative sliding velocity are deduced to establish the non-uniform wear model of the spur gear pair based on the Hertz contact theory and the Archard’s wear formula. And the tooth surface wear depth under different cycles is calculated. Then, based on the potential energy method, the non-uniform wear time-varying mesh stiffness formula of spur gear under different positions of base circle and root circle is developed. The effect of non-uniform wear on the time-varying mesh stiffness is studied. The results show that the wear depth is unevenly distributed on the involute profile, the wear around the pitch circle is the smallest, the wear depth at the tooth root and addendum is larger, and the cumulative wear depth at the top of the tooth is the largest. As the number of cycles increases, the time-varying meshing stiffness of the gear decreases with the increase of the wear depth. The stiffness reduction of the double-tooth meshing zone is greater than that of the single-tooth meshing zone.

关键词

渐开线齿轮非均匀磨损势能法时变啮合刚度

Keywords

Involute gearNon-uniform wearPotential energy methodTime-varying mesh stiffness

references

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