Study on dynamic response characteristics of worn gears considering tooth micromorphology

MENG Fanshan; YI Wenhao; ZHANG Xin; JIN Yulin; WANG Jiaxu

doi:10.16578/j.issn.1004.2539.2026.03.016

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Study on dynamic response characteristics of worn gears considering tooth micromorphology

Dynamic Performance and Mesh Characteristics | 更新时间：2026-05-27

- Study on dynamic response characteristics of worn gears considering tooth micromorphology
- Journal of Mechanical Transmission Vol. 50, Issue 3, Pages: 142-153(2026)
- 作者机构：
  
  1.西南交通大学机械工程学院，成都 610031
  2.重庆大学高端装备机械传动全国重点实验室，重庆 400044
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2026.03.016
  CLC： TH132.413
- Received：19 November 2024，
  
  Revised：2024-11-27，
  
  Published：15 March 2026
- 稿件说明：
移动端阅览
孟凡善，易文浩，张新，等. 考虑齿面微观形貌的磨损齿轮动态响应特性研究［J］. 机械传动，2026，50（3）：142-153.

MENG Fanshan，YI Wenhao，ZHANG Xin，et al. Study on dynamic response characteristics of worn gears considering tooth micromorphology［J］. Journal of Mechanical Transmission，2026，50（3）：142-153.
孟凡善，易文浩，张新，等. 考虑齿面微观形貌的磨损齿轮动态响应特性研究［J］. 机械传动，2026，50（3）：142-153. DOI： 10.16578/j.issn.1004.2539.2026.03.016.

MENG Fanshan，YI Wenhao，ZHANG Xin，et al. Study on dynamic response characteristics of worn gears considering tooth micromorphology［J］. Journal of Mechanical Transmission，2026，50（3）：142-153. DOI： 10.16578/j.issn.1004.2539.2026.03.016.

摘要

目的

为探究齿面微观形貌对齿轮接触情况及运行状态的影响，开展各向异性三维粗糙齿面下的磨损速率及动态响应特性研究。

方法

首先，基于分形几何理论建立了各向异性三维微观粗糙齿面；其次，根据Archard理论计算微观粗糙齿面在不同转速和不同工作时长下的非均匀磨损情况，将齿面磨损深度与齿轮尺寸参数相结合，求解磨损轮齿啮合时的时变啮合刚度和时变齿隙，并将其作为齿轮传动系统动力学模型的内激励输入参数；最后，采用变步长Runge‐Kutta算法求解动力学微分方程，得到齿轮传动系统的动力学响应特性。

结果

结果表明，在齿面粗糙度相同时，随着齿轮转速、工作时长的增加，齿面磨损深度和齿侧间隙逐渐增大，时变啮合刚度逐渐减小；在考虑齿面微观形貌的齿轮传动系统中，随着转速的变化，齿轮传动系统表现出丰富的动态响应特性；随着工作时长的增加，齿轮传动系统的动态传递误差增大，系统整体动态响应由周期运动状态趋向于混沌运动状态，进而表现为混沌振动，这将不利于系统的平稳运行；对于处于混沌运动状态的磨损齿轮，改变转矩或转速后，齿轮传动系统由混沌运动状态转变为较为稳定的周期运动状态。

Abstract

Objective

To study the effect of tooth surface micromorphology on gear contact and operating conditions

the wear rate and dynamic response characteristics of anisotropic 3D rough tooth surface were investigated.

Methods

Firstly

an anisotropic 3D microscopic rough gear surfaces were established based on fractal geometry theory. Secondly

the non-uniform wear of these microscopic rough gear surfaces under different rotational speeds and operating durations was calculated according to Archard’s theory. The wear depth of the gear surfaces was combined with gear dimensional parameters to solve for the time-varying meshing stiffness and backlash during the worn gear meshing

and they were used as internal excitation input parameters for the dynamic model of the gear transmission system. Lastly

the variable step-size Runge-Kutta algorithm was employed to solve the dynamic differential equations

thereby obtaining the dynamic response characteristics of the gear transmission system.

Results

The results indicate that

with the same tooth surface roughness

as the rotational speed and operating duration of the gears increase

the wear depth of the tooth surface and the tooth side clearance gradually increase

while the time-varying meshing stiffness gradually decreases. In gear transmission systems considering the micromorphology of tooth surfaces

the gear transmission system exhibits abundant dynamic response characteristics as the rotational speed changes. As the operating duration increases

the dynamic transmission error of the gear transmission system enlarges. The overall dynamic response of the system tends from periodic motion state to chaotic motion state

manifesting as chaotic vibrations

which are detrimental to the system’s smooth operation. The gear transmission system transitions from chaotic motion state to relatively stable periodic motion state when the torque or rotational speed of worn gears in a chaotic motion state changes.

关键词

Keywords

references

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