Influence of operating load on meshing vibration of gear pairs

YI Yuanyuan; XUAN Liang; MENG Lijun; TAN Xin

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Influence of operating load on meshing vibration of gear pairs

更新时间：2025-12-17

- Influence of operating load on meshing vibration of gear pairs
- Journal of Mechanical Transmission Pages: 1-6(2025)
- 作者机构：
  
  江汉大学智能制造学院，武汉 430056
- 作者简介：
- 基金信息：
- DOI：
  CLC： TH132
- Received：19 October 2025，
  
  Published Online：17 December 2025，
- 稿件说明：
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易园园，轩亮，孟丽君，等.运行负荷对齿轮副啮合振动的影响［J］.机械传动，XXXX，XX（XX）：1-6.

YI Yuanyuan，XUAN Liang，MENG Lijun，et al.Influence of operating load on meshing vibration of gear pairs［J］.Journal of Mechanical Transmission，XXXX，XX（XX）：1-6.
易园园，轩亮，孟丽君，等.运行负荷对齿轮副啮合振动的影响［J］.机械传动，XXXX，XX（XX）：1-6. DOI：

YI Yuanyuan，XUAN Liang，MENG Lijun，et al.Influence of operating load on meshing vibration of gear pairs［J］.Journal of Mechanical Transmission，XXXX，XX（XX）：1-6. DOI：

摘要

目的

齿轮传动系统常服役于变负荷甚至极端重载工况，其实际动态行为与设计工况存在显著偏差，易诱发系统异常振动及齿面磨损、轮齿断裂等故障。为揭示运行负荷对齿轮传动动力学行为的影响规律与内在机制，开展了不同负荷下齿轮副啮合状态及振动特征研究。

方法

以一对直齿圆柱齿轮为对象，通过KISSsoft软件接触分析功能，计算了表征不同负荷下齿轮啮合状态的时变啮合刚度；引入含制造误差、齿侧间隙的齿轮副扭转振动模型，数值求解了不同负荷下系统的模态特性与振动响应。

结果

结果表明，齿轮啮合具有重载硬化效应；随负荷加重，啮合刚度、重合度、固有频率及共振转速均非线性增大，且增长率呈逐渐饱和趋势；负荷越重，系统振动响应受到的制造误差的调制作用越明显。

Abstract

Objective

Gear transmission systems often operate under varying loads and even extreme heavy-duty conditions

where their dynamic behavior significantly deviates from the design specifications

potentially leading to abnormal vibrations as well as faults such as tooth surface wear and gear tooth fracture. To investigate the influence and underlying mechanisms of operating load on the dynamic behavior of gear transmissions

the meshing state and vibration characteristics of gear pairs under different loads was studied.

Methods

Taking a spur gear pair as the research object

the time-varying meshing stiffness characterizing the gear engagement state under different loads was analytically calculated using the contact analysis function of KISSssoft software. A torsional vibration model of the gear pair incorporating manufacturing errors and backlash was introduced

and the modal characteristics and vibration response of the system under different loads were numerically solved.

Results

The results indicate that the gear meshing exhibits a heavy-load hardening effect. With the increase in load

the meshing stiffness

contact ratio

natural frequency

and resonant rotational speed all increase nonlinearly

while the growth rates exhibit a gradual saturation trend. Furthermore

heavier loads amplify the modulation effect of manufacturing errors on the system response.

关键词

Keywords

references

谢磊，李政民卿 . 基于分形理论的粗糙齿面齿轮动力学研究［J］. 机床与液压， 2022 ， 50 （ 17 ）： 154 - 159 .

XIE Lei ， LI Zhengminqing . Research on gear dynamics of rough surface based on fractal theory ［J］. Machine Tool & Hydraulics ， 2022 ， 50 （ 17 ）： 154 - 159 .

陈国辉，徐业银，焦映厚 . 考虑偏转的斜齿轮啮合刚度及其振动分析［J］. 吉林大学学报（工学版）， 2023 ， 53 （ 7 ）： 1902 - 1910 .

CHEN Guohui ， XU Yeyin ， JIAO Yinghou . Meshing stiffness calculation and vibration analysis of helical gear considering deflection ［J］. Journal of Jilin University （Engineering and Technology Edition）， 2023 ， 53 （ 7 ）： 1902 - 1910 .

刘炀，张春，张宇，等 . 考虑磨损的大重合度直齿圆柱齿轮动力学分析［J］. 机械设计与制造， 2024 （ 12 ）： 87 - 90 .

LIU Yang ， ZHANG Chun ， ZHANG Yu ， et al . Dynamic analysis of high contact ratio spur gear considering surface wear ［J］. Machinery Design & Manufacture ， 2024 （ 12 ）： 87 - 90 .

张静，朱文龙，刘长钊，等 . 不同动力源激励下P2构型混动汽车动力传动系统动态特性分析［J］. 机械传动， 2025 ， 49 （ 3 ）： 101 - 111 .

ZHANG Jing ， ZHU Wenlong ， LIU Changzhao ， et al . Analysis of dynamic characteristics of power transmission system of the P2 hybrid vehicle under different power source excitation ［J］. Journal of Mechanical Transmission ， 2025 ， 49 （ 3 ）： 101 - 111 .

路志成，周建星，崔权维，等 . 基于动力学的风力机齿轮传动系统可靠性研究［J］. 太阳能学报， 2023 ， 44 （ 9 ）： 397 - 404 .

LU Zhicheng ， ZHOU Jianxing ， CUI Quanwei ， et al . Research on reliability of gear transmission system of wind turbine based on dynamics ［J］. Acta Energiae Solaris Sinica ， 2023 ， 44 （ 9 ）： 397 - 404 .

YI Y Y ， TAN X ， XUAN L ， et al . Dynamic interaction behavior of an electric motor drive multistage gear set ［J］. IEEE Access ， 2020 ， 8 ： 66951 - 66960 .

BENAÏCHA Y ， PERRET-LIAUDET J ， BELEY J D ， et al . On a flexible multibody modelling approach using FE-based contact formulation for describing gear transmission error ［J］. Mechanism and Machine Theory ， 2022 ， 167 ： 104505 .

XIE C Y ， SHU X D . A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects ［J］. Applied Mathematical Modelling ， 2021 ， 91 ： 1194 - 1210 .

CHEN Z G ， ZHOU Z W ， ZHAI W M ， et al . Improved analytical calculation model of spur gear mesh excitations with tooth profile deviations ［J］. Mechanism and Machine Theory ， 2020 ， 149 ： 103838 .

ERICSON T M ， PARKER R G . Experimental measurement of the effects of torque on the dynamic behavior and system parameters of planetary gears ［J］. Mechanism and Machine Theory ， 2014 ， 74 ： 370 - 389 .

李润方，王建军 . 齿轮系统动力学：振动、冲击、噪声［M］. 北京：科学出版社， 1997 ： 20 - 29 .

LI Runfang ， WANG Jianjun . Dynamics of gear system：vibration，impact and noise ［M］. Beijing ： Science Press ， 1997 ： 20 - 29 .

日本机械学会技术资料《齿轮强度设计资料》出版分科会 . 齿轮强度设计资料［M］. 李茹贞，赵清慧，译. 北京：机械工业出版社， 1984 ： 30 - 32 .

The Technical Materials Committee of the Japan Society of Mechanical Engineers published the Gear Strength Design Materials . Gear strength design materials ［M］. LI Ruzhen，ZHAO Qinghui，Jr. Beijing ： China Machine Press ， 1984 ： 30 - 32 .

KISSsoft AG . KISSsoft user manual ［EB/ OL］. Bubikon ： KISSsoft AG ， 2025 ： 384 - 391 . https：//www.kisssoft.com/zh/products/technical-description https://www.kisssoft.com/zh/products/technical-description .

INALPOLAT M ， KAHRAMAN A . A dynamic model to predict modulation sidebands of a planetary gear set having manufacturing errors ［J］. Journal of Sound and Vibration ， 2010 ， 329 （ 4 ）： 371 - 393 .

张展 . 机械设计通用手册［M］. 2版 . 北京：机械工业出版社， 2017 ： 118 - 119 .

ZHANG Zhan . General mechanical design manual ［M］. 2nd ed . Beijing ： China Machine Press ， 2017 ： 118 - 119 .

唐进元，王志伟，雷敦财 . 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 ， LEI Duncai . Study on the relationship between load and gear mesh stiffness，contact ratio ［J］. Journal of Mechanical Transmission ， 2014 ， 38 （ 6 ）： 1 - 4 .

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