Mesh stiffness modelling and dynamic response analysis of spur gear pair with assembly error and tooth surface friction

NIE Li; XU Zhiliang; XU Huachao

doi:10.16578/j.issn.1004.2539.2025.03.011

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Mesh stiffness modelling and dynamic response analysis of spur gear pair with assembly error and tooth surface friction

Design· Calculation | 更新时间：2025-03-20

- Mesh stiffness modelling and dynamic response analysis of spur gear pair with assembly error and tooth surface friction
- Journal of Mechanical Transmission Vol. 49, Issue 3, Pages: 79-83(2025)
- 作者机构：
  
  1.中海福陆重工有限公司，珠海 519050
  2.季华实验室超滑工程中心，佛山 528251
  3.重庆电子科技职业大学智能制造与汽车学院，重庆 401331
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2025.03.011
  CLC： TH132
- Received：15 December 2023，
  
  Published：15 March 2025
- 稿件说明：
移动端阅览
聂力，徐志良，许华超. 装配误差和齿面摩擦影响下直齿轮啮合刚度建模与动力学响应分析［J］. 机械传动，2025，49（3）：79-83.

NIE Li，XU Zhiliang，XU Huachao. Mesh stiffness modelling and dynamic response analysis of spur gear pair with assembly error and tooth surface friction［J］. Journal of Mechanical Transmission，2025，49（3）：79-83.
聂力，徐志良，许华超. 装配误差和齿面摩擦影响下直齿轮啮合刚度建模与动力学响应分析［J］. 机械传动，2025，49（3）：79-83. DOI： 10.16578/j.issn.1004.2539.2025.03.011.

NIE Li，XU Zhiliang，XU Huachao. Mesh stiffness modelling and dynamic response analysis of spur gear pair with assembly error and tooth surface friction［J］. Journal of Mechanical Transmission，2025，49（3）：79-83. DOI： 10.16578/j.issn.1004.2539.2025.03.011.

摘要

目的

为探究安装误差和齿面摩擦共同作用下直齿轮副啮合和动力学演化规律，采用直齿轮副几何关系分析与能量法相结合的方法，研究了安装误差和齿面摩擦对直齿轮副啮合的影响。

方法

基于集中质量法建立了直齿圆柱齿轮副6自由度弯扭耦合振动模型，通过龙格-库塔法求解获得了表征系统啮合行为及动力学响应的数值解。

结果

分析结果表明，直齿轮副啮合刚度幅值随齿面摩擦因数的增加而降低。同时仿真结果表明，适当地调整直齿轮副安装情况和合理的齿面摩擦因数，可以改善直齿轮副传动精度和振动情况。结果可为开展系统误差影响下直齿轮传动系统的动力学研究提供参考。

Abstract

Objective

To explore the meshing and dynamic evolution of spur gear pairs under the combined influence of assembly errors and tooth surface friction

a method integrating geometric analysis of spur gear pairs with energy method was employed. The impact of assembly errors and tooth surface friction on spur gear pair meshing was investigated.

Methods

A 6-degree-of-freedom bending-torsional coupling vibration model of spur gears was established based on the lumped mass method. Numerical solutions characterizing the meshing behavior and dynamic response of the system were obtained using the Runge-Kutta method.

Results

The analysis reveals that

the mesh stiffness amplitude of the spur gear pair decreases with the increase of the tooth surface friction coefficient. Additionally

simulation results demonstrate that appropriately adjusting the installation conditions and using reasonable tooth surface friction coefficients of spur gear pairs can improve its transmission accuracy and vibration characteristics. The research findings can provide references for the dynamic analysis of spur gear transmission systems under the influence of systematic errors.

关键词

Keywords

references

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