Study on Dynamics of Backlash in Spiral Bevel Gear Pair based on Time-varying Factor

Qiu Huansong; Yuan Jiehong; Li Yuan

doi:10.16578/j.issn.1004.2539.2015.02.008

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Study on Dynamics of Backlash in Spiral Bevel Gear Pair based on Time-varying Factor

更新时间：2022-10-20

- Study on Dynamics of Backlash in Spiral Bevel Gear Pair based on Time-varying Factor
- Vol. 39, Issue 2, Pages: 12-15(2015)
- 作者机构：
  
  1. 国防科技大学指挥军官基础教育学院
  2. 湖南大学汽车车身先进设计制造国家重点实验室机械与运载工程学院
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2015.02.008
  CLC：
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[1]邱桓松,袁杰红,李源.基于时变因素影响的弧齿锥齿轮副间隙动力学研究[J].机械传动,2015,39(02):12-15+39.

Qiu Huansong, Yuan Jiehong, Li Yuan. Study on Dynamics of Backlash in Spiral Bevel Gear Pair based on Time-varying Factor. [J]. 39(2):12-15(2015)
[1]邱桓松,袁杰红,李源.基于时变因素影响的弧齿锥齿轮副间隙动力学研究[J].机械传动,2015,39(02):12-15+39. DOI： 10.16578/j.issn.1004.2539.2015.02.008.

Qiu Huansong, Yuan Jiehong, Li Yuan. Study on Dynamics of Backlash in Spiral Bevel Gear Pair based on Time-varying Factor. [J]. 39(2):12-15(2015) DOI： 10.16578/j.issn.1004.2539.2015.02.008.

摘要

基于时变啮合阻尼、时变啮合刚度和静态传递误差的考虑,建立了含间隙的弧齿锥齿轮副扭转动力学模型,并采用Runge-Kutta法求解,主要分析时变啮合阻尼和齿侧间隙对系统响应的影响。计算结果表明,系统的非线性振动特性受时变啮合阻尼和间隙的影响较明显。随着阻尼系数和间隙的改变,系统振幅在一定范围内会产生较明显的波动,而且还会出现周期、拟周期和混沌运动以及分岔和跳跃现象等非线性特性。

Abstract

Considering of time-varying meshing damping and time-varying meshing stiffness and static transfer errors,the torsional dynamics model of spiral bevel gear pair with backlash is established.The Runge-Kutta numerical integral method is then used to solve the model.The dynamic response of gear system is acquired under the influence of time-varying mesh damping and gear backlash.The results show that the non-linear vibration characteristics of gear system are affected obviously by time-varying mesh damping and gear backlash.With the change of meshing frequency and backlash,the system amplitude could produce evident fluctuation in a certain range and the non-linear characteristics are observed,such as periodic motion,quasi periodic motion and chaotic motion as well as bifurcation and jumping phenomenon etc.

关键词

弧齿锥齿轮时变啮合阻尼时变啮合刚度齿侧间隙动态响应

Keywords

Spiral bevel gearTime-varying meshing dampingTime-varying meshing stiffnessGear backlashDynamic response

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