Nonlinear Frequency Response Analysis of Herringbone Gear Pair based on Incremental Harmonic Balance Method

Libang Wang; Hao Dong

doi:10.16578/j.issn.1004.2539.2021.08.003

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Nonlinear Frequency Response Analysis of Herringbone Gear Pair based on Incremental Harmonic Balance Method

Theory·Reserach | 更新时间：2022-11-10

- Nonlinear Frequency Response Analysis of Herringbone Gear Pair based on Incremental Harmonic Balance Method
- Journal of Mechanical Transmission Vol. 45, Issue 8, Pages: 18-28(2021)
- 作者机构：
  
  1.西安工业大学机电工程学院，陕西西安 710021
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2021.08.003
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王理邦,董皓.基于增量谐波平衡法的人字齿轮副非线性频响特性分析[J].机械传动,2021,45(08):18-28.

Wang Libang,Dong Hao.Nonlinear Frequency Response Analysis of Herringbone Gear Pair based on Incremental Harmonic Balance Method[J].Journal of Mechanical Transmission,2021,45(08):18-28.
王理邦,董皓.基于增量谐波平衡法的人字齿轮副非线性频响特性分析[J].机械传动,2021,45(08):18-28. DOI： 10.16578/j.issn.1004.2539.2021.08.003.

Wang Libang,Dong Hao.Nonlinear Frequency Response Analysis of Herringbone Gear Pair based on Incremental Harmonic Balance Method[J].Journal of Mechanical Transmission,2021,45(08):18-28. DOI： 10.16578/j.issn.1004.2539.2021.08.003.

摘要

建立了考虑时变啮合刚度、恒定间隙、动态间隙、静态传动误差和外部动态激励的人字齿轮副扭转动力学模型，采用增量谐波平衡法分别求解了恒定间隙和动态间隙下系统的频响特性，用Runge-Kutta数值法对计算结果进行验证，分析了时变啮合刚度、阻尼、静态传动误差及外载激励对系统幅频特性的影响。结果表明，系统中不仅存在着主谐波响应，而且存在着超谐波响应；时变啮合刚度、静态传动误差对系统幅频响应有激励作用，阻尼对系统幅频响应有抑制作用，改变外载激励对系统幅频响应状态变化的影响不大；相比于恒定间隙，增加动态间隙幅值能进一步控制齿轮系统的非线性振动。

Abstract

The torsional dynamics model of herringbone gear pair considering time-varying meshing stiffness， constant backlash， dynamic backlash， static transmission error and external dynamic excitation is established. The frequency response characteristics of the system under constant and dynamic backlashes are solved by incremental harmonic balance method， and the results are further verified by Runge-Kutta numerical integration method. The influence of time-varying meshing stiffness， damping， static transmission error and external load excitation on the amplitude frequency characteristics of the system is analyzed. The results show that， there is not only main harmonic response， but also super-harmonic response in the system. The time-varying meshing stiffness and static transmission error can stimulate the amplitude frequency response of the system， while the damping can restrain the amplitude frequency response of the system. Changing the external load excitation has little effect on the amplitude frequency response state change of the system. Compared with the constant backlash， increasing the dynamic backlash amplitude can further control the nonlinear vibration of the gear system.

关键词

人字齿轮间隙增量谐波平衡法非线性频响特性

Keywords

Herringbone gearBacklashIncremental harmonic balance methodNonlinearFrequency response characteristic

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Related Institution

Department of Mechanical Systems， AECC Commercial Aircraft Engine Co.， Ltd.

Shantui Construction Machinery Co.， Ltd.

Key Laboratory of Highway Construction Technology and Equipment of Ministry of Education， Chang'an University

School of mechanical and power engineering，Harbin University of Science and Technology

School of mechatronics engineering，Harbin Institute of Technology

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