Study on a Mathematical Model of the Vibration Transmission Path of Multistage Transmission Gearboxes

Kong Zhaoyi; Li Fan

doi:10.16578/j.issn.1004.2539.2023.02.004

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Study on a Mathematical Model of the Vibration Transmission Path of Multistage Transmission Gearboxes

Theory·Research | 更新时间：2023-02-25

- Study on a Mathematical Model of the Vibration Transmission Path of Multistage Transmission Gearboxes
- Journal of Mechanical Transmission Vol. 47, Issue 2, Pages: 25-34(2023)
- 作者机构：
  
  1.重庆城市科技学院智能制造学院，重庆 402167
  2.成都理工大学机电工程学院，四川成都 610059
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2023.02.004
  CLC：
- Published：15 February 2023，
  
  Received：12 January 2022，
  
  Revised：10 March 2022，
扫描看全文
孔昭毅,李凡.多级传动变速箱振动传输路径数学模型研究[J].机械传动,2023,47(02):25-34.

Kong Zhaoyi,Li Fan.Study on a Mathematical Model of the Vibration Transmission Path of Multistage Transmission Gearboxes[J].Journal of Mechanical Transmission,2023,47(02):25-34.
孔昭毅,李凡.多级传动变速箱振动传输路径数学模型研究[J].机械传动,2023,47(02):25-34. DOI： 10.16578/j.issn.1004.2539.2023.02.004.

Kong Zhaoyi,Li Fan.Study on a Mathematical Model of the Vibration Transmission Path of Multistage Transmission Gearboxes[J].Journal of Mechanical Transmission,2023,47(02):25-34. DOI： 10.16578/j.issn.1004.2539.2023.02.004.

摘要

针对多级传动变速箱内部存在多个复杂的振动传输路径，建立了变速箱多级传动振动传输路径的数学模型，采用傅里叶级数分析方法推导了振动模型的频谱结构；综合考虑各啮合振动源和时变传输路径、多级传动齿轮振动频率特性，提出了从啮合点到安装在环齿上的加速度计的等效时变传输路径函数，将时变的传输路径建模为具有不同衰减幅度的周期函数。以某多级传动变速箱为例，通过仿真和试验验证了所提数学模型的有效性。该模型可为多级变速箱的状态监测和故障诊断提供参考依据。

Abstract

Aiming at the existence of multiple complex vibration transmission paths in the multistage transmission gearbox

a mathematical model of the multistage transmission vibration transmission path of the gearbox is established

and the frequency spectrum structure of the vibration model is deduced by the Fourier series analysis method. Vibration source

time-varying transmission path and multistage transmission gear vibration frequency characteristics are considered comprehensively

an equivalent time-varying transmission path function from the meshing point to the accelerometer mounted on the ring tooth is proposed and the time-varying transmission path is modeled as having different periodic function of decay amplitude. Taking the multistage transmission gearbox as an example

the validity of the proposed mathematical model is verified by simulation and experiment. The model can provide reference for the condition monitoring and fault diagnosis of the multistage gearbox.

关键词

多级传动变速箱振动信号传输路径频率特征

Keywords

Multistage transmission gearboxVibration signalTransmission pathFrequency characteristics

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