Analysis of Factor Affecting Frequency Coupling of Double Planetary Gear System

Hao Xiaohua; Yuan Xia; Bai Jinlin; Li Fenggang; Qin Jin

doi:10.16578/j.issn.1004.2539.2020.03.018

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Analysis of Factor Affecting Frequency Coupling of Double Planetary Gear System

Test·Analysis | 更新时间：2022-10-20

- Analysis of Factor Affecting Frequency Coupling of Double Planetary Gear System
- Journal of Mechanical Transmission Vol. 44, Issue 3, Pages: 110-117(2020)
- 作者机构：
  
  1.中北大学机械工程学院，山西太原 030051
- 作者简介：
- 基金信息：
- DOI：10.16578/j.issn.1004.2539.2020.03.018
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郝晓华,原霞,白金霖等.双排行星齿轮系统频率耦合影响因素分析[J].机械传动,2020,44(03):110-117.

Hao Xiaohua,Yuan Xia,Bai Jinlin,et al.Analysis of Factor Affecting Frequency Coupling of Double Planetary Gear System[J].Journal of Mechanical Transmission,2020,44(03):110-117.
郝晓华,原霞,白金霖等.双排行星齿轮系统频率耦合影响因素分析[J].机械传动,2020,44(03):110-117. DOI： 10.16578/j.issn.1004.2539.2020.03.018.

Hao Xiaohua,Yuan Xia,Bai Jinlin,et al.Analysis of Factor Affecting Frequency Coupling of Double Planetary Gear System[J].Journal of Mechanical Transmission,2020,44(03):110-117. DOI： 10.16578/j.issn.1004.2539.2020.03.018.

摘要

针对双排行星齿轮动态响应中出现的频率耦合现象，利用Adams软件，对双排行星齿轮两种典型连接形式建立动力学仿真模型。将啮合力进行傅里叶分解并按照两排的齿频及其倍频合成。以两部分啮合力的幅值比例，研究连接刚度、转速与负载对双行星齿轮频率耦合影响规律，结果表明，对于串联形式的双排齿排连接，连接轴扭转刚度达到10,8, N·mm/（°）及以上时，频率耦合影响比例稳定，当前排齿频影响比例始终高于耦合齿频影响比例；随转速升高，当前排齿频影响比例增大，而提高负载，当前排齿频影响比例减小，耦合频率影响比例与之相反；对于并联齿排负载与转速组合分析，在工作区间，两排中频率耦合影响比例表现形式类似，∑,f,h,减∑,f,b,正比于负载比减转速比；多排行星齿轮系统中，频率影响比例分布符合上述串联、并联齿排频率耦合规律，且并联齿排频率耦合情况较串联齿排严重。

Abstract

Aiming at the phenomenon of frequency coupling in the dynamic response of double planetary gears system，this paper uses MSC.Adams software to establish a dynamic simulation models for two typical connection forms of double planetary gears system. The meshing force is Fourier-decomposed and combined according to the two-row tooth frequency and its multiplication. The influence of joint stiffness，rotational speed and load on frequency coupling of double planetary gears is studied by the ratio of the amplitude of the two-part meshing force. The results show that when the joint stiffness of the connection shaft reaches 10,8, N·mm/（°） or more，the proportion of frequency coupling is stable，and the current gear tooth frequency influence ratio is always higher than the coupling gear frequency influence ratio. As the speed increases，the current gear tooth frequency influence ratio increases，and the load increases，the current gear tooth frequency influence ratio decrease，the coupling frequency influence ratio is opposite. For the parallel tooth row load and speed combination analysis，in the working range，the frequency coupling influence ratios in the two rows are similarly expressed，∑,f,h, minus∑,f,b, is proportional to the load ratio minus the speed ratio. In multi-row planetary gear system，the frequency influence ratio distribution conforms to the above-mentioned frequency coupling law of series and parallel row，and the frequency coupling of parallel row is more serious than that of series row.

关键词

行星齿轮频率耦合傅里叶级数

Keywords

Planet gearFrequency couplingFourier series

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