考虑齿圈柔性的行星传动系统固有特性与灵敏度研究

陶庆 1; 孙文磊 1; 周建星 1; 2

doi:10.7652/xjtuxb201503018

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考虑齿圈柔性的行星传动系统固有特性与灵敏度研究

更新时间：2025-07-09

- 考虑齿圈柔性的行星传动系统固有特性与灵敏度研究
- Research on Inherent Characteristics and Sensitivities of Planetary Gear Transmission
- 西安交通大学学报 2015年49卷第3期页码：113-120
- 作者机构：
  
  新疆大学机械工程学院,乌鲁木齐,830047
- 作者简介：
- 基金信息：
  
  : 2014-08-10。作者简介: 陶庆(1978—),男,博士生;孙文磊(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(51065026,51465056);新疆维吾尔自治区自然科学基金资助项目(2011211A002)
- DOI：10.7652/xjtuxb201503018
  中图分类号： TH113
- 网络首发：2015-03-10，
  
  纸质出版：2015
- 稿件说明：
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陶庆 1, 孙文磊 1, 周建星 1, 等. 考虑齿圈柔性的行星传动系统固有特性与灵敏度研究[J]. 西安交通大学学报, 2015,49(3):113-120.

Research on Inherent Characteristics and Sensitivities of Planetary Gear Transmission[J]. 2015, 49(3): 113-120.
陶庆 1, 孙文磊 1, 周建星 1, 等. 考虑齿圈柔性的行星传动系统固有特性与灵敏度研究[J]. 西安交通大学学报, 2015,49(3):113-120. DOI： 10.7652/xjtuxb201503018.

Research on Inherent Characteristics and Sensitivities of Planetary Gear Transmission[J]. 2015, 49(3): 113-120. DOI： 10.7652/xjtuxb201503018.

摘要

为有效地模拟行星齿轮传动系统齿圈结构柔性

采用有限元方法建立了齿圈结构模型

依据啮合力与内齿圈的变形协调关系建立了传动系统刚-柔耦合动力学模型

求解了系统固有频率与振型

阐述了耦合系统固有频率的分布规律

依据系统振动特征

将系统振型划分为6种振动模式。计算了系统刚度对各阶固有频率的灵敏度

可作为行星传动系统振动抑制的依据

分析了系统扭转振动随太阳轮扭转刚度和太阳轮与行星轮啮合刚度的变化规律

讨论了齿圈厚度对系统固有频率分布、子系统耦合阶次与振动模式的影响

发现系统固有频率均会在齿轮子系统扭转振动频率位置出现

但随着齿圈厚度的增加

与之耦合的齿圈振动模式则逐渐由高阶节径振动逐渐降低

系统一阶振型也会由齿圈节径振动模式转变为齿圈刚体振动模式。

Abstract

A novel modelling method is proposed for rigid-flexible coupled planetary gear transmission systems that consist of rigid gear subsystems and elastic ring gear subsystems. The model for rigid gear subsystems is established by using the lumped parameter method and the model for elastic ring gear subsystems is established by using the FEA method. The natural frequency and vibration modes are deter-mined according to the compatible state of deformation between mesh force and ring gear deformation

and the distribution of the natural frequency for the coupled system is described. It is based on the vibration characteristics of the system that the vibration modes are classified into six kinds of modes. The effects of system rigidity to the sensitivities of natural frequency with different orders are calculated

and can be used as the bases for planetary transmission system vibration suppression. The influences of torsional stiffness of sun gear and the mesh stiffness between sun gear and planetary gears to the torsional vibration of the system are analyzed. The influences of the gear rim thickness to the system natural frequency distribution

to the subsystem coupling order time and to the vibration mode are discussed. It is found that the natural frequency appears in the position of the gear subsystem torsional vibration frequency

but the ring gear vibration mode is gradually reduced from the high-order section diameter and the first order vibration mode of the system is changed from a circle section diameter vibration mode into a gear ring rigid vibration mode as the thickness of the ring gear increase.

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references

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