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清华大学学报(自然科学版)  2018, Vol. 58 Issue (10): 888-898    DOI: 10.16511/j.cnki.qhdxxb.2018.22.047
  航空航天与工程力学 本期目录 | 过刊浏览 | 高级检索 |
面齿轮副扭转振动建模与分析
冯光烁, 黄旭东, 兰旭东, 周明
清华大学 航天航空学院, 北京 100084
Torsional vibration modeling and analysis of a face-gear pair
FENG Guangshuo, HUANG Xudong, LAN Xudong, ZHOU Ming
School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
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摘要 面齿轮副在航空领域和汽车领域具有重要的应用前景。扭转振动问题是面齿轮副的核心问题之一。该文研究了面齿轮副扭转振动的建模与分析方法。建立了单输入单输出面齿轮副扭转振动模型,该模型包含非对称时变啮合刚度、间隙非线性、静态传动误差等因素。基于加载接触分析,提出面齿轮副扭转啮合刚度的计算方法,并对某型面齿轮副的非对称时变啮合刚度进行了计算。通过与Abaqus有限元动力学计算结果进行对比,验证了扭转振动模型的有效性。基于所建立的模型,分析了面齿轮副设计状态时的动态特性,研究了啮合刚度、啮合间隙、静态传动误差、扭矩波动等因素对面齿轮副动态特性的影响,以及面齿轮副蕴含的非线性动力学响应。结果表明:所提出的面齿轮副扭转振动建模方法是有效的,所建立的模型能够用于研究面齿轮副的啮合特性、动态特性,指导以及校核面齿轮副的设计。
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冯光烁
黄旭东
兰旭东
周明
关键词 面齿轮扭转振动非对称时变啮合刚度啮合间隙静态传动误差    
Abstract:Face-gear drives have great potential in the aviation and automotive industries. However, torsional vibrations are a key issue in face-gear pairs. This study focuses on modeling and analyses of the torsional vibrations in a face-gear pair. A torsional vibration model is given for a one-input, one-output face-gear drive with asymmetric time-varying mesh stiffness, backlash nonlinearity and static transmission errors. The torsional mesh stiffness of a face-gear pair is calculated from a loaded tooth contact analysis in a numerical example. The torsional vibration model is validated by comparing the responses with the dynamic responses predicted by Abaqus. The model is then used to analyze the dynamic behavior of a face-gear pair for the design conditions to investigate the effects of mesh stiffness, backlash, static transmission errors, and torque fluctuations on the dynamic characteristics of the face-gear pair and the nonlinear dynamic response. The results show that the model accurately predicts the face-gear pair torsional vibrations and can be used to study the mesh characteristics and the dynamic characteristics of face-gear pairs to guide the design of face-gear pairs.
Key wordsface gear    torsional vibration    asymmetric time-varying mesh stiffness    backlash    static transmission error
收稿日期: 2018-05-22      出版日期: 2018-10-17
基金资助:中国博士后科学基金项目(2017M620793)
通讯作者: 周明,研究员,E-mail:zmzlh@tsinghua.edu.cn     E-mail: zmzlh@tsinghua.edu.cn
引用本文:   
冯光烁, 黄旭东, 兰旭东, 周明. 面齿轮副扭转振动建模与分析[J]. 清华大学学报(自然科学版), 2018, 58(10): 888-898.
FENG Guangshuo, HUANG Xudong, LAN Xudong, ZHOU Ming. Torsional vibration modeling and analysis of a face-gear pair. Journal of Tsinghua University(Science and Technology), 2018, 58(10): 888-898.
链接本文:  
http://jst.tsinghuajournals.com/CN/10.16511/j.cnki.qhdxxb.2018.22.047  或          http://jst.tsinghuajournals.com/CN/Y2018/V58/I10/888
  图1 面齿轮副常用构型示意图
  图2 单输入单输出面齿轮副扭转振动力学模型
  图3 面齿轮副有限元模型及边界条件
  表1 某面齿轮副主要设计参数
  图4 某面齿轮副的啮合刚度
  图5 面齿轮副扭转振动模型瞬态工况 验证结果(10Nm,4000r/min)
  图6 面齿轮副设计状态动态特性
  图7 设计状态稳态响应频谱
  图8 啮合间隙对动态特性的影响
  图9 存在扭矩波动时的稳态响应频谱
  图10 面齿轮副分岔图
  图11 面齿轮副在12000r/min工况点的动态响应
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