面齿轮副扭转振动建模与分析  

Torsional vibration modeling and analysis of a face-gear pair

作　　者：冯光烁[1] 黄旭东[1] 兰旭东[1] 周明[1] FENG Guangshuo;HUANG Xudong;LAN Xudong;ZHOU Ming(School of Aerospace Engineering,Tsinghua University Beijing 100084,China)

机构地区：[1]清华大学航天航空学院

出　　处：《清华大学学报（自然科学版）》2018年第10期888-898,共11页Journal of Tsinghua University(Science and Technology)

基　　金：中国博士后科学基金项目(2017M620793)

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。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 mode[ 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.

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 

分 类 号：TH132.4[机械工程—机械制造及自动化]