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 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.
引文
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