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基于集中参数理论,建立了封闭差动人字齿轮传动系统动力学模型,模型中考虑了支撑的弹性变形、啮合齿轮副的时变啮合刚度激励、误差激励以及中间浮动构件的影响.引入斜齿轮啮合刚度公式按并联方式计算了人字齿时变啮合刚度,采用傅里叶级数法求解系统动力学方程,获得了系统动态均载系数,分析了偏心与齿频误差对系统均载特性的影响.研究结果表明:差动级均载系数对齿频误差敏感,随齿频误差的增加而增大,均载系数基本不受偏心误差的影响;封闭级均载系数对偏心误差敏感,随偏心误差的增加而增大,均载系数基本不受齿频误差的影响;齿频误差对差动级均载系数的影响比偏心误差对封闭级均载系数的影响大,差动级均载系数大于封闭级均载系数.
Based on the theory of concentration parameters, a dynamic model of a closed differential herringbone gear transmission system is established, in which the elastic deformation of the support, the time-varying meshing stiffness excitation, the error excitation and the influence of the intermediate floating components are taken into account in the model. The formula of the engagement stiffness was used to calculate the time-varying meshing stiffness of herringbone teeth in parallel mode. The system dynamics equations were solved by using the Fourier series method. The dynamic load sharing coefficient of the system was obtained. The influence of eccentricity and tooth- .The results show that the differential load coefficient is sensitive to the tooth frequency error and increases with the increase of the tooth frequency error, the average load coefficient is not affected by the eccentricity error. The closed load coefficient is sensitive to eccentricity error, The eccentricity error increases and the average load coefficient is not affected by the tooth frequency error; the effect of tooth frequency error on the differential load coefficient is greater than that of the eccentricity error on the average load factor of the closed type, Coefficient is greater than the closed-level load factor.