转速及扭矩对啮合齿轮副非线性特性影响分析

综合考虑时变啮合刚度、啮合阻尼、齿侧间隙、啮合误差等因素，建立了两自由度直齿轮副非线性动力学模型.用4阶变步长Runge-Kutta算法对微分方程进行了数值求解，统计了迭代过程中轮齿啮合状态比例，研究了转速和扭矩对动态传递误差的影响.研究表明:随着转速增加，轮齿啮合状态发生变化，解释了动态传递误差的周期、混沌响应和误差幅值跳跃现象；随着扭矩的增大，出现跳跃现象的转速增加，幅值变化也增大，但轮齿冲击减少.

Non linear Characteristics Analysis of Gear Pairs with the Impact of Rotational Speed and Torque

A nonlinear two degree of freedom dynamics model for a spur gear pair system is developed by considering the time varying stiffness，mesh damping，backlash and transmission error. The differential equations were solved by the fourth order variable step size Runge Kutta algorithm. The statistics of the proportion of tooth contact states in the iterative process were acquired，and the impact of the rotational speed and torque on dynamic transmission error was studied. It shown that the tooth mesh condition changes with the increase of rotational speed，which explains the cycle and chaos response of the dynamic transmission error and the error amplitude jump phenomena. With the increase of torque，jumping phenomenon of the rotational speed increased，the changes of amplitude also increased，but the tooth impact reduced.