刚度激励对机车齿轮传动系统固有特性的影响

Stiffness Incentive Effect on Locomotive Gear Transmission System Inherent Characteristics

以机车齿轮传动系统为研究对象,建立考虑时变啮合刚度的多自由度扭转振动模型,计算机车传动齿轮的啮合刚度并进行Fourier级数变换,将变换后的啮合刚度分别取一次谐波到六次谐波,模拟得到机车传动齿轮时变啮合刚度拟合函数曲线.采用四阶变步长Runge-Kutta数值方法对机车齿轮系统振动微分方程进行求解,分析得到不同啮合刚度对机车齿轮传动系统固有特性的影响,研究表明:随着啮合刚度的增加,齿轮系统的振幅增大,同时系统低频部分的固有频率减小,高频部分的固有频率增大.

Aiming at the locomotive gear transmission system, a multi-freedom torsion vibration model was established with considering the time-varying meshing stiffness. The time-varying meshing stiffness of the locomotive transmission gear is calculated, and Fourier series transformation is conducted. Then one to six times harmonic of transformed meshing stiffness is taken to simulate the time-varying meshing stiffness fitting function curve of the locomotive transmission gear. The fourth-order variable-step Runge-Kutta numerical method is used to solve the locomotive gear system vibration differential equation, and the effects on the system inherent characteristics are analyzed when the mesh stiffness is changed. The results show that, with the increase of the meshing stiffness, the gear system amplitude increase, system natural frequency of the low frequency part is reduced, and the high frequency part is increased at the same time.