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Nonlinear dynamics analysis of the spur gear system for railway locomotive

机译：铁路机车正齿轮系统的非线性动力学分析

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摘要

Considering the factors such as the nonlinearity backlash, static transmission error and time-varying meshing stiffness, a three-degree-of-freedom torsional vibration model of spur gear transmission system for a typical locomotive is developed, in which the wheel/ rail adhesion torque is considered as uncertain but bounded parameter. Meantime, the Ishikawa method is used for analysis and calculation of the time-varying mesh stiffness of the gear pair in meshing process. With the help of bifurcation diagrams, phase plane diagrams, Poincarfi maps, time domain response diagrams and amplitude-frequency spectrums, the effects of the pinion speed and stiffness on the dynamic behavior of gear transmission system for locomotive are investigated in detail by using the numerical integration method. Numerical examples reveal various types of nonlinear phenomena and dynamic evolution mechanism involving one-period responses, multi-periodic responses, bifurcation and chaotic responses. Some research results present useful information to dynamic design and vibration control of the gear transmission system for railway locomotive.
机译：考虑到非线性反冲，静态传递误差和时变啮合刚度等因素，建立了典型机车正齿轮传动系统的三自由度扭转振动模型，在该模型中轮/轮附着力矩被认为是不确定但有界的参数。同时，采用Ishikawa方法对啮合过程中齿轮副随时间变化的啮合刚度进行分析和计算。借助于分岔图，相平面图，庞加非图，时域响应图和振幅频谱，利用数值方法，详细研究了小齿轮速度和刚度对机车齿轮传动系统动态性能的影响。整合方法。数值例子揭示了各种类型的非线性现象和动态演化机制，包括一周期响应，多周期响应，分叉和混沌响应。一些研究成果为铁路机车齿轮传动系统的动态设计和振动控制提供了有益的信息。

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