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中文核心期刊

电驱齿轮系统非线性动力学特性分析

NONLINEAR DYNAMIC CHARACTERISTICS ANALYSIS OF ELECTRIC DRIVE GEAR SYSTEM

  • 摘要: 精准建立电驱齿轮系统动力学模型并分析其非线性振动特性, 是开展系统振动抑制与性能优化的核心前提. 研究首先采用切片法结合积分思想计算了齿轮副的时变啮合刚度(time-varying mesh stiffness, TVMS), 并基于赫兹接触理论求解了轴承的时变接触力, 进而综合考虑传动误差、齿侧间隙等多源激励因素, 建立了齿轮-轴承耦合的非线性动力学模型. 运用四阶龙格-库塔法对模型进行数值求解, 获取系统的动态响应, 分析其时域特征、相轨迹形态及分岔行为, 并探讨激励频率变化对振动响应的影响规律. 进一步, 从全局视角研究系统在不同激励频率变化过程中系统吸引域的演化规律, 以揭示不同参数条件下的多稳态及其稳定性. 最后, 通过电驱总成实验台架实测数据与仿真结果的对比, 验证所建动力学模型及其动态响应预测的有效性. 研究结果表明, 激励频率对系统振动特性具有显著调控作用, 在特定频率区间内系统会呈现出单周期、多周期分岔乃至混沌等复杂动力学行为. 上述成果为电驱齿轮系统的振动抑制与稳定性优化提供了理论支撑.

     

    Abstract: The accurate establishment of a dynamic model for electric drive gear systems and the analysis of their nonlinear vibration characteristics serve as the core prerequisite for implementing system vibration suppression and performance optimization. In this research, the time-varying mesh stiffness (TVMS) of the gear pair is calculated by the slice method combined with the integral idea, and the time-varying contact force of the bearing is solved based on the Hertz contact theory. and then the nonlinear dynamic model of the gear-bearing coupling is established by comprehensively considering the multi-source excitation factors such as transmission error and backlash. Subsequently, the fourth-order Runge-Kutta numerical integration method is employed to solve the established nonlinear dynamic equations, thereby obtaining the dynamic response of the system, on this basis, the time-domain features, phase trajectory patterns, and bifurcation behaviours of the system are systematically analysed, and the quantitative influence law of excitation frequency changes on the amplitude, waveform, and other characteristics of vibration responses is explored in detail. Furthermore, from a global dynamic perspective, the evolutionary rule of the system’s attraction domains during the variation of different excitation frequencies is investigated, aiming to reveal the multi-stable phenomena and their corresponding stability characteristics under different parameter configurations. Finally, the effectiveness of the proposed dynamic model and the accuracy of its dynamic response prediction are verified through a comprehensive comparative analysis between the experimental data measured on a dedicated electrified drive assembly test rig and the numerical simulation results. The research findings indicate that excitation frequency exerts a significant regulatory effect on the nonlinear vibration characteristics of the electrified drive gear system, and within specific frequency intervals, the system exhibits complex dynamic behaviours such as single-periodic motion, multi-periodic bifurcation, and even chaotic motion. These research achievements provide a solid theoretical support and reliable technical reference for the vibration suppression, stability improvement, and dynamic performance optimization of electrified drive gear systems in practical engineering applications.

     

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