建立风电机组两级行星齿轮加一级平行轴齿轮传动系统的动力学模型,该模型综合考虑内外部激励的影响及多种非线性因素。深入研究激励频率和齿侧间隙对系统动力学特性的影响机制。研究结果表明,随着激励频率的变化,系统主要表现为周期运动,当激励频率接近固有频率或主次谐波共振区时易诱发混沌运动,激变和倍周期分岔是系统通向混沌的主要道路。增加齿侧间隙会导致系统经历从周期运动到混沌再到周期运动的复杂演化过程,期间存在吸引子共存和跳跃不连续现象。通过协同优化齿侧间隙设计并规避主次谐波共振区可有效抑制混沌等失稳现象,提高多级行星齿轮系统的稳定性和可靠性。
Abstract
A dynamic model of two-stage planetary gear plus one-stage parallel shaft gear transmission system for wind turbines is established, which comprehensively considers the effects of internal and external excitations and a variety of nonlinear factors. The influence mechanism of the excitation frequency and the backlash on the dynamic characteristics of the system is deeply studied. The results show that with the variation of excitation frequency, the system mainly exhibits periodic motion, while chaos is readily induced when the excitation frequency approaches the system's natural frequency or the principal subharmonic resonance region. Crisis and period-doubling bifurcation are the main paths to chaos for the system. Increasing the backlash leads to the system undergoing a complex evolutionary process from periodic motion to chaos, and then back to periodic motion, during which attractor coexistence and jump discontinuity phenomena exist. Through synergistic optimization of backlash design and avoidance of the principal subharmonic resonance region, unstable phenomena such as chaos can be effectively suppressed, significantly enhancing the stability and reliability of multistage planetary gear systems.
关键词
风电机组 /
齿轮传动 /
动力学响应 /
混沌 /
振动分析
Key words
wind turbines /
gear transmissions /
dynamic response /
chaos /
vibration analysis
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