支承刚度变化下风电齿轮传动系统的非线性动力学特性

风电齿轮传动系统的动力学研究对降低其振动和噪声、提高系统稳定性和进一步探究其故障机理具有重要意义。为进一步研究其非线性动力学特性,采用集中参数模型建立风电齿轮传动系统平移-扭转动力学模型,该模型考虑了非线性因素如各齿轮副的时变啮合刚度、综合啮合误差和齿侧间隙,结合时间历程图、FFT频谱图、相图、Poincaré截面图、分岔图及最大Lyapunov指数图分析了系统在随激励频率变化和随支承刚度变化下的动力学特性。结果发现,系统随着激励频率的不断增大会表现出单周期运动、拟周期运动和混沌等多种非线性动力学行为。随着支承刚度的增加,系统由2周期运动经激变进入混沌运动,最终又回归至周期运动,且通过改变支承刚度观察激励频率变化下系统的影响,发现支承刚度的增加能够弱化混沌,增加周期窗口,并出现混沌运动延后的现象。

Nonlinear dynamic characteristics of wind turbine gear transmission system with varying support stiffness

Nonlinear dynamic analysis of wind turbine gear transmission system is very important to reduce its noise and vibration,improve the stability of the system and further explore its fault mechanism.The translational-torsional dynamic model of a wind turbine gear transmission system with time-varying meshing stiffness,meshing errors and tooth backlash was established.The system’s dynamic characteristics were analyzed with variation of excitation frequency and support stiffness using time history diagram,FFT frequency spectrum one,phase one,Poincarésection one,bifurcation one and the maximum Lyapunov exponent graph.The results showed that the system reveals single periodic motion,quasi-periodic motion and chaos,etc.nonlinear dynamic behaviors with increase in excitation frequency;the system behavior changes from a 2-period motion into chaotic one,and comes back to periodic motion with increase in support stiffness;increase in support stiffness can weaken chaotic motion,increase the periodic motion window and delay chaotic motion.