风电齿轮箱两级行星齿轮传动系统的非线性动力学特性  

Nonlinear dynamic characteristics of two-stage planetary gear transmission system in wind turbinegearbox

作　　者：向玲[1] 刘随贤 张军华 XIANG Ling;LIU Suixian;ZHANG Junhua(Department of Mechanical Engineering,North China Electric Power University,Baoding 071003,China)

机构地区：[1]华北电力大学机械工程系,河北保定071003

出　　处：《振动与冲击》2020年第15期193-199,229,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(51675178)。

摘　　要：考虑风电齿轮箱两级行星轮系传动系统各齿轮副的时变啮合刚度、综合啮合误差和齿侧间隙等非线性因素的基础上,建立了广义坐标下增速齿轮箱两级行星齿轮传动系统的动力学模型,采用变步长Gill积分法对该模型进行求解;采用分岔图、相图、FFT频谱图、poincaré截面图及最大Lyapunov指数图分析了激励频率和啮合阻尼比对系统振动响应及分岔特性的影响。结果表明:系统在多种非线性因素的耦合作用下会表现出丰富的非线性动力学行为,随着激励频率的增大,系统在混沌运动、拟周期运动和倍周期运动之间切换和变化,且退出混沌的方式多为倒分岔;在保证系统传动效率的前提下适当提高系统的啮合阻尼比,能够明显弱化和抑制系统的混沌运动,减小其振动幅度,对提高系统的稳定性具有一定的作用。Consideringnonlinear factors including time-varying meshing stiffness, meshing error and backlash of all gear pairs of two-stage planetary gear systemin wind turbine gearbox, the dynamic model of a two-stage planetary gear transmission system under generalized coordinates was established. Gill variable step numerical integralmethod was used to solve dynamic characteristics of the model.Bifurcation diagram, phase diagram, FFT frequency spectrogram, Poincarémaps and Lyapunov maximum exponent diagram were used to comprehensivelyanalyze effects of excitation frequency and meshing damping ratio on the system vibration response and bifurcation characteristics. Results showed that the system reveals rich nonlinear dynamic behaviors under the coupled action of various nonlinear factors;with increase in excitation frequency, the system switches amongchaos motion, quasi-periodic one and double-periodic one, its way out of chaos is backward bifurcation;under the premise of ensuring the system transmission efficiency, properly increasing the system’s meshing damping ratio can obviously weaken and suppress the system’s chaotic motion, reduce its vibration amplitude, and improve the system’s stability to a certain extent.

关 键 词：风电齿轮箱 两级行星齿轮 非线性动力学 分岔 混沌 

分 类 号：TG132[一般工业技术—材料科学与工程]