NW风电传动系统非线性动力学

Nonlinear dynamics of NW wind power transmission system

  • 摘要: 为了更加精确地求解NW(内外啮合行星轮系)风电传动系统的非线性动力学特性,考虑了随机风速、时变支撑刚度、齿圈柔性、时变啮合刚度、传动误差、齿侧间隙、轴承游隙等因素,建立了NW行星齿轮-轴承系统的非线性动力学模型。利用时域图、频谱、相轨迹图、庞加莱截面图来描述系统的非线性特性,并用分岔图以及最大李雅普诺夫指数图描述激励频率与啮合刚度对系统非线性行为的影响。结果表明:NW行星齿轮-轴承系统具有丰富的非线性特征,激励频率在一定的范围内会导致系统进入混沌运动状态,发生失稳;啮合刚度在一定范围内可以保证系统平稳运行。

     

    Abstract: In order to accurately study the nonlinear dynamic characteristics of NW (internal and external meshing planetary gear train) wind power transmission system, this paper considers factors such as random wind speed, time-varying support stiffness, ring gear flexibility, time-varying meshing stiffness, transmission error, tooth flank clearance, and bearing clearance. A nonlinear dynamic model of the NW planetary gear-bearing system is established. Time history, FFT spectrum, Phase diagram, and Poincaré maps are used to describe the nonlinear characteristics of the system, and bifurcation diagrams and the maximum Lyapunov exponent are used to describe the influence of excitation frequency and meshing stiffness on the nonlinear behavior of the system in more detail. The results show that the NW planetary gear-bearing system has rich nonlinear characteristics. In a specific range of excitation frequencies, the system can enter a chaotic motion state, leading to instability. However, within a certain range of meshing stiffness, the system can operate stably.

     

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