双向齿条传动摩擦纳米发电机非线性动力学

Nonlinear dynamics of a bidirectional gear-driven friction nanogenerator

  • 摘要: 考虑时变啮合刚度、时变支撑刚度、传动误差、齿侧间隙和轴承间隙,建立双向齿条传动摩擦纳米发电机(TENG)系统非 线性动力学模型。采用龙格?库塔法求解系统振动微分方程,得到系统的时变啮合力图、时频图、相图、FFT频谱图、庞加莱截 面图、分岔图和三维频谱图,探究外部负载激励频率对系统动力学特性的影响。结合摩擦纳米发电技术,获取不同参数下 TENG的输出性能,研究外部载荷激励频率和啮合刚度对系统能量收集的影响机理。结果表明:双向齿条传动摩擦纳米发电 机机械传动系统具有明显的非线性特性,合理选择外部负载激励频率和啮合刚度,避免不稳定区间的控制,可以提高机械能转 换效率,增加发电量。

     

    Abstract: The nonlinear dynamics of the bidirectional gear-driven friction nanogenerator (TENG) system is modelled by considering the time-varying meshing stiffness, time-varying support stiffness, transmission error, tooth side clearance and bearing clearance. The ode45 function is used to solve the vibration differential equations of system, and the time-varying meshing force diagram, time-frequency diagram, phase diagram, FFT spectrum diagram, Poincaré diagram, bifurcation diagram and three dimensional spectrum diagram of the system are obtained, to explore the effect of the excitation frequency of the external load on the system dynamics characteristics. In addition, friction nano-generation technology is combined to obtain the output performance of TENG under different parameters, and to investigate the mechanism of the influence of external load excitation frequency and average engagement stiffness on the energy harvesting of the system. The results show that the bidirectional gear-driven friction nanogenerator mechanical transmission system has obvious nonlinear characteristics, and reasonable selection of the external load excitation frequency and meshing stiffness to avoid the control of unstable intervals can improve the mechanical energy conversion efficiency and increase the power generation capacity of TENG.

     

/

返回文章
返回