三稳态风致振动能量俘获系统分析

使用具有指数相关性的色噪声近似外界环境干扰,研究色噪声激励下驰振能量采集器(GEH)的稳态响应.首先,介绍了系统的理论机电耦合运动方程,并对其进行无量纲化处理.其次,通过广义谐波变换对方程进行等效解耦,然后使用能量包线随机平均法得到系统稳态响应的解析解.最后,使用四阶龙格库塔算法进行数值模拟,在验证解析解有效性的同时分析了风速、色噪声参数对系统稳态响应的影响.研究结果表明,较大的噪声强度有利于提升系统的能量采集性能,且在风速较低时效果更明显；噪声相关时间对系统稳态响应的影响与噪声强度相反.当系统的振动模式由风激励主导时,系统的响应表现为带有附加噪声的周期性振动；随着风速增加,增强的风激励削弱了色噪声激励对系统稳态响应的影响.此外,本文还研究了系统结构参数和电气参数对平均输出功率的影响,研究结果为优化系统设计提供了有效的理论指导.

Analysis of Tristable Wind-Induced Vibration Energy Harvesting System

The study uses colored noise with exponential correlation as an approximation of external environmental interference. The steady state response of a galloping energy harvester (GEH) under colored noise is studied. Firstly, the theoretical electromechanical coupling motion equations of the system are introduced and non dimensionalized. Secondly, the equations are equivalently decoupled through generalized harmonic transformation, then the analytical solution of the steady state response of the system is obtained through the stochastic averaging method. Finally, numerical simulations are conducted using the fourth order Runge Kutta algorithm to verify the theoretical results and analyze the effects of wind speed and colored noise parameters on the steady state response of the system. The system response exhibits periodic oscillations with additional noise when the galloping induced by wind is dominant. As the wind speed increases, the enhanced wind excitation weakens the effect of color noise excitation on the steady state response of the system. In addition, this study also investigates the effects of system structure parameters and electrical parameters on the average output power, providing effective theoretical guidance for optimizing system design.