挠曲电悬臂结构的功率频率响应及频移分析

挠曲电效应因其对尺度的敏感性,在微纳尺度的传感器和能量收集器方面具有广阔的应用前景.该文基于挠曲电悬臂梁构建振动能量收集器理论模型,应用Hamilton原理,建立挠曲电悬臂梁结构的控制方程,借助模态分析获得挠曲电悬臂结构的功率频率响应.讨论了结构尺寸、末端质量块、负载阻抗和挠曲电系数等对挠曲电梁谐振频率和频率移动的影响...

Analysis of Frequency Response and Frequency Shift of Flexoelectric Cantilever Structure

Because of the sensitivity to scale, the flexoelectric effect has broad application prospects in micro/nano scale sensors and energy harvesters. In this paper, a theoretical model of a vibration energy harvester is constructed based on a flexoelectric cantilever. The Hamilton principle is applied to establish the control equation of the flexoelectric cantilever structure. The power frequency response of the flexoelectric cantilever structure is obtained by means of modal analysis. The influences of the structure size, tip mass, load impedance and flexoelectric coefficient on the resonant frequency and frequency shift of the flexoelectric cantilever beam is discussed. The results show that the increase of the tip mass can increase the energy harvester outputs power. When the load impedance of the flexural electric cantilever energy harvester is close to its own impedance, the output power is the largest, and the load impedance and the structural resonance frequency form a negative feedback adjustment.Within a certain range, the resonance frequency increases with the increase of the load, and eventually tends to the extremum of frequency shift.