一种新型压电俘能器的振动特性分析及性能研究

NONLINEAR VIBRATIONOF A NOVEL PIEZOELECTRIC VIBRATION ENERGY HARVESTER

基于压电效应设计了一种包含屈曲梁、质量块和非线性弹簧的新型压电俘能器结构,并对其进行了振动响应分析.首先基于Euler-Bernoulli梁理论,利用Hamilton原理建立了压电俘能器结构的非线性动力学方程,通过Galerkin离散后数值分析了结构参数对系统一阶固有频率的影响;进一步利用多尺度法对系统进行摄动分析,研究了系统的稳态幅频特性,数值分析了各系数对幅频响应曲线的影响,结果表明该结构在简谐激励作用下会存在多种跳跃现象;最后数值分析了压电俘能器的发电性能,讨论了激励幅值和初始静挠度对发电电压的影响.

A new class of vibration energy harvester was introduced based on piezoelectric effect, which is com- posed of a buckling unimorph PZT beam, a mass and a nonlinear spring. Based on the Euler-Bernoulli beam model, the nonlinear governing equations were constructed for the energy harvester using Hamilton＇s principle. First, the natural frequency was computed and discussed with the change of structural parameters. Then, the method of multiple scales was utilized to perturbation analysis. And the amplitude-frequency characteristics were discussed based on numerical simulation. The nonlinear jumping phenomenon is found for the vibration energy harvester. Finally, the voltage effect of the energy harvester was discussed between the output voltage and the ex- ternal excitations.