双稳态压电振动能量采集器的时-频域动力学特性及实验研究

Dynamic Characteristics in Time-Frequency Domain and Experimental Research of the Bi-Stable Piezoelectric Vibration Energy Harvester

为揭示双稳态压电振动能量采集器系统参数对其时-频域动力学特性的影响,利用等效磁荷法和拉格朗日方程及基尔霍夫电流定律分别建立了双稳态压电振动采集器的非线性磁力模型和系统分布参数动力学方程;基于谐波平衡法对双稳态压电悬臂梁振动能量采集器的动力学响应特性进行了解析,并分别从频域和时域角度仿真分析了系统参数对采集器动力学响应特性的影响规律,实验验证了仿真结果的正确性,研究结果有利于对双稳态压电振动能量采集器的结构优化设计和综合性能的提高。

To reveal the effects of the system parameters on the time-frequency domain dynamic characteristics of the bi-stable piezoelectric vibration harvester,the nonlinear magnetic force model and the distributed-parameter dynamic equation of the bi-stable piezoelectric vibration harvester are derived with the equivalent magnetic dipole method,the Lagrange function and the Kirchhoff law.The solution in frequency domain of the dynamic equation of the bi-stable piezoelectric vibration harvester is then obtained by the harmonic balance method.The dynamic characteristics both in time domain and frequency domain are simulated with numerical method.The experiments are then used to validate the simulated results.The research result is helpful to optimize the structure size and to improve the output performance of the bi-stable piezoelectric vibration energy harvester.