系统参数对三稳态压电俘能器性能影响分析

Influence of System Parameter on the Performance of Tri-stable Piezoelectric Energy Harvester

基于Euler-Bernoulli梁假设,通过广义Hamilton变分原理建立了三稳态压电悬臂梁俘能系统的分布参数型力电耦合方程,利用多尺度法得到方程的解析解。重点研究了初始起振位置以及材料参数等对系统动力响应的影响。结果表明:选择合适的初始起振位置可使系统更容易进入高能轨道,产生大幅阱间运动;通过合理的调节磁铁间距可提高系统的俘能效果。阱间运动的输出功率和最优负载阻抗随着压电常数的增大而增大,随着介电常数的增大而减小;优化系统参数可提高工作频率范围和输出功率。

Based on the Euler-Bernoulli beam assumptions,the distributed parameter electromechanical coupling equation of tristable piezoelectric cantilever beam energy harvesting system is established by the generalized Hamilton variational principle,and the analytical solution of the equation is obtained through the multi-scale analysis. This investigation focuses on the effects of parameters including starting position and materials on the system dynamic response. The results show that the system can enter the high-energy orbit more easily and produce large interwell motion with a suitable starting position;the energy harvesting efficiency of the system can be improved with reasonable magnet spacing. The output power and the optimal load impedance of the interwell motion increase along with the increase of piezoelectric constant and decrease along with the increase of dielectric constant;the optimization of system parameters can improve the operating frequency range and output power.