Litak Grzegorz, Margielewicz Jerzy, Gąska Damian, Rysak Andrzej, Trigona Carlo
Faculty of Mechanical Engineering, Lublin University of Technology, 20-618 Lublin, Poland.
Faculty of Transport and Aviation Engineering, Silesian University of Technology, 40-019 Katowice, Poland.
Sensors (Basel). 2022 Jan 5;22(1):381. doi: 10.3390/s22010381.
The piezoelectric energy-harvesting system with double-well characteristics and hysteresis in the restoring force is studied. The proposed system consists of a bistable oscillator based on a cantilever beam structure. The elastic force potential is modified by magnets. The hysteresis is an additional effect of the composite beam considered in this system, and it effects the modal solution with specific mass distribution. Consequently, the modal response is a compromise between two overlapping, competing shapes. The simulation results show evolution in the single potential well solution, and bifurcations into double-well solutions with the hysteretic effect. The maximal Lyapunov exponent indicated the appearance of chaotic solutions. Inclusion of the shape branch overlap parameter reduces the distance between the external potential barriers and leads to a large-amplitude solution and simultaneously higher voltage output with smaller excitation force. The overlap parameter works in the other direction: the larger the overlap value, the smaller the voltage output. Presumably, the successful jump though the potential barrier is accompanied by an additional switch between the corresponding shapes.
研究了具有双阱特性和恢复力滞后现象的压电能量收集系统。所提出的系统由基于悬臂梁结构的双稳态振荡器组成。弹性力势由磁体改变。滞后是该系统中复合梁的一种附加效应，它影响具有特定质量分布的模态解。因此，模态响应是两种重叠、相互竞争形状之间的折衷。仿真结果显示了单势阱解的演化，以及在滞后效应下向双势阱解的分岔。最大李雅普诺夫指数表明出现了混沌解。形状分支重叠参数的引入减小了外部势垒之间的距离，导致大振幅解，并同时在较小激励力下实现更高的电压输出。重叠参数的作用方向相反：重叠值越大，电压输出越小。据推测，成功跃过势垒伴随着相应形状之间的额外切换。
