Abstract
In order to improve vibration energy harvesting, this paper designs an arc-shaped piezoelectric bistable vibration energy harvester (ABEH). The bistable configuration is achieved by using magnetic coupling, and the nonlinear magnetic force is calculated. Based on Lagrangian equation, piezoelectric theory, Kirchhoff’s law, etc., a complete theoretical model of the presented ABEH is built. The influence of the nonlinear stiffness terms, the electromechanical coupling coefficient, the damping, the distance between magnets, and the load resistance on the dynamic response and the energy harvesting performance of the ABEH is numerically explored. More importantly, experiments are designed to verify the energy harvesting enhancement of the ABEH. Compared with the non-magnet energy harvester, the ABEH has much better energy harvesting performance.
Highlights
Nonlinear vibration energy harvesting techniques via various mechanisms have been widely researched because of their great application potential for powering wireless sensors and small portable devices [1,2,3,4,5,6]
To improve the precision of the theoretical model, this paper fully considers the magnetic nonlinearity and the structural nonlinearity of the arc-shaped piezoelectric bistable vibration energy harvester (ABEH) in the modeling process
Considering the axial deformation of the beam, the geometric relationship before and after deformation is shown in Figure 2 [53]. (, ) and (, ) are the vibration displacements of the piezoelectric beam along x axis and z axis, respectively
Summary
Nonlinear vibration energy harvesting techniques via various mechanisms have been widely researched because of their great application potential for powering wireless sensors and small portable devices [1,2,3,4,5,6]. In order to improve energy harvesting performance, many different kinds of linear resonance-based piezoelectric vibration energy harvesters were designed. Vocca et al [36] digitally simulated output power of the BEH to random vibrations from non-equilibrium thermal noise up to machine vibrations and the superior performance was obtained He and Daqaq [37] used statistical linearization, direct numerical integration of the stochastic differential equations, and the Fokker–Plank–Kolmogorov equation to reveal the influence mechanism of the potential energy function on mean output power of the BEH under white noise. The snap-through behavior induces high-energy interwell oscillation of the BEH, which greatly enhances the energy harvesting performance. This was experimentally verified by Erturk and Inman [40,41].
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