Abstract
In order to make a piezoelectric vibration energy harvester collect more energy on a broader frequency range, nonlinearity is introduced into the system, allowing the harvester to produce multiple steady states and deflecting the frequency response curve. However, the harvester can easily maintain intra-well motion rather than inter-well motion, which seriously affects its efficiency. The aim of this paper is to analyze how to take full advantage of the nonlinear characteristics to widen the bandwidth of the piezoelectric vibration energy harvester and obtain more energy. The influence of the inter-permanent magnet torque on the bending of the piezoelectric cantilever beam is considered in the theoretical modeling. The approximate analytical solutions of the primary and 1/3 subharmonic resonance of the harvester are obtained by using the complex dynamic frequency (CDF) method so as to compare the energy acquisition effect of the primary resonance and subharmonic resonance, determine the generation conditions of subharmonic resonance, and analyze the effect of primary resonance and subharmonic resonance on broadening the bandwidth of the harvester under different external excitations. The results show that the torque significantly affects the equilibrium point and piezoelectric output of the harvester. The effective frequency band of the bistable nonlinear energy harvester is 270% wider than that of the linear harvester, and the 1/3 subharmonic resonance broadens the band another 92% so that the energy harvester can obtain more than 0.1 mW in the frequency range of 18 Hz. Therefore, it is necessary to consider the influence of torque when modeling. The introduction of nonlinearity can broaden the frequency band of the harvester when it is in primary resonance, and the subharmonic resonance can make the harvester obtain more energy in the global frequency range.
Highlights
Propose a triple steady-state piezoelectric vibration energy harvester, which consists of a piezoelectric cantilever beam with a permanent magnet at the tip and two external permanent magnets
Influence nonlinear on the ba the model, considered the the influence of torque of on the bending of characteristics the cantilever beam when modeling with the Hamiltonian principle, and compared it with the situation piezoelectric vibration energy harvester is studied using thewithout
It is found that torque greatly influences the equilibrium point modified the model, considered the influence of torque on the bending o and piezoelectric output of the harvester
Summary
The battery is a traditional energy storage device. Many devices (such as intelligent home equipment, implantable medical equipment, environmental monitors) rely on batteries for energy supply. Propose a triple steady-state piezoelectric vibration energy harvester, which consists of a piezoelectric cantilever beam with a permanent magnet at the tip and two external permanent magnets. The asymmetric U-shaped structure gives the model multi-mode properties, while the nonlinearity introduced by magnetic force improves the energy output of the harvester, reduces the resonant frequency, and broadens the effective bandwidth. In order to solve this problem, Wang et al [18] proposed a single-degree-of-freedom complex dynamic frequency (CDF) method, applied it to the study of strongly nonlinear vibration energy harvester, and experimentally verified the method’s effectiveness.
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