Abstract
In this paper, the frequency broadband effect in vibration energy harvesting was studied numerically using a quasi-zero stiffness resonator with two potential wells and piezoelectric transducers. Corresponding solutions were investigated for system excitation harmonics at various frequencies. Solutions for the higher voltage output were collected in specific branches of the power output diagram. Both the resonant solution synchronized with excitation and the frequency responses of the subharmonic spectra were found. The selected cases were illustrated and classified using a phase portrait, a Poincaré section, and recurrence plot (RP) approaches. Select recurrence quantification analysis (RQA) measures were used to characterize the discussed solutions.
Highlights
The area of piezoelectric energy harvesting from sources of vibration has experienced intensive development in the recent years [1]
Alongside the graphical recurrence plot (RP) representation [21], we propose an identification schema using recurrence quantification analysis (RQA)
For the purpose of simplicity and to discuss various types of potentially coexisting solutions, the nodal initial condition was assumed for the voltage and minimal for the displacement of the tip point of the cantilever (x0 = 1, see Figure 1b), while tip point velocity was changed randomly in the interval [−1.5, 1.5] to test the various levels of kinetic energy
Summary
The area of piezoelectric energy harvesting from sources of vibration has experienced intensive development in the recent years [1]. The main disadvantage rests in the fact that the optimal solution (leading to higher output) may not be the most probable one Such nonlinear energy-harvesting systems can be modelled by various interactions including impacts and magnetic or pre-stressed mechanical systems with multiple stable equilibria [10,11,12,13,14,15]. Non-resonant solutions around the stable equilibria, the resonator system can reach a higher response level for a number of resonance frequencies and overcome the potential barriers of having a larger orbit. Such orbits can appear for different frequencies including those belonging to subharmonic solutions [16,17,18,19,20]. Alongside the graphical recurrence plot (RP) representation [21], we propose an identification schema using recurrence quantification analysis (RQA)
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