Recurrence Plot and Recurrence Quantification of the Dynamic Properties of Cross-Shaped Laminated Energy Harvester

Abstract

The paper examines the dynamic properties of bistable cross-shaped laminate plates for broadband energy harvesting applications by converting mechanical vibration energy into the electrical power output. Bistable laminates plates coupled to piezoelectric transducers were excited by application of harmonic excitations and exhibited a range of vibration patterns. The vibration patterns included single-well oscillations and snap-through vibrations of both periodic and chaotic character; such vibration patterns led to a different power output. Classical spectral analysis of measured voltage, displacement and velocity time histories indicated the presence of a variety of nonlinear and chaotic phenomena. As a result, an analysis of the measured displacement and voltage time histories was carried out with the use of the Recurrence Plots and the Recurrence Quantification Analysis methods. The Recurrence Plots method was used for detection of qualitative changes in the dynamic behaviour of the non-linear harvesting system. In order to facilitate interpretation of piezoelectric voltage and laminate displacement, a detailed analysis using Recurrence Plots, Recurrence Quantification Analysis was employed.

Nonlinear Characterization of a Bistable Energy Harvester Dynamical System

“…2, may present better power recovering performances, when compared to the linear counterparts. The richness of such devices dynamics, combined with the new available improvements in numerical simulation tools and computing resources, have been propelling a wide variety of analysis considering different devices layouts, as seen in [10,18,34,39] for composite and cantilever vibrating beams, or in [11,15,25,26] for inverse pendulum layouts and new designs as those discussed in [5,8,16,33,45].…”

Recurrence analysis of regular and chaotic motions of a superelastic shape memory oscillator

“…The method of the Recurrence Plot (RP), introduced by Eckmann et al [17], was generalization on all the states along the trajectory [14,24]. RP is based on identification of the same states in the phase space of the dynamical system.…”

“…This approach includes Recurrence Plots (RP) and Recurrence Quantification Analysis (RQA) that have been of interest to characterize the nonlinear dynamics of many dynamical systems [14], including solutions and bifurcation identification in mechanical systems [15,16] and smart material structures [17]. In this method, the periodicity of the underlying dynamics can be investigated by means of recurrences that are calculated for each point of the reconstructed trajectory.…”

Output response identification in a multistable system for piezoelectric energy harvesting

“…In this case the M8528-P2 device is polarized through thickness by continuous upper and lower electrodes composed of fine copper mesh. Compared to an IDE based device such a configuration has (i) an uniform electric field distribution through the ferroelectric material (ii) a high device capacitance (C), leading to low peak voltages (V ) as a result of the piezoelectric charge (Q = CV ) and (iii) a low electrical impedance (iωC) due to the high device capacitance [24].…”

“…By changing this gap, the characteristics of the harvester, such as the natural frequency, bandwidth, and peak power can be affected. Previous effort [23][24][25] has examined the highly energetic cross-well dynamics of bistable plates and cantilever systems, and in this paper the doubly bistable system is experimentally characterised and the response is examined in detail by a variety of signal processing methods. The experimental results such as mechanical resonator velocity, displacement as well as voltage output of the system are studied using wavelets and multiscale entropy in order to better understand the dynamics of this complicated system.…”