Local and network behavior of bistable vibrational energy harvesters considering periodic and quasiperiodic excitations
- 1 June 2021
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 31 (6), 063111
- https://doi.org/10.1063/5.0054459
Abstract
Vibrational energy harvesters can exhibit complex nonlinear behavior when exposed to external excitations. Depending on the number of stable equilibriums, the energy harvesters are defined and analyzed. In this work, we focus on the bistable energy harvester with two energy wells. Though there have been earlier discussions on such harvesters, all these works focus on periodic excitations. Hence, we are focusing our analysis on both periodic and quasiperiodic forced bistable energy harvesters. Various dynamical properties are explored, and the bifurcation plots of the periodically excited harvester show coexisting hidden attractors. To investigate the collective behavior of the harvesters, we mathematically constructed a two-dimensional lattice array of the harvesters. A non-local coupling is considered, and we could show the emergence of chimeras in the network. As discussed in the literature, energy harvesters are efficient if the chaotic regimes can be suppressed and hence we focus our discussion toward synchronizing the nodes in the network when they are not in their chaotic regimes. We could successfully define the conditions to achieve complete synchronization in both periodic and quasiperiodically excited harvesters.Keywords
Funding Information
- Center for Nonlinear Systems, Chennai Institute of Technology (CIT/CNS/2021/RP-017)
This publication has 37 references indexed in Scilit:
- Spatially Organized Dynamical States in Chemical Oscillator Networks: Synchronization, Dynamical Differentiation, and Chimera PatternsPLOS ONE, 2013
- Chimera states in mechanical oscillator networksProceedings of the National Academy of Sciences of the United States of America, 2013
- A comparison of power output from linear and nonlinear kinetic energy harvesters using real vibration dataSmart Materials and Structures, 2013
- Experimental observation of chimeras in coupled-map latticesNature Physics, 2012
- Chimera and phase-cluster states in populations of coupled chemical oscillatorsNature Physics, 2012
- Investigations of a nonlinear energy harvester with a bistable potential wellJournal of Sound and Vibration, 2010
- Tuning a resonant energy harvester using a generalized electrical loadSmart Materials and Structures, 2010
- Modeling of Piezoelectric Energy Harvesting from an L-shaped Beam-mass Structure with an Application to UAVsJournal of Intelligent Material Systems and Structures, 2008
- Review of Guided-wave Structural Health MonitoringThe Shock and Vibration Digest, 2007
- Chimera States for Coupled OscillatorsPhysical Review Letters, 2004