Analysis of bifurcation behavior of a piecewise linear vibrator with electromagnetic coupling for energy harvesting applications

Handle URI:
http://hdl.handle.net/10754/563535
Title:
Analysis of bifurcation behavior of a piecewise linear vibrator with electromagnetic coupling for energy harvesting applications
Authors:
El Aroudi, Abdelali; Ouakad, Hassen M.; Benadero, Luis; Younis, Mohammad I. ( 0000-0002-9491-1838 )
Abstract:
Recently, nonlinearities have been shown to play an important role in increasing the extracted energy of vibration-based energy harvesting systems. In this paper, we study the dynamical behavior of a piecewise linear (PWL) spring-mass-damper system for vibration-based energy harvesting applications. First, we present a continuous time single degree of freedom PWL dynamical model of the system. Different configurations of the PWL model and their corresponding state-space regions are derived. Then, from this PWL model, extensive numerical simulations are carried out by computing time-domain waveforms, state-space trajectories and frequency responses under a deterministic harmonic excitation for different sets of system parameter values. Stability analysis is performed using Floquet theory combined with Filippov method, Poincaré map modeling and finite difference method (FDM). The Floquet multipliers are calculated using these three approaches and a good concordance is obtained among them. The performance of the system in terms of the harvested energy is studied by considering both purely harmonic excitation and a noisy vibrational source. A frequency-domain analysis shows that the harvested energy could be larger at low frequencies as compared to an equivalent linear system, in particular, for relatively low excitation intensities. This could be an advantage for potential use of this system in low frequency ambient vibrational-based energy harvesting applications. © 2014 World Scientific Publishing Company.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program
Publisher:
World Scientific Pub Co Pte Lt
Journal:
International Journal of Bifurcation and Chaos
Issue Date:
May-2014
DOI:
10.1142/S0218127414500667
Type:
Article
ISSN:
02181274
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorEl Aroudi, Abdelalien
dc.contributor.authorOuakad, Hassen M.en
dc.contributor.authorBenadero, Luisen
dc.contributor.authorYounis, Mohammad I.en
dc.date.accessioned2015-08-03T11:53:52Zen
dc.date.available2015-08-03T11:53:52Zen
dc.date.issued2014-05en
dc.identifier.issn02181274en
dc.identifier.doi10.1142/S0218127414500667en
dc.identifier.urihttp://hdl.handle.net/10754/563535en
dc.description.abstractRecently, nonlinearities have been shown to play an important role in increasing the extracted energy of vibration-based energy harvesting systems. In this paper, we study the dynamical behavior of a piecewise linear (PWL) spring-mass-damper system for vibration-based energy harvesting applications. First, we present a continuous time single degree of freedom PWL dynamical model of the system. Different configurations of the PWL model and their corresponding state-space regions are derived. Then, from this PWL model, extensive numerical simulations are carried out by computing time-domain waveforms, state-space trajectories and frequency responses under a deterministic harmonic excitation for different sets of system parameter values. Stability analysis is performed using Floquet theory combined with Filippov method, Poincaré map modeling and finite difference method (FDM). The Floquet multipliers are calculated using these three approaches and a good concordance is obtained among them. The performance of the system in terms of the harvested energy is studied by considering both purely harmonic excitation and a noisy vibrational source. A frequency-domain analysis shows that the harvested energy could be larger at low frequencies as compared to an equivalent linear system, in particular, for relatively low excitation intensities. This could be an advantage for potential use of this system in low frequency ambient vibrational-based energy harvesting applications. © 2014 World Scientific Publishing Company.en
dc.publisherWorld Scientific Pub Co Pte Lten
dc.subjectBifurcationsen
dc.subjectFilippov methoden
dc.subjectFinite difference methoden
dc.subjectFloquet theoryen
dc.subjectNonlinear energy harvesteren
dc.subjectPoincaré mapen
dc.subjectStability analysisen
dc.titleAnalysis of bifurcation behavior of a piecewise linear vibrator with electromagnetic coupling for energy harvesting applicationsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.identifier.journalInternational Journal of Bifurcation and Chaosen
dc.contributor.institutionDepartment of Electronics, Electrical Engineering and Automatic Control, Universitat Rovira i Virgili URV, Tarragona, Spainen
dc.contributor.institutionMechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, P. O. Box 31261, Saudi Arabiaen
dc.contributor.institutionDepartament de Física Aplicada, Universitat Politècnica de Catalunya (UPC), Barcelona, Spainen
kaust.authorYounis, Mohammad I.en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.