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

dc.contributor.authorEl Aroudi, Abdelali
dc.contributor.authorOuakad, Hassen M.
dc.contributor.authorBenadero, Luis
dc.contributor.authorYounis, Mohammad I.
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.contributor.institutionDepartment of Electronics, Electrical Engineering and Automatic Control, Universitat Rovira i Virgili URV, Tarragona, Spain
dc.contributor.institutionMechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, P. O. Box 31261, Saudi Arabia
dc.contributor.institutionDepartament de Física Aplicada, Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
dc.date.accessioned2015-08-03T11:53:52Z
dc.date.available2015-08-03T11:53:52Z
dc.date.issued2014-05-28
dc.date.published-online2014-05-28
dc.date.published-print2014-05
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.
dc.identifier.citationEl Aroudi, A., Ouakad, H., Benadero, L., & Younis, M. (2014). Analysis of Bifurcation Behavior of a Piecewise Linear Vibrator with Electromagnetic Coupling for Energy Harvesting Applications. International Journal of Bifurcation and Chaos, 24(05), 1450066. doi:10.1142/s0218127414500667
dc.identifier.doi10.1142/S0218127414500667
dc.identifier.issn02181274
dc.identifier.journalInternational Journal of Bifurcation and Chaos
dc.identifier.urihttp://hdl.handle.net/10754/563535
dc.publisherWorld Scientific Pub Co Pte Lt
dc.subjectBifurcations
dc.subjectFilippov method
dc.subjectFinite difference method
dc.subjectFloquet theory
dc.subjectNonlinear energy harvester
dc.subjectPoincaré map
dc.subjectStability analysis
dc.titleAnalysis of bifurcation behavior of a piecewise linear vibrator with electromagnetic coupling for energy harvesting applications
dc.typeArticle
display.details.left<span><h5>Type</h5>Article<br><br><h5>Authors</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=El Aroudi, Abdelali,equals">El Aroudi, Abdelali</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Ouakad, Hassen M.,equals">Ouakad, Hassen M.</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.author=Benadero, Luis,equals">Benadero, Luis</a><br><a href="https://repository.kaust.edu.sa/search?query=orcid.id:0000-0002-9491-1838&spc.sf=dc.date.issued&spc.sd=DESC">Younis, Mohammad I.</a> <a href="https://orcid.org/0000-0002-9491-1838" target="_blank"><img src="https://repository.kaust.edu.sa/server/api/core/bitstreams/82a625b4-ed4b-40c8-865a-d6a5225a26a4/content" width="16" height="16"/></a><br><br><h5>KAUST Department</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Mechanical Engineering Program,equals">Mechanical Engineering Program</a><br><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.department=Physical Science and Engineering (PSE) Division,equals">Physical Science and Engineering (PSE) Division</a><br><br><h5>Online Publication Date</h5>2014-05-28<br><br><h5>Print Publication Date</h5>2014-05<br><br><h5>Date</h5>2014-05-28</span>
display.details.right<span><h5>Abstract</h5>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.<br><br><h5>Citation</h5>El Aroudi, A., Ouakad, H., Benadero, L., & Younis, M. (2014). Analysis of Bifurcation Behavior of a Piecewise Linear Vibrator with Electromagnetic Coupling for Energy Harvesting Applications. International Journal of Bifurcation and Chaos, 24(05), 1450066. doi:10.1142/s0218127414500667<br><br><h5>Publisher</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.publisher=World Scientific Pub Co Pte Lt,equals">World Scientific Pub Co Pte Lt</a><br><br><h5>Journal</h5><a href="https://repository.kaust.edu.sa/search?spc.sf=dc.date.issued&spc.sd=DESC&f.journal=International Journal of Bifurcation and Chaos,equals">International Journal of Bifurcation and Chaos</a><br><br><h5>DOI</h5><a href="https://doi.org/10.1142/S0218127414500667">10.1142/S0218127414500667</a></span>
kaust.personYounis, Mohammad I.
orcid.authorEl Aroudi, Abdelali
orcid.authorOuakad, Hassen M.
orcid.authorBenadero, Luis
orcid.authorYounis, Mohammad I.::0000-0002-9491-1838
orcid.id0000-0002-9491-1838
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