{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,10]],"date-time":"2026-05-10T04:32:40Z","timestamp":1778387560655,"version":"3.51.4"},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,5]]},"abstract":"<jats:p> 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, Poincar\u00e9 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. <\/jats:p>","DOI":"10.1142\/s0218127414500667","type":"journal-article","created":{"date-parts":[[2014,5,28]],"date-time":"2014-05-28T08:08:41Z","timestamp":1401264521000},"page":"1450066","source":"Crossref","is-referenced-by-count":13,"title":["Analysis of Bifurcation Behavior of a Piecewise Linear Vibrator with Electromagnetic Coupling for Energy Harvesting Applications"],"prefix":"10.1142","volume":"24","author":[{"given":"A.","family":"El Aroudi","sequence":"first","affiliation":[{"name":"Department of Electronics, Electrical Engineering and Automatic Control, Universitat Rovira i Virgili URV, Tarragona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"H.","family":"Ouakad","sequence":"additional","affiliation":[{"name":"Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, P. O. Box 31261, Kingdom of Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L.","family":"Benadero","sequence":"additional","affiliation":[{"name":"Departament de F\u00edsica Aplicada, Universitat Polit\u00e8cnica de Catalunya (UPC), Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.","family":"Younis","sequence":"additional","affiliation":[{"name":"Physical Sciences and Engineering Division, King Abdullah University of Science and Technology (KAUST), Kingdom of Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,5,28]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8928(58)90033-9"},{"key":"rf2","first-page":"1","volume":"20","author":"And\u00f2 A.","journal-title":"J. Micromech. Microengin."},{"key":"rf3","unstructured":"M.\u00a0Bendame and E.\u00a0Abdel-Rahman, MATEC Web of Conferences\u00a01 (2012)\u00a0p. 01004."},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-006-9190-1"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-7793-9"},{"key":"rf8","first-page":"164102-1","volume":"94","author":"Gammaitoni L.","journal-title":"Appl. Phys. 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