Author, as appears in the article.: El Aroudi, A; Ouakad, H; Benadero, L; Younis, M
Department: Enginyeria Electrònica, Elèctrica i Automàtica
URV's Author/s: El Aroudi Chaoui, Abdelali
Keywords: Time domain analysis Stability analysis Space flight Poincare map Poincare Piecewise linear techniques Nonlinear energy harvester Linear systems Frequency response Frequency domain analysis Floquet theory Finite difference method Filippov method Filippov Excited states Energy harvesting Energy harvester Electromagnetic coupling Differential equations Degrees of freedom (mechanics) Continuous time systems Computation theory Bifurcations Bifurcation (mathematics)
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.
Thematic Areas: Multidisciplinary sciences Multidisciplinary Modeling and simulation Mathematics, interdisciplinary applications Mathematics, applied Matemática / probabilidade e estatística Interdisciplinar Geociências General engineering Ensino Engineering (miscellaneous) Engenharias iv Engenharias iii Engenharias i Economia Ciências biológicas i Ciências agrárias i Ciência da computação Biodiversidade Astronomia / física Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: abdelali.elaroudi@urv.cat
Author identifier: 0000-0001-9103-7762
Record's date: 2024-10-12
Papper version: info:eu-repo/semantics/submittedVersion
Link to the original source: https://www.worldscientific.com/doi/10.1142/S0218127414500667
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: International Journal Of Bifurcation And Chaos. 24 (5): 1450066-
APA: 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(5), 1450066-. DOI: 10.1142/S0218127414500667
Article's DOI: 10.1142/S0218127414500667
Entity: Universitat Rovira i Virgili
Journal publication year: 2014
Publication Type: Journal Publications