Articles producció científica> Enginyeria Electrònica, Elèctrica i Automàtica

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

  • Identification data

    Identifier: imarina:9285412
    Authors:
    El Aroudi, AOuakad, HBenadero, LYounis, M
    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.
  • Others:

    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
  • Keywords:

    Applied Mathematics,Engineering (Miscellaneous),Mathematics, Applied,Mathematics, Interdisciplinary Applications,Modeling and Simulation,Multidisciplinary,Multidisciplinary Sciences
    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)
    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
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