Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy Harvesting

In this paper, the model of a two-degree-of-freedom (2-DOF) spring resonator with end stopper for an energy harvesting application is presented. Then we characterize its nonlinear dynamical behavior by numerical simulations when some suitable parameters are varied. The system is formed by two resona...

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Main Authors: El Aroudi A., Blokhina E., O’Connell D., Fu B., Frizzell R., Feely O., Alarcon E.
Format: Article
Language:English
Published: EDP Sciences 2014-01-01
Series:MATEC Web of Conferences
Online Access:http://dx.doi.org/10.1051/matecconf/20141608006
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author El Aroudi A.
Blokhina E.
O’Connell D.
Fu B.
Frizzell R.
Feely O.
Alarcon E.
author_facet El Aroudi A.
Blokhina E.
O’Connell D.
Fu B.
Frizzell R.
Feely O.
Alarcon E.
author_sort El Aroudi A.
collection DOAJ
description In this paper, the model of a two-degree-of-freedom (2-DOF) spring resonator with end stopper for an energy harvesting application is presented. Then we characterize its nonlinear dynamical behavior by numerical simulations when some suitable parameters are varied. The system is formed by two resonators subject to external vibrational excitation and with an end stopper. We present the continuous time dynamical model of the system in the form of a switched fourth order differential equation. Harmonic vibrations are considered as the main ambient energy source for the system and its frequency response representing the RMS value of the displacement is first computed. The dynamical behavior is unveiled by computing state-space trajectories, timedomain series and FFT spectra and frequency response as the excitation amplitude is varied.
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spelling doaj.art-164cff1c7fe1434f87a80519bbe67e782022-12-21T20:21:56ZengEDP SciencesMATEC Web of Conferences2261-236X2014-01-01160800610.1051/matecconf/20141608006matecconf_csndd2014_08006Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy HarvestingEl Aroudi A.0Blokhina E.1O’Connell D.2Fu B.3Frizzell R.4Feely O.5Alarcon E.6Universitat Rovira i VirgiliUniversity College DublinUniversity College DublinUniversity College DublinAlcatel-Lucent, Bell LabsUniversity College DublinUniversitat Politècnica de CatalunyaIn this paper, the model of a two-degree-of-freedom (2-DOF) spring resonator with end stopper for an energy harvesting application is presented. Then we characterize its nonlinear dynamical behavior by numerical simulations when some suitable parameters are varied. The system is formed by two resonators subject to external vibrational excitation and with an end stopper. We present the continuous time dynamical model of the system in the form of a switched fourth order differential equation. Harmonic vibrations are considered as the main ambient energy source for the system and its frequency response representing the RMS value of the displacement is first computed. The dynamical behavior is unveiled by computing state-space trajectories, timedomain series and FFT spectra and frequency response as the excitation amplitude is varied.http://dx.doi.org/10.1051/matecconf/20141608006
spellingShingle El Aroudi A.
Blokhina E.
O’Connell D.
Fu B.
Frizzell R.
Feely O.
Alarcon E.
Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy Harvesting
MATEC Web of Conferences
title Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy Harvesting
title_full Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy Harvesting
title_fullStr Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy Harvesting
title_full_unstemmed Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy Harvesting
title_short Nonlinear Dynamics and Bifurcation Behavior of a 2-DOF Spring Resonator with End Stopper for Energy Harvesting
title_sort nonlinear dynamics and bifurcation behavior of a 2 dof spring resonator with end stopper for energy harvesting
url http://dx.doi.org/10.1051/matecconf/20141608006
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