Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model

Abstract The present study investigates nonlinear forced vibration of dielectric elastomer-based micro-beam. The nonlinear terms in beam equation are geometric and material one. Geometric nonlinearity is considered by von-Karman strain displacement relationship and the material nonlinearity is model...

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Main Authors: Ardeshir Karami Mohammadi, Saeed Danaee Barforooshi
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000400643&lng=en&tlng=en
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author Ardeshir Karami Mohammadi
Saeed Danaee Barforooshi
author_facet Ardeshir Karami Mohammadi
Saeed Danaee Barforooshi
author_sort Ardeshir Karami Mohammadi
collection DOAJ
description Abstract The present study investigates nonlinear forced vibration of dielectric elastomer-based micro-beam. The nonlinear terms in beam equation are geometric and material one. Geometric nonlinearity is considered by von-Karman strain displacement relationship and the material nonlinearity is modeled with Yeoh hyper-elastic model. Galerkin and Multiple scale methods solve the governing equation. This solution that includes primary resonance, leads to frequency response, so that we depict influence of detuning parameter on amplitude in variation of different parameters.
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spelling doaj.art-2b8e43df97294d61a37a8d933dd0be002022-12-22T01:46:51ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782514464365610.1590/1679-78253324S1679-78252017000400643Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic ModelArdeshir Karami MohammadiSaeed Danaee BarforooshiAbstract The present study investigates nonlinear forced vibration of dielectric elastomer-based micro-beam. The nonlinear terms in beam equation are geometric and material one. Geometric nonlinearity is considered by von-Karman strain displacement relationship and the material nonlinearity is modeled with Yeoh hyper-elastic model. Galerkin and Multiple scale methods solve the governing equation. This solution that includes primary resonance, leads to frequency response, so that we depict influence of detuning parameter on amplitude in variation of different parameters.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000400643&lng=en&tlng=enHyper-elasticYeohMicro-beamEuler-BernoulliPrimary resonance
spellingShingle Ardeshir Karami Mohammadi
Saeed Danaee Barforooshi
Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model
Latin American Journal of Solids and Structures
Hyper-elastic
Yeoh
Micro-beam
Euler-Bernoulli
Primary resonance
title Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model
title_full Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model
title_fullStr Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model
title_full_unstemmed Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model
title_short Nonlinear Forced Vibration Analysis of Dielectric-Elastomer Based Micro-Beam with Considering Yeoh Hyper-Elastic Model
title_sort nonlinear forced vibration analysis of dielectric elastomer based micro beam with considering yeoh hyper elastic model
topic Hyper-elastic
Yeoh
Micro-beam
Euler-Bernoulli
Primary resonance
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000400643&lng=en&tlng=en
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AT saeeddanaeebarforooshi nonlinearforcedvibrationanalysisofdielectricelastomerbasedmicrobeamwithconsideringyeohhyperelasticmodel