Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam

In this paper, the nonlinear forced vibration of isotropic viscoelastic/ piezoelectric Euler-Bernoulli nano-beam is investigated. For this purpose, the consistent couple stress theory is utilized for modeling the viscoelastic/piezoelectric nano-beam. Hamilton’s principle is also employed to obtain t...

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Main Authors: Zahra Tadi Beni, S.A. Hosseini Ravandi, Yaghoub Tadi Beni
Format: Article
Language:English
Published: Shahid Chamran University of Ahvaz 2021-10-01
Series:Journal of Applied and Computational Mechanics
Subjects:
Online Access:https://jacm.scu.ac.ir/article_15269_1a66de3534c07dc87ace37a2369c5709.pdf
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author Zahra Tadi Beni
S.A. Hosseini Ravandi
Yaghoub Tadi Beni
author_facet Zahra Tadi Beni
S.A. Hosseini Ravandi
Yaghoub Tadi Beni
author_sort Zahra Tadi Beni
collection DOAJ
description In this paper, the nonlinear forced vibration of isotropic viscoelastic/ piezoelectric Euler-Bernoulli nano-beam is investigated. For this purpose, the consistent couple stress theory is utilized for modeling the viscoelastic/piezoelectric nano-beam. Hamilton’s principle is also employed to obtain the governing equations of motion. Further, the Galerkin method is used in order to convert the governing partial differential equations to a nonlinear second-order ordinary differential one, and then multiple scale method is used to solve motion equation.
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spelling doaj.art-5b71825bc53044c8aface9d03b2fb7262022-12-22T01:33:58ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362021-10-01741878189110.22055/jacm.2020.32044.195815269Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beamZahra Tadi Beni0S.A. Hosseini Ravandi1Yaghoub Tadi Beni2Department of Textile Engineering, Isfahan University of Technology, Isfahan, 8415683111, IranDepartment of Textile Engineering, Isfahan University of Technology, Isfahan, 8415683111, IranDepartment of Mechanical Engineering, Faculty of Engineering, Shahrekourd University, Shahrekourd, IranIn this paper, the nonlinear forced vibration of isotropic viscoelastic/ piezoelectric Euler-Bernoulli nano-beam is investigated. For this purpose, the consistent couple stress theory is utilized for modeling the viscoelastic/piezoelectric nano-beam. Hamilton’s principle is also employed to obtain the governing equations of motion. Further, the Galerkin method is used in order to convert the governing partial differential equations to a nonlinear second-order ordinary differential one, and then multiple scale method is used to solve motion equation.https://jacm.scu.ac.ir/article_15269_1a66de3534c07dc87ace37a2369c5709.pdfnonlinear forced vibrationpiezoelectricviscoelasticconsistent couple stress theorymultiple scale method
spellingShingle Zahra Tadi Beni
S.A. Hosseini Ravandi
Yaghoub Tadi Beni
Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam
Journal of Applied and Computational Mechanics
nonlinear forced vibration
piezoelectric
viscoelastic
consistent couple stress theory
multiple scale method
title Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam
title_full Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam
title_fullStr Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam
title_full_unstemmed Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam
title_short Size-dependent Nonlinear Forced Vibration Analysis of Viscoelastic/Piezoelectric Nano-beam
title_sort size dependent nonlinear forced vibration analysis of viscoelastic piezoelectric nano beam
topic nonlinear forced vibration
piezoelectric
viscoelastic
consistent couple stress theory
multiple scale method
url https://jacm.scu.ac.ir/article_15269_1a66de3534c07dc87ace37a2369c5709.pdf
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AT yaghoubtadibeni sizedependentnonlinearforcedvibrationanalysisofviscoelasticpiezoelectricnanobeam