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...
Main Authors: | , , |
---|---|
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 |
_version_ | 1828751604570914816 |
---|---|
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. |
first_indexed | 2024-12-10T20:55:52Z |
format | Article |
id | doaj.art-5b71825bc53044c8aface9d03b2fb726 |
institution | Directory Open Access Journal |
issn | 2383-4536 |
language | English |
last_indexed | 2024-12-10T20:55:52Z |
publishDate | 2021-10-01 |
publisher | Shahid Chamran University of Ahvaz |
record_format | Article |
series | Journal of Applied and Computational Mechanics |
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 |
work_keys_str_mv | AT zahratadibeni sizedependentnonlinearforcedvibrationanalysisofviscoelasticpiezoelectricnanobeam AT sahosseiniravandi sizedependentnonlinearforcedvibrationanalysisofviscoelasticpiezoelectricnanobeam AT yaghoubtadibeni sizedependentnonlinearforcedvibrationanalysisofviscoelasticpiezoelectricnanobeam |