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Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat

Ilgar Jafarsadeghi-Pournaki, Saber Azizi, Mohammadreza Zamanzadeh, Hadi Madinei Orcid Logo, Rasoul Shabani, Ghader Rezazadeh

Applied Mathematical Modelling, Volume: 86, Pages: 349 - 367

Swansea University Author: Hadi Madinei Orcid Logo

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DOI (Published version): 10.1016/j.apm.2020.05.011

Abstract

This study explores heat-induced nonlinear vibration of a functionally graded (FG) capacitive nanobeam within the framework of nonlocal strain gradient theory (NLSGT). The elastic FG beam, which is firstly deflected by a DC voltage, is driven to vibrate about its deflected position by a periodic hea...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55162
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spelling 2020-10-28T14:06:06.7015638 v2 55162 2020-09-10 Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat d9a10856ae9e6a71793eab2365cff8b6 0000-0002-3401-1467 Hadi Madinei Hadi Madinei true false 2020-09-10 AERO This study explores heat-induced nonlinear vibration of a functionally graded (FG) capacitive nanobeam within the framework of nonlocal strain gradient theory (NLSGT). The elastic FG beam, which is firstly deflected by a DC voltage, is driven to vibrate about its deflected position by a periodic heat load. The nano-structure, which consists of a clamped-clamped nanobeam, is modeled assuming Euler–Bernoulli beam assumption which accounts for the nonlinear von-Karman strain and the electrostatic and intermolecular forcing. To simulate the static and dynamic responses, a model reduction procedure is carried out by employing the Galerkin method. The method of Averaging as a regular semi-analytic perturbation method is applied to obtain governing equations of the steady-state responses. With the purpose of establishing the validity of the solution, a Shooting technique in conjunction with the Floquet theory is used to capture the periodic motions and then examine their stability. The nonlinear resonance frequency of the FG nanobeam near its fundamental natural frequency (primary resonance) and near principal parametric resonance is investigated while the emphasis is placed on studying the effect of various parameters including DC voltage, amplitude of the periodic heat source, material index, damping ratio, and small scale parameters. The main objective of this study is to model a miniature structure which can be used as either a sensitive remote temperature sensor or a high-efficiency thermal energy harvester. Journal Article Applied Mathematical Modelling 86 349 367 Elsevier BV 0307-904X Nonlinear dynamics, Primary resonance, Principal parametric resonance, NEMS, Nonlocal strain gradient theory 1 10 2020 2020-10-01 10.1016/j.apm.2020.05.011 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2020-10-28T14:06:06.7015638 2020-09-10T16:26:25.3651661 Professional Services ISS - Uncategorised Ilgar Jafarsadeghi-Pournaki 1 Saber Azizi 2 Mohammadreza Zamanzadeh 3 Hadi Madinei 0000-0002-3401-1467 4 Rasoul Shabani 5 Ghader Rezazadeh 6
title Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat
spellingShingle Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat
Hadi Madinei
title_short Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat
title_full Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat
title_fullStr Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat
title_full_unstemmed Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat
title_sort Size-dependent dynamics of a FG Nanobeam near nonlinear resonances induced by heat
author_id_str_mv d9a10856ae9e6a71793eab2365cff8b6
author_id_fullname_str_mv d9a10856ae9e6a71793eab2365cff8b6_***_Hadi Madinei
author Hadi Madinei
author2 Ilgar Jafarsadeghi-Pournaki
Saber Azizi
Mohammadreza Zamanzadeh
Hadi Madinei
Rasoul Shabani
Ghader Rezazadeh
format Journal article
container_title Applied Mathematical Modelling
container_volume 86
container_start_page 349
publishDate 2020
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2020.05.011
publisher Elsevier BV
college_str Professional Services
hierarchytype
hierarchy_top_id professionalservices
hierarchy_top_title Professional Services
hierarchy_parent_id professionalservices
hierarchy_parent_title Professional Services
department_str ISS - Uncategorised{{{_:::_}}}Professional Services{{{_:::_}}}ISS - Uncategorised
document_store_str 0
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description This study explores heat-induced nonlinear vibration of a functionally graded (FG) capacitive nanobeam within the framework of nonlocal strain gradient theory (NLSGT). The elastic FG beam, which is firstly deflected by a DC voltage, is driven to vibrate about its deflected position by a periodic heat load. The nano-structure, which consists of a clamped-clamped nanobeam, is modeled assuming Euler–Bernoulli beam assumption which accounts for the nonlinear von-Karman strain and the electrostatic and intermolecular forcing. To simulate the static and dynamic responses, a model reduction procedure is carried out by employing the Galerkin method. The method of Averaging as a regular semi-analytic perturbation method is applied to obtain governing equations of the steady-state responses. With the purpose of establishing the validity of the solution, a Shooting technique in conjunction with the Floquet theory is used to capture the periodic motions and then examine their stability. The nonlinear resonance frequency of the FG nanobeam near its fundamental natural frequency (primary resonance) and near principal parametric resonance is investigated while the emphasis is placed on studying the effect of various parameters including DC voltage, amplitude of the periodic heat source, material index, damping ratio, and small scale parameters. The main objective of this study is to model a miniature structure which can be used as either a sensitive remote temperature sensor or a high-efficiency thermal energy harvester.
published_date 2020-10-01T04:09:11Z
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score 11.013148

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