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Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory

Hassen M. Ouakad, Sami El-Borgi, S. Mahmoud Mousavi, Michael Friswell

Applied Mathematical Modelling, Volume: 62, Pages: 207 - 222

Swansea University Author: Michael Friswell

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DOI (Published version): 10.1016/j.apm.2018.05.034

Abstract

This paper examines the length-scale effect on the nonlinear response of an electrically actuated Carbon Nanotube (CNT) based nano-actuator using a nonlocal strain and velocity gradient (NSVG) theory. The nano-actuator is modeled within the framework of a doubly-clamped Euler - Bernoulli beam which...

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Published in: Applied Mathematical Modelling
ISSN: 0307904X
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa40442
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first_indexed 2018-05-29T13:13:02Z
last_indexed 2018-08-07T12:53:47Z
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spelling 2018-08-07T09:27:36.6071558 v2 40442 2018-05-29 Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2018-05-29 FGSEN This paper examines the length-scale effect on the nonlinear response of an electrically actuated Carbon Nanotube (CNT) based nano-actuator using a nonlocal strain and velocity gradient (NSVG) theory. The nano-actuator is modeled within the framework of a doubly-clamped Euler - Bernoulli beam which accounts for the nonlinear von-Karman strain and the electric actuating forcing. The NSVG theory includes three length-scale parameters which describe two completely different size-dependent phenomena, namely, the inter-atomic long-range force and the nano-structure deformation mechanisms. Hamilton’s principle is employed to obtain the equation of motion of the nonlinear nanobeam in addition to its respective classical and non-classical boundary conditions. The differential quadrature method (DQM) is used to discretize the governing equations. The key aim of this research is to numerically investigate the influence of the nonlocal parameter and the strain and velocity gradient parameters on the nonlinear structural behavior of the carbon nanotube based nanobeam. It is found that these three length-scale parameters can largely impact the performance of the CNT based nano-actuator and qualitatively alter its resultant response. The main goal of this investigation is to understand the highly nonlinear response of these miniature structures to improve their overall performance. Journal Article Applied Mathematical Modelling 62 207 222 0307904X Carbon Nanotube (CNT) Euler-Bernoulli nanobeam; Nonlocal strain and velocity gradient theory; Material length scales; Differential Quadrature Method (DQM); Static and eigenvalue problem 31 12 2018 2018-12-31 10.1016/j.apm.2018.05.034 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2018-08-07T09:27:36.6071558 2018-05-29T09:34:07.9140191 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Hassen M. Ouakad 1 Sami El-Borgi 2 S. Mahmoud Mousavi 3 Michael Friswell 4 0040442-29052018094257.pdf ouakad2018.pdf 2018-05-29T09:42:57.8200000 Output 801091 application/pdf Accepted Manuscript true 2019-05-26T00:00:00.0000000 true eng
title Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
spellingShingle Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
Michael Friswell
title_short Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
title_full Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
title_fullStr Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
title_full_unstemmed Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
title_sort Static and dynamic response of CNT nanobeam using nonlocal strain and velocity gradient theory
author_id_str_mv 5894777b8f9c6e64bde3568d68078d40
author_id_fullname_str_mv 5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Michael Friswell
author2 Hassen M. Ouakad
Sami El-Borgi
S. Mahmoud Mousavi
Michael Friswell
format Journal article
container_title Applied Mathematical Modelling
container_volume 62
container_start_page 207
publishDate 2018
institution Swansea University
issn 0307904X
doi_str_mv 10.1016/j.apm.2018.05.034
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description This paper examines the length-scale effect on the nonlinear response of an electrically actuated Carbon Nanotube (CNT) based nano-actuator using a nonlocal strain and velocity gradient (NSVG) theory. The nano-actuator is modeled within the framework of a doubly-clamped Euler - Bernoulli beam which accounts for the nonlinear von-Karman strain and the electric actuating forcing. The NSVG theory includes three length-scale parameters which describe two completely different size-dependent phenomena, namely, the inter-atomic long-range force and the nano-structure deformation mechanisms. Hamilton’s principle is employed to obtain the equation of motion of the nonlinear nanobeam in addition to its respective classical and non-classical boundary conditions. The differential quadrature method (DQM) is used to discretize the governing equations. The key aim of this research is to numerically investigate the influence of the nonlocal parameter and the strain and velocity gradient parameters on the nonlinear structural behavior of the carbon nanotube based nanobeam. It is found that these three length-scale parameters can largely impact the performance of the CNT based nano-actuator and qualitatively alter its resultant response. The main goal of this investigation is to understand the highly nonlinear response of these miniature structures to improve their overall performance.
published_date 2018-12-31T03:51:31Z
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score 11.012678

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