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Vibrating nonlocal multi-nanoplate system under inplane magnetic field

Danilo Karličić, Milan Cajić, Sondipon Adhikari, Predrag Kozić, Tony Murmu

European Journal of Mechanics - A/Solids, Volume: 64, Pages: 29 - 45

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1016/j.euromechsol.2017.01.013

Abstract

The recent development in nanotechnology resulted in growing of various nanoplate like structures. High attention was devoted to graphene sheet nanostructure, which enforced the scientist to start developing various theoretical models to investigate its physical properties. Magnetic field effects on...

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Published in: European Journal of Mechanics - A/Solids
ISSN: 0997-7538
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa31831
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first_indexed 2017-01-31T20:47:54Z
last_indexed 2018-02-09T05:19:06Z
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spelling 2017-03-01T12:00:19.2285081 v2 31831 2017-01-31 Vibrating nonlocal multi-nanoplate system under inplane magnetic field 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2017-01-31 FGSEN The recent development in nanotechnology resulted in growing of various nanoplate like structures. High attention was devoted to graphene sheet nanostructure, which enforced the scientist to start developing various theoretical models to investigate its physical properties. Magnetic field effects on nanoplates, especially graphene sheets, have also attracted a considerable attention of the scientific community. Here, by using the nonlocal theory, we examine the influence of in-plane magnetic field on the viscoelastic orthotropic multi-nanoplate system (VOMNPS) embedded in a viscoelastic medium. We derive the system of m partial differential equations describing the free transverse vibration of VOMNPS under the uniaxial in-plane magnetic field using the Eringen's nonlocal elasticity and Kirchhoff's plate theory considering the viscoelastic and orthotropic material properties of nanoplates. Closed form solutions for complex natural frequencies are derived by applying the Navier's and trigonometric method for the case of simply supported nanoplates. The results obtained with analytical method are validated with the results obtained by using the numerical method. In addition, numerical examples are given to show the effects of nonlocal parameter, internal damping, damping and stiffness of viscoelastic medium, rotary inertia and uniaxial in-plane magnetic force on the real and the imaginary parts of complex natural frequencies of VOMNPS. This study can be useful as a starting point for the research and design of nanoelectromechanical devices based on graphene sheets. Journal Article European Journal of Mechanics - A/Solids 64 29 45 0997-7538 Nonlocal viscoelasticity; Orthotropic nanoplates; Magnetic field; Multi-layered graphene sheets 31 12 2017 2017-12-31 10.1016/j.euromechsol.2017.01.013 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2017-03-01T12:00:19.2285081 2017-01-31T14:07:55.1948403 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Danilo Karličić 1 Milan Cajić 2 Sondipon Adhikari 3 Predrag Kozić 4 Tony Murmu 5 0031831-31012017141039.pdf karlicic.pdf 2017-01-31T14:10:39.1370000 Output 2272382 application/pdf Accepted Manuscript true 2018-01-30T00:00:00.0000000 false
title Vibrating nonlocal multi-nanoplate system under inplane magnetic field
spellingShingle Vibrating nonlocal multi-nanoplate system under inplane magnetic field
Sondipon Adhikari
title_short Vibrating nonlocal multi-nanoplate system under inplane magnetic field
title_full Vibrating nonlocal multi-nanoplate system under inplane magnetic field
title_fullStr Vibrating nonlocal multi-nanoplate system under inplane magnetic field
title_full_unstemmed Vibrating nonlocal multi-nanoplate system under inplane magnetic field
title_sort Vibrating nonlocal multi-nanoplate system under inplane magnetic field
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 Danilo Karličić
Milan Cajić
Sondipon Adhikari
Predrag Kozić
Tony Murmu
format Journal article
container_title European Journal of Mechanics - A/Solids
container_volume 64
container_start_page 29
publishDate 2017
institution Swansea University
issn 0997-7538
doi_str_mv 10.1016/j.euromechsol.2017.01.013
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 The recent development in nanotechnology resulted in growing of various nanoplate like structures. High attention was devoted to graphene sheet nanostructure, which enforced the scientist to start developing various theoretical models to investigate its physical properties. Magnetic field effects on nanoplates, especially graphene sheets, have also attracted a considerable attention of the scientific community. Here, by using the nonlocal theory, we examine the influence of in-plane magnetic field on the viscoelastic orthotropic multi-nanoplate system (VOMNPS) embedded in a viscoelastic medium. We derive the system of m partial differential equations describing the free transverse vibration of VOMNPS under the uniaxial in-plane magnetic field using the Eringen's nonlocal elasticity and Kirchhoff's plate theory considering the viscoelastic and orthotropic material properties of nanoplates. Closed form solutions for complex natural frequencies are derived by applying the Navier's and trigonometric method for the case of simply supported nanoplates. The results obtained with analytical method are validated with the results obtained by using the numerical method. In addition, numerical examples are given to show the effects of nonlocal parameter, internal damping, damping and stiffness of viscoelastic medium, rotary inertia and uniaxial in-plane magnetic force on the real and the imaginary parts of complex natural frequencies of VOMNPS. This study can be useful as a starting point for the research and design of nanoelectromechanical devices based on graphene sheets.
published_date 2017-12-31T03:38:55Z
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score 11.013148

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