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Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium

Danilo Karličić, Predrag Kozić, Ratko Pavlović, Danilo Karlicic Orcid Logo

Composite Structures, Volume: 115, Pages: 89 - 99

Swansea University Author: Danilo Karlicic Orcid Logo

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DOI (Published version): 10.1016/j.compstruct.2014.04.002

Abstract

Modeling of nano-structure systems using nonlocal theories has received a great attention in recent years. However, there are not so many papers giving the exact solution for the free vibration problem of multiple nano-structure systems especially when damping properties of the system are considered...

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Published in: Composite Structures
ISSN: 02638223
Published: 2014
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URI: https://cronfa.swan.ac.uk/Record/cronfa49829
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spelling 2019-09-18T16:22:13.0690692 v2 49829 2019-03-29 Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium d99ee591771c238aab350833247c8eb9 0000-0002-7547-9293 Danilo Karlicic Danilo Karlicic true false 2019-03-29 EEN Modeling of nano-structure systems using nonlocal theories has received a great attention in recent years. However, there are not so many papers giving the exact solution for the free vibration problem of multiple nano-structure systems especially when damping properties of the system are considered. Here, we analyzed the free transverse vibration of a viscoelastic multi-nanoplate system (MNPS) embedded in a viscoelastic medium taking into account small-scale effects by using the nonlocal theory of Eringen. The modified Kelvin–Voigt viscoelastic constitutive relation was used to model material and nano-scale characteristics of nanoplates. Based on the Kirchhoff–Love plate theory, D’ Alembert’s principle and viscoelastic constitutive relation, we derived the homogeneous system of m partial differential equations of motion coupled through the viscoelastic interaction. The closed form solutions of undamped natural frequencies and modal damping factor were obtained utilizing the Navier’s method and trigonometric method for the case of “Cantilever-Chain” system. The proposed analytical results are verified with the results available in the literature and excellent agreement is achieved. In addition, we investigated the influences of a nonlocal and viscoelastic parameter, plate aspect ratio and coefficients of a viscoelastic medium on the complex eigenvalues through numerical simulations. Journal Article Composite Structures 115 89 99 02638223 Nonlocal viscoelasticity; Multiple orthotropic nanoplates; Analytical solution; Graphene sheets 31 8 2014 2014-08-31 10.1016/j.compstruct.2014.04.002 COLLEGE NANME Engineering COLLEGE CODE EEN Swansea University 2019-09-18T16:22:13.0690692 2019-03-29T21:44:12.5866145 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Danilo Karličić 1 Predrag Kozić 2 Ratko Pavlović 3 Danilo Karlicic 0000-0002-7547-9293 4
title Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium
spellingShingle Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium
Danilo Karlicic
title_short Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium
title_full Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium
title_fullStr Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium
title_full_unstemmed Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium
title_sort Free transverse vibration of nonlocal viscoelastic orthotropic multi-nanoplate system (MNPS) embedded in a viscoelastic medium
author_id_str_mv d99ee591771c238aab350833247c8eb9
author_id_fullname_str_mv d99ee591771c238aab350833247c8eb9_***_Danilo Karlicic
author Danilo Karlicic
author2 Danilo Karličić
Predrag Kozić
Ratko Pavlović
Danilo Karlicic
format Journal article
container_title Composite Structures
container_volume 115
container_start_page 89
publishDate 2014
institution Swansea University
issn 02638223
doi_str_mv 10.1016/j.compstruct.2014.04.002
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 0
active_str 0
description Modeling of nano-structure systems using nonlocal theories has received a great attention in recent years. However, there are not so many papers giving the exact solution for the free vibration problem of multiple nano-structure systems especially when damping properties of the system are considered. Here, we analyzed the free transverse vibration of a viscoelastic multi-nanoplate system (MNPS) embedded in a viscoelastic medium taking into account small-scale effects by using the nonlocal theory of Eringen. The modified Kelvin–Voigt viscoelastic constitutive relation was used to model material and nano-scale characteristics of nanoplates. Based on the Kirchhoff–Love plate theory, D’ Alembert’s principle and viscoelastic constitutive relation, we derived the homogeneous system of m partial differential equations of motion coupled through the viscoelastic interaction. The closed form solutions of undamped natural frequencies and modal damping factor were obtained utilizing the Navier’s method and trigonometric method for the case of “Cantilever-Chain” system. The proposed analytical results are verified with the results available in the literature and excellent agreement is achieved. In addition, we investigated the influences of a nonlocal and viscoelastic parameter, plate aspect ratio and coefficients of a viscoelastic medium on the complex eigenvalues through numerical simulations.
published_date 2014-08-31T04:01:03Z
_version_ 1763753133367885824
score 11.037581

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