The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)

The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)

In this paper, the effect of volume fraction of single-walled carbon nanotubes on natural frequencies of polymer composite cone-shaped shells made from Poly(Methyl Methacrylate) (PMMA) is studied. In order to determine the characterization of materials reinforced with nanoparticles, the molecular dy...

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Main Authors: A. H. Meysami, H. Razavi, I. Fakhari Golpayegani, V. Bagheri
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2017/7345438
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spelling doaj-e7ad19fd23e94534b0f1780c776380d52020-11-24T22:51:21ZengHindawi LimitedAdvances in Materials Science and Engineering1687-84341687-84422017-01-01201710.1155/2017/73454387345438The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)A. H. Meysami0H. Razavi1I. Fakhari Golpayegani2V. Bagheri3Department of Metallurgy & Material Engineering, Golpayegan University of Technology, Golpayegan 87717-65651, IranDepartment of Mechanical Engineering, Golpayegan University of Technology, Golpayegan 87717-65651, IranDepartment of Mechanical Engineering, Golpayegan University of Technology, Golpayegan 87717-65651, IranDepartment of Mechanical Engineering, Golpayegan University of Technology, Golpayegan 87717-65651, IranIn this paper, the effect of volume fraction of single-walled carbon nanotubes on natural frequencies of polymer composite cone-shaped shells made from Poly(Methyl Methacrylate) (PMMA) is studied. In order to determine the characterization of materials reinforced with nanoparticles, the molecular dynamics and mixture rule has been used. The motion equations of composite shell based on the classical thin shells theory using Hamilton’s principle are obtained. Then, using the Ritz method, approximate analytical solution of the natural frequency is presented. Results indicate that the nanotubes have a noticeable effect on the natural frequencies.http://dx.doi.org/10.1155/2017/7345438
collection DOAJ
language English
format Article
sources DOAJ
author A. H. Meysami
H. Razavi
I. Fakhari Golpayegani
V. Bagheri
spellingShingle A. H. Meysami
H. Razavi
I. Fakhari Golpayegani
V. Bagheri
The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)
Advances in Materials Science and Engineering
author_facet A. H. Meysami
H. Razavi
I. Fakhari Golpayegani
V. Bagheri
author_sort A. H. Meysami
title The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)
title_short The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)
title_full The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)
title_fullStr The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)
title_full_unstemmed The Effect of Volume Fraction of Single-Walled Carbon Nanotubes on Natural Frequencies of Polymer Composite Cone-Shaped Shell Made from Poly(Methyl Methacrylate)
title_sort effect of volume fraction of single-walled carbon nanotubes on natural frequencies of polymer composite cone-shaped shell made from poly(methyl methacrylate)
publisher Hindawi Limited
series Advances in Materials Science and Engineering
issn 1687-8434
1687-8442
publishDate 2017-01-01
description In this paper, the effect of volume fraction of single-walled carbon nanotubes on natural frequencies of polymer composite cone-shaped shells made from Poly(Methyl Methacrylate) (PMMA) is studied. In order to determine the characterization of materials reinforced with nanoparticles, the molecular dynamics and mixture rule has been used. The motion equations of composite shell based on the classical thin shells theory using Hamilton’s principle are obtained. Then, using the Ritz method, approximate analytical solution of the natural frequency is presented. Results indicate that the nanotubes have a noticeable effect on the natural frequencies.
url http://dx.doi.org/10.1155/2017/7345438
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