Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness

In this research, vibration frequency analysis of three layered functionally graded material (FGM) cylinder-shaped shell is studied with FGM central layer and the internal and external layers are of homogenous material. Strain and curvature-displacement relations are taken from Sander’s shell theory...

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Autores principales: Ghamkhar, Madiha, Naeem, Muhammad Nawaz, Imran, Muhammad, Kamran, Muhammad, Soutis, Constantinos
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6367515/
https://www.ncbi.nlm.nih.gov/pubmed/30733533
http://dx.doi.org/10.1038/s41598-018-38122-0
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author Ghamkhar, Madiha
Naeem, Muhammad Nawaz
Imran, Muhammad
Kamran, Muhammad
Soutis, Constantinos
author_facet Ghamkhar, Madiha
Naeem, Muhammad Nawaz
Imran, Muhammad
Kamran, Muhammad
Soutis, Constantinos
author_sort Ghamkhar, Madiha
collection PubMed
description In this research, vibration frequency analysis of three layered functionally graded material (FGM) cylinder-shaped shell is studied with FGM central layer and the internal and external layers are of homogenous material. Strain and curvature-displacement relations are taken from Sander’s shell theory. The shell frequency equation is obtained by employing the Rayleigh Ritz method. Influence on natural frequencies (NFs) is observed for various thickness of the middle layer. The characteristics beam functions are used to estimate the dependence of axial modal. Results are obtained for thickness to radius ratios and length to radius ratios for different edge conditions. The validity of this method is checked for numerous results in the open literature.
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spelling pubmed-63675152019-02-14 Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness Ghamkhar, Madiha Naeem, Muhammad Nawaz Imran, Muhammad Kamran, Muhammad Soutis, Constantinos Sci Rep Article In this research, vibration frequency analysis of three layered functionally graded material (FGM) cylinder-shaped shell is studied with FGM central layer and the internal and external layers are of homogenous material. Strain and curvature-displacement relations are taken from Sander’s shell theory. The shell frequency equation is obtained by employing the Rayleigh Ritz method. Influence on natural frequencies (NFs) is observed for various thickness of the middle layer. The characteristics beam functions are used to estimate the dependence of axial modal. Results are obtained for thickness to radius ratios and length to radius ratios for different edge conditions. The validity of this method is checked for numerous results in the open literature. Nature Publishing Group UK 2019-02-07 /pmc/articles/PMC6367515/ /pubmed/30733533 http://dx.doi.org/10.1038/s41598-018-38122-0 Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Ghamkhar, Madiha
Naeem, Muhammad Nawaz
Imran, Muhammad
Kamran, Muhammad
Soutis, Constantinos
Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness
title Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness
title_full Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness
title_fullStr Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness
title_full_unstemmed Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness
title_short Vibration frequency analysis of three-layered cylinder shaped shell with effect of FGM central layer thickness
title_sort vibration frequency analysis of three-layered cylinder shaped shell with effect of fgm central layer thickness
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6367515/
https://www.ncbi.nlm.nih.gov/pubmed/30733533
http://dx.doi.org/10.1038/s41598-018-38122-0
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