Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study

Cylindrical shells play an important role for the construction of functionally graded materials (FGMs). Functionally graded materials are valuable in order to develop durable materials. They are made of two or more materials such as nickel, stainless steel, zirconia, and alumina. They are extremely...

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Autores principales:	Rabia Anwar, Madiha Ghamkhar, Muhammad Imran Khan, Rabia Safdar, Muhammad Zafar Iqbal, Wasim Jamshed, Esra Karatas Akgül, M. Prakash
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/aceb2d0d4517478480cbb433df29eab1
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spelling	oai:doaj.org-article:aceb2d0d4517478480cbb433df29eab12021-11-15T01:19:55ZFrequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study1563-514710.1155/2021/4843321https://doaj.org/article/aceb2d0d4517478480cbb433df29eab12021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/4843321https://doaj.org/toc/1563-5147Cylindrical shells play an important role for the construction of functionally graded materials (FGMs). Functionally graded materials are valuable in order to develop durable materials. They are made of two or more materials such as nickel, stainless steel, zirconia, and alumina. They are extremely beneficial for the manufacturing of structural elements. Functionally graded materials are broadly used in several fields such as chemistry, biomedicine, optics, and electronics. In the present research, vibrations of natural frequencies are investigated for different layered cylindrical shells, those constructed from FGMs. The behavior of shell vibration is based on different parameters of geometrical material. The problem of the shell is expressed from the constitutive relations of strain and stress with displacement, as well as it is adopted from Love’s shell theory. Vibrations of natural frequencies (NFs) are calculated for simply supported-simply supported (SS-SS) and clamped-free (C-F) edge conditions. The Rayleigh–Ritz technique is employed to obtain the shell frequency equation. The shell equation is solved by MATLAB software.Rabia AnwarMadiha GhamkharMuhammad Imran KhanRabia SafdarMuhammad Zafar IqbalWasim JamshedEsra Karatas AkgülM. PrakashHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Rabia Anwar Madiha Ghamkhar Muhammad Imran Khan Rabia Safdar Muhammad Zafar Iqbal Wasim Jamshed Esra Karatas Akgül M. Prakash Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study
description	Cylindrical shells play an important role for the construction of functionally graded materials (FGMs). Functionally graded materials are valuable in order to develop durable materials. They are made of two or more materials such as nickel, stainless steel, zirconia, and alumina. They are extremely beneficial for the manufacturing of structural elements. Functionally graded materials are broadly used in several fields such as chemistry, biomedicine, optics, and electronics. In the present research, vibrations of natural frequencies are investigated for different layered cylindrical shells, those constructed from FGMs. The behavior of shell vibration is based on different parameters of geometrical material. The problem of the shell is expressed from the constitutive relations of strain and stress with displacement, as well as it is adopted from Love’s shell theory. Vibrations of natural frequencies (NFs) are calculated for simply supported-simply supported (SS-SS) and clamped-free (C-F) edge conditions. The Rayleigh–Ritz technique is employed to obtain the shell frequency equation. The shell equation is solved by MATLAB software.
format	article
author	Rabia Anwar Madiha Ghamkhar Muhammad Imran Khan Rabia Safdar Muhammad Zafar Iqbal Wasim Jamshed Esra Karatas Akgül M. Prakash
author_facet	Rabia Anwar Madiha Ghamkhar Muhammad Imran Khan Rabia Safdar Muhammad Zafar Iqbal Wasim Jamshed Esra Karatas Akgül M. Prakash
author_sort	Rabia Anwar
title	Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study
title_short	Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study
title_full	Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study
title_fullStr	Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study
title_full_unstemmed	Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study
title_sort	frequency analysis for functionally graded material cylindrical shells: a significant case study
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/aceb2d0d4517478480cbb433df29eab1
work_keys_str_mv	AT rabiaanwar frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy AT madihaghamkhar frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy AT muhammadimrankhan frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy AT rabiasafdar frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy AT muhammadzafariqbal frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy AT wasimjamshed frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy AT esrakaratasakgul frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy AT mprakash frequencyanalysisforfunctionallygradedmaterialcylindricalshellsasignificantcasestudy
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Frequency Analysis for Functionally Graded Material Cylindrical Shells: A Significant Case Study

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