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

Rabia Anwar | Zendy; Madiha Ghamkhar | Zendy; Muhammad Imran Khan | Zendy; Rabia Safdar | Zendy; Muhammad Zafar Iqbal | Zendy; Wasim Jamshed | Zendy; Esra Karataş Akgül | Zendy; M. Prakash | Zendy

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

Author(s) -

Rabia Anwar,

Madiha Ghamkhar,

Muhammad Imran Khan,

Rabia Safdar,

Muhammad Zafar Iqbal,

Wasim Jamshed,

Esra Karataş Akgül,

M. Prakash

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/4843321

Subject(s) - shell (structure) , vibration , materials science , rayleigh–ritz method , displacement (psychology) , composite material , functionally graded material , natural frequency , enhanced data rates for gsm evolution , structural engineering , material properties , engineering , physics , acoustics , psychology , telecommunications , psychotherapist

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.

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