Analysis of Laminated and FGM Beams using Various Theories

Mirza Shariq Beg; M. Yaqoob Yasin; Hasan M. Khalid

doi:10.1088/1757-899X/404/1/012030

Analysis of Laminated and FGM Beams using Various Theories

Mirza Shariq Beg, M. Yaqoob Yasin, Hasan M. Khalid

Aligarh Muslim University

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this work, we present a comparison of some recently developed higher order theories for static and free vibration responses of laminated and functionally graded material (FGM) beams. The equations of motion are derived using Hamilton's principle. Analytical Fourier series solution taking first n terms is derived for beams having simply supported end conditions. A computer code in MATLAB has been developed and the results obtained are compared with 2D elasticity/finite element solution for laminated beam to assess the accuracy of various theories. A parametric study has been presented for deflection, stresses and natural frequencies of FG beams.

Original language	English
Article number	012030
Journal	IOP Conference Series: Materials Science and Engineering
Volume	404
Issue number	1
DOIs	https://doi.org/10.1088/1757-899X/404/1/012030
Publication status	Published - 5 Oct 2018
Externally published	Yes
Event	1st International Conference on Contemporary Research in Mechanical Engineering with Focus on Materials and Manufacturing, ICCRME 2018 - Lucknow, India Duration: 6 Apr 2018 → 7 Apr 2018

Keywords

Analytical Solution
Functionally Graded Beams
Higher Order Theories
Voigt's ROM

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10.1088/1757-899X/404/1/012030

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title = "Analysis of Laminated and FGM Beams using Various Theories",

abstract = "In this work, we present a comparison of some recently developed higher order theories for static and free vibration responses of laminated and functionally graded material (FGM) beams. The equations of motion are derived using Hamilton's principle. Analytical Fourier series solution taking first n terms is derived for beams having simply supported end conditions. A computer code in MATLAB has been developed and the results obtained are compared with 2D elasticity/finite element solution for laminated beam to assess the accuracy of various theories. A parametric study has been presented for deflection, stresses and natural frequencies of FG beams.",

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AU - Shariq Beg, Mirza

AU - Yaqoob Yasin, M.

AU - Khalid, Hasan M.

N1 - Publisher Copyright: © Published under licence by IOP Publishing Ltd.

PY - 2018/10/5

Y1 - 2018/10/5

N2 - In this work, we present a comparison of some recently developed higher order theories for static and free vibration responses of laminated and functionally graded material (FGM) beams. The equations of motion are derived using Hamilton's principle. Analytical Fourier series solution taking first n terms is derived for beams having simply supported end conditions. A computer code in MATLAB has been developed and the results obtained are compared with 2D elasticity/finite element solution for laminated beam to assess the accuracy of various theories. A parametric study has been presented for deflection, stresses and natural frequencies of FG beams.

AB - In this work, we present a comparison of some recently developed higher order theories for static and free vibration responses of laminated and functionally graded material (FGM) beams. The equations of motion are derived using Hamilton's principle. Analytical Fourier series solution taking first n terms is derived for beams having simply supported end conditions. A computer code in MATLAB has been developed and the results obtained are compared with 2D elasticity/finite element solution for laminated beam to assess the accuracy of various theories. A parametric study has been presented for deflection, stresses and natural frequencies of FG beams.

KW - Analytical Solution

KW - Functionally Graded Beams

KW - Higher Order Theories

KW - Voigt's ROM

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SN - 1757-8981

VL - 404

JO - IOP Conference Series: Materials Science and Engineering

JF - IOP Conference Series: Materials Science and Engineering

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M1 - 012030

T2 - 1st International Conference on Contemporary Research in Mechanical Engineering with Focus on Materials and Manufacturing, ICCRME 2018

Y2 - 6 April 2018 through 7 April 2018

ER -

Analysis of Laminated and FGM Beams using Various Theories

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Keywords

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