A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates

In this paper, a numerical study on thermal postbuckling behavior of orthotropic circular plates is presented. The numerical solutions developed in this study are based on von Kàrmàn nonlinear strain - displacement relations. The governing nonlinear differential equations are transformed into linear...

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Main Authors: Nair, Anju V., Abdul Rahman, Mohd Kasim, Mohd Zuki, Salleh
Format: Conference or Workshop Item
Language:English
Published: 2017
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Online Access:http://umpir.ump.edu.my/id/eprint/19718/1/fist-2017-abrahman-A%20suitable%20numerical%20approximation%20for%20the%20thermal.pdf
http://umpir.ump.edu.my/id/eprint/19718/
https://doi.org/10.1088/1742-6596/890/1/012061
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Institution: Universiti Malaysia Pahang
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spelling my.ump.umpir.197182019-10-03T07:53:36Z http://umpir.ump.edu.my/id/eprint/19718/ A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates Nair, Anju V. Abdul Rahman, Mohd Kasim Mohd Zuki, Salleh QC Physics In this paper, a numerical study on thermal postbuckling behavior of orthotropic circular plates is presented. The numerical solutions developed in this study are based on von Kàrmàn nonlinear strain - displacement relations. The governing nonlinear differential equations are transformed into linear differential equations. Both simply supported and clamped boundary conditions are considered. The radial edge load of circular plates is evaluated by assuming suitable admissible function for the lateral displacement. The postbuckling loads of orthotropic circular plates are evaluated using the determined linear buckling load and radial edge load. The numerical results obtained from the present investigation are compared with the known results reported in the literature and found in good agreement. The error percentage of the results has been predicted and a maximum error is found out to be 1.37 % for simply supported and 3.08 % for clamped boundary conditions respectively. 2017 Conference or Workshop Item PeerReviewed application/pdf en cc_by http://umpir.ump.edu.my/id/eprint/19718/1/fist-2017-abrahman-A%20suitable%20numerical%20approximation%20for%20the%20thermal.pdf Nair, Anju V. and Abdul Rahman, Mohd Kasim and Mohd Zuki, Salleh (2017) A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates. In: Journal of Physics: Conference Series, 1st International Conference on Applied & Industrial Mathematics and Statistics 2017 (ICoAIMS 2017), 8-10 August 2017 , Kuantan, Pahang, Malaysia. pp. 1-6., 890 (012061). ISSN 1742-6596 https://doi.org/10.1088/1742-6596/890/1/012061
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QC Physics
spellingShingle QC Physics
Nair, Anju V.
Abdul Rahman, Mohd Kasim
Mohd Zuki, Salleh
A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates
description In this paper, a numerical study on thermal postbuckling behavior of orthotropic circular plates is presented. The numerical solutions developed in this study are based on von Kàrmàn nonlinear strain - displacement relations. The governing nonlinear differential equations are transformed into linear differential equations. Both simply supported and clamped boundary conditions are considered. The radial edge load of circular plates is evaluated by assuming suitable admissible function for the lateral displacement. The postbuckling loads of orthotropic circular plates are evaluated using the determined linear buckling load and radial edge load. The numerical results obtained from the present investigation are compared with the known results reported in the literature and found in good agreement. The error percentage of the results has been predicted and a maximum error is found out to be 1.37 % for simply supported and 3.08 % for clamped boundary conditions respectively.
format Conference or Workshop Item
author Nair, Anju V.
Abdul Rahman, Mohd Kasim
Mohd Zuki, Salleh
author_facet Nair, Anju V.
Abdul Rahman, Mohd Kasim
Mohd Zuki, Salleh
author_sort Nair, Anju V.
title A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates
title_short A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates
title_full A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates
title_fullStr A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates
title_full_unstemmed A Suitable Numerical Approximation for the Thermal Postbuckling Behaviour of Orthotropic Circular Plates
title_sort suitable numerical approximation for the thermal postbuckling behaviour of orthotropic circular plates
publishDate 2017
url http://umpir.ump.edu.my/id/eprint/19718/1/fist-2017-abrahman-A%20suitable%20numerical%20approximation%20for%20the%20thermal.pdf
http://umpir.ump.edu.my/id/eprint/19718/
https://doi.org/10.1088/1742-6596/890/1/012061
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