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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| Format: | Conference or Workshop Item |
| Language: | English |
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2017
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| Online Access: | http://umpir.ump.edu.my/id/eprint/19718/ http://umpir.ump.edu.my/id/eprint/19718/1/fist-2017-abrahman-A%20suitable%20numerical%20approximation%20for%20the%20thermal.pdf |
| _version_ | 1848820946524176384 |
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| 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. |
| building | UMP Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T02:17:32Z |
| format | Conference or Workshop Item |
| id | ump-19718 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:17:32Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-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 (Published) https://doi.org/10.1088/1742-6596/890/1/012061 |
| 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 |
| title | 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_short | 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 |
| topic | QC Physics |
| url | http://umpir.ump.edu.my/id/eprint/19718/ http://umpir.ump.edu.my/id/eprint/19718/ http://umpir.ump.edu.my/id/eprint/19718/1/fist-2017-abrahman-A%20suitable%20numerical%20approximation%20for%20the%20thermal.pdf |