Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method
Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral equations, and difference equations. In this st...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/341063 |
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| _version_ | 1850225909488943104 |
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| author | Aytekin Eryılmaz M. Tarık Atay Safa B. Coşkun Musa Başbük |
| author_facet | Aytekin Eryılmaz M. Tarık Atay Safa B. Coşkun Musa Başbük |
| author_sort | Aytekin Eryılmaz |
| collection | DOAJ |
| description | Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral equations, and difference equations. In this study, we presented the application of HAM to the critical buckling loads for Euler columns with five different support cases continuous elastic restraints. The results are compared with the analytic solutions. |
| format | Article |
| id | doaj-art-5b51ec9ac77e47aaaf94cd92284d46de |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5b51ec9ac77e47aaaf94cd92284d46de2025-08-20T02:05:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/341063341063Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis MethodAytekin Eryılmaz0M. Tarık Atay1Safa B. Coşkun2Musa Başbük3Department of Mathematics, Nevşehir University, 50300 Nevşehir, TurkeyDepartment of Mathematics, Niğde University, 51100 Niğde, TurkeyDepartment of Civil Engineering, Kocaeli University, 41380 Kocaeli, TurkeyDepartment of Mathematics, Nevşehir University, 50300 Nevşehir, TurkeyHomotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral equations, and difference equations. In this study, we presented the application of HAM to the critical buckling loads for Euler columns with five different support cases continuous elastic restraints. The results are compared with the analytic solutions.http://dx.doi.org/10.1155/2013/341063 |
| spellingShingle | Aytekin Eryılmaz M. Tarık Atay Safa B. Coşkun Musa Başbük Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method Journal of Applied Mathematics |
| title | Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method |
| title_full | Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method |
| title_fullStr | Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method |
| title_full_unstemmed | Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method |
| title_short | Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method |
| title_sort | buckling of euler columns with a continuous elastic restraint via homotopy analysis method |
| url | http://dx.doi.org/10.1155/2013/341063 |
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