Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation Method
Structural beams are important parts of engineering projects. The structural analysis of beams is required to ensure that they provide the specifics needed to prevent and withstand failure. Therefore, the numerical solution to analyze an Euler-Bernoulli beam with arbitrary boundary conditions using...
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Institute of Fundamental Technological Research
2017-08-01
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| Series: | Engineering Transactions |
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| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/565 |
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| author | Amin GHANNADIASL Mohsen Zare GOLMOGANY |
| author_facet | Amin GHANNADIASL Mohsen Zare GOLMOGANY |
| author_sort | Amin GHANNADIASL |
| collection | DOAJ |
| description | Structural beams are important parts of engineering projects. The structural analysis of beams is required to ensure that they provide the specifics needed to prevent and withstand failure. Therefore, the numerical solution to analyze an Euler-Bernoulli beam with arbitrary boundary conditions using sextic B-spline method is presented in this paper. A direct modeling technique is applied for modeling the Euler-Bernoulli beam with arbitrary boundary conditions on an elastic Winkler foundation. For this purpose, the effect of the translational along with rotational support, the type of beam supports and the elastic coefficient of Winkler foundation are assessed. Finally, some numerical examples are shown to present the efficiency of the sextic B-spline collocation method. To validate the analysis of the Euler-Bernoulli beam with the presented method, the results of B-spline collocation method are compared with the results of the analytical method and the integrated finite element analysis of structures (SAP2000). |
| format | Article |
| id | doaj-art-4d08fae38d1143e6a38f70cdb26876d8 |
| institution | Matheson Library |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 2017-08-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-4d08fae38d1143e6a38f70cdb26876d82025-07-11T04:53:58ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80712017-08-0165310.24423/engtrans.565.2017Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation MethodAmin GHANNADIASL0Mohsen Zare GOLMOGANY1University of Mohaghegh ArdabiliUniversity of Mohaghegh ArdabiliStructural beams are important parts of engineering projects. The structural analysis of beams is required to ensure that they provide the specifics needed to prevent and withstand failure. Therefore, the numerical solution to analyze an Euler-Bernoulli beam with arbitrary boundary conditions using sextic B-spline method is presented in this paper. A direct modeling technique is applied for modeling the Euler-Bernoulli beam with arbitrary boundary conditions on an elastic Winkler foundation. For this purpose, the effect of the translational along with rotational support, the type of beam supports and the elastic coefficient of Winkler foundation are assessed. Finally, some numerical examples are shown to present the efficiency of the sextic B-spline collocation method. To validate the analysis of the Euler-Bernoulli beam with the presented method, the results of B-spline collocation method are compared with the results of the analytical method and the integrated finite element analysis of structures (SAP2000).https://et.ippt.pan.pl/index.php/et/article/view/565Euler–Bernoulli Beamarbitrary boundary conditionsWinkler foundationB-spline collocation method |
| spellingShingle | Amin GHANNADIASL Mohsen Zare GOLMOGANY Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation Method Engineering Transactions Euler–Bernoulli Beam arbitrary boundary conditions Winkler foundation B-spline collocation method |
| title | Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation Method |
| title_full | Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation Method |
| title_fullStr | Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation Method |
| title_full_unstemmed | Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation Method |
| title_short | Analysis of Euler-Bernoulli Beams with Arbitrary Boundary Conditions on Winkler Foundation Using a B-Spline Collocation Method |
| title_sort | analysis of euler bernoulli beams with arbitrary boundary conditions on winkler foundation using a b spline collocation method |
| topic | Euler–Bernoulli Beam arbitrary boundary conditions Winkler foundation B-spline collocation method |
| url | https://et.ippt.pan.pl/index.php/et/article/view/565 |
| work_keys_str_mv | AT aminghannadiasl analysisofeulerbernoullibeamswitharbitraryboundaryconditionsonwinklerfoundationusingabsplinecollocationmethod AT mohsenzaregolmogany analysisofeulerbernoullibeamswitharbitraryboundaryconditionsonwinklerfoundationusingabsplinecollocationmethod |