BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE
The present work is devoted to the buckling study of non-homogeneous fixed- fixed beams with intermediate spring support. The stability issue of these beams leads to three-point boundary value problems. If the Green functions of these boundary value problems are known, the differential equations of...
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| Format: | Article |
| Language: | English |
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Alma Mater Publishing House "Vasile Alecsandri" University of Bacau
2022-09-01
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| Series: | Journal of Engineering Studies and Research |
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| Online Access: | https://jesr.ub.ro/index.php/1/article/view/324 |
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| author | ABDERRAZEK MESSAOUDI LASZLO PETER KISS |
| author_facet | ABDERRAZEK MESSAOUDI LASZLO PETER KISS |
| author_sort | ABDERRAZEK MESSAOUDI |
| collection | DOAJ |
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The present work is devoted to the buckling study of non-homogeneous fixed- fixed beams with intermediate spring support. The stability issue of these beams leads to three-point boundary value problems. If the Green functions of these boundary value problems are known, the differential equations of the stability problems that contain the critical load sought can be turned into eigenvalue problems given by homogeneous Fredholm integral equations. The kernel function of these equations can be calculated from the associated Green functions. The eigenvalue issues can be reduced to algebraic eigenvalue problems, which are subsequently solvable numerically with the use of an efficient algorithm from the boundary element method. Within this article, the critical load findings of these beams are compared to those obtained using commercial finite element software, and the results are in excellent correlation.
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| format | Article |
| id | doaj-art-bd9e4a4171ab4e8fb0b7546732cfdbe3 |
| institution | Kabale University |
| issn | 2068-7559 2344-4932 |
| language | English |
| publishDate | 2022-09-01 |
| publisher | Alma Mater Publishing House "Vasile Alecsandri" University of Bacau |
| record_format | Article |
| series | Journal of Engineering Studies and Research |
| spelling | doaj-art-bd9e4a4171ab4e8fb0b7546732cfdbe32025-02-09T11:37:06ZengAlma Mater Publishing House "Vasile Alecsandri" University of BacauJournal of Engineering Studies and Research2068-75592344-49322022-09-01282BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUEABDERRAZEK MESSAOUDILASZLO PETER KISS The present work is devoted to the buckling study of non-homogeneous fixed- fixed beams with intermediate spring support. The stability issue of these beams leads to three-point boundary value problems. If the Green functions of these boundary value problems are known, the differential equations of the stability problems that contain the critical load sought can be turned into eigenvalue problems given by homogeneous Fredholm integral equations. The kernel function of these equations can be calculated from the associated Green functions. The eigenvalue issues can be reduced to algebraic eigenvalue problems, which are subsequently solvable numerically with the use of an efficient algorithm from the boundary element method. Within this article, the critical load findings of these beams are compared to those obtained using commercial finite element software, and the results are in excellent correlation. https://jesr.ub.ro/index.php/1/article/view/324green function, fredholm integral equation, boundary value problem, buckling |
| spellingShingle | ABDERRAZEK MESSAOUDI LASZLO PETER KISS BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE Journal of Engineering Studies and Research green function, fredholm integral equation, boundary value problem, buckling |
| title | BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE |
| title_full | BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE |
| title_fullStr | BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE |
| title_full_unstemmed | BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE |
| title_short | BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE |
| title_sort | buckling of beams with a boundary element technique |
| topic | green function, fredholm integral equation, boundary value problem, buckling |
| url | https://jesr.ub.ro/index.php/1/article/view/324 |
| work_keys_str_mv | AT abderrazekmessaoudi bucklingofbeamswithaboundaryelementtechnique AT laszlopeterkiss bucklingofbeamswithaboundaryelementtechnique |