An approach to the optimization of thin-walled cantilever open section beams
An approach to the optimization of the thin-walled cantilever open section beams subjected to the bending and to the constrained torsion is considered. The problem is reduced to the determination of minimum mass, i.e. minimum cross-sectional area of structural thin-walled I-beam and channel-section...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2007-01-01
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| Series: | Theoretical and Applied Mechanics |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2007/1450-55840704323A.pdf |
| _version_ | 1818346121261481984 |
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| author | Anđelić Nina Milošević-Mitić Vesna |
| author_facet | Anđelić Nina Milošević-Mitić Vesna |
| author_sort | Anđelić Nina |
| collection | DOAJ |
| description | An approach to the optimization of the thin-walled cantilever open section beams subjected to the bending and to the constrained torsion is considered. The problem is reduced to the determination of minimum mass, i.e. minimum cross-sectional area of structural thin-walled I-beam and channel-section beam elements for given loads, material and geometrical characteristics. The area of the cross-section is assumed to be the objective function. The stress constraints are introduced. Applying the Lagrange multiplier method the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation. |
| first_indexed | 2024-12-13T17:13:14Z |
| format | Article |
| id | doaj.art-3bc4b8555bff49078a5719e5d206d52a |
| institution | Directory Open Access Journal |
| issn | 1450-5584 |
| language | English |
| last_indexed | 2024-12-13T17:13:14Z |
| publishDate | 2007-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj.art-3bc4b8555bff49078a5719e5d206d52a2022-12-21T23:37:30ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842007-01-0134432334010.2298/TAM0704323AAn approach to the optimization of thin-walled cantilever open section beamsAnđelić NinaMilošević-Mitić VesnaAn approach to the optimization of the thin-walled cantilever open section beams subjected to the bending and to the constrained torsion is considered. The problem is reduced to the determination of minimum mass, i.e. minimum cross-sectional area of structural thin-walled I-beam and channel-section beam elements for given loads, material and geometrical characteristics. The area of the cross-section is assumed to be the objective function. The stress constraints are introduced. Applying the Lagrange multiplier method the equations, whose solutions represent the optimal values of the ratios of the parts of the chosen cross-section, are formed. The obtained results are used for numerical calculation.http://www.doiserbia.nb.rs/img/doi/1450-5584/2007/1450-55840704323A.pdfoptimizationthin-walled beamsoptimal dimensionsobjective functionstress constraints |
| spellingShingle | Anđelić Nina Milošević-Mitić Vesna An approach to the optimization of thin-walled cantilever open section beams Theoretical and Applied Mechanics optimization thin-walled beams optimal dimensions objective function stress constraints |
| title | An approach to the optimization of thin-walled cantilever open section beams |
| title_full | An approach to the optimization of thin-walled cantilever open section beams |
| title_fullStr | An approach to the optimization of thin-walled cantilever open section beams |
| title_full_unstemmed | An approach to the optimization of thin-walled cantilever open section beams |
| title_short | An approach to the optimization of thin-walled cantilever open section beams |
| title_sort | approach to the optimization of thin walled cantilever open section beams |
| topic | optimization thin-walled beams optimal dimensions objective function stress constraints |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5584/2007/1450-55840704323A.pdf |
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