Global optimization of grillages
Important problem in civil engineering is obtaining optimal pile placement schemes for grillage-type foundations in order to reduce the number of piles and reactive forces arising in piles. The idealizations of problem and formulation for local and global optimization are discussed, highlighting th...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-09-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/30740 |
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| _version_ | 1823857928945270784 |
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| author | Rimantas Belevičius Dmitrij Šešok |
| author_facet | Rimantas Belevičius Dmitrij Šešok |
| author_sort | Rimantas Belevičius |
| collection | DOAJ |
| description |
Important problem in civil engineering is obtaining optimal pile placement schemes for grillage-type foundations in order to reduce the number of piles and reactive forces arising in piles. The idealizations of problem and formulation for local and global optimization are discussed, highlighting the must for global optimization. The grillage is discretized using finite element method. Sensitivity of objective function is obtained analytically. The solution technology for a class of aforementioned problems is proposed based on the use of global optimization algorithms of package GAMS, which are implemented as ``black boxes”. Results of computational experiments are presented.
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| format | Article |
| id | doaj-art-aa843d9ea8154d35a61a7c712f3282df |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-aa843d9ea8154d35a61a7c712f3282df2025-02-11T18:12:33ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30740Global optimization of grillagesRimantas Belevičius0Dmitrij Šešok1Vilnius Gediminas Technical UniversityVilnius Gediminas Technical University Important problem in civil engineering is obtaining optimal pile placement schemes for grillage-type foundations in order to reduce the number of piles and reactive forces arising in piles. The idealizations of problem and formulation for local and global optimization are discussed, highlighting the must for global optimization. The grillage is discretized using finite element method. Sensitivity of objective function is obtained analytically. The solution technology for a class of aforementioned problems is proposed based on the use of global optimization algorithms of package GAMS, which are implemented as ``black boxes”. Results of computational experiments are presented. https://www.zurnalai.vu.lt/LMR/article/view/30740optimization of grilage-type foundationsglobal optimizationfinite element method |
| spellingShingle | Rimantas Belevičius Dmitrij Šešok Global optimization of grillages Lietuvos Matematikos Rinkinys optimization of grilage-type foundations global optimization finite element method |
| title | Global optimization of grillages |
| title_full | Global optimization of grillages |
| title_fullStr | Global optimization of grillages |
| title_full_unstemmed | Global optimization of grillages |
| title_short | Global optimization of grillages |
| title_sort | global optimization of grillages |
| topic | optimization of grilage-type foundations global optimization finite element method |
| url | https://www.zurnalai.vu.lt/LMR/article/view/30740 |
| work_keys_str_mv | AT rimantasbelevicius globaloptimizationofgrillages AT dmitrijsesok globaloptimizationofgrillages |