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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Bibliographic Details
Main Authors: Rimantas Belevičius, Dmitrij Šešok
Format: Article
Language:English
Published: Vilnius University Press 2023-09-01
Series:Lietuvos Matematikos Rinkinys
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Online Access:https://www.zurnalai.vu.lt/LMR/article/view/30740
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Summary: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.
ISSN:0132-2818
2335-898X