Simple item page
 

Optimization of Rectangular Tank Cross-Section Using Trust Region Gradient Method

cris.lastimport.scopus2025-10-23T07:00:19Z
cris.virtual.author-orcid0000-0002-9588-2514
cris.virtual.author-orcid0000-0002-1187-9087
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcidae71bc22-fde2-40b2-878c-e07e0e5aad5a
cris.virtualsource.author-orcida1bcc28c-d0aa-4a91-b294-4977b1953641
cris.virtualsource.author-orcid2a048636-df9b-4bae-b736-bcf7983b1f11
dc.abstract.en"In various industries, rectangular tanks are commonly used for storing liquids and other materials. The design and optimization of these tanks are crucial for ensuring structural integrity and material efficiency. Traditional designs often utilize constant wall thickness, which does not align optimally with the stress distribution, leading to potential overuse of materials and increased costs. Recent studies have shown that tanks with variable wall thickness, such as trapezoidal cross-sections, can better match stress distributions, particularly under hydrostatic loads, resulting in more efficient use of materials. This research aims to build upon previous studies by introducing an advanced optimization algorithm based on the Trust Region Gradient Method to further refine the cross-sectional design of rectangular tanks. The primary objective is to minimize the material usage while maintaining structural safety and performance under various load conditions, including hydrostatic pressure and thermal effects. The proposed algorithm iteratively adjusts the tank's wall thickness, seeking an optimal configuration that reduces bending moments and material costs. Initial static calculations is verified using the finite difference method, emphasizing energy minimization conditions for elastic strain in bent plates on elastic foundations. This approach is compared with traditional discretization methods to validate accuracy. The trust region method is then applied to optimize the design, with a focus on achieving a balance between structural integrity and economic feasibility. Preliminary results indicate that the trust region gradient method can significantly enhance the design process, leading to substantial material savings and improved structural performance. The algorithm's effectiveness is demonstrated through case studies comparing tanks with constant and variable wall thickness. This research contributes to sustainable construction practices by promoting designs that use materials more efficiently and meet safety standards."
dc.affiliationWydział Inżynierii Środowiska i Inżynierii Mechanicznej
dc.affiliation.instituteKatedra Inżynierii Biosystemów
dc.affiliation.instituteKatedra Budownictwa i Geoinżynierii
dc.contributor.authorGarbowski, Tomasz
dc.contributor.authorSzymczak-Graczyk, Anna Maria
dc.contributor.authorRutkowski, Janusz
dc.date.access2025-07-02
dc.date.accessioned2025-07-02T09:59:39Z
dc.date.available2025-07-02T09:59:39Z
dc.date.copyright2024-12-10
dc.date.issued2024
dc.description.abstract<jats:p>"In various industries, rectangular tanks are commonly used for storing liquids and other materials. The design and optimization ofthese tanks are crucial for ensuring structural integrity and material efficiency. Traditional designs often utilize constant wallthickness, which does not align optimally with the stress distribution, leading to potential overuse of materials and increased costs.Recent studies have shown that tanks with variable wall thickness, such as trapezoidal cross-sections, can better match stressdistributions, particularly under hydrostatic loads, resulting in more efficient use of materials. This research aims to build uponprevious studies by introducing an advanced optimization algorithm based on the Trust Region Gradient Method to further refinethe cross-sectional design of rectangular tanks. The primary objective is to minimize the material usage while maintainingstructural safety and performance under various load conditions, including hydrostatic pressure and thermal effects. The proposedalgorithm iteratively adjusts the tank's wall thickness, seeking an optimal configuration that reduces bending moments andmaterial costs. Initial static calculations is verified using the finite difference method, emphasizing energy minimization conditionsfor elastic strain in bent plates on elastic foundations. This approach is compared with traditional discretization methods tovalidate accuracy. The trust region method is then applied to optimize the design, with a focus on achieving a balance betweenstructural integrity and economic feasibility. Preliminary results indicate that the trust region gradient method can significantlyenhance the design process, leading to substantial material savings and improved structural performance. The algorithm'seffectiveness is demonstrated through case studies comparing tanks with constant and variable wall thickness. This researchcontributes to sustainable construction practices by promoting designs that use materials more efficiently and meet safetystandards."</jats:p>
dc.description.accesstimeat_publication
dc.description.bibliographyil., bibliogr.
dc.description.financepublication_nocost
dc.description.financecost0,00
dc.description.if0,4
dc.description.number2
dc.description.points40
dc.description.versionfinal_published
dc.description.volume1
dc.identifier.doi10.29227/IM-2024-02-99
dc.identifier.issn1640-4920
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/3805
dc.identifier.weblinkhttp://inzynieriamineralna.com.pl/index.php/testowe/article/view/654
dc.languageen
dc.language.otherpl
dc.pbn.affiliationenvironmental engineering, mining and energy
dc.relation.ispartofInżynieria Mineralna-Journal of the Polish Mineral Engineering Society
dc.relation.pages1-8
dc.rightsOther
dc.sciencecloudsend
dc.share.typeOPEN_JOURNAL
dc.subject.enrectangular tanks
dc.subject.enTrust Region Algorithm
dc.subject.envariable wall thickness
dc.subject.enfinite difference method
dc.subject.enstructural optimization
dc.subject.ensustainable construction
dc.subject.plzbiorniki prostopadłościenne
dc.subject.plmetoda obszaru zaufania
dc.subject.plzmienna grubość ścian
dc.subject.plmetoda różnic skończonych
dc.subject.ploptymalizacja strukturalna
dc.subject.plzrównoważone budownictwo
dc.titleOptimization of Rectangular Tank Cross-Section Using Trust Region Gradient Method
dc.title.alternativeOptymalizacja przekroju prostokÄ…tnego zbiornika z wykorzystaniem gradientowej metody obszaru zaufania
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue2
oaire.citation.volume1