Optimal Design of Bubble Deck Concrete Slabs: Serviceability Limit State

cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtual.author-orcid0000-0002-9588-2514
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcid#PLACEHOLDER_PARENT_METADATA_VALUE#
cris.virtualsource.author-orcidae71bc22-fde2-40b2-878c-e07e0e5aad5a
dc.abstract.enIn engineering practice, one can often encounter issues related to optimization, where the goal is to minimize material consumption and minimize stresses or deflections of the structure. In most cases, these issues are addressed with finite element analysis software and simple optimization algorithms. However, in the case of optimization of certain structures, it is not so straightforward. An example of such constructions are bubble deck ceilings, where, in order to reduce the dead weight, air cavities are used, which are regularly arranged over the entire surface of the ceiling. In the case of these slabs, the flexural stiffness is not constant in all its cross-sections, which means that the use of structural finite elements (plate or shell) for static calculations is not possible, and therefore, the optimization process becomes more difficult. This paper presents a minimization procedure of the weight of bubble deck slabs using numerical homogenization and sequential quadratic programming with constraints. Homogenization allows for determining the effective stiffnesses of the floor, which in the next step are sequentially corrected by changing the geometrical parameters of the floor and voids in order to achieve the assumed deflection. The presented procedure allows for minimizing the use of material in a quick and effective way by automatically determining the optimal parameters describing the geometry of the bubble deck floor cross-section. For the optimal solution, the concrete weight of the bubble deck slab was reduced by about 23% in reference to the initial design, and the serviceability limit state was met.
dc.affiliationWydział Inżynierii Środowiska i Inżynierii Mechanicznej
dc.affiliation.instituteKatedra Inżynierii Biosystemów
dc.contributor.authorGajewski, Tomasz
dc.contributor.authorStaszak, Natalia
dc.contributor.authorGarbowski, Tomasz
dc.date.access2025-07-28
dc.date.accessioned2025-10-28T11:48:35Z
dc.date.available2025-10-28T11:48:35Z
dc.date.copyright2023-07-08
dc.date.issued2023
dc.description.abstract<jats:p>In engineering practice, one can often encounter issues related to optimization, where the goal is to minimize material consumption and minimize stresses or deflections of the structure. In most cases, these issues are addressed with finite element analysis software and simple optimization algorithms. However, in the case of optimization of certain structures, it is not so straightforward. An example of such constructions are bubble deck ceilings, where, in order to reduce the dead weight, air cavities are used, which are regularly arranged over the entire surface of the ceiling. In the case of these slabs, the flexural stiffness is not constant in all its cross-sections, which means that the use of structural finite elements (plate or shell) for static calculations is not possible, and therefore, the optimization process becomes more difficult. This paper presents a minimization procedure of the weight of bubble deck slabs using numerical homogenization and sequential quadratic programming with constraints. Homogenization allows for determining the effective stiffnesses of the floor, which in the next step are sequentially corrected by changing the geometrical parameters of the floor and voids in order to achieve the assumed deflection. The presented procedure allows for minimizing the use of material in a quick and effective way by automatically determining the optimal parameters describing the geometry of the bubble deck floor cross-section. For the optimal solution, the concrete weight of the bubble deck slab was reduced by about 23% in reference to the initial design, and the serviceability limit state was met.</jats:p>
dc.description.accesstimeat_publication
dc.description.bibliographyil., bibliogr.
dc.description.financepublication_nocost
dc.description.financecost0,00
dc.description.if3,1
dc.description.number14
dc.description.points140
dc.description.versionfinal_published
dc.description.volume16
dc.identifier.doi10.3390/ma16144897
dc.identifier.issn1996-1944
dc.identifier.urihttps://sciencerep.up.poznan.pl/handle/item/5536
dc.identifier.weblinkhttps://www.mdpi.com/1996-1944/16/14/4897
dc.languageen
dc.relation.ispartofMaterials
dc.relation.pagesart. 4897
dc.rightsCC-BY
dc.sciencecloudnosend
dc.share.typeOPEN_JOURNAL
dc.subject.enlightweight structures
dc.subject.enbubble deck concrete slabs
dc.subject.ennumerical homogenization
dc.subject.enweight minimization
dc.subject.ensequential quadratic programming
dc.titleOptimal Design of Bubble Deck Concrete Slabs: Serviceability Limit State
dc.title.volumeThis article belongs to the Special Issue Numerical and Experimental Analysis of Advanced Concrete Materials
dc.typeJournalArticle
dspace.entity.typePublication
oaire.citation.issue14
oaire.citation.volume16