<div class="csl-bib-body">
<div class="csl-entry">Pellis, D. (2019). <i>Quad meshes as optimized architectural freeform structures</i> [Dissertation, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2019.72071</div>
</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2019.72071
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/1456
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dc.description.abstract
This thesis tackles the design of freeform surface-like and load-bearing structures realized with cladding panels and supported by a framework substructure, often called gridshells. The actual fabrication of freeform gridshells is a challenging task, and easily leads to unsustainable costs. A well known strategy to realize a gridshell is to use as layout a so-called principal mesh. This is a quadrilateral mesh whose edges follow the principal curvature directions of a continuous surface. We achieve in this way flat cladding panels and a substructure with simplified connections. This thesis shows that quadrilateral meshes, besides allowing manufacturing simplification, are also optimal solutions both for static performance and smooth visual appearance. In particular, we show that the best static performance is achieved for quad meshes discretizing membranes along principal stress lines, and we get an absolute minimum on such membranes where the integral of absolute principal stresses is minimal. We also show that the best smooth visual appearance is achieved for principal meshes; the absolute minimum is now reached for principal meshes discretizing surfaces where the integral of absolute principal curvatures is minimal. Therefore, from membranes where stress and curvature directions are aligned, and where the total absolute stress is minimal, we can extract principal meshes with the best static performance and with optimal visual appearance. We present then computational tools for the design of such highly efficient gridshells.
de
dc.description.abstract
This thesis tackles the design of freeform surface-like and load-bearing structures realized with cladding panels and supported by a framework substructure, often called gridshells. The actual fabrication of freeform gridshells is a challenging task, and easily leads to unsustainable costs. A well known strategy to realize a gridshell is to use as layout a so-called principal mesh. This is a quadrilateral mesh whose edges follow the principal curvature directions of a continuous surface. We achieve in this way flat cladding panels and a substructure with simplified connections. This thesis shows that quadrilateral meshes, besides allowing manufacturing simplification, are also optimal solutions both for static performance and smooth visual appearance. In particular, we show that the best static performance is achieved for quad meshes discretizing membranes along principal stress lines, and we get an absolute minimum on such membranes where the integral of absolute principal stresses is minimal. We also show that the best smooth visual appearance is achieved for principal meshes; the absolute minimum is now reached for principal meshes discretizing surfaces where the integral of absolute principal curvatures is minimal. Therefore, from membranes where stress and curvature directions are aligned, and where the total absolute stress is minimal, we can extract principal meshes with the best static performance and with optimal visual appearance. We present then computational tools for the design of such highly efficient gridshells.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
VIERECKSNETZE
de
dc.subject
FREIFORMSTRUKTUREN
de
dc.subject
QUAD MESHES
en
dc.subject
FREEFORM STRUCTURES
en
dc.title
Quad meshes as optimized architectural freeform structures
en
dc.title.alternative
Vierecksnetze als optimierte Architektonische Freiformstrukturen
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2019.72071
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Davide Pellis
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dc.publisher.place
Wien
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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dc.contributor.assistant
Pottmann, Helmut
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tuw.publication.orgunit
E202 - Institut für Mechanik der Werkstoffe und Strukturen
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dc.type.qualificationlevel
Doctoral
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dc.identifier.libraryid
AC15506151
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dc.description.numberOfPages
118
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dc.identifier.urn
urn:nbn:at:at-ubtuw:1-130790
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dc.thesistype
Dissertation
de
dc.thesistype
Dissertation
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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tuw.assistant.staffStatus
staff
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item.openaccessfulltext
Open Access
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item.openairecristype
http://purl.org/coar/resource_type/c_db06
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item.grantfulltext
open
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item.mimetype
application/pdf
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item.languageiso639-1
en
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item.openairetype
doctoral thesis
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item.fulltext
with Fulltext
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item.cerifentitytype
Publications
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crisitem.author.dept
E104-04 - Forschungsbereich Angewandte Geometrie
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie