AbstractsforIASSAnnualSymposium2017Interfaces:architecture.engineering.science25–28thSeptember,2017,Hamburg,Germany
AnnetteBögle,ManfredGrohmann(eds.)
architecture . engineering . science IASS 2017 hamburg
September 25th - 28th, 2017
PatternsforMasonryVaultDesign
RobinOVALa,b*,MatthiasRIPPMANNa,TomVANMELEa,OlivierBAVERELb,PhilippeBLOCKa
*NavierMSAandBlockResearchGroup,Stefano-Franscini-Platz1,HIBE45,8093Zurich,Switzerland,[email protected]
aETHZurich,InstituteofTechnologyinArchitecture,BlockResearchGroup,SwitzerlandbÉcoleNationaledesPonts&Chaussées,NavierMSA,Paris
Abstract
This paper presents amethodology for a fully controlled pattern design scheme for funicularformfinding,withextensions forautomatic tessellationofmasonryvaults.Theuserefficientlycontrolsthepatterntopology,singularitiesanddensity.
Unreinforced masonry vaults work primarily under compression. The double curvature andhighdegreeofhyperstaticityinthesestructuresallowawiderangeofsolutions,evenforagivenset of boundary conditions. Thrust Network Analysis [1] implemented in RhinoVAULT [2],permits an interactive graphical exploration of the design space, based on form and forcediagramsderivedfromgraphicstaticsmethods.
Thegenerationofpatternsthatpermitanefficientexplorationofpossibleforceequilibriumsiscrucial to allow thedesigner to steer the form-findingprocess. This researchproposes a fullycontrolledpatterndesignmethodologytogenerateformdiagramsthatdisplayagoodboundaryand featurealignment fora small setof singularities.Themethodology takes intoaccount theproblem'sboundariesaswellaspointandcurvefeatureslikepointloadsandcreases.Oncethegeometryofthevaultisfound,itstillcouldbetessellatedforamasonryvault.Astraightforwardextension of the methodology has been developed to convert the force diagram into atessellation that guarantees a good alignment between the normal of the joints and the forcenetworklayoutgeneratedfortheform-findingprocess.
KeywordsStructuralpatterns,meshing,funicularshell,thrustnetwork,formfinding,masonryvault,tessellation.
References[1] BlockP.andOchsendorfJ.ThrustNetworkAnalysis:Anewmethodologyforthree-dimensionalequilibrium.Journalofthe
InternationalAssociationforShellandSpatialStructures2007(December).48(3):167-173.[2] RippmannM.andBlockP.InteractiveVaultDesign.InternationalJournalofSpaceStructures2012(December).27(4):219-
230.
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