Abstracts for IASS Annual Symposium 2017 Interfaces: architecture.engineering.science 25–28th September, 2017, Hamburg, Germany Annette Bögle, Manfred Grohmann (eds.) architecture . engineering . science IASS 2017 hamburg September 25th - 28th, 2017 Patterns for Masonry Vault Design Robin OVAL a,b *, Matthias RIPPMANN a , Tom VAN MELE a , Olivier BAVEREL b , Philippe BLOCK a *Navier MSA and Block Research Group, Stefano-Franscini-Platz 1, HIB E 45, 8093 Zurich, Switzerland, [email protected] a ETH Zurich, Institute of Technology in Architecture, Block Research Group, Switzerland b École Nationale des Ponts & Chaussées, Navier MSA, Paris Abstract This paper presents a methodology for a fully controlled pattern design scheme for funicular form finding, with extensions for automatic tessellation of masonry vaults. The user efficiently controls the pattern topology, singularities and density. Unreinforced masonry vaults work primarily under compression. The double curvature and high degree of hyperstaticity in these structures allow a wide range of solutions, even for a given set of boundary conditions. Thrust Network Analysis [1] implemented in RhinoVAULT [2], permits an interactive graphical exploration of the design space, based on form and force diagrams derived from graphic statics methods. The generation of patterns that permit an efficient exploration of possible force equilibriums is crucial to allow the designer to steer the form-finding process. This research proposes a fully controlled pattern design methodology to generate form diagrams that display a good boundary and feature alignment for a small set of singularities. The methodology takes into account the problem's boundaries as well as point and curve features like point loads and creases. Once the geometry of the vault is found, it still could be tessellated for a masonry vault. A straightforward extension of the methodology has been developed to convert the force diagram into a tessellation that guarantees a good alignment between the normal of the joints and the force network layout generated for the form-finding process. Keywords Structural patterns, meshing, funicular shell, thrust network, form finding, masonry vault, tessellation. References [1] Block P. and Ochsendorf J. Thrust Network Analysis: A new methodology for three-dimensional equilibrium. Journal of the International Association for Shell and Spatial Structures 2007 (December). 48 (3): 167-173. [2] Rippmann M. and Block P. Interactive Vault Design. International Journal of Space Structures 2012 (December). 27 (4): 219- 230.

Patterns for Masonry Vault Design - Block Research … for Masonry Vault Design Robin OVALa,b , Matthias RIPPMANNa, Tom VAN MELEa, Olivier BAVERELb, Philippe BLOCKa Navier MSA and

Download PDF Report

Upload
truonghanh
View
216
Download
0

Embed Size (px)

Citation preview

Page 1: Patterns for Masonry Vault Design - Block Research … for Masonry Vault Design Robin OVALa,b *, Matthias RIPPMANNa, Tom VAN MELEa, Olivier BAVERELb, Philippe BLOCKa *Navier MSA and

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.