5. 9637 - Patterns for Masonry Vault Design - Robin Oval. Block Research Group, Beyond the Dome, Venice Biennale 2016 ...
Patterns for Masonry Vault Design IASS Annual Symposium 2017 in Hamburg Robin Oval ¹ ² Dr. Matthias Rippmann ², Dr. Tom Van Mele ², Prof. Dr. Olivier Baverel ¹, Prof. Dr. Philippe Block ² ¹ Navier, UMR 8205, École Nationale des Ponts & Chaussées, IFSTTAR, CNRS, UPE, Champs-sur-Marne, France ² Block Research Group, Institute of Technology in Architecture, ETH Zurich, Switzerland
Motivation Algorithm Case study Outlook
9637 - Patterns for Masonry Vault Design - Robin Oval
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Motivation Algorithm Case study Outlook
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Patterns in funicular form finding
Linkwitz and Schek, Force Density Method, 1971
Barnes, Dynamic Relaxation, 1975
Block and Ochsendorf, Thrust Network Analysis, 2009
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Block Research Group, Beyond the Dome, Venice Biennale 2016
9637 - Patterns for Masonry Vault Design - Robin Oval
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Dealing with complex boundaries
Davis et al., Innovative Funicular Tile Vaulting, 2012
Rippmann and Block, Rethinking Structural Masonry, 2013
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How to start designing a pattern?
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How to start designing a pattern?
As a quad mesh.
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How to start designing a pattern?
As a structured quad mesh.
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How to start designing a pattern?
As a feature-preserving structured quad mesh.
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Poles in patterns
(a)
Pier Luigi Nervi, Palace of Labor, Turin, 1961
(b)
Hans-Dieter Hecker, Lecture room of the
(a)
(b)
(c)
(d)
Zoology Institute of the University of Freiburg, 1968 (c)
Pier Luigi Nervi, Gatti Wool Factory, 1951
(d)
Block Research Group, HiLo NEST, 2018
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Point and curve features
Point and curve features as: ●
Geometrical discontinuities (peaks and folds) or;
●
Mechanical discontinuities (concentrated loads and supports).
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Motivation Algorithm Case study Outlook
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Approach
1.
Topology: block decomposition
2.
Density: meshing
3.
Geometry: smoothing
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Core method
(a) Inputs
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Core method
(a) Inputs
(b) Delaunay triangulation
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Core method
(a) Inputs
(b) Delaunay triangulation
(c) Medial axis
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Core method
(a) Inputs
(b) Delaunay triangulation
(c) Medial axis
9637 - Patterns for Masonry Vault Design - Robin Oval
(d) Pruning
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Core method
(a) Inputs
(b) Delaunay triangulation
(c) Medial axis
(d) Pruning
(e) Grafting 9637 - Patterns for Masonry Vault Design - Robin Oval
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Core method
(a) Inputs
(b) Delaunay triangulation
(e) Grafting
(b) Block decomposition
(c) Medial axis
9637 - Patterns for Masonry Vault Design - Robin Oval
(d) Pruning
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Core method
(a) Inputs
(b) Delaunay triangulation
(c) Medial axis
(e) Grafting
(b) Block decomposition
(c) Patching
9637 - Patterns for Masonry Vault Design - Robin Oval
(d) Pruning
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Core method
(a) Inputs
(b) Delaunay triangulation
(c) Medial axis
(d) Pruning
(e) Grafting
(b) Block decomposition
(c) Patching
(d) Smoothing
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Additional features Inner point features
(a) Medial axis
(b) Blocks
(c) Mesh
9637 - Patterns for Masonry Vault Design - Robin Oval
(d) Smooth mesh
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Additional features Corner point features
(a) Medial axis
(b) Blocks
(c) Mesh
9637 - Patterns for Masonry Vault Design - Robin Oval
(d) Smooth mesh
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Additional features Curve features
(a) Medial axis
(b) Blocks
(c) Mesh
9637 - Patterns for Masonry Vault Design - Robin Oval
(d) Smooth mesh
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Motivation Algorithm Case study Outlook
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Case study: the Armadillo Vault Block Research Group, Beyond Bending, Venice Biennale 2016
9637 - Patterns for Masonry Vault Design - Robin Oval
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The Armadillo Vault Force pattern design
(a) Inputs
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The Armadillo Vault Force pattern design
(a) Inputs
(b) Medial axis
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The Armadillo Vault Force pattern design
(a) Inputs
(b) Medial axis
(c) Blocks
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The Armadillo Vault Force pattern design
(a) Inputs
(b) Medial axis
(c) Blocks
9637 - Patterns for Masonry Vault Design - Robin Oval
(d) Mesh
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The Armadillo Vault Comparison with original design
(a) Medial-axis-based pattern
(b) Original pattern
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The Armadillo Vault Form and force diagrams
(a) Form diagram
(b) Force diagram
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The Armadillo Vault Structural pattern conversion
(a) Thrust network
(b) Tessellation
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The Armadillo Vault Force and structural patterns
(a) Form found vault
(b) Tessellated vault
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Benchmarking
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Motivation Algorithm Case study Outlook
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Entering design through structure
Bagnéris et al., Conceptual scheme, 2008
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Thank you for your attention! Questions?
