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On the equilibrium of simplicial masonry structures

de Goes, Fernando and Alliez, Pierre and Owhadi, Houman and Desbrun, Mathieu (2013) On the equilibrium of simplicial masonry structures. ACM Transactions on Graphics, 32 (4). Art. No. 93. ISSN 0730-0301. https://resolver.caltech.edu/CaltechAUTHORS:20130829-153504635

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Abstract

We present a novel approach for the analysis and design of self-supporting simplicial masonry structures. A finite-dimensional formulation of their compressive stress field is derived, offering a new interpretation of thrust networks through numerical homogenization theory. We further leverage geometric properties of the resulting force diagram to identify a set of reduced coordinates characterizing the equilibrium of simplicial masonry. We finally derive computational form-finding tools that improve over previous work in efficiency, accuracy, and scalability.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1145/2461912.2461932 DOIArticle
http://dl.acm.org/citation.cfm?doid=2461912.2461932PublisherArticle
ORCID:
AuthorORCID
Owhadi, Houman0000-0002-5677-1600
Desbrun, Mathieu0000-0003-3424-6079
Additional Information:© 2013 ACM. Thanks to Etienne Vouga for early discussions and data, David Bommes for his IPOPT wrapper, and Keenan Crane for making the igloo model. Partial funding was provided by NSF grant CCF-1011944, ERC Starting Grant “Robust Geometry Processing” (257474), and gifts from Pixar Animations Studios and Walt Disney Animation Studios.
Funders:
Funding AgencyGrant Number
NSFCCF-1011944
European Research Council (ERC) Starting Grant "Robust Geometry Processing"257474
Pixar Animations StudiosUNSPECIFIED
Walt Disney Animation StudiosUNSPECIFIED
Subject Keywords:architectural geometry; discrete differential geometry; geometry processing; orthogonal reciprocal diagram
Issue or Number:4
Record Number:CaltechAUTHORS:20130829-153504635
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130829-153504635
Official Citation:de Goes, F., Alliez, P., Owhadi, H., Desbrun, M. 2013. On the Equilibrium of Simplicial Masonry Structures. ACM Trans. Graph. 32, 4, Article 93 (July 2013), 10 pages. DOI = 10.1145/2461912.2461932 http://doi.acm.org/10.1145/2461912.2461932
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41015
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:29 Aug 2013 23:04
Last Modified:03 Mar 2020 13:01

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