1CS CALTECH - Computer Science Department (Computer Science Department California Institute of Technology 1200 E. California Boulevard MC 256-80 Pasadena, CA 91125 USA - United States)
Abstract : We present a novel approach for the analysis and design of selfsupporting 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.
https://hal.inria.fr/hal-00826280
Contributor : Pierre Alliez
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Submitted on : Monday, May 27, 2013 - 4:28:44 PM
Last modification on : Thursday, September 19, 2019 - 1:18:54 AM
Long-term archiving on : Wednesday, August 28, 2013 - 4:11:25 AM
Fernando de Goes, Pierre Alliez, Houman Owhadi, Mathieu Desbrun. On the Equilibrium of Simplicial Masonry Structures. ACM Transactions on Graphics, Association for Computing Machinery, 2013, Proceedings of SIGGRAPH, 32 (4). ⟨hal-00826280⟩
