Abstract
This study investigates a computational design approach to generate volumetric decompositions of given, arbitrary, three-dimensional shapes into self supporting, discrete-element assemblies. These assemblies are structures formed by individual units that remain in equilibrium solely as a result of compressive and frictional contact forces between the elements. This paper presents a prototypical implementation of a decomposition tool into a CAD software, focusing on user-controlled design to generate such assemblies. The implementation provides an interactive design environment including real time visual feedback, in which the design space of self-supporting block assemblies can be explored and expanded. Some surprising results of such explorations are included and discussed.
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References
Bächer M, Whiting E, Bickel B, Sorkine-Hornung O (2014) Spin-it: optimizing moment of inertia for spinnable objects. ACM Trans Graph 33(4):96:1–96:10
Bullet-Physics-Libary (Copyright (c) 2012) Bullet collision detection and physics library. http://bulletphysics.org
Deuss M, Panozzo D, Whiting E, Liu Y, Block P, Hornung-Sorkine O, Pauly M (2014) Assembling self-supporting structures. ACM Trans Graph 33(6):214:1–214:10
Eigensatz M, Kilian M, Schiftner A, Mitra NJ, Pottmann H, Pauly M (2010) Paneling architectural freeform surfaces. ACM Trans Graph 29(4):45:1–45:10
Grasshopper (Copyright 2009) Grasshopper—algorithmic modeling for rhino version 27 August 2014. http://www.grasshopper3d.com
Höweler E, Yoon JM, Ochsendorf J, Block P, DeJong M (2014) Material computation—the collier memorial design using analog and digital tools. In: Gerber DJ, Ibaez M (eds) Paradigms in computing—making, machines and models for design agency in architecture, chapter 0. eVolo Press, Los Angeles
Hu R, Li H, Zhang H, Cohen-Or D (2014) Approximate pyramidal shape decomposition. ACM Trans Graph 33(6):213:1–213:12
Livesley RK (1978) Limit analysis of structures formed from rigid blocks. Int J Numer Meth Eng 12:1853–1871
Livesley RK (1992) A computational model for the limit analysis of threedimensional masonry structures. Meccanica, 27(3):161–172. Nvidia-PhysX (Copyright 2013)
Nvidia physx library (2013). http://www.nvidia.com/object/physx-9.12.0213-driver.html
Panozzo D, Block P, Sorkine-Hornung O (2013) Designing unreinforced masonry models. ACM Trans Graph 32(4):91:1–91:12
Pottmann H, Schiftner A, Bo P, Schmiedhofer H, Wang W, Baldassini N, Wallner J (2008) Freeform surfaces from single curved panels. ACM Trans Graph 27(3):76:1–76:10
Python (Copyright 2001–2015) Python programming language. https://www.python.org
Rhinoceros (Copyright 1993–2014) Rhinoceros modeling tools for designers, version 5. https://www.rhino3d.com
Rippmann M, Curry J, Escobedo D, Block P (2013) Optimising stonecutting strategies for freeform masonry vaults. In: Proceedings of the international association for shell and spatial structures (IASS) symposium 2013. Wroclaw, Poland
Van Mele T, McInerney J, DeJong M, Block P (2012) Physical and computational discrete modeling of masonry vault collapse. In: Proceedings of the 8th international conference on structural analysis of historical constructions. Wroclaw, Poland
Whiting E, Ochsendorf J, Durand F (2009) Procedural modeling of structurally-sound masonry buildings. ACM Trans Graph 28(5):112
Whiting E, Shin H, Wang R, Ochsendorf J, Durand F (2012) Structural optimization of 3d masonry buildings. ACM Trans Graph 31(6):159:1–159:11
Whiting EJW (2012) Design of structurally-sound masonry buildings using 3d static analysis. PhD thesis, Department of Architecture, Massachusetts Institute of Technology
Acknowledgments
This research was supported by the NCCR Digital Fabrication, funded by the Swiss National Science Foundation (NCCR Digital Fabrication Agreement # 51NF40-141853).
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Frick, U., Mele, T.V., Block, P. (2015). Decomposing Three-Dimensional Shapes into Self-supporting, Discrete-Element Assemblies. In: Thomsen, M., Tamke, M., Gengnagel, C., Faircloth, B., Scheurer, F. (eds) Modelling Behaviour. Springer, Cham. https://doi.org/10.1007/978-3-319-24208-8_16
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DOI: https://doi.org/10.1007/978-3-319-24208-8_16
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