Material-minimizing forms and structures
| Autor: | Martin Kilian, Davide Pellis, Johannes Wallner, Helmut Pottmann |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Class (computer programming)
Mathematical optimization Bending (metalworking) Computer science Work (physics) 020207 software engineering 02 engineering and technology Bending Curvature Computer Graphics and Computer-Aided Design Architectural geometry 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Architecture Statics |
| Zdroj: | ACM Transactions on Graphics. 36:1-12 |
| ISSN: | 1557-7368 0730-0301 |
| DOI: | 10.1145/3130800.3130827 |
| Popis: | Three-dimensional structures in building construction and architecture are realized with conflicting goals in mind: engineering considerations and financial constraints easily are at odds with creative aims. It would therefore be very beneficial if optimization and side conditions involving statics and geometry could play a role already in early stages of design, and could be incorporated in design tools in an unobtrusive and interactive way. This paper, which is concerned with a prominent class of structures, is a substantial step towards this goal. We combine the classical work of Maxwell, Michell, and Airy with differential-geometric considerations and obtain a geometric understanding of "optimality" of surface-like lightweight structures. It turns out that total absolute curvature plays an important role. We enable the modeling of structures of minimal weight which in addition have properties relevant for building construction and design, like planar panels, dominance of axial forces over bending, and geometric alignment constraints. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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