Hierarchical form-finding with combinatorial equilibrium modelling
(2018) IASS Annual Symposium 2018 - “Creativity in Structural Design” — Location: Boston (USA) (16.July.2018)
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- Abstract
- The Combinatorial Equilibrium Modelling (CEM) is a structural design framework based on graphic statics and graph theory [5] that allows to control directly the topology and the combinatorial state (distribution of the internal tension and compression forces) of a structure in equilibrium. The current development of the research extends the capabilities of the CEM by enabling the use of hierarchical topological transformations. Together with complementary metric transformations [2] of the generated equilibrium states, a flexible and powerful framework for the design of structures is obtained. Generally, a spatial network in equilibrium can be decomposed into different interdependent nested subnetworks, which imply the presence of a hierarchical order of load-bearing behavior among the different parts of the structure (primary/secondary/tertiary structural systems). Through the CEM, each subnetwork can be conceived independently from the others, provided it respects the topological and metric conditions of the equilibrium at its boundary. The superposition of hierarchically dependent subnetworks eventually yields an overall structural system in equilibrium. As such, this approach not only allows the designer to control the global static behavior of a complex spatial network by form finding its primary structural network, but also to adapt its local behavior by modifying the hierarchically lower subnetworks. Through a case study, this paper describes a series of hierarchical topological transformations that can be applied within the CEM framework.
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Patrick Ole Ohlbrock, Pierluigi d’Acunto, & Jasienski, J.-P. (2018). Hierarchical form-finding with combinatorial equilibrium modelling. Proceedings of the IASS Annual Symposium 2018 - “Creativity in Structural Design”. Published. IASS Annual Symposium 2018 - “Creativity in Structural Design”, Boston (USA). https://hdl.handle.net/2078.5/171213 (Original work published 2018)