Based on TNA, I implemented together with Philippe Block a grasshopper definition for the generation of structural freeform vaults. The image shows a structural surface with an non-uniform force distribution. This work is part of a resarch project done at the ETH Zurich.
This model of a compression-only vault has been build using rapid prototyping. It stands just by gravity and friction.
Implementation-wise the matrix computation routines from rhino SDK have been used inside grasshopper vb.net nodes. Download the grasshopper definition here. A tutorial video shows the use of the definition.
Thrust Network Analysis, a new method for generating compression-only vaulted surfaces and networks was developed by Philippe Block as part of his PhD.Using projective geometry, duality theory and linear optimization, it provides a graphical and intuitive method, adopting the same advantages of techniques such as graphic statics, but offering a viable extension to fully three-dimensional problems.
Form and force diagram, and the resulting compression only network.
Parametric explorations of the indeterminacy of compression-only networks by the modification of the force diagram.
On this blog I documented some of my findings, ideas, and projects from the years 2009-2013. Its a private and non-commercial website, and the content isn´t updated any more, so please forgive broken links and outdated information. I keep it as a personal archive.