4 papers
On weavings, grillages, tensegrities, and frameworks
Cameron Millar, Bernd Schulze, Louis Theran
We investigate the stability of discrete structures comprising of woven elastic beams in a plane, exposing a connection between admissible over / under patterns and the first-order…
Equilibrium stresses in frameworks via symmetric averaging
Cameron Millar, Bernd Schulze, Louis Theran
For a bar-joint framework , a subgroup of the automorphism group of , and a subgroup of the orthogonal group isomorphic to , we introduce a symmetric averaging map…
Homology of Moment Frames
Zoe Cooperband, Allan McRobie, Cameron Millar +1
Using homological techniques we show that a pin-anchored frame that involves only moments and shears provides a conceptual bridge between the statics of moment frames and the kinem…
Equivariant Cosheaves and Finite Group Representations in Graphic Statics
Zoe Cooperband, Miguel Lopez, Bernd Schulze
This work extends the theory of reciprocal diagrams in graphic statics to frameworks that are invariant under finite group actions by utilizing the homology and representation theo…