302 citations · 507 across the 14 of their papers we have counts for
4 papers · 1 filter
Optimisation of fractal spaceframes under gentle compressive load
Daniel Rayneau-Kirkhope, Yong Mao, Robert Farr
The principle of hierarchical design is a prominent theme in many natural systems where mechanical efficiency is of importance. Here we establish the properties of a particular hie…
Bifurcations in the optimal elastic foundation for a buckling column
Daniel Rayneau-Kirkhope, Robert Farr, K. Ding +1
We investigate the buckling under compression of a slender beam with a distributed lateral elastic support, for which there is an associated cost. For a given cost, we study the op…
Fractal design for an efficient shell strut under gentle compressive loading
R. S. Farr
Because of Euler buckling, a simple strut of length and Young modulus requires a volume of material proportional to in order to support a compressive force $F…
Fractal design for efficient brittle plates under gentle pressure loading
R. S. Farr
We consider a plate made from an isotropic but brittle elastic material, which is used to span a rigid aperture, across which a small pressure difference is applied. The problem we…