D. Rayneau-Kirkhope

Y. Mao

R. Farr

J. Segal

A systematic way to vary the power-law scaling relations between loading parameters and volume of material aids the hierarchical design process.

It has been demonstrated theoretically that under certain loading conditions hierarchical structures hold a distinct advantage in efficiency over more conventional designs. Here a particular hierarchical design is studied, and we show that the power-law scaling relations between loading parameters and volume of material required to make a stable structure can be varied systematically. Through computer simulation, we construct mechanism diagrams depicting likely failure modes for a given geometry, which give insight into the optimisation. Using rapid prototyping technologies, the same structure is fabricated and mechanical testing undertaken; the results are compared to theoretical and finite element models.

Hierarchical space frames for high mechanical efficiency: Fabrication and mechanical testing