Programmable response of multi-stable origami-inspired metamaterial

The Kresling origami is known for its behaviour as a meta-structure with highly programmable response. However, much progress is still needed to exploit reliably its nonlinear mechanics to achieve functionality. The challenge lies in tracking and redesigning the equilibrium path, because of the degree of complexity that originates from bifurcation and snap-through behaviours as the number of units increases. In this case, our research mainly focuses on investigating the geometry and mechanics of origami-inspired Kresling pattern and proposes a strategy to define and tailor the response of the assembled structure. Firstly, the relationship between geometry and constitutive behaviour is obtained by replacing the creases of a typical folded Kresling with trusses. Subsequently, equilibrium paths can be tracked via the continuation and bifurcation algorithm. Our model establishes the strategy for controlling each unit’s design parameters, thereby achieving the target nonlinear equilibrium response characterised by complex path evolution.