Multi-stability and bifurcations of thin bands

Abstract eng:
Thin band- or strip-like structures are common motifs in flexible and deployable systems [1], serving as integrated connectors [2], hinges, and umbilicals. We experimentally investigate a simple configuration representing the above type, a thin elastic band with end constraints on position and orientation. These constraints correspond to a combination of compression and shear with respect to a flat rectangular rest configuration. We vary the aspect ratio of the band, and the position and clamping angle at its ends. The buckled structure remains developable up to limiting deformations that approach one of two types of state, each dominated by two singularities. At intermediate deformations, the structure may adopt many distinct stable states. Transitions between these states can be smooth or violent, and depend strongly on constraints such as the clamping angle.

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