One Dimensional Mechanical Memory with Cylindrical Origami
2021
While memory effects emerge from systems of wildly varying length- and
time-scales, the reduction of a complex system with many interacting elements
into one simple enough to be understood without also losing the complex
behavior continues to be a challenge. Here, we investigate how bistable
cylindrical origamis provide such a reduction via tunably-interactive, memory
behaviors. We base our investigation on folded sheets of Kresling patterns that
function as two-state memory units. By linking several units, each with a
selected activation energy, we construct a one-dimensional material which
nonetheless exhibits return-point memory. After a comprehensive experimental
analysis of the relation between the geometry of the pattern and the mechanical
response for a single bit, we study the memory of a bellows composed of 4 bits
arranged in series. When these bits are decoupled, the system reduces to the
Preisach model and we can drive the bellows to any of its 16 allowable states
by following a prescribed sequence of compression and extension. Moreover, we
show how to reasonably discriminate between states by measuring the system's
total height and stiffness near equilibrium. In bellows with coupled bits, the
interactions alter the energy landscape and enable geometrically-disallowed
stable configurations; this produces a 64-state configuration space with a more
complex pattern of transitions. Using empirical considerations of the
mechanics, we analyze the hierarchical structure of the corresponding diagram,
which includes Garden of Eden states and subgraphs reminiscent of the memory
behavior observed with more complex glassy systems.
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