Solitary waves in bistable lattices with stiffness grading: Augmenting propagation control

Hwang, Myungwon; Arrieta, Andres F.

doi:10.1103/physreve.98.042205

Cited by 30 publications

(25 citation statements)

References 37 publications

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“…On the one hand, nonreciprocity for linear waves has been obtained either by imparting a rotation to the medium 23 or by introducing activated materials with time-modulated properties in space and time [24][25][26] to break time-reversal symmetry. On the other hand, nonreciprocity has also been demonstrated in passive media by harnessing nonlinear phenomena [27][28][29][30] . In particular, mechanical metamaterials with two or more stable equilibrium states have recently emerged as a powerful platform to realize nonreciprocity, as they support only unidirectional transition wave propagation when comprising an array of bistable building blocks with asymmetric energy wells 19,[31][32][33][34] .…”

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confidence: 99%

Programming nonreciprocity and reversibility in multistable mechanical metamaterials

2021

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Nonreciprocity can be passively achieved by harnessing material nonlinearities. In particular, networks of nonlinear bistable elements with asymmetric energy landscapes have recently been shown to support unidirectional transition waves. However, in these systems energy can be transferred only when the elements switch from the higher to the lower energy well, allowing for a one-time signal transmission. Here, we show that in a mechanical metamaterial comprising a 1D array of bistable arches nonreciprocity and reversibility can be independently programmed and are not mutually exclusive. By connecting shallow arches with symmetric energy wells and decreasing energy barriers, we design a reversible mechanical diode that can sustain multiple signal transmissions. Further, by alternating arches with symmetric and asymmetric energy landscapes we realize a nonreciprocal chain that enables propagation of different transition waves in opposite directions.

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confidence: 99%

Programming nonreciprocity and reversibility in multistable mechanical metamaterials

2021

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“…By providing local energy minima in the structural configuration space, such bistable elements allow metamaterials to carry mechanical loads, locally store elastic energy in the structure and/or generate multiple stable reconfigurable geometries. [16,17] These functionalities have been harnessed to design deployable structures, [18,19] impact absorbers, [20][21][22] robotic actuators, [23,24] energy harvesting, [25,26] and micromechanical systems, [27,28] waveguiding systems, [29][30][31] memory [32,33] and logic devices, [34][35][36][37] and morphing elements in architecture. In particular, multistability in metamaterials allows for programming both static and dynamic properties, such as stiffness adaptation, [6,38] tunable bandgaps, [39,40] and quantum valley Hall effect.…”

Section: Introductionmentioning

confidence: 99%

Dome‐Patterned Metamaterial Sheets

et al. 2020

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The properties of conventional materials result from the arrangement of and the interaction between atoms at the nanoscale. Metamaterials have shifted this paradigm by offering property control through structural design at the mesoscale, thus broadening the design space beyond the limits of traditional materials. A family of mechanical metamaterials consisting of soft sheets featuring a patterned array of reconfigurable bistable domes is reported here. The domes in this metamaterial architecture can be reversibly inverted at the local scale to generate programmable multistable shapes and tunable mechanical responses at the global scale. By 3D printing a robotic gripper with energy-storing skin and a structure that can memorize and compute spatially-distributed mechanical signals, it is shown that these metamaterials are an attractive platform for novel mechanologic concepts and open new design opportunities for structures used in robotics, architecture, and biomedical applications.

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“…Mechanical metamaterials are artificially constructed and have mechanical properties defined by their structure [1]. Simple metamaterials consist of a one-, two-or three-dimensional array of elements connected by links [1][2][3] that may be elastic [4][5][6][7], magnetic [8,9] or electrostatic [4]. Mechanical metamaterials are highly tuneable [10][11][12] and by altering the 2019 The Author(s) Published by the Royal Society.…”

Section: Introductionmentioning

confidence: 99%

“…There are many recent studies that experimentally realize simple mechanical metamaterials [6,14,[16][17][18][19]]. An advantage of these designs is that they are often well suited to using three-dimensional printing technology [3,5,16,18,20]; however, a common theme among existing metamaterials is that they generally require an external source of energy to be provided in order to power their functions [5,21]. Many existing technologies can be thought of as static or inactive in the sense that they are limited by a fixed initial energy state, and are only able to respond to a finite number of stimuli before the manual introduction of external energy.…”

Section: Introductionmentioning

confidence: 99%

Reversible signal transmission in an active mechanical metamaterial

2019

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Mechanical metamaterials are designed to enable unique functionalities, but are typically limited by an initial energy state and require an independent energy input to function repeatedly. Our study introduces a theoretical active mechanical metamaterial that incorporates a biological reaction mechanism to overcome this key limitation of passive metamaterials. Our material allows for reversible mechanical signal transmission, where energy is reintroduced by the biologically motivated reaction mechanism. By analysing a coarse grained continuous analogue of the discrete model, we find that signals can be propagated through the material by a travelling wave. Analysis of the continuum model provides the region of the parameter space that allows signal transmission, and reveals similarities with the well-known FitzHugh-Nagumo system. We also find explicit formulae that approximate the effect of the timescale of the reaction mechanism on the signal transmission speed, which is essential for controlling the material.

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Solitary waves in bistable lattices with stiffness grading: Augmenting propagation control

Cited by 30 publications

References 37 publications

Programming nonreciprocity and reversibility in multistable mechanical metamaterials

Programming nonreciprocity and reversibility in multistable mechanical metamaterials

Dome‐Patterned Metamaterial Sheets

Reversible signal transmission in an active mechanical metamaterial

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