Extreme Frequency Conversion from Soliton Resonant Interactions

Hwang, Myungwon; Arrieta, Andres F.

doi:10.1103/physrevlett.126.073902

Cited by 13 publications

(5 citation statements)

References 29 publications

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“…When the input frequency becomes very high such that propagating and newly generated transition waves interact, the snap-through transitions away from the excitation site occur at random rates [44] as shown in the example response under an input frequency of 0.02 (figure 4(c)). Especially when the transition wave generation is delayed for a long period, the bistable lattice sectionally behaves like a linear system; thus, the induced phonons are perturbed by other kinds of waves, such as local reflections, pinned transition waves, and their interactions.…”

Section: Induced Phonons Under Harmonic Excitationsmentioning

confidence: 99%

“…Hence, practical implementation of motion-based energy harvesting for low-frequency and ultimately broadband applications calls for a fundamentally different dynamic mechanism that is not strongly governed by the input frequency. Recently, a phenomenon enabling energy exchange from a source (input) to a desired (output) frequencies has been established, leveraging the input-independent response of metamaterials sustaining transition waves [43,44]. This type of solitary wave is triggered when an amplitude threshold is reached, regardless of the input nature, propagating unperturbed as quasi-particles through the metamaterial's constitutive lattice.…”

Section: Introductionmentioning

confidence: 99%

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Topological wave energy harvesting in bistable lattices

Hwang

Arrieta

2021

Smart Mater. Struct.

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In this paper, we present an input-independent energy harvesting mechanism exploiting topological solitary waves. This class of medium transforming solitons, or transition waves, entails energy radiation in the form of trailing phonons in discrete bistable lattices. We observe numerically and experimentally that the most dominant frequencies of these phonons are invariant to the input excitations as long as transition waves are generated. The phonon energy at each unit cell is clustered around a single invariant frequency, enabling input-independent resonant harvesting with conventional energy transduction mechanisms. The presented mechanism fundamentally breaks the link between the unit cell size and the metamaterial’s operating frequencies, offering a broadband solution to energy harvesting that is particularly robust for low-frequency input sources. We further investigate the effect of lattice discreteness on the energy harvesting potential, observing two performance gaps and a topological wave harvesting pass band where the potential for energy conversion increases almost monotonically. The observed frequency-invariant phonons are intrinsic to the discrete bistable lattices, enabling broadband energy harvesting to be an inherent metamaterial property.

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Section: Induced Phonons Under Harmonic Excitationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topological wave energy harvesting in bistable lattices

Hwang

Arrieta

2021

Smart Mater. Struct.

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“…To this end, negative stiffness phenomena are very promising for vibration isolation and can be generated by harnessing geometric nonlinearities. In this direction, Hwang et al [40] study the dynamic behavior of a metabeam design with bistable asymmetric elements. Al-Shudeifat and Chen et al [41,42] investigate the effects of nonlinear energy sinks with a negative stiffness element, showing promising results.…”

Section: Introductionmentioning

confidence: 99%

Computational Verification and Experimental Validation of the Vibration-Attenuation Properties of a Geometrically Nonlinear Metamaterial Design

et al. 2022

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To prevent the severe effects of earthquake on built systems, structural engineering pursues attenuation of vibrations on structures. A recently surfaced means to structural vibration mitigation exploits the concept of metamaterials, i.e., of configurations able to control wave propagation in specific frequency ranges, termed band gaps. The current study harnesses the potency of a geometrically nonlinear unit-cell design, which can develop negative stiffness, and explores the vibration-attenuation capabilities of the resulting metamaterial device. An analytical approach is followed to calculate the expected attenuation zone, as well as for calculating the dependence on the amplitude of the input, a hallmark of the nonlinear behavior. For the purpose of validation of a proof-of-concept system, dynamic tests are performed on a scaled model assembled using LEGO components. Besides showing that such a nonlinear system can be easily constructed, these tests illustrate the potential of this nonlinear design for vibration reduction within the targeted band-gap frequency zones and the protection that it can offer to a primary system. Finally, numerical analyses are used to verify the analytical calculations of the dispersion relation and are additionally compared to the experimental results, evaluating the incorporated modeling assumptions. The possibility to lower the band gap in the typical seismic engineering frequency range and to maintain a broadband attenuation at low frequency show that negative stiffness may enhance the performance of metamaterials for seismic protection.

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“…As such, it mimics the slow sequential folding observed in biological systems, e.g., Mimosa Pudica. We finally demonstrate that diffusive kinks can be harnessed for basic machine-like functionalities, such as sensing, dynamic shape morphing, transport and manipulation of objects.Kinks are met across a wide range of scales in materials science, from ferro-electrics and shape-memory alloys undergoing phase transitions 1-3 to flexible metamaterials undergoing mechanical instabilities [3][4][5][6][7][8][9] . Such metamaterials are typically made of beams in series 10,11 , kirigami 12 , hinged mechanisms 13 and inflatable structures 14 .…”

mentioning

confidence: 99%

“…Kinks are met across a wide range of scales in materials science, from ferro-electrics and shape-memory alloys undergoing phase transitions 1-3 to flexible metamaterials undergoing mechanical instabilities [3][4][5][6][7][8][9] . Such metamaterials are typically made of beams in series 10,11 , kirigami 12 , hinged mechanisms 13 and inflatable structures 14 .…”

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confidence: 99%

Diffusive kinks turn kirigami into machines

Janbaz,

Coulais

2024

Nat Commun

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Kinks define boundaries between distinct configurations of a material. In the context of mechanical metamaterials, kinks have recently been shown to underpin logic, shape-changing and locomotion functionalities. So far such kinks propagate by virtue of inertia or of an external load. Here, we discover the emergence of propagating kinks in purely dissipative kirigami. To this end, we create kirigami that shape-change into different textures depending on how fast they are stretched. We find that if we stretch fast and wait, the viscoelastic kirigami can eventually snap from one texture to another. Crucially, such a snapping instability occurs in a sequence and a propagating diffusive kink emerges. As such, it mimics the slow sequential folding observed in biological systems, e.g., Mimosa Pudica. We finally demonstrate that diffusive kinks can be harnessed for basic machine-like functionalities, such as sensing, dynamic shape morphing, transport and manipulation of objects.

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Extreme Frequency Conversion from Soliton Resonant Interactions

Cited by 13 publications

References 29 publications

Topological wave energy harvesting in bistable lattices

Topological wave energy harvesting in bistable lattices

Computational Verification and Experimental Validation of the Vibration-Attenuation Properties of a Geometrically Nonlinear Metamaterial Design

Diffusive kinks turn kirigami into machines

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