Cymatics for the cloaking of flexural vibrations in a structured plate

Misseroni, D.; Colquitt, Daniel; Movchan, A. B.; Movchan, N. V.; Jones, I. S.

doi:10.1038/srep23929

Cited by 92 publications

(88 citation statements)

References 33 publications

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“…One of the other applications of these gradient lattice structures is in the design of gradient index materials with electromagnetic cloaking properties. 35,36 Reaching various stress distributions in different prototypes (Fig. 4) shows that these structures could react as optical filters.…”

confidence: 99%

Action-at-a-distance metamaterials: Distributed local actuation through far-field global forces

et al. 2018

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Mechanical metamaterials are a sub-category of designer materials where the geometry of the material at the small-scale is rationally designed to give rise to unusual properties and functionalities. Here, we propose the concept of “action-at-a-distance” metamaterials where a specific pattern of local deformation is programmed into the fabric of (cellular) materials. The desired pattern of local actuation could then be achieved simply through the application of one single global and far-field force. We proposed graded designs of auxetic and conventional unit cells with changing Poisson’s ratios as a way of making “action-at-a-distance” metamaterials. We explored five types of graded designs including linear, two types of radial gradients, checkered, and striped. Specimens were fabricated with indirect additive manufacturing and tested under compression, tension, and shear. Full-field strain maps measured with digital image correlation confirmed different patterns of local actuation under similar far-field strains. These materials have potential applications in soft (wearable) robotics and exosuits.

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confidence: 99%

Action-at-a-distance metamaterials: Distributed local actuation through far-field global forces

et al. 2018

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“…Published in Proceedings of the Royal Society A (2019), 475, 20190283 doi: 10.1098/rspa.2019.0283 the thickness ratio is 1.5 [26] and 0.5 [27] in the only few experimented cases, and in theoretical treatments 5, 1.6 [20], 1.17 [25], and 0.5 [21,35,18]. (iii.)…”

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confidence: 97%

“…Quantitative data on scattering reduction are usually not explicitly reported in elasticity [20,35,25,21,18,26]. A performance of 60% [27] and 55% [31] is reported for flexural waves.…”

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confidence: 99%

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Omnidirectional flexural invisibility of multiple interacting voids in vibrating elastic plates

2019

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In elasticity, the design of a cloaking for an inclusion or a void to leave a vibrational field unperturbed by its presence, so to achieve its invisibility, is a thoroughly analyzed, but still unchallenged, mechanical problem. The 'cloaking transformation' concept, originally developed in electromagnetism and optics, is not directly applicable to elastic waves, displaying a complex vectorial nature. Consequently, all examples of elastic cloaking presented so far involve complex design and thick coating skins. These cloakings often work only for problems of unidirectional propagation, within narrow ranges of frequency, and considering only one colaked object. Here, a new method based on the concept of reinforcement, achieved via elastic stiffening and mass redistribution, is introduced to cloak multiple voids in an elastic plate. This simple technique produces invisibility of the voids to flexural waves within an extremely broad range of frequencies and thus surpassing in many aspects all existing cloaking techniques. The proposed design principle is applicable in mechanical problems ranging from the micro-scale to the scale of civil engineering. For instance, our results show how to design a perforated load-bearing building wall, vibrating during an earthquake exactly as the same wall, but unperforated, a new finding for seismic protection.

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“…Invisible cloaks as ultimate applications have been realized for electromagnetic wave [3][4][5][6][7][8][9], flexural plate wave [10,11], and thermal flux [12,13] with contemporary metamaterial [14,15]. For acoustic cloak, meta-fluid with anisotropic density [16,17], impossible in natural fluid, is required by transformation approach.…”

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confidence: 99%

Broadband solid cloak for underwater acoustics

et al. 2017

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Application of transformation theory to underwater acoustics has been a challenging task because highly anisotropic density is unachievable in water. A possible strategy is to exploit anisotropic modulus rather than density, while has not been experimentally demonstrated. We present an annular underwater acoustic cloak designed from particular graded solid microstructures. The geometry tailored microstructures mimics meta-fluid with highly anisotropic modulus through substantially suppressed shear wave. Transient wave experiments are conducted with the cloak in a designed 2D underwater waveguide system and proved excellent cloaking performance for enclosed target over broadband frequency 9-15 kHz. This finding paves the way for controlling underwater acoustics using the structured anisotropic modulus meta-fluid.

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Cymatics for the cloaking of flexural vibrations in a structured plate

Cited by 92 publications

References 33 publications

Action-at-a-distance metamaterials: Distributed local actuation through far-field global forces

Action-at-a-distance metamaterials: Distributed local actuation through far-field global forces

Omnidirectional flexural invisibility of multiple interacting voids in vibrating elastic plates

Broadband solid cloak for underwater acoustics

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