Toward Seismic Metamaterials: The METAFORET Project

Roux, Philippe; Bindi, Dino; Boxberger, Tobias; Colombi, Andrea; Cotton, Fabrice; Douste‐Bacqué, Isabelle; Garambois, Stéphane; Guéguen, Philippe; Hillers, Gregor; Hollis, Dan; Lecocq, Thomas; Pondaven, Ildut

doi:10.1785/0220170196

Cited by 48 publications

(35 citation statements)

References 36 publications

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“…Recently this hyperbolicelliptic model was applied to a resonant array of rods attached to a half-space [37]; these rods were assumed to undergo only longitudinal vibrations as was the case in previous analytical [23] and numerical [22] studies. However recent experimental data obtained for a dense forest of pine trees, acting as subwavelength resonators, suggests that the flexural resonances as well as the junction conditions [38] may play an important role; yet, little attention has thus far been given to the junction condition joining the resonators to the substrate.…”

Section: Introductionmentioning

confidence: 99%

An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces

2019

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We consider a periodic array of resonators, formed from Euler-Bernoulli beams, attached to the surface of an elastic half-space. Earlier studies of such systems have concentrated on compressional resonators. In this paper we consider the effect of the flexural motion of the resonators, adapting a recently established asymptotic methodology that leads to an explicit scalar hyperbolic equation governing the propagation of Rayleigh-like waves. Compared with classical approaches, the asymptotic model yields a significantly simpler dispersion relation, with closed form solutions, shown to be accurate for surface wave-speeds close to that of the Rayleigh wave. Special attention is devoted to the effect of various junction conditions joining the beams to the elastic half-space which arise from considering flexural motion and are not present for the case of purely compressional resonators. Such effects are shown to provide significant and interesting features and, in particular, the choice of junction conditions dramatically changes the distribution and sizes of stop bands. Given that flexural vibrations in thin beams are excited more readily than compressional modes and the ability to model elastic surface waves using the scalar wave equation (i.e. waves on a membrane), the paper provides new pathways toward novel experimental set-ups for elastic metasurfaces. arXiv:1904.07690v2 [physics.class-ph]

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Section: Introductionmentioning

confidence: 99%

An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces

2019

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“…The study of primary microseism generation, specifically in the North Sea, has recently been addressed (Juretzek and Hadziioannou, 2017;Becker et al, 2019) and should soon provide new modeling theories to compare with our results. The local wind field around UCC, also known as a source of seismic noise, for example, by its interaction with trees, can be ruled out, as most of the seismic energy radiated is at the first mode of resonance of trees, around a 1 to 5 s maximum (Roux et al, 2018), while higher modes occur at much higher frequency.…”

Section: Discussionmentioning

confidence: 99%

On the Extraction of Microseismic Ground Motion from Analog Seismograms for the Validation of Ocean-Climate Models

Lecocq

Ardhuin

Collin

et al. 2020

Seismological Research Letters

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We report on a pilot demonstration of the usefulness of analog seismograms to improve the database of ocean storms before the 1980s by providing additional data for the quantitative validation of ocean wave modeling, in particular for extreme events. We present a method for automatic digitization of paper seismograms to extract microseismic ground-motion periods and amplitudes. Each minute of the original paper records is scanned and vectorized. The amplitudes are calibrated based on the original metadata taken from official bulletins. The digitized time series is processed to extract power spectral densities, which are compared with modeled microseisms levels computed using a numerical ocean wave model. As a case study, we focus on one month of data recorded at the Royal Observatory of Belgium (ROB) from January to February 1953, around the “Big Flood” event, a tragic storm surge that flooded the lowlands of England, the Netherlands, and Belgium on 1 February 1953. The reconstructed spectrograms for the three components of ground motion show clear storm signatures that we relate to specific sources in the North Atlantic Ocean. However, our models of the Big Flood event based on these data do not result in the expected amplitudes as modeled compared to the observational data when the storm reached its maximum in the southern North Sea. We suggest that the source of microseisms recorded at ROB is related to the primary microseism generated in the North Sea, at periods of 7–8 s. Other discrepancies identified suggest small modifications of the source locations or energy. Reconstructed horizontal and vertical ground motions are coherent. This is a good news for the purpose of present-day analyses of constructing twentieth century ocean-climate models, especially as during much of that time only horizontal seismographs were installed at observatories.

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“…5 graphically illustrates the predictions of Eqn. (11) for different values of ψ and θ, assuming δ = 1%. Such value of the drift ratio corresponds to an average value of the thresholds dictated by the international standards for the seismic design of buildings, in order to avoid structural collapse (refer, e.g., to Eurocode 8 [54]).…”

Section: Use Of Smad Braces In Anti-seismic Structuresmentioning

confidence: 99%

Mechanical modeling of superelastic tensegrity braces for earthquake-proof structures

Santos

2019

Extreme Mechanics Letters

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Toward Seismic Metamaterials: The METAFORET Project

Cited by 48 publications

References 36 publications

An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces

An asymptotic hyperbolic–elliptic model for flexural-seismic metasurfaces

On the Extraction of Microseismic Ground Motion from Analog Seismograms for the Validation of Ocean-Climate Models

Mechanical modeling of superelastic tensegrity braces for earthquake-proof structures

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