Seismic waves damping with arrays of inertial resonators

Achaoui, Younes; Ungureanu, Bogdan; Enoch, Stefan; Brûlé, Stéphane; Guenneau, Sébastien

doi:10.1016/j.eml.2016.02.004

Cited by 114 publications

(111 citation statements)

References 34 publications

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“…The effectiveness of the proposed solution in the low frequency range is in line with the results presented by Achaoui et al (2016), who proposed iron spherical resonators endowed with ligaments embedded in soil. However, the actual feasibility of their interesting design proposal has yet to be investigated.…”

Section: Unit Cell Design Of the Original Smart Foundationsupporting

confidence: 73%

“…Furthermore, they found good agreement between experimental tests and dispersion analysis. The work by Achaoui et al (2016) provides additional insight on filtering waves propagating through a foundation made of inertial resonators. The recent work by Carta et al (2016) has addressed the suppression of vibrations in fuel tanks via specially tuned systems of many multiscale resonators attached to the tanks.…”

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confidence: 99%

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Conception of a 3D Metamaterial-Based Foundation for Static and Seismic Protection of Fuel Storage Tanks

et al. 2017

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Fluid-filled tanks in tank farms of industrial plants can experience severe damage and trigger cascading effects in neighboring tanks due to large vibrations induced by strong earthquakes. In order to reduce these tank vibrations, we have explored an innovative type of foundation based on metamaterial concepts. Metamaterials are generally regarded as manmade structures that exhibit unusual responses not readily observed in natural materials. If properly designed, they are able to stop or attenuate wave propagation. Recent studies have shown that if locally resonant structures are periodically placed in a matrix material, the resulting metamaterial forms a phononic lattice that creates a stop band able to forbid elastic wave propagation within a selected band gap frequency range. Conventional phononic lattice structures need huge unit cells for low-frequency vibration shielding, while locally resonant metamaterials can rely on lattice constants much smaller than the longitudinal wavelengths of propagating waves. Along this line, we have investigated 3D structured foundations with effective attenuation zones conceived as vibration isolation systems for storage tanks. In particular, the three-component periodic foundation cell has been developed using two common construction materials, namely concrete and rubber. Relevant frequency band gaps, computed using the Floquet-Bloch theorem, have been found to be wide and in the low-frequency region. Based on the designed unit cell, a finite foundation has been conceived, checked under static loads and numerically tested on its wave attenuation properties. Then, by means of a parametric study we found a favorable correlation between the shear stiffness of foundation walls and wave attenuation. On this basis, to show the potential improvements of this foundation, we investigated an optimized design by means of analytical models and numerical analyses. In addition, we investigated the influence of cracks in the matrix material on the elastic wave propagation, and by comparing the dispersion curves of the cracked and uncracked materials we found that small cracks have a negligible influence on dispersive properties. Finally, harmonic analysis results displayed that the conceived smart foundations can effectively isolate storage tanks.

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Section: Unit Cell Design Of the Original Smart Foundationsupporting

confidence: 73%

mentioning

confidence: 99%

Conception of a 3D Metamaterial-Based Foundation for Static and Seismic Protection of Fuel Storage Tanks

et al. 2017

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“…Another way to act on the seismic signal is to investigate the effects of a 3D grid of specifically tuned resonators in the soil [1,30,31]. For instance, these resonators could be spheres connected to a bulk of material via ligaments and moving freely within a surrounding air cavity [1].…”

Section: From Urbanism To Metamaterialsmentioning

confidence: 99%

“…For instance, these resonators could be spheres connected to a bulk of material via ligaments and moving freely within a surrounding air cavity [1]. The objective is to obtain stop bands for seismic waves aiming to avoid resonance of the soil with the main vibration modes of the buildings.…”

Section: From Urbanism To Metamaterialsmentioning

confidence: 99%

Metamaterial-like transformed urbanism

Brûlé

Ungureanu

Achaoui

et al. 2017

Innov. Infrastruct. Solut.

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Viewed from the sky, the urban fabric pattern appears similar to the geometry of structured devices called metamaterials; these were developed by Physicists to interact with waves that have wavelengths in the range from nanometers to meters (from electromagnetic to seismic metamaterials). Visionary research in the late 1980s based on the interaction of big cities with seismic signals and more recent studies on seismic metamaterials, made of holes or vertical inclusions in the soil, has generated interest in exploring the multiple interaction effects of seismic waves in the ground and the local resonances of both buried pillars and buildings. Here, we use techniques from transformational optics and theoretically validate, by numerical experiments, that a district of buildings could be considered as a set of above-ground resonators, purely elastic, interacting with an incident seismic signal. We hope that our proposal will contribute to all theoretical and experimental efforts in design of cities of the future, from a metamaterial standpoint.

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“…The feasibilities and effectiveness of one‐dimensional periodic layered foundation, and 2‐dimensional and 3‐dimensional periodic foundations in reducing structural responses have been investigated in a number of comprehensive theoretical, numerical, and experimental studies . Similar studies have also been conducted by other researchers . In particular, Brûlé et al carried out a large‐scale test of seismic metamaterials.…”

Section: Introductionmentioning

confidence: 99%

Composite periodic foundation and its application for seismic isolation

Cheng

Shi

2017

Earthq Engng Struct Dyn

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Summary This paper proposes a novel multidimensional composite periodic foundation for seismic isolation. The composite periodic foundation achieves multidimensional attenuation by innovative arrangement of periodic structures and taking advantage of the directional attenuation zone of periodic structures. Directional attenuation zones of periodic structures are derived for the in‐plane wave, and the impact of geometrical parameters of the periodic structure on the characteristics of the directional attenuation zones is studied. The effectiveness of the proposed composite periodic foundation is demonstrated through application in seismic isolation for nuclear power plant structures. Harmonic analysis and time history analysis results show that the proposed composite periodic foundation with low‐frequency directional attenuation zones can effectively reduce vibrations of the upper structure in both horizontal and vertical directions.

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Seismic waves damping with arrays of inertial resonators

Cited by 114 publications

References 34 publications

Conception of a 3D Metamaterial-Based Foundation for Static and Seismic Protection of Fuel Storage Tanks

Conception of a 3D Metamaterial-Based Foundation for Static and Seismic Protection of Fuel Storage Tanks

Metamaterial-like transformed urbanism

Composite periodic foundation and its application for seismic isolation

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