Composite periodic foundation and its application for seismic isolation

Cheng, Zhibao; Shi, Zhifei

doi:10.1002/eqe.2999

Cited by 82 publications

(30 citation statements)

References 40 publications

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“…If the Metafoundation described in Section can be designed as a periodic system, relevant unit cells can suppress the propagation of seismic waves in certain frequency regions . These regions are called band gaps and can be determined by means of a lattice dispersion analysis using the Floquet‐Bloch theorem .…”

Section: Uncoupled System Properties and Metamaterials Conceptmentioning

confidence: 99%

“…This particular property has opened an innovative direction to reduce earthquake-induced vibrations. [10][11][12] At the outset, two types of applications have been proposed based on this phenomenon: (1) foundations with embedded resonators [13][14][15][16] capable of attenuating seismic waves effects and (2) barriers that are able to redirect surface waves back into the ground. [17][18][19][20] More precisely, Cheng and Shi 14 studied a periodic foundation composed of a reinforced concrete matrix and steel masses that are connected to the matrix with rubber layers.…”

Section: Background and Motivationsmentioning

confidence: 99%

“…If the Metafoundation described in Section 2.2 can be designed as a periodic system, relevant unit cells can suppress the propagation of seismic waves in certain frequency regions. 13,14 These regions are called band gaps and can be determined by means of a lattice dispersion analysis using the Floquet-Bloch theorem. 41 Under the aid of this theorem, it becomes possible to reduce the study of an infinite lattice to the analysis of a single unit cell with Floquet-Bloch quasiperiodic boundary conditions.…”

Section: Properties Of a Periodic Latticementioning

confidence: 99%

“…This particular property has opened an innovative direction to reduce earthquake‐induced vibrations . At the outset, two types of applications have been proposed based on this phenomenon: (1) foundations with embedded resonators capable of attenuating seismic waves effects and (2) barriers that are able to redirect surface waves back into the ground …”

Section: Introductionmentioning

confidence: 99%

“…More precisely, Cheng and Shi studied a periodic foundation composed of a reinforced concrete matrix and steel masses that are connected to the matrix with rubber layers. They demonstrated the effectiveness of their isolation system for a large set of ground motions and applied it to a nuclear power plant.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Finite locally resonant Metafoundations for the seismic protection of fuel storage tanks

Basone

Wenzel

Bursi

et al. 2018

Earthq Engng Struct Dyn

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Summary This paper introduces a novel seismic isolation system based on metamaterial concepts for the reduction of ground motion‐induced vibrations in fuel storage tanks. In recent years, the advance of seismic metamaterials has led to various new concepts for the attenuation of seismic waves. Of particular interest for the present work is the concept of locally resonant materials, which are able to attenuate seismic waves at wavelengths much greater than the dimensions of their unit cells. Based on this concept, we propose a finite locally resonant Metafoundation, the so‐called Metafoundation, which is able to shield fuel storage tanks from earthquakes. To crystallize the ideas, the Metafoundation is designed according to the Italian standards with conservatism and optimized under the consideration of its interaction with both superstructure and ground. To accomplish this, we developed two optimization procedures that are able to compute the response of the coupled foundation‐tank system subjected to site‐specific ground motion spectra. They are carried out in the frequency domain, and both the optimal damping and the frequency parameters of the Metafoundation‐embedded resonators are evaluated. As case studies for the superstructure, we consider one slender and one broad tank characterized by different geometries and eigenproperties. Furthermore, the expected site‐specific ground motion is taken into account with filtered Gaussian white noise processes modeled with a modified Kanai‐Tajimi filter. Both the effectiveness of the optimization procedures and the resulting systems are evaluated through time history analyses with two sets of natural accelerograms corresponding to operating basis and safe shutdown earthquakes, respectively.

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Section: Uncoupled System Properties and Metamaterials Conceptmentioning

confidence: 99%

Section: Background and Motivationsmentioning

confidence: 99%

Section: Properties Of a Periodic Latticementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Finite locally resonant Metafoundations for the seismic protection of fuel storage tanks

Basone

Wenzel

Bursi

et al. 2018

Earthq Engng Struct Dyn

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Seismic surface wave attenuation by resonant metasurfaces on stratified soil

Zeng

Zhao

Zeighami

2022

Earthq Engng Struct Dyn

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This study aims to theoretically and numerically investigate the dispersion relations of Rayleigh waves propagating through vertical oscillators periodically distributed on stratified media. The classical elastodynamics theory and an effective medium approximation method are adopted to describe the dynamic behavior of metasurfaces and hybridization between the local oscillators and the foundational surface wave modes. The Abo-zena algorithm and delta-matrix method are combined to simplify the Eigen equation to overcome the accuracy problem in solving the closed-form dispersion laws and improve the computational efficiency. Subsequently, plane-strain finite element (FE) models with three configurations are developed to confirm the analytical predictions and obtain further insight into the resonator-Rayleigh wave coupling mechanism. The numerical results are in good agreement with the analytical solutions, revealing that only the foundational mode is strongly coupled with the vertical resonators at resonance, while the surface wave band gap reported in homogeneous media is crossed by the remaining higher-order surface modes. The attenuation performance and mechanical behavior of a finite-length metasurface are investigated, and it is demonstrated that the output surface ground motion can be significantly reduced in a narrow frequency band near resonance. Moreover, a graded resonant metasurface with decreasing frequency is simulated to assess the feasibility of broadband attenuation. In summary, the aforementioned analytical framework and numerical simulation results show that the vertical oscillators placed atop a stratified soil system can be designed as resonant metasurfaces for shielding seismic surface waves to protect multiple large infrastructures or special structures from earthquake hazards.

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Multiconnected Beam Gradient Seismic Metamaterials for Broadband Rayleigh Wave Attenuation

Sun,

Hai,

et al. 2024

Physica Status Solidi (a)

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Local resonance metamaterials have addressed the limitations of Bragg scattering‐type periodic structures in low‐frequency applications, providing a new path for the development of new seismic systems. However, achieving broadband attenuation of low‐frequency seismic waves within a compact structural design remains challenging. This article presents a novel local resonance seismic metamaterial (SM) with an ultra‐low frequency broad bandgap. It consists of an external steel frame, peripheral steel connecting beams, bottom rubber cushions, and a central steel resonator. By combining dispersion analysis and acoustic cone methods to calculate its bandgap, the attenuation range of the SM is clarified, and the influence of structural parameter changes on the upper and lower limits of bandgap is discussed. The results demonstrate that the attenuation domain can be further broadened through parameter gradient design, and frequency domain analysis confirms that the proposed gradient local resonance SM can achieve broadband seismic wave attenuation from 1.0611 to 10.895 Hz. Finally, time‐domain analysis elucidates the dynamic response of the SM, further validating the study's effectiveness. The SM proposed herein has practical and economic applications in surface vibration isolation, effectively protecting large infrastructure and civil engineering structures.

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Composite periodic foundation and its application for seismic isolation

Cited by 82 publications

References 40 publications

Finite locally resonant Metafoundations for the seismic protection of fuel storage tanks

Finite locally resonant Metafoundations for the seismic protection of fuel storage tanks

Seismic surface wave attenuation by resonant metasurfaces on stratified soil

Multiconnected Beam Gradient Seismic Metamaterials for Broadband Rayleigh Wave Attenuation

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