Nonlinear periodic foundations for seismic protection: Practical design, realistic evaluation and stability considerations

Martakis, Panagiotis; Aguzzi, Giulia; Dertimanis, Vasilis K.; Chatzi, Eleni; Colombi, Andrea

doi:10.1016/j.soildyn.2021.106934

Cited by 19 publications

(6 citation statements)

References 27 publications

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“…Figure 5 depicts the developed experimental setup. Previous studies on various linear and nonlinear metamaterial designs [21,35] suggest that even for a reduced number of unit cells (two-three) a substantial band gap can be generated, leading to noticeable motion reduction. Significant vibration mitigation is evident even for a single layer of the nonlinear metafoundation design with negative stiffness in the work of Wenzel et al [28].…”

Section: A Description Of the Setupmentioning

confidence: 99%

“…Furthermore, the inherent amplitude-dependent behavior may result in adaptation of the band-gap range, depending on the magnitude of the oscillation [28]. Several studies in the recent literature integrate metamaterial concepts to mild nonlinear configurations [29][30][31][32][33][34][35][36] studying their tunability properties, while others investigate the effect of nonsmooth phenomena [37][38][39], revealing the benefits in terms of larger attenuation bandwidths that can be obtained by exploiting nonlinearities.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: A Description Of the Setupmentioning

confidence: 99%

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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“…Applications of this concept included the dynamic responses of a multi-story frame building [15] and the seismic response reduction in bridges [16]. The development of a non-linear periodic foundation for the same purpose has been conducted recently [17], placing roller bearings between the concrete layers of the foundation. The contribution of the meta-material concepts to the enhancement of the response of EIs towards seismic hazards was demonstrated via the concept of the meta-foundation [18,19], which was designed for the protection of fuel and liquid storage tanks, showing great results also at the experimental level [20].…”

Section: Introductionmentioning

confidence: 99%

Meta-Material Layout for the Blast Protection of Above-Ground Steel Pipes

Kontogeorgos

Fuggini

2023

Geotechnics

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The current study investigates the capacity of the proposed meta-material layout for the blast protection of above-ground steel pipes against explosions. The philosophy of the meta-material layout’s design is described adequately, and the 1D periodic structures’ theory is adopted for the analytical prediction of the layout’s band-gaps. The special characteristics of the blast loading are explained, and specific time-related parameters are calculated. The layout is tested numerically for nine explosion scenarios of various magnitude via the finite element program ABAQUS, and the CONWEP model is selected for the simulation of the explosions. The results demonstrate a significant reduction in the maximum displacements developed on the pipe’s spring line and crown within a blast loading. This study composes an extension of the author’s previous research on buried steel pipes and surface explosion, advancing now the applicability of the meta-material layouts for the cases of above-ground steel pipes towards explosions and blast hazards. The outer goal is the investigation and the further spreading of the beneficial exploitation of meta-materials concepts for the scope of the pipelines’ effective blast protection, readdressing that this way is a major hazard for this type of structure and a gap in the current literature.

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“…In an attempt to explore the full potential that metamaterial configurations can offer by widening the band-gap range, nonlinear behavior is investigated. Geometrically nonlinear behavior, negative stiffness elements, as well as non-smooth phenomena in the form of impacts are being studied in the literature as potential solutions for optimizing the designs [12]- [16]. In the works of Chen et al [17], [18] and Al-Shudeifat et al [19] negative stiffness elements are investigated in the form of shallow arch configurations for nonlinear composite structures and energy sink applications.…”

Section: Introductionmentioning

confidence: 99%

Application of Geometrically Nonlinear Metamaterial Device forStructural Vibration Mitigation

Chondrogiannis

Dertimanis

Chatzi

2022

Nonlinear Structures &Amp; Systems, Volume 1

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One of major challenges encountered by civil structures throughout their life cycle pertains to exposure to dynamic loadings; with earthquakes representing an extreme case of such a load. The frequency content of a dynamic excitation is of primary importance not only because of the potential resonance it induces, but also due to limitations that arise for the capabilities of vibration mitigation devices. A recently emerging technology for civil structure applications includes the development of metamaterial configurations. These are structures, which are formed by periodic arrangement of a fundamental component design, termed the unit-cell. They can offer impressive filtering properties within specific frequency ranges; the so-called bandgaps. Considering the low frequency content of earthquake excitation, a design that features a band-gap in the lower frequency range is required. In this study, the potential of a geometrically nonlinear design for vibration mitigation purposes is investigated for lowering of the corresponding band-gap. The system consists in the periodic arrangement of nonlinear unit cells, each including a triangular arch configuration, which under large displacement considerations can produce not only geometrically nonlinear behavior, but also negative stiffness effects. Analytical derivations result to the determination of the amplitude depended band-gap of the system. The proposed configuration is attached to a target structure subjected to protection. An assessment on the capabilities of the device towards this direction was performed via numerical analyses, revealing considerable effectiveness. Acceleration response, as well as energy related measures are considered in the evaluation of the system's performance. An additional potential, which the proposed configuration can offer, refers to the applicability of the system for retrofitting purposes of existing structures. It is concluded that the system can offer significant vibration mitigation capabilities, while further study and development of the design, taking into consideration constructability limitations, can lead to an efficient passive vibration absorption device.

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Nonlinear periodic foundations for seismic protection: Practical design, realistic evaluation and stability considerations

Cited by 19 publications

References 27 publications

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

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

Meta-Material Layout for the Blast Protection of Above-Ground Steel Pipes

Application of Geometrically Nonlinear Metamaterial Device forStructural Vibration Mitigation

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