Skip to main content

Advertisement

SpringerLink
Log in

Seismic metamaterials for low-frequency mechanical wave attenuation

  • Original Paper
  • Published:
Natural Hazards Aims and scope Submit manuscript

Abstract

In this study, a triangular array of cylindrical holes was shown to function as a local resonator to seismic metamaterials against the vibration generator loading in the geophysics concept. The field test showed that the seismic waves applied to one side of the proposed array interacted with the triangularly arranged holes, resulting in a strong attenuation in two narrow frequency bands. The numerical analysis was carried out using simulations based on the finite element method, which provides optimal dimensions and arrangement at a sub-wavelength scale to achieve maximum attenuation against incoming seismic wave at a very low frequency range. Different band gaps were observed due to interaction of the longitudinal resonance between the cylindrical holes and vertical components of soil response under the applied wave. Experimental analysis was carried out using optimum dimensions and hole arrangements, and a strong attenuation due to impedance matching between soil and seismic metamaterials was shown. It was also observed that, at very low frequencies, the soil response was due to the inverse proportionality between the resonator length and the seismic energy wavelength applied for longitudinal resonance. Two band gaps have been observed around 25–36 Hz as shown in band diagram. The proposed structure exactly prevents the seismic wave propagation at 25 Hz and 36 Hz in accordance with band diagram. Therefore, the proposed system can prevent the seismic waves from attaining the backside of the seismic array. The attenuation was obtained at a level of 0.00125, observed at a 0.0001 source point, measured by a speed sensor located at the back of the seismic metamaterials, with an attenuation rate of 12.5 at 8 Hz.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig.7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Achaoui Y, Ungureanu B, Enoch S, Brule S, Guenneau S (2016) Seismic waves damping with arrays of inertial resonators. Extreme Mech Lett 8:30–37

    Article  Google Scholar 

  • Achaoui Y, Antonakakis T, Brule S, Craster RV, Enoch S, Guenneau S (2017) Clamped seismic metamaterials: ultra-low frequency stop bands. New J Phys 19(6):063022

    Article  Google Scholar 

  • Brule S, Javelaud E, Enoch S, Guenneau S (2013) Seismic metamaterial: how to shake friends and influence waves. arXiv preprint arXiv:1301.7642

  • Brule S, Javelaud EH, Enoch S, Guenneau S (2014) Experiments on seismic metamaterials: molding surface waves. Phys Rev Lett 112:133901

    Article  Google Scholar 

  • Brule S, Enoch S, Guenneau S (2017) Emergence of seismic metamaterials: current state and future perspectives. arXiv preprint arXiv:1712.09115

  • Casablanca O, Ventura G, Garescì F, Azzerboni B, Chiaia B, Chiappini M, Finocchio G (2018) Seismic isolation of buildings using composite foundations based on metamaterials. J Appl Phys 123(17):174903

    Article  Google Scholar 

  • Dertimanis VK, Antoniadis IA, Chatzi EN (2016) Feasibility analysis on the attenuation of strong ground motions using finite periodic lattices of mass-in-mass barriers. J Eng Mech 142(9):04016060

    Article  Google Scholar 

  • Du Q, Zeng Y, Huang G, Yang H (2017) Elastic metamaterial-based seismic shield for both Lamb and surface waves. AIP Adv 7:075015

    Article  Google Scholar 

  • Dutta G, Mukerji T, Eidsvik J (2019) Value of information analysis for subsurface energy resources applications. Appl Energy 252:113436

    Article  Google Scholar 

  • Fırıncıoglu BS, Ercanoglu M (2019) Two-and three-dimensional slope stability evaluation in a residential area: Denizkonak landslides in Cide (Kastamonu, NW Turkey). Nat Hazards 99(1):449–466

    Article  Google Scholar 

  • Krödel S, Thomé N, Daraio C (2015) Wide band-gap seismic metastructures. Extreme Mech Lett 4:111–117

    Article  Google Scholar 

  • La Salandra V, Wenzel M, Bursi OS, Carta G, Movchan AB (2017) Conception of a 3D metamaterial-based foundation for static and seismic protection of fuel storage tanks. Front Mater 4:30

    Article  Google Scholar 

  • Lim CW, Reddy JN (2019) Built-up structural steel sections as seismic metamaterials for surface wave attenuation with low frequency wide bandgap in layered soil medium. Eng Struct 188:440–451

    Article  Google Scholar 

  • Mert BA, Dag A (2017) A computer program for practical semivariogram modeling and ordinary Kriging: a case study of porosity distribution in an oil field. Open Geosci 9:663–674

    Article  Google Scholar 

  • Mignan A, Karvounis D, Broccardo M, Wiemer S, Giardini D (2019) Including seismic risk mitigation measures into the Levelized Cost Of Electricity in enhanced geothermal systems for optimal siting. Appl Energy 238:831–850

    Article  Google Scholar 

  • Miniaci M, Krushynska A, Bosia F, Pugno NM (2016) Large scale mechanical metamaterials as seismic shields. New J Phys 18:083041

    Article  Google Scholar 

  • Palermo A, Krödel S, Marzani A, Daraio C (2016a) Engineered meta-barrier as shield from seismic surface waves. Sci Rep 6:39356

    Article  Google Scholar 

  • Palermo A, Krödel S, Marzani A, Daraio C (2016b) Engineered metabarrier as shield from seismic surface waves. Sci Rep 6:39356

    Article  Google Scholar 

  • Qiu J, Wang X, Lai J, Zhang Q, Wang J (2018) Response characteristics and preventions for seismic subsidence of loess in Northwest China. Nat Hazards 92(3):1909–1935

    Article  Google Scholar 

  • Roux P, Bindi D, Boxberger T, Colombi A, Cotton F, Douste-Bacque I et al (2018) Toward seismic metamaterials: the METAFORET project. Seismol Res Lett 89(2A):582–593

    Article  Google Scholar 

  • Wagner PR, Dertimanis VK, Antoniadis IA, Chatzi EN (2016a) On the feasibility of structural metamaterials for seismic-induced vibration mitigation. Int J Earthq Impact Eng 1(1–2):20–56

    Article  Google Scholar 

  • Wagner PR, Dertimanis VK, Chatzi EN, Antoniadis IA (2016) Design of metamaterials for seismic isolation. In: Dynamics of civil structures, vol 2. Springer, Cham, pp 275–287

  • Wang X, Zeng X, Yang X, Li J (2019a) Seismic response of offshore wind turbine with hybrid monopile foundation based on centrifuge modelling. Appl Energy 235:1335–1350

    Article  Google Scholar 

  • Waseem M, Khan MA, Khan S (2019) Seismic sources for southern Pakistan and seismic hazard assessment of Karachi. Nat Hazards 99:511–536

    Article  Google Scholar 

  • Witarto W, Wang SJ, Yang CY, Nie X, Mo YL, Chang KC et al (2018) Seismic isolation of small modular reactors using metamaterials. AIP Adv 8(4):045307

    Article  Google Scholar 

  • Zeng Y, Peng P, Du QJ, Wang YS (2019) A novel zero-frequency seismic metamaterial. arXiv preprint arXiv:1907.06446

Download references

Acknowledgements

We would like to thank the Disaster and Emergency Management Presidency of Turkey (UDAP-Ç-19-21) for the financial support.

Author information

Authors and Affiliations

  1. Department of Civil Engineering, Iskenderun Technical University, Hatay, 31200, Turkey

    Selcuk Kacin, Murat Ozturk & Umur Korkut Sevim

  2. MTAIC Niger Mining Limited, Tillabéri, Niger

    Bayram Ali Mert

  3. Department of Electrical and Electronics Engineering, Mersin University, Mersin, 33000, Turkey

    Zafer Ozer

  4. Department of Electrical and Electronics Engineering, Iskenderun Technical University, Hatay, 31200, Turkey

    Oguzhan Akgol, Emin Unal & Muharrem Karaaslan

Authors
  1. Selcuk Kacin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Murat Ozturk
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Umur Korkut Sevim
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Bayram Ali Mert
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Zafer Ozer
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Oguzhan Akgol
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Emin Unal
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. Muharrem Karaaslan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Muharrem Karaaslan.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kacin, S., Ozturk, M., Sevim, U.K. et al. Seismic metamaterials for low-frequency mechanical wave attenuation. Nat Hazards 107, 213–229 (2021). https://doi.org/10.1007/s11069-021-04580-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11069-021-04580-5

Keywords

Search

Navigation