Graded meta-waveguides for elastic energy splitting

Graded meta-waveguides for elastic energy splitting

Luca Iorio, Jacopo M. De Ponti, Raffaele Ardito, Alberto Corigliano

Abstract. Engineered metamaterials for precise wave manipulation and control is a new challenge for many applications in the field of mechanical vibration control and energy harvesting. Inspired by the advancement in wave manipulation and localization performance of elastic waveguides thanks to the introduction of resonators, we try to assess if these systems can be applied also into the junctions between beams that make up lattices. The goal is to achieve control over elastic wave propagation and define whether the local resonators are able to enhance the redirection of the wave into a perpendicular beam. Furthermore, evaluations concerning elastic energy localization in the resonators are reported to assess whether these systems are also suitable for energy localization and energy harvesting.

Keywords
Metamaterials, Meta-Lattices, Wave Confinement, Energy Harvesting

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Luca Iorio, Jacopo M. De Ponti, Raffaele Ardito, Alberto Corigliano, Graded meta-waveguides for elastic energy splitting, Materials Research Proceedings, Vol. 26, pp 529-534, 2023

DOI: https://doi.org/10.21741/9781644902431-86

The article was published as article 86 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

References
[1] Pendry, J. B., Holden, A. J., Robbins, D. J. & Stewart, W. Magnetism from conductors and enhanced nonlinear phenomena. IEEE transactions on microwave theory and techniques 47, 2075–2084 (1999). https://doi.org/10.1109/22.798002
[2] Craster, R. V. & Guenneau, S. Acoustic metamaterials: Negative refraction, imaging, lensing and cloaking, vol. 166 (Springer Science & Business Media, 2012). https://doi.org/10.1007/978-94-007-4813-2
[3] Liu, Z. et al. Locally resonant sonic materials. Science 289, 1734–1736 (2000). https://doi.org/10.1126/science.289.5485.1734
[4] Craster, R. & Guenneau, S. World scientific handbook of metamaterials and plasmonics (2017). https://doi.org/10.1142/10642-vol2
[5] Tol, S., Degertekin, F. L. & Erturk, A. Gradient-index phononic crystal lens-based enhancement of elastic wave energy harvesting. Applied Physics Letters 109, 063902 (2016). https://doi.org/10.1063/1.4960792
[6] Tol, S., Degertekin, F. L. & Erturk, A. Phononic crystal luneburg lens for omnidirectional elastic wave focusing and energy harvesting. Applied Physics Letters 111, 013503 (2017). https://doi.org/10.1063/1.4991684
[7] Zareei, A., Darabi, A., Leamy, M. J. & Alam, M.-R. Continuous profile flexural GRIN lens: Focusing and harvesting flexural waves. Applied Physics Letters 112, 023901 (2018). https://doi.org/10.1063/1.5008576
[8] Allam, A., Sabra, K. & Erturk, A. Sound energy harvesting by leveraging a 3D-printed phononic crystal lens. Applied Physics Letters 118, 103504 (2021). https://doi.org/10.1063/5.0030698
[9] Wu, L.-Y., Chen, L.-W. & Liu, C.-M. Acoustic energy harvesting using resonant cavity of a sonic crystal. Applied Physics Letters 95, 013506 (2009). https://doi.org/10.1063/1.3176019
[10] Qi, S., Oudich, M., Li, Y. & Assouar, B. Acoustic energy harvesting based on a planar acoustic metamaterial. Applied Physics Letters 108, 263501 (2016). https://doi.org/10.1063/1.4954987
[11] Carrara, M. et al. Metamaterial-inspired structures and concepts for elastoacoustic wave energy harvesting. Smart Materials and Structures 22, 065004 (2013). https://doi.org/10.1088/0964-1726/22/6/065004
[12] Darabi, A., Ni, X., Leamy, M. & Al`u, A. Reconfigurable Floquet elastodynamic topological insulator based on synthetic angular momentum bias. Science advances 6, (2020). https://doi.org/10.1126/sciadv.aba8656
[13] Gonella, S., To, A. C. & Liu, W. K. Interplay between phononic bandgaps and piezoelectric microstructures for energy harvesting. Journal of the Mechanics and Physics of Solids 57, 621–633 (2009). https://doi.org/10.1016/j.jmps.2008.11.002
[14] Sugino, C. & Erturk, A. Analysis of multifunctional piezoelectric metastructures for low-frequency bandgap formation and energy harvesting. Journal of Physics D: Applied Physics 51, 215103 (2018). https://doi.org/10.1088/1361-6463/aab97e
[15] Colombi, A., Colquitt, D., Roux, P., Guenneau, S. & Craster, R. V. A seismic metamaterial: The resonant metawedge. Scientific reports 6, 1–6 (2016). https://doi.org/10.1038/srep27717
[16] Colombi, A. et al. Elastic wave control beyond band- gaps: shaping the flow of waves in plates and half-spaces with subwavelength resonant rods. Frontiers in Mechanical Engineering 3, 10 (2017). https://doi.org/10.3389/fmech.2017.00010
[17] Aguzzi, G. et al. Octet lattice-based plate for elastic wave control. Scientific reports 12, 1–14 (2022). https://doi.org/10.1038/s41598-022-04900-0
[18] Rajagopal, P., Drozdz, M., Skelton, E. A., Lowe, M. J. & Craster, R. V. On the use of absorbing layers to simulate the propagation of elastic waves in unbounded isotropic media using commercially available finite element packages. NDT & E international 51, 30–40 (2012). https://doi.org/10.1016/j.ndteint.2012.04.001
[19] De Ponti, J. M. et al. Graded elastic metasurface for enhanced energy harvesting. New Journal of Physics 22, 013013 (2020). https://doi.org/10.1088/1367-2630/ab6062
[20] De Ponti, J. M. et al. Experimental investigation of amplification, via a mechanical delay-line, in a rainbow – based metamaterial for energy harvesting. Applied Physics Letters 117, 143902 (2020). https://doi.org/10.1063/5.0023544
[21] De Ponti, J. M. et al. Selective mode conversion and rainbow trapping via graded elastic waveguides. Physical Review Applied 16, 034028 (2021). https://doi.org/10.1103/PhysRevApplied.16.034028