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Band-Gap Properties of Prestressed Structures

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Acoustic Metamaterials

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 166))

Abstract

The design of periodic and quasiperiodic structures possessing innovative filtering properties for elastic waves opens the way to the realization of elastic metamaterials. In these structures prestress has a strong influence, ‘shifting’ in frequency, but also ‘annihilating’ or ‘nucleating’ band gaps. The effects of prestress are demonstrated with examples involving flexural waves in periodic and quasiperiodic beams and periodic plates. Results highlight that prestress can be employed as a ‘tuning parameter’ for continuously changing vibrational properties of elastic metamaterials.

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Notes

  1. 1.

    In terms of generation sequence F i dimensionless buckling loads are , , , , , , .

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Acknowledgements

M.G. and M.B. gratefully acknowledge the support of Italian Ministry of Education, University and Research (PRIN grant No. 2009XWLFKW); D.B. and A.B.M. gratefully acknowledge the support from the European Union FP7 under contract No. PIAP-GA-2011-286110-INTERCER2.

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Authors and Affiliations

  1. Department of Civil, Environmental and Mechanical Engineering, University of Trento, via Mesiano 77, 38123, Trento, Italy

    M. Gei, D. Bigoni & M. Bacca

  2. Department of Mathematical Sciences, University of Liverpool, Liverpool, L69 3BX, UK

    A. B. Movchan

Authors
  1. M. Gei
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  2. D. Bigoni
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  3. A. B. Movchan
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  4. M. Bacca
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Correspondence to M. Gei .

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Editors and Affiliations

  1. Department of Mathematics, Imperial College, South Kensington Campus, London, SW7 2BZ, United Kingdom

    Richard V. Craster

  2. Institut Fresnel CNRS, Rue du Coteau 71, Marseille, 13770, France

    Sébastien Guenneau

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Gei, M., Bigoni, D., Movchan, A.B., Bacca, M. (2013). Band-Gap Properties of Prestressed Structures. In: Craster, R., Guenneau, S. (eds) Acoustic Metamaterials. Springer Series in Materials Science, vol 166. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4813-2_3

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