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Metamaterial Systems and Routing of Elastic Waves in Engineered Structures

  • Natalia V. MovchanEmail author
  • Alexander B. Movchan
  • Ross C. McPhedran
  • Michele Brun
  • Ian S. Jones
Chapter

Abstract

The novel idea of by-pass structures is introduced for dynamic multi-scale systems such as elongated multiply supported bridges or tall multi-storey buildings. The by-pass structures prevent catastrophic vibrational damage to occur because of resonances, which are easily overlooked in current design procedures based on industrial computer packages. The ideas can also be applied to the design and study of novel metamaterials and photonic/phononic crystals. The solution of a model problem on an elementary cell provides insights into the wave spectrum of multi-structures and this enables a simple isolation of frequency ranges in which troublesome resonance modes may occur.

Notes

Acknowledgments

Support from the research grants of the European Communitys Seven Framework Programme under contract numbers PIEF-GA- 2011-302357-DYNAMETA and PIAP-GA-2011- 284544-PARM-2, is gratefully acknowledged.

References

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    Colquitt, D.J., Jones, I.S., Movchan, N.V., Movchan, A.B., Brun, M., McPhedran, R.C.: Making waves round a structured cloak: lattices, negative refraction and fringes. Proc. R. Soc. A: Math., Phys. Eng. Sci. 469(2157), 20130218 (2013). doi: 10.1098/rspa.2013.021 Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Natalia V. Movchan
    • 1
    Email author
  • Alexander B. Movchan
    • 1
  • Ross C. McPhedran
    • 1
  • Michele Brun
    • 1
    • 2
  • Ian S. Jones
    • 1
    • 3
  1. 1.Department of Mathematical SciencesUniversity of LiverpoolLiverpoolUK
  2. 2.Department of Mechanical, Chemical and Material EngineeringUniversity of CagliariCagliariItaly
  3. 3.Department of Mechanical EngineeringJohn Moores UniversityLiverpoolUK

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