Journal
JOURNAL OF SOUND AND VIBRATION
Volume 413, Issue -, Pages 250-269Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2017.10.023
Keywords
Nonlinear acoustic metamaterial; Spectro-spatial analysis; Direction-biased waveguide
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Funding
- Air Force Office of Scientific Research [AF 9550-15-1-0016]
- National Natural Science Foundation of China [11532001, 11621062]
- Fundamental Research Funds for the Central Universities
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The objective of this work is to analyze wave packet propagation in weakly nonlinear acoustic metamaterials and reveal the interior nonlinear wave mechanism through spectro-spatial analysis. The spectro-spatial analysis is based on full-scale transient analysis of the finite system, by which dispersion curves are generated from the transmitted waves and also verified by the perturbation method (the L-P method). We found that the spectro-spatial analysis can provide detailed information about the solitary wave in short-wavelength region which cannot be captured by the L-P method. It is also found that the optical wave modes in the nonlinear metamaterial are sensitive to the parameters of the nonlinear constitutive relation. Specifically, a significant frequency shift phenomenon is found in the middle-wavelength region of the optical wave branch, which makes this frequency region behave like a band gap for transient waves. This special frequency shift is then used to design a direction-biased waveguide device, and its efficiency is shown by numerical simulations. (C) 2017 Elsevier Ltd. All rights reserved.
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