期刊
JOURNAL OF SOUND AND VIBRATION
卷 413, 期 -, 页码 250-269出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jsv.2017.10.023
关键词
Nonlinear acoustic metamaterial; Spectro-spatial analysis; Direction-biased waveguide
资金
- 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
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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