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Tunable frequency band-gap and pulse propagation in a strongly nonlinear diatomic chain

Herbold, E. B. and Nesterenko, V. F. and Wang, S. and Daraio, C. (2008) Tunable frequency band-gap and pulse propagation in a strongly nonlinear diatomic chain. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20160322-073625782

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Abstract

One-dimensional nonlinear phononic crystals have been assembled from periodic diatomic chains of stainless steel cylinders alternated with Polytetrafluoroethylene (PTFE) spheres. We report the presence of acoustic band gaps in the dispersion relation of the linearized systems and study the transformation of single and multiple pulses in linear, nonlinear and strongly nonlinear regimes with numerical calculations and experiments. The limiting frequencies of the band gap are within the audible frequency range (20~20,000 Hz) and can be tuned by varying the particle’s material properties, mass and initial compression. Pulses rapidly transform within very short distances from the impacted end due to the influence of the band gap in the linear and in nonlinear elastic chain. The effects of an in situ band gap created by a mean dynamic compression are observed in the strongly nonlinear wave regime.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/0806.4225arXivDiscussion Paper
ORCID:
AuthorORCID
Daraio, C.0000-0001-5296-4440
Additional Information:Submitted on 26 Jun 2008. This work was supported by NSF (Grant No. DCMS03013220).
Funders:
Funding AgencyGrant Number
NSFCMS-03013220
Record Number:CaltechAUTHORS:20160322-073625782
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160322-073625782
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:65568
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:30 Mar 2016 23:58
Last Modified:01 Dec 2017 18:52

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