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

Herbold, E. B.
Kim, J.
Nesterenko, V. F.
Wang, S.
Daraio, C.
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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 chains. The effects of an in situ band gap created by a mean dynamic compression are observed in the strongly nonlinear wave regime.
Comment: 38 pages, 13 figures
Condensed Matter - Soft Condensed Matter, Condensed Matter - Materials Science