强非线性双原子链中的可调谐频率带隙和脉冲传输
Tunable frequency band-gap and pulse propagation in a strongly nonlinear diatomic chain
摘要：
一维非线性声子晶体是由不锈钢圆柱与聚四氟乙烯（PTFE）球交替排列的周期性双原子链组装而成的。我们报告的线性化系统的色散关系中的声学带隙的存在和研究的线性，非线性和强非线性制度的单脉冲和多脉冲的转换与数值计算和实验。带隙的极限频率在可听频率范围（20- 20，000 Hz）内，并且可以通过改变颗粒的材料性质、质量和初始压缩来调谐。由于线性和非线性弹性链中带隙的影响，脉冲在离受冲击端很短的距离内迅速变换。在强非线性波区观察到平均动态压缩产生的原位带隙效应。
英文摘要：
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.
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