Acoustic supratransmission in particulate materials
CUI Jianguo1，YANG Tianzhi1,2，CHEN Liqun1,3
1.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China；
2.School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;
3.College of Sciences, Shanghai University, Shanghai 200444, China
Abstract：At a given frequency, a system may occur sudden large energy flow when the harmonic driving reaches a threshold amplitude.This appearance is called nonlinear supra-transmission.In the paper, the nonlinear supra-transmission in periodic granular chain was studied.In studying the spectral responses of granular chain by numerical analysis, the whole frequency band can be divided into three parts, namely, the lower forbidden band, pass band and upper forbidden band.Besides, the responses in the three parts are entirely different.This manifestation further demonstrates our partitioning is feasible.The acoustic asymmetric propagation in particulate materials was also inrestigated.It is found that realize the one-way transmission of acoustic wave in granular materials can be realized by changing the acoustic amplitude.
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