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一维强非线性声子晶体中孤立波特性的可调性

Tunability of solitary wave properties in one-dimensional strongly nonlinear phononic crystals.

作者信息

Daraio C, Nesterenko V F, Herbold E B, Jin S

机构信息

Materials Science and Engineering Program, University of California at San Diego, La Jolla, California 92093-0418, USA.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Feb;73(2 Pt 2):026610. doi: 10.1103/PhysRevE.73.026610. Epub 2006 Feb 16.

Abstract

One-dimensional strongly nonlinear phononic crystals were assembled from chains of PTFE (polytetrafluoroethylene) and stainless-steel spheres with gauges installed inside the beads. Trains of strongly nonlinear solitary waves were excited by impacts. A significant modification of the signal shape and an increase of solitary wave speed up to two times (at the same magnitude of dynamic contact force) were achieved through a noncontact magnetically induced precompression of the chains. The data for the PTFE based chains are presented for the first time and the data for the stainless-steel beads chains are extended into a range of maximum dynamic forces more than one order of magnitude lower than previously reported. Experimental results agreed reasonably well with the long-wave approximation and numerical calculations based on the Hertz interaction law for particles interactions.

摘要

一维强非线性声子晶体由聚四氟乙烯(PTFE)链和不锈钢球体组成,珠子内部安装有应变片。通过撞击激发强非线性孤立波序列。通过对链进行非接触式磁致预压缩,实现了信号形状的显著改变以及孤立波速度提高到两倍(在相同动态接触力大小下)。首次给出了基于聚四氟乙烯链的数据,并且将不锈钢珠子链的数据扩展到最大动态力范围,该范围比先前报道的低一个多数量级。实验结果与基于赫兹相互作用定律的长波近似和数值计算相当吻合。

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