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Highly nonlinear solitary waves in chains of hollow spherical particles

机译:空心球形粒子链中的高度非线性孤波

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摘要

We study the dynamic response of one-dimensional granular chains composed of uniform hollow spheres excited by an impulse, and we observe the formation and propagation of highly nonlinear solitary waves. We find that the dynamics of these solitary waves are different from the solitary waves forming in chains composed of uniform solid spheres, because of the changes in the contact interaction between particles. We study the quasi-static contact interaction between two hollows spheres using finite element (FE) simulations, and approximate their response as a power-law type function in the range of forces of interest for this work. The experimental data obtained by testing a chain of particles shows good agreement with theoretical predictions obtained using a long wavelength approximation, and with numerical simulations based on discrete particle and FE models. We also investigate the effect of hollow spheres' wall thickness on the dynamic response of the chains.
机译:我们研究了由冲激激发的均匀空心球构成的一维颗粒链的动力响应,并观察了高度非线性的孤立波的形成和传播。我们发现,由于粒子之间的接触相互作用的变化,这些孤立波的动力学不同于由均匀固体球体组成的链中形成的孤立波。我们使用有限元(FE)模拟研究了两个空心球之间的准静态接触相互作用,并在感兴趣的作用力范围内将它们的响应近似为幂律类型函数。通过测试颗粒链获得的实验数据与使用长波长近似获得的理论预测以及基于离散颗粒和有限元模型的数值模拟显示出良好的一致性。我们还研究了空心球壁厚对链动态响应的影响。

著录项

  • 来源
    《Granular matter》 |2013年第2期|149-155|共7页
  • 作者单位

    Graduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, CA 91125, USA;

    Graduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, CA 91125, USA;

    Graduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, CA 91125, USA;

    Graduate Aerospace Laboratories (GALCIT), California Institute of Technology, Pasadena, CA 91125, USA,Applied Physics, California Institute of Technology, Pasadena,CA 91125, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    highly nonlinear solitary waves; hollow spheres; granular materials; contact interaction;

    机译:高非线性孤波;空心球;粒状材料;接触互动;

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