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Propagation of highly nonlinear solitary waves in a curved granular chain

机译:高非线性孤波在弯曲颗粒链中的传播

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摘要

We assemble granular chains composed of spheres of uniform diameter in different curved configura-tions. We study the properties of highly nonlinear solitary waves traveling in the curved channels as a function of the curve angle and of the radius of curvature, using experiments and numerical simulations. We observe that solitary waves propagate robustly even under drastic deflection, such as 90° and 180° turns. When the solitary waves encounter a sharp turn with a radius of curvature as small as one spherical parti-cle's diameter, we report the formation of secondary solitary waves resulting from the interaction with the guiding rail. We compare experimental results with numerical simulations based on a discrete element model that accounts for nonlin-ear and dissipative interactions between particles. This study demonstrates that granular chains are efficient wave-guides, even in complex geometrical configurations. Moreover, the findings in this study suggest that solitary waves could be used as novel information and/or energy carriers.
机译:我们组装由直径均匀的球体构成的不同弯曲结构的颗粒链。我们使用实验和数值模拟研究了在弯曲通道中传播的高度非线性孤波的特性,它是弯曲角度和曲率半径的函数。我们观察到,即使在剧烈偏转(例如90°和180°转弯)下,孤立波也能稳健传播。当孤立波遇到曲率半径小于一个球形颗粒直径的急转弯时,我们报告了由于与导轨相互作用而形成的第二次孤立波。我们将实验结果与基于离散元素模型的数值模拟进行比较,该模型考虑了颗粒之间的非线性耳和耗散相互作用。这项研究表明,即使在复杂的几何构型中,颗粒链也是有效的波导。此外,这项研究的发现表明,孤立波可以用作新型信息和/或能量载体。

著录项

  • 来源
    《Granular matter》 |2013年第3期|357-366|共10页
  • 作者单位

    Laboratory for Nondestructive Evaluation and Structural Health Monitoring Studies, Department of Civil and Environmental Engineering, University of Pittsburgh, 729 Benedum Hall, 3700 O'Hara St.. Pittsburgh, PA 15261, USA;

    Department of Mechanical Engineering, University of South Carolina, 300 Main Street, Room A220, Columbia, SC 29208, USA;

    Laboratory for Nondestructive Evaluation and Structural Health Monitoring Studies, Department of Civil and Environmental Engineering, University of Pittsburgh, 729 Benedum Hall, 3700 O'Hara St.. Pittsburgh, PA 15261, USA;

    Laboratory for Nondestructive Evaluation and Structural Health Monitoring Studies, Department of Civil and Environmental Engineering, University of Pittsburgh, 729 Benedum Hall, 3700 O'Hara St.. Pittsburgh, PA 15261, USA;

    Engineering and Applied Science, California Institute of Technology, 1200 E California Boulevard, MC 105-50, 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; Granular systems; Wave guiding;

    机译:高度孤立的非线性波;颗粒系统波导;

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