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Vibrations of jammed disk packings with Hertzian interactions

机译：卡盘填料的振动与赫兹相互作用

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摘要

Contact breaking and Hertzian interactions between grains can both give rise to nonlinear vibrational response of static granular packings. We perform molecular dynamics simulations at constant energy in 2D of friction-less bidisperse disks that interact via Hertzian spring potentials as a function of energy and measure directly the vibrational response from the Fourier transform of the velocity autocorrelation function. We compare the measured vibrational response of static packings near jamming onset to that obtained from the eigenvalues of the dynamical matrix to determine the temperature above which the harmonic approximation breaks down. We compare packings that interact via single-sided (purely repulsive) and double-sided Hertzian spring interactions to disentangle the effects of the shape of the potential from contact breaking. Our studies show that while Hertzian interactions lead to weak nonlinearities in the vibrational behavior (e.g. the generation of harmonics of the eigenfrequencies of the dynamical matrix), the vibrational response of static packings with Hertzian contact interactions is dominated near jamming by contact breaking as found for systems with repulsive linear spring interactions.
机译：颗粒之间的接触破坏和赫兹相互作用都可以引起静态颗粒填料的非线性振动响应。我们在无摩擦双分散圆盘的二维中以恒定能量执行分子动力学模拟，该双分散圆盘通过赫兹弹簧势作为能量的函数进行交互，并直接从速度自相关函数的傅立叶变换测量振动响应。我们将测得的接近于卡塞现象的静态填料的振动响应与从动力矩阵特征值获得的振动响应进行比较，以确定在该温度以上谐波近似分解的温度。我们比较了通过单面（纯斥力）和双面赫兹弹簧相互作用相互作用的填料，以消除因接触破坏而产生的势能形状的影响。我们的研究表明，尽管赫兹相互作用导致振动行为的非线性较弱（例如，动态矩阵特征频率的谐波的产生），但具有赫兹接触相互作用的静态填料的振动响应在接触附近几乎受干扰破坏的支配下占据主导地位。具有排斥性线性弹簧相互作用的系统。

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  • 来源
    《Granular matter》 |2014年第2期|209-216|共8页
  • 作者

    Carl F. Schreck; Corey S. OHern; Mark D. Shattuck;

  • 作者单位

    Department of Mechanical Engineering and Materials Science, Yale University, New Haven, CT 06520-8260, USA,Department of Physics, Yale University, New Haven, CT 06520-8120, USA;

    Department of Mechanical Engineering and Materials Science, Yale University, New Haven, CT 06520-8260, USA,Department of Physics, Yale University, New Haven, CT 06520-8120, USA,Department of Applied Physics, Yale University, New Haven, CT 06520-8120, USA;

    Department of Mechanical Engineering and Materials Science, Yale University, New Haven, CT 06520-8260, USA,Physics Department, Benjamin Levich Institute, The City College of the City University of New York, New York, NY 10031, 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

    Granular materials; Acoustics; Jamming; Vibrations;

    机译：粒状材料;声学;干扰震动;

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