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科学通报  2011 

三维颗粒系统中表面斑图的簇模型

, PP. 685-692

Keywords: 颗粒物质,垂直激励,,斑图,理论模型,色散关系

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Abstract:

通过与二维颗粒系统的类比,建立三维颗粒系统在垂直激励下形成表面斑图的簇模型,并将表面斑图解释为正棱台簇和底板的碰撞以及正棱台簇和边界的碰撞共同作用的结果.根据正棱台簇在与底板的碰撞中吸取能量这一事实,详细讨论了单个簇与底板的碰撞过程.再根据运动的周期性,由速度关系推导出簇模型的一个基本方程.该方程将系统的特征参量和激励参量联系在一起,并以此分析斑图随激励加速度和激励频率的变化,以及色散关系.在一定的参数范围内,理论与实验吻合较好.

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