垂直振动板上散体桩的松弛动力学
Relaxation Dynamics of a Granular Pile on a Vertically-Vibrating Plate
摘要：
对竖向振动颗粒桩的非线性松弛动力学进行了实验研究。在实验中，使用高速激光轮廓仪测量了松弛堆上的流量和斜率。这些量之间的关系可以用非线性输运定律来模拟，假定整个桩体的振动流化是均匀的。该模型中的拟合参数仅为弛豫效率，它表征了垂直振动向水平输运的能量转换率。我们证明，这个值是一个常数独立的实验条件。实际松弛成功地再现了连续性方程与建议的模型。最后，它对天体物理现象的具体适用性。
英文摘要：
Nonlinear relaxation dynamics of a vertically-vibrated granular pile is experimentally studied. In the experiment, the flux and slope on the relaxing pile are measured by using a high-speed laser profiler. The relation of these quantities can be modeled by the nonlinear transport law assuming the uniform vibro-fluidization of an entire pile. The fitting parameter in this model is only the relaxation efficiency, which characterizes the energy conversion rate from vertical vibration into horizontal transport. We demonstrate that this value is a constant independent of experimental conditions. The actual relaxation is successfully reproduced by the continuity equation with the proposed model. Finally its specific applicability toward an astrophysical phenomenon is shown.
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