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Stability of clogging arches in a silo submitted to vertical vibrations

机译:竖向振动引起的筒仓堵塞拱的稳定性

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摘要

We present experimental results on the endurance of arches that block the outlet of a two-dimensional silo when subjected to vertical vibration. In a recent paper [C. Lozano et al., Phys. Rev. Lett. 109, 068001 (2012)], it was shown that the arch resistance against vibrations is determined by the maximum angle among those formed between each particle in the bridge and its two neighbors: the larger the maximum angle is, the weaker the bridge. It has also been reported that the breaking time distribution shows a power-law tail with an exponent that depends on the outlet size, the vibration intensity, and the load [I. Zuriguel et al., Sci. Rep. 4, 7324 (2014)]. Here we connect these previous works, demonstrating the importance of the maximum angle in the arch on the exponent of the breaking time distribution. Besides, we find that the acceleration needed to break an arch does not depend on the ramp rate of the applied acceleration, but it does depend on the outlet size above which the arch is formed. We also show that high frequencies of vibration reveal a change in the behavior of the arches that endure very long times. These arches have been identified as a subset with special geometrical features. Therefore, arches that cannot be broken by means of a given external excitation might exist.
机译:我们提出了拱形的承受力的实验结果,该拱形在承受垂直振动时会阻塞二维筒仓的出口。在最近的一篇论文中[C. Lozano等,Phys。牧师109,068001(2012)]表明,拱的抗振性是由桥中每个粒子与其两个相邻粒子之间形成的最大角度决定的:最大角度越大,桥越弱。还据报道,断裂时间分布显示出幂律尾部,其幂指数取决于出口尺寸,振动强度和负载[I。 Zuriguel等,科学。 Rep。4,7324(2014)]。在这里,我们将这些先前的工作联系起来,论证了拱形中最大角度对断裂时间分布指数的重要性。此外,我们发现打破拱门所需的加速度并不取决于所施加加速度的斜率,而是取决于形成拱门的出口尺寸。我们还表明,高频率的振动揭示了持久很长时间的拱形行为的变化。这些拱门已被确定为具有特殊几何特征的子集。因此,可能存在不能通过给定的外部激励而断裂的拱门。

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