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arXiv 1807.09689cond-mat.soft
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散料卸料条件下筒仓变形动力学研究

Dynamics of silo deformation under granular discharge

Claudia Colonnello, Miroslav Kramar

摘要:

本文采用拓扑数据分析方法研究了重力驱动下实验室圆筒形筒仓的后屈曲特性。如果颗粒柱的初始高度足够大,薄壁筒仓在卸料过程中会发生屈曲。只要填充高度不超过临界值$L_c$,筒仓的变形是可逆的。超过这个极限,变形就变成永久性的,筒仓经常倒塌。我们研究了可逆和不可逆变形过程的动力学,改变初始填充高度周围$L_c$。我们发现,所有可逆的过程表现出惊人的相似性,他们之间的缓慢和快速的动态政权交替。在不可逆变形过程开始时出现的图案在拓扑上与可逆过程中出现的图案非常相似。然而,可逆和不可逆过程的动力学是显著不同的。特别是,不可逆过程的演变要快得多。这使我们能够仅根据对变形模式的观察来对筒仓的倒塌进行早期预测。

英文摘要:

We use Topological Data Analysis to study the post buckling behavior of laboratory scale cylindrical silos under gravity driven granular discharges. Thin walled silos buckle during the discharge if the initial height of the granular column is large enough. The deformation of the silo is reversible as long as the filling height does not exceed a critical value, $L_c$. Beyond this threshold the deformation becomes permanent and the silo often collapses. We study the dynamics of reversible and irreversible deformation processes, varying the initial filling height around $L_c$. We find that all reversible processes exhibit striking similarities and they alternate between regimes of slow and fast dynamics. The patterns that occur at the beginning of irreversible deformation processes are topologically very similar to those that arise during reversible processes. However, the dynamics of reversible and irreversible processes is significantly different. In particular, the evolution of irreversible processes is much faster. This allows us to make an early prediction of the collapse of the silo based solely on observations of the deformation patterns.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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