二维颗粒系统中指数分布的几何结构  

Geometric structure of exponential distribution in a two-dimensional particle system

作　　者：华云松[1] 戴红阳 李宏泽 杨晖[1] 李然[2] HUA Yunsong;DAI Hongyang;LI Hongze;YANG Hui;LI Ran(School of Optical-Electrical and Computer Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China;School of Health Science and Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)

机构地区：[1]上海理工大学光电信息与计算机工程学院,上海200093 [2]上海理工大学健康科学与工程学院,上海200093

出　　处：《光学仪器》2022年第4期67-72,共6页Optical Instruments

基　　金：国家自然科学基金(11972212、11902190、12072200、12002213);上海市自然科学基金(20ZR1438800)。

摘　　要：量化堆积颗粒的几何结构对于理解颗粒系统的宏观力学性质具有重要价值。本文通过Cell来量化圆盘颗粒在二维筒仓内的几何结构,发现重力驱动条件下Cell形状的概率分布满足指数函数分布,与颗粒系统的大小无关。值得注意的是,振动驱动条件下形如三角形的Cell发生了激增现象,形成概率提高了19%,而其他形状的Cell概率分布仍然满足指数函数分布。实验结果揭示了无序颗粒系统中介尺度条件下的有序堆积结构特征,为完善颗粒力学理论提供了数据参考。Quantifying the geometric structure of packing particles is of great value for understanding the macroscopic mechanical properties of particle systems.In this paper,Cell was utilized to measure the geometric structure of disk particles in a two-dimensional silo.The probability distribution of Cell shapes satisfied the exponential function distribution and was independent of the system size.Furthermore,it was observed that under the condition of vibration driving,the triangular-shaped Cell had a surge,and the formation probability increased by 19%,while the probability distribution of the rest shapes of Cell still satisfied the exponential function distribution.The experimental results reveal the structural characteristics of ordered packing in disordered particle system at intermediate scale,and provide references for perfecting the theory of particle mechanics.

关 键 词：颗粒材料 堆积结构 指数函数分布 振动 体积分数 

分 类 号：TB126[理学—工程力学]