变重力场中散体颗粒堆的安息角及接触力分布

陈辉; 赵先琼; 刘义伦

doi:10.13700/j.bh.1001-5965.2014.0468

变重力场中散体颗粒堆的安息角及接触力分布

doi: 10.13700/j.bh.1001-5965.2014.0468

中南大学机电工程学院, 长沙 410083

基金项目: 国家自然科学基金(51275531,51374241); 湖南省研究生科研创新项目(CX2014B059)

详细信息

作者简介:
陈辉(1984—),男,湖南永州人,博士研究生,csuchenh@csu.edu.cn

通讯作者:
刘义伦(1955—),男,湖南长沙人,教授,ylliu@csu.edu.cn,主要研究方向为散体颗粒物质的传热传质机理.

中图分类号: V41
计量
- 文章访问数: 1077
- HTML全文浏览量: 182
- PDF下载量: 577
- 被引次数: 0
出版历程
- 收稿日期: 2014-07-28
- 网络出版日期: 2015-06-20

Angle of repose and contact-force distribution in granular pile under variable g

College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China

摘要

摘要: 为研究重力与散体颗粒堆安息角的关系,针对颗粒系统的随机性和离散性特点,通过三维离散单元法建立颗粒的运动模型,对颗粒在不同重力场中的堆积过程进行了模拟,得出了颗粒堆的安息角及接触力概率分布.结果表明:颗粒堆内接触力构成的力链呈非规则网络状,其中,接触力近似对数正态分布,约65%接触力低于平均值;接触点中约70%处于临界滑移,其余接触点切向力与法向力的比值为均匀分布;不同重力场中颗粒堆接触力的分布规律具有相似性,即接触力相对重力无量纲化之后,其分布函数高度相符;颗粒堆的微观结构具有随机性差异,但是安息角不受重力大小的影响.
- 颗粒堆 /
- 安息角 /
- 重力 /
- 接触力 /
- 离散单元法
Abstract: Taking the discontinuity and random character of granular system into account, a kinematic model of particles was established by three-dimensional discrete element method in order to investigate the relationship between angle of repose and gravity. Accumulation process of granular pile was simulated using the model under variable gravity. The angle of repose and probabilistic distribution of contact forces were obtained in the model. Results show that the force-chain formed from contact forces within particle pile has the characteristics of structure of irregular mesh. Contact forces within particle pile are approximately log-normal distributed and there are about 65% of contacts carrying a force lower than the mean. Moreover, there are about 70% of contacts whose friction force are fully mobilized and the ratio of tangential force to normal force among the rest of contacts is uniformly distributed. The distributions of contact force of granular piles in different gravity field have similar properties. The contact forces, which are normalized with respect to particle's gravity, of piles with variable gravity have nearly the same distribution. The angle of repose is not affected by the gravity, though granular pile has a randomness property of microscopic structure.
- granular pile /
- angle of repose /
- gravity /
- contact force /
- discrete element method

HTML全文

参考文献(20)

[1]	Brucks A, Arndt T, Ottino J M, et al.Behavior of flowing granular materials under variable g[J].Physical Review E, 2007, 75(3):032301.
[2]	Hofmeister P G, Blum J, Heiβelmann D.The flow of granular matter under reduced gravity conditions[J].American Institute of Physics Conference Proceedings, 2009, 1145:71-74.
[3]	Kleinhans M G, Markies H, Postema F N.Static and dynamic angles of repose in loose granular materials under reduced gravity[J].Journal of Geophysical Research, 2011, 116:E11004.
[4]	Nakashima H, Shioji Y, Kobayashi T, et al.Determining the angle of repose of sand under low-gravity conditions using discrete element method[J].Journal of Terramechanics, 2011, 48(1):17-26.
[5]	Atwood-Stone C, McEwen A.Avalanche slope angles in low-gravity environments from active Martian sand dunes[J].Geophysical Research Letters, 2013, 40(12):2929-2934.
[6]	Horganical H H N, Bell J F.Seasonally active slipface avalanches in the north polar sand sea of Mars:Evidence for a wind related origin[J].Geophysical Research Letters, 2012, 39(9):L09201.
[7]	Sullivan R, Anderson R, Biesiadecki J, et al.Cohesions, friction angles, and other physical properties of Martian regolith from Mars exploration rover wheel trenches and wheel scuffs[J].Journal of Geophysical Research, 2011, 116:E02006.
[8]	Wong J Y.Predicting the performance of rigid rover wheels on extraterrestrial surfaces based on test results obtained on earth[J].Journal of Terramechanics, 2012, 49(1):49-61.
[9]	崔燚, 李雯, 王浚, 等.梯形齿车轮月面牵引性能的离散分析[J].北京航空航天大学学报, 2010, 36(3):253-256. Cui Y, Li W, Wang J, et al.Numerical analysis on traction performance of trapezia lugged wheel by distinct element method[J].Journal of Beijing University of Aeronautics and Astronautics, 2010, 36(3):253-256(in Chinese).
[10]	Guo Z G, Chen X L, Liu H F, et al.Theoretical and experimental investigation on angle of repose of biomass-coal blends[J].Fuel, 2014, 116:131-139.
[11]	Matuttis H G, Luding S, Herrmann H J.Discrete element simulation of dense packing and heaps made of spherical and non-spherical particles[J].Powder Technology, 2000, 109(1):278-292.
[12]	Radjai F, Jean M, Moreau J J, et al.Force distributions in dense two-dimensional granular systems[J].Physical Review Letters, 1996, 77(2):274-277.
[13]	Zhang L, Wang Y J, Zhang J.Force-chain distributions in granular system[J].Physical Review E, 2014, 89(1):012203.
[14]	Thornton C, Antony S J.Quasi-static shear deformation of a soft particle system[J].Powder Technology, 2000, 109(1-3):179-191.
[15]	Chung Y C, Liao H H, Hsiau S S.Convection behavior of non-spherical particles in a vibrating bed:Discrete element modeling and experimental validation[J].Powder Technology, 2013, 237:53-66.
[16]	高峰, 李雯, 孙刚, 等.模拟月壤可行驶性的离散元数值分析[J].北京航空航天大学学报, 2009, 35(4):501-504. Gao F, Li W, Sun G, et al.Numerical analysis on travelability of lunar soil simulant by means of distinct element method[J].Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(4):501-504(in Chinese).
[17]	Alberto D R, Francesco P D M.Comparison of contact-force models for the simulation of collisions in DEM-based granular flow codes[J].Chemical Engineering Science, 2004, 59(13):525-541.
[18]	Alizadeh E, Bertrand F, Chaouki J.Comparision of DEM results and Lagrangian experimental data for the flow and mixing of granules in a rotating drum[J].AIChE Journal, 2014, 60(1):60-75.
[19]	Blum J.Astrophysical microgravity experiments with dust particles[J].Microgravity Science Technology, 2010, 22(4):517-527.
[20]	Walton O R, Pamela C, Gill K S.Effects of gravity on cohesive of fine powders:Implications for processing Lunar regolith[J].Granular Matter, 2007, 9(5):353-363.