您的位置:山东大学 -> 科技期刊社 -> 《山东大学学报(理学版)》

山东大学学报(理学版) ›› 2017, Vol. 52 ›› Issue (5): 70-74.doi: 10.6040/j.issn.1671-9352.0.2016.534

• • 上一篇    下一篇

单颗粒在台阶上滚动行为研究

刘野,胡林*,白光富   

  1. 贵州大学物理学院, 贵州 贵阳 550025
  • 收稿日期:2016-11-15 出版日期:2017-05-20 发布日期:2017-05-15
  • 通讯作者: 胡林(1953— ),女,博士,教授,研究方向为软凝聚态物理. E-mail:hulin53@sina.com E-mail:596984910@qq.com
  • 作者简介:刘野(1991— ),女,硕士,研究方向为凝聚态物理. E-mail:596984910@qq.com
  • 基金资助:
    国家自然科学基金资助项目(11264006);贵州大学引进人才科研基金资助项目(201334)

Study on the behavior of a single particle rolling down on sidestep

LIU Ye, HU Lin*, BAI Guang-fu   

  1. College of Physics, Guizhou University, Guiyang 550025, Guizhou, China
  • Received:2016-11-15 Online:2017-05-20 Published:2017-05-15

摘要: 在装有100级台阶的斜面上进行单颗粒滚动实验,用统计方法研究小球运动停止位置与小球尺寸、初速度、台阶参数等的关系,给出描述小球在台阶上滚动的运动方程,并讨论了物体在坡面滚动行为与物体尺度、运动初速度、阻力系数、滚动摩擦阻力之间的半定量关系;根据统计方法用计算机模拟实验,给出相应的拟合参数并进行讨论,模拟结果与实验基本吻合。

关键词: 台阶, 滚动行为, 颗粒物质

Abstract: A single particle rolling experiment was carried out on a slope with 100 steps. The relationship between the ball stop position and the size of the ball, the initial velocity and the step parameters were studied by statistical method. The equations of motion were described. And the semi-quantitative relationship between the rolling behavior of the object and the object scale, the initial velocity of the movement, the resistance coefficient and the rolling friction resistance was discussed. According to the statistical method, the corresponding fitting parameters are given and discussed according to the computer simulation experiment. The simulation results are in good agreement with the experiment.

Key words: rolling behavior, sidesteps, granular material

中图分类号: 

  • O469
[1] 杜学能,胡林,孔维姝,等.颗粒物质内部滑动摩擦力的非线性振动现象[J].物理学报,2006,55(12):6488-6493. DU Xueneng, HU Lin, KONG Weishu, et al. On the nonlinear oscillation of internal sliding friction in particulate matter[J]. Acta Phys Sin, 2006, 55(12):6488-6493.
[2] NASUNO S, KUDROLLI A, BAK A, et al. Time-resolved studies of stick-slip friction in sheared granular layers[J]. Physical Review E, 1998, 58(2):2161-2171.
[3] GÉMINARD J C, LOSERT W, GOLLUB J P. Frictional mechanics of wet granular material[J]. Physical Review E, 1999, 59(5):5881-5890.
[4] CAMPBELL C S. Granular material flows-an overview[J]. Powder Technology, 2006, 162(3): 208-229.
[5] FORTERRE Y, POULIQUEN O. Flows of dense granular media[J]. Annual Review of Fluid Mechanics, 2008, 40:1-24.
[6] VASCONCELOS G L, VEERMAN J J P. Geometrical model for a particle on a rough inclined surface[J]. Physical Review E, 1999, 59(5):5641-5646.
[7] VEERMAN J J P, CUNHA F V, VASCONCELOS G L. Dynamics of a granular particle on a rough surface with a staircase profile[J]. Physica D: Nonlinear Phenomena, 2002, 168:220-234.
[8] VALANCE A, BIDEAU D. Dynamics of a ball bouncing on a rough inclined line[J]. Physical Review E, 1998, 57(2):1886.
[9] MITARAI N, NAKANISHI H. Instability of dilute granular flows on rough slope[J]. Journal of the Physical Society of Japan, 2001, 70(10):2809-2812.
[10] MITARAI N, NAKANISHI H. Linear stability analysis of rapid granular flow down a slope and density wave formation[J]. Journal of Fluid Mechanics, 2004, 507:309-334.
[11] MITARAI N, NAKANISHI H. Hard-sphere limit of soft-sphere model for granular materials: Stiffness dependence of steady granular flow[J]. Physical Review E, 2003, 67(2):021301.
[12] YAN H, SHI Q, HUANG D, et al. Dynamics of a viscous ball rolling down on a rigid staircase[J]. Physica A: Statistical Mechanics and its Applications, 2007, 374(2):524-532.
[1] 杨林, 胡林, 张兴刚. 边界摩擦对二维堆积颗粒体系几何结构的影响[J]. 山东大学学报(理学版), 2015, 50(09): 7-12.
[2] 周向玲, 麦麦提吐逊·阿布都热依木, 俞胜清, 李华振. 自然沙堆积的静止角研究[J]. 山东大学学报(理学版), 2015, 50(07): 89-94.
[3] 王影, 孔维姝, 胡林, 史彤阳, 赵闯. 竖直振动激励下颗粒块的能量耗散[J]. 山东大学学报(理学版), 2015, 50(05): 30-34.
[4] 高立科,胡林*,张兴刚,邓雄. 二维静态颗粒体系中转向系数与#br# 体积分数的实验研究[J]. 山东大学学报(理学版), 2014, 49(1): 54-58.
[5] 赵闯,邓雄,胡林*. 三维受压剪切颗粒体系的力链结构[J]. 山东大学学报(理学版), 2014, 49(05): 20-23.
[6] 邓雄,胡林*,赵闯,高立科. 颗粒物质三维直剪实验的数值模拟[J]. 山东大学学报(理学版), 2014, 49(03): 22-26.
[7] 彭政,王璐珠,蒋亦民. 颗粒物质与固体交界面静摩擦系数的测量与分析[J]. J4, 2011, 46(1): 42-45.
[8] 李湘群,蒋亦民,彭政,符力平,左静,郑鹤鹏,王璐珠. Rankine被动应力状态粮仓的Janssen行为[J]. J4, 2010, 45(9): 101-104.
[9] . 撞击物在二维颗粒床中穿行的运动过程[J]. J4, 2009, 44(7): 29-32.
[10] 胡云 胡林. 颗粒物质在二维竖直环仓内的输运及隆起现象[J]. J4, 2009, 44(11): 25-28.
[11] 郭长睿,蔡绍洪,杨 洋, . 单层水平振动颗粒系统中颗粒分离的研究[J]. J4, 2007, 42(3): 44-46 .
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!