«上一篇/Previous Article|本期目录/Table of Contents|下一篇/Next Article»

《山地学报》[ISSN:1008-2186/CN:51-1516]

卷:

期数:

2020年第3期

页码:

416-424

栏目:

山地灾害

出版日期:

2020-07-20

文章信息/Info

Title:

Theoretical Analysis of the Random Collision Model of Rolling Stone Particle

文章编号:

1008-2786-(2020)3-416-09

作者:

孙金龙; 段绍臻^*

兰州理工大学 甘肃省土木工程防灾减灾重点实验室,兰州730050

Author(s):

SUN Jinlong; DUAN Shaozhen^*

Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou 730050, China

关键词:

滚石;  碰撞;  反弹速度;  初始旋转;  运动轨迹

Keywords:

rolling stone;  collision;  rebound velocity;  initial rotation;  motion trajectory

分类号:

P642

DOI:

10.16089/j.cnki.1008-2786.000521

文献标志码:

A

摘要:

准确预测滑坡滚石随机碰撞后的力学特性对滚石灾害预测与防治工作具有重要的意义。为了探究影响滚石—壁面碰撞过程的随机因素,本文选取了碰撞过程中4个主要影响因素(入射速度、初始旋转角速度、入射角度以及碰撞角度),建立滚石随机碰撞理论模型,基于接触理论得到滚石碰撞过程中的基本方程,进而推导出滚石碰撞后速度公式,并且结合工程算例分析了入射速度、入射角以及初始旋转角速度对滚石的反弹速度、运动轨迹以及总动能的影响。结果显示:(1)滚石颗粒入射速度、角度以及旋转角速度对碰撞过程影响显著;(2)当滚石入射速度增加时,滚石碰后水平运动距离呈线性增大,垂向最大弹跳高度和碰后总动能成幂函数型增大;(3)当滚石入射角增大时,滚石碰后水平运动距离、垂向弹跳高度均呈减小趋势,前者幅度远大于后者,碰后总动能随着入射角的增大不断减小;(4)当滚石的初始旋转由顺时针变为逆时针增大时,滚石发生回弹现象,水平运动距离不断增大,垂向最大弹跳高度逐渐减小,碰后的总动能随着初始旋转的改变先减小后增大。该随机碰撞模型可为滚石的运动轨迹以及冲击能量的预测以及滚石灾害防治提供一定的理论依据。

Abstract:

An accurate prediction of the mechanical features of the wall rolling stone particle after the random collision is vital for predicting, preventing, and managing the rockfall hazards. To study the effect of random factors of the rolling stone-wall surface collision process on the motion features of the rolling stone, we selected four primary influencing factors of the collision process(incident velocity, initial angular velocity of rotation, angle of incidence, and angle of collision). The random collision model of a rolling stone was constructed. Based on the basic equation of the rolling stone collision process obtained from the contact theory, the velocity formula after rolling stone collision was derived. Then, the effect of incident velocity, angle of incidence, and initial angular velocity of rotation on the rebound velocity, motion trajectory, and total kinetic energy of rolling stones were analyzed through an engineering example. The incident velocity, angle of incidence, and initial angular velocity of rotation of the rolling stone had a strong effect on the collision process. The horizontal distance of the rolling stone after the collision increased linearly with its incident velocity, while the vertical maximum jumping height and total kinetic energy after the collision obeyed a power law. As the incident angle of the rolling stones increased, both the distance of horizontal motion and the vertical maximum jumping height after the collision decreased. Moreover, the former amplitude drop was much higher than that of the latter. The total kinetic energy of the rolling stones declined continuously after the collision as the incident angle increased. As the clockwise direction of the rolling stone initial rotation changed to anticlockwise one, the rolling stone rebounded. The horizontal distance increased continuously, while the vertical maximum jumping height decreased gradually. The total kinetic energy after collision first decreases and then increases with the change of the initial rotation. This random collision model is instrumental in the prediction of the rolling stone motion trajectory and impact energy, as well as the control and prevention of rockfall hazards.

备注/Memo

备注/Memo:

收稿日期(Received date):2019-07-25; 改回日期(Accepted date):2020-05-27
基金项目(Foundation item):国家自然科学基金项目(11702124)。[National Natural Science Foundation of China(11702124)]
作者简介(Biography):孙金龙(1994-),男,河南三门峡人,硕士研究生,主要研究方向:颗粒系统力学性能。[SUN Jinlong(1994-), male, born in Sanmenxia, Henan province, M.Sc. candidate, research on mechanical properties of particle system] E-mail: 718707607@qq.com
*通讯作者(Corresponding author):段绍臻(1982-),女,博士,副教授,主要研究方向:颗粒系统力学性能及结构工程。[DUAN Shaozhen(1982-), female, Ph.D., associate professor, research on mechanical properties and structural engineering of granular systems] E-mail: dszbest@126.com

常用功能

更新日期/Last Update: 2020-05-30