Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision

doi:10.1007/s10706-020-01268-8

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	Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision
	Duan, Shaozhen; Sun, Jinlong
	2020-08
发表期刊	Geotechnical and Geological Engineering
ISSN	09603182
卷号	38 期号:4 页码:3931-3940
摘要	Rockfall is one of the common geological disasters in China, which causes huge losses to the country and the people. Based on the impulse and impulse moment theorems, and considering the stochastic factors in the process of rolling stone collision, a stochastic collision model of the rockfall-wall is established, and the analytical solution for the velocity of the rolling stone after collision is obtained. When considering the initial rotation of the rolling stone, the predicted result from the model agrees with the experimental result, and when the initial rotation is ignored, the result obtained from the model will underestimate/overestimate the rebound velocity, and the maximum reaches 20%. Furthermore, the probability distribution and the fit curve for the velocity and trajectory of the rolling stone depends on the project. The result shows that the rebound velocity and angle of the rolling stone follow a typical Gaussian distribution, and the horizontal distance and bounce height follow the Gaussian and exponential distribution, respectively. The prediction of the velocity and trajectory of the rolling stone provides a theoretical basis for the optimal design of engineering structures. © 2020, Springer Nature Switzerland AG.
关键词	Angular distribution Angular velocity Probability distributions Rock bursts Stochastic systems Trajectories Contact modeling Distribution of velocity Engineering structures Exponential distributions Geological disaster Particle collision Rockfall hazard Stochastic factors
DOI	10.1007/s10706-020-01268-8
收录类别	EI ; ESCI
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Geological
WOS记录号	WOS:000546731100041
出版者	Springer Science and Business Media Deutschland GmbH
EI入藏号	20201208325375
EI主题词	Stochastic models
EI分类号	502.1 Mine and Quarry Operations ; 922.1 Probability Theory ; 961 Systems Science
来源库	WOS
引用统计	无
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/150799
专题	土木工程学院
通讯作者	Duan, Shaozhen
作者单位	Lanzhou Univ Technol, Key Lab Disaster Prevent & Mitigat Civil Engn Gan, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	兰州理工大学
通讯作者单位	兰州理工大学
第一作者的第一单位	兰州理工大学
推荐引用方式 GB/T 7714	Duan, Shaozhen,Sun, Jinlong. Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision[J]. Geotechnical and Geological Engineering,2020,38(4):3931-3940.
APA	Duan, Shaozhen,&Sun, Jinlong.(2020).Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision.Geotechnical and Geological Engineering,38(4),3931-3940.
MLA	Duan, Shaozhen,et al."Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision".Geotechnical and Geological Engineering 38.4(2020):3931-3940.