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
刊名	Geotechnical and Geological Engineering
	2020-08-01
卷号	38 期号:4 页码:3931-3940
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
ISSN号	09603182
DOI	10.1007/s10706-020-01268-8
英文摘要	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.
WOS研究方向	Engineering
语种	英语
出版者	Springer Science and Business Media Deutschland GmbH
WOS记录号	WOS:000546731100041
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150799]
专题	土木工程学院
作者单位	The Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou; Gansu Province; 730050, China
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.