Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision
Shaozhen Duan; Jinlong Sun
2020
发表期刊Geotechnical and Geological Engineering
ISSN0960-3182
卷号38期号:38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.
关键词Rockfall hazard Particle collision Contact model Initial rotational angular velocity Probability distribution
DOIorg/10.1007/s10706-020-01268-8
收录类别EI
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
引用统计
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/103477
专题土木工程学院
通讯作者Shaozhen Duan
作者单位The Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology
第一作者单位甘肃省土木工程防灾减灾重点实验室
通讯作者单位甘肃省土木工程防灾减灾重点实验室
第一作者的第一单位甘肃省土木工程防灾减灾重点实验室
推荐引用方式
GB/T 7714
Shaozhen Duan,Jinlong Sun. Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision[J]. Geotechnical and Geological Engineering,2020,38(38):3931-3940.
APA Shaozhen Duan,&Jinlong Sun.(2020).Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision.Geotechnical and Geological Engineering,38(38),3931-3940.
MLA Shaozhen Duan,et al."Exploration of Probability Distribution of Velocities and Trajectory of Rolling Stone Based on Stochastic Rolling Stone Collision".Geotechnical and Geological Engineering 38.38(2020):3931-3940.
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