Trajectory Analysis of the Rockfall Based on the Effect of Rotating Angular Velocity

Trajectory Analysis of the Rockfall Based on the Effect of Rotating Angular Velocity
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DOI:
10.1007/s10706-021-01863-3
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发表时间:
2021-06
影响因子:
1.7
通讯作者:
Shaozhen Duan;W. Jin;Jinlong Sun;Wenda Wang
Shaozhen Duan;W. Jin;Jinlong Sun;Wenda Wang
中科院分区:
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文献类型:
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作者:
Shaozhen Duan;W. Jin;Jinlong Sun;Wenda Wang

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滚石的轨迹开始时,通常伴随着一定的初始旋转。考虑初始旋转的影响,基于接触力学和运动学原理,分析了滚石运动的四种基本运动形式。得到了滚动岩体速度计算F公式。此外,以四川长河坝水电站危岩边坡为例,利用Rocfall软件模拟了滚石的整个运动过程,分析了初始旋转对滚石运动过程中总动能、弹跳高度和轨迹的影响。结果表明,滚石运动过程中最危险位置的确定不受初始旋转角速度的影响。但滚石在最危险位置的最大弹起高度随着初始旋转的增加而增加;滚石的初始旋转会影响最长距离和总水平距离。总动能和水平距离的概率密度分布服从高斯分布;初始旋转对中心值的影响不可忽视。在这种情况下,如果忽略旋转,落石灾害范围就会被低估,此时落石灾害发生率可达94%。滚石的初始旋转对坡度特性具有不同的敏感性。光滑坚硬的表面是最敏感的。角速度越大,斜率越敏感。因此,在研究落石运动轨迹和采取防护措施时,必须考虑摇石旋转速度和坡面材料的影响。
The trajectory of a rolling stone begins and is characteristically accompanied by a certain initial rotation. Considering the influence of the initial rotation, the four basic motion forms of a rolling rock movement are analyzed, based on contact mechanics and kinematics principles. The speed calculationF formulas for a rolling rock mass were obtained. Besides, taking the dangerous rock slope of Changheba Hydropower Station in Sichuan Province as an example, the entire moving process of a rolling stone was simulated using “Rocfall software”, and the influence of an initial rotation on total kinetic energy, bounce height, and trajectory of the rolling stone during the movement was analyzed. According to the results, the determination of the most dangerous position during the movement of the rolling stone is not be affected by the initial rotation angular velocity. However, the maximum bounce height of the rolling stone at the most dangerous position increases with the increase of the initial rotation; the initial rotation of a rolling stone affects the longest distance and total horizontal distance. The probability density distribution of total kinetic energy and horizontal distance followed the Gaussian distribution; the influence of initial rotation on the central value can not be ignored. In this case, if the rotation was ignored, the rockfall disaster range would be underestimated, the rate can reach up to 94% when. The initial rotation of a rolling stone has a different sensitivity to the slope characteristics. The smooth and hard surface was the most sensitive. The larger the angular velocity, the more sensitive the slope. Therefore, the influence of a rocking stone rotating velocity and slope surface material must be considered in investigating the trajectory of the rockfalls and the provision of protective measures.