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落石运动旋转速度计算方法
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Calculation Method of Angular Velocity For Rockfall Motion
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    摘要:

    落石旋转速度是落石冲击力设计与运动路径计算往往忽略的关键问题.针对落石自由坠落、滑动、斜抛运动、碰撞以及滚动的5个运动过程,分析了5个过程对落石旋转速度的响应,推导了滚动与碰撞条件下落石旋转速度公式,并以万州天生城福建小学危岩落石为例进行了算例分析,初步得到以下结论:忽略空气阻力的条件下,落石旋转速度仅与自由坠落、碰撞以及滚动过程相关;碰撞过程落石旋转速度与初始旋转速度、碰撞周期、坡面坡度、落石质量正相关,而与落石半径、碰撞冲击摩擦系数以及法向恢复系数负相关;而滚动过程落石旋转速度与初始旋转速度、滚动周期、坡面坡度正相关,而与落石半径、滚动摩擦系数负相关;算例分析得出,采用本文算法和Rocfall程序计算得到的旋转速度曲线变化趋势一致,平均误差仅为5.5%,完全满足工程设计计算需求.

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    The angular velocity is always neglected, which is the key problem of impact force design and movement path calculation of rockfall. This paper analyzed the response of the five process, i. e. free falling, sliding, projectile motion, impacting and rolling to the angular velocity of rockfall, and deduced the angular velocity formulas of rockfall under the rolling and impacting movement.Meanwhile, taking the Fujian Primary Pchool rockfall in Tianshengcheng, Wanzhou District for example, it can be concluded that the angular velocity was only related to free falling, impacting and rolling when it ignored the conditions of air drag; the angular velocity of rockfall under the impacting movement presented positive correlation with the initial angular velocity, impacting period, slope gradient, rockfall mass while it presented negative correlation with the rockfall radius, impacting friction coefficient and normal restoring coefficient; the angular velocity of rockfall under the rolling movement developed positive correlation with the initial angular velocity, rolling period, slope gradient, while it developed negative correlation with the rockfall radius, rolling friction coefficient. Through the case of Fujian Primary School rockfall,this paper obtained that the variety trend of angular velocity curve was consistent with this paper's methodology and the Rocfall Program, and the average error is just 5.5%. Thus, the methodology proposed in this paper fully meets the engineering requirement.

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周云涛?覮,石胜伟,张 勇,蔡 强,唐红梅,陈洪凯.落石运动旋转速度计算方法[J].湖南大学学报:自然科学版,2018,45(S0):116~122

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  • 在线发布日期: 2018-12-29
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