| 边坡落石运动轨迹计算新方法 |
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| 引用本文： | 杨海清,周小平.边坡落石运动轨迹计算新方法[J].岩土力学,2009,30(11):3411-3416. |
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| 作者姓名： | 杨海清 周小平 |
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| 作者单位： | 重庆大学,土木工程学院,重庆,400045 |
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| 基金项目： | 国家自然科学基金资助项目，教育部新世纪优秀人才支持计划 |
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| 摘 要： | 考虑落石形状对落石运动轨迹的影响，将落石近似成椭圆形。根据落石运动的5种常见形式，即自由落体运动、斜抛运动、碰撞、滑动和滚动，分别得到了各种运动形式的运动速度计算公式。在碰撞阶段考虑了地面的弹塑性变形，得到了与碰撞前速度、落石形状和地面材料有关的恢复系数计算公式，并根据接触力学的有关理论得到了碰撞冲击力的计算公式，给出了落石连续滚动的判别条件。将理论公式应用于重庆万州首立山落石运动轨迹预测，验证了理论公式的可行性和有效性。
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| 关 键 词： | 椭圆形落石 弹塑性碰撞 恢复系数 运动轨迹 |
| 收稿时间： | 2008-03-10 |
A new approach to calculate trajectory of rockfall |
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| YANG Hai-qing,ZHOU Xiao-ping.A new approach to calculate trajectory of rockfall[J].Rock and Soil Mechanics,2009,30(11):3411-3416. |
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| Authors: | YANG Hai-qing ZHOU Xiao-ping |
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| Institution: | College of Civil Engineering, Chongqing University, Chongqing 400045, China |
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| Abstract: | In order to take the effects of the profile on the trajectory of rockfall into account, the boulder is approximately supposed to be elliptic. According to the five common forms of rockfall, containing rolling, slide, collision, freely falling body movement and parabolic motion, the formulae to calculate the velocity of different kinds of motion are proposed respectively. When the boulder collide with earth, the elastoplastic deformations of earth are considered. Coefficient of restitution, which relates to the velocity before collision, the shape of boulder and geomaterial of earth, is presented. Moreover the impulse force due to collision are obtained on the basis of contact mechanics. Besides, the criterion of continuous rolling is put forward. Finally, an illustrative example is given to show the capability of the presented model to predict the rockfall trajectory of Shoulishan in Wanzhou of Chongqing. |
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| Keywords: | elliptic boulder elastoplastic collision coefficient of restitution movement trajectory |
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