基于弹塑性理论的落石碰撞恢复系数和峰值冲击力研究

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振动与冲击 ›› 2019, Vol. 38 ›› Issue (8) : 14-20.

论文

梅雪峰1，胡卸文1,2，罗刚1，杜映锦1，马洪生3，吴建利1

作者信息 +

A study on the coefficient of restitution and peak impactof rockfall based on the elastic-plastic theory

MEI Xuefeng1,HU Xiewen1,2,LUO Gang1,DU Yingjin1,MA Hongsheng3,WU Jianli1

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文章历史 +

摘要

考虑土体的弹塑性特征，利用经典接触理论，假设在法向与切向相互独立的基础上，根据入射条件，提出了一种计算切向力的新模型。推导了落石碰撞过程中的能量恢复系数和冲击力的计算公式。得到以初始入射速度和入射角为变参量下的恢复系数和冲击力的变化规律。结果表明：当入射速度相同时，恢复系数与入射角呈正相关；当冲击入射角相同时，恢复系数与速度呈负相关，而冲击力与速度呈线性正相关；落石回弹的运动状态取决于初始入射条件，通过坡面条件及入射条件对可能掉落的危岩体进行运动形态的判别；目前普遍采用的Thornton速度恢复系数偏大，会造成防护结构的失效或材料浪费。

Abstract

Considering the elastic-plastic characteristics of soils and using the classical contact theory, a new model for calculating the tangential force was proposed based on the incident conditions.The calculation formula of the energy coefficient of restitution and impact force during the collision process was deduced.And the change rule of the coefficient of restitution and the impact force under the initial incident rate and the incident angle were obtained.The results show that when the incident velocity is the same, the coefficient of restitution is positively correlated with the incident angle.When the impact angle is the same, the coefficient of restitution is negatively correlated with the velocity, and the impact force is linearly related to the velocity.The movement state of the rockfall depends on the initial incidence conditions.Through the slope conditions and the incident conditions on the possible decline of the dangerous rock body, the form of movement was determined.The current commonly used Thornton coefficient of restitution of speed is too large, and will cause the failure of the protective structure or material waste.

导出引用

梅雪峰1，胡卸文1,2，罗刚1，杜映锦1，马洪生3，吴建利1. 基于弹塑性理论的落石碰撞恢复系数和峰值冲击力研究[J]. 振动与冲击, 2019, 38(8): 14-20

MEI Xuefeng1,HU Xiewen1,2,LUO Gang1,DU Yingjin1,MA Hongsheng3,WU Jianli1. A study on the coefficient of restitution and peak impactof rockfall based on the elastic-plastic theory[J]. Journal of Vibration and Shock, 2019, 38(8): 14-20

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