基于弹塑性理论的落石碰撞恢复系数和峰值冲击力研究

2. Engineering Laboratory Combined with National and Local of
Spatial Information Technology 〇〇 H
Southwest Jiaotong University， Chengdu 610031，China;
3. Sichuan Provincial Transport Department
incident angle. W h e n the impact angle is the same，the coefficient of restitution is negatively correlated witli the velocity，
and the impact force is linearly related to the velocity. The movement state of t!ie rockfall depends on the initial incidence
结构的失效或材料浪费。
关 键 词 ：落 石 ;斜 碰 撞 ; 能量原理; 冲击力; 恢复系数
中图分类号：P642.21
文 献 标 志 码 ：A
Байду номын сангаас
DOI ：10. 13465/j. cnki. jvs. 2019.08. 003
A study on the corfficient of restitution and peak impact
Highway Planning，Survey， Design and
Research Institute， Chengdu
Abstract； Considering the elastic-plastic characteristics of soils and using the classical contact theory，a new
coefficient
of re
and will cause the failure of tiie protective structure or material waste.
Key words ；rock-fall; oblique impact $ energy principle $ impact force $ coefficient of restitution
2 . 西南交通大学高速铁路运营安全空间信息技术国家地方联合工程实验室，成 都 610031 $ 3 . 四川省交通运输厅公路规划勘察设计研究院，成 都 610041)
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 人 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; 得到以初始人射速度和人射 角为变参量下的恢复系数和冲击力的变化规律。结 果表明：当人射速度相同时，恢复系数与人射角呈正相关; 当冲击人射 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人射条件，通过坡 面条件及人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
崩塌落石是高山峡谷区常见的斜坡地质灾害之
YFC 基 金 项 目 ：国 家 重 点 研 发 计 划 （2018 1505401 ) $ 四川省自然资源厅
“8. 8 ”九寨沟地震灾区生态化地质灾害防治重大科技支撑研究课题
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 restitutionand the impact force under the initial incident rate and the incident angle were obtained. The
results show thatwhen the incident velocity is the same，the coefficient of restitution is positively correlated with the
第 38卷第8 期
振动与冲击
JOURNAL OF VIBRATION AND SHOCK
Vol.38 No.8 2019
基于弹塑性理论的落石碰撞恢复系数和峰值冲击力研究
梅 雪 峰 :，胡卸文:，2, 罗 刚 :，杜映锦:，马洪生3 , 吴 建 利 1 ( 1 .西南交通大学地球科学与环境工程学院，成 都 610031 $
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
, , , , , of rockfall based on the elastic-plastic theory
MEI Xuefeng1 HU Xiewen1,2 LUO Gang1 DU Yingjin1 MA Hongsheng3 WU JianD
(1. Faculty of Geosciences and Environment Engineering， Southwest Jiaotong University， Chengdu 610031， China $