Laboratory investigation of the effect of rockfall shape and size on
coefficient of restitution

JI Zhong-min; TANG Yi-ju; WU Fa-quan; LIU Jing; CHEN Tian-li; CHEN Zhi-jian

doi:10.16285/j.rsm.2020.0992

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Laboratory investigation of the effect of rockfall shape and size on coefficient of restitution

更新时间：2026-06-25

- Laboratory investigation of the effect of rockfall shape and size on coefficient of restitution
- Vol. 42, Issue 3, Pages: 665-672(2021)
- 作者机构：
  
  1. 河北工程大学地球科学与工程学院,河北,邯郸,056038
  2. 河南理工大学安全科学与工程学院,河南,焦作,454003
  3. 河南工业和信息化职业学院资源环境系，河南焦作，4540003
  4. 绍兴文理学院土木工程学院,浙江,绍兴,312000
  5. 河海大学地球科学与工程学院,江苏,南京,211100
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2020.0992
  CLC： P642.2
- Online First：15 March 2021，
  
  Published：2021
- 稿件说明：
移动端阅览
JI Zhong-min, TANG Yi-ju, WU Fa-quan, et al. Laboratory investigation of the effect of rockfall shape and size on coefficient of restitution[J]. 2021, 42(3): 665-672.
DOI：

JI Zhong-min, TANG Yi-ju, WU Fa-quan, et al. Laboratory investigation of the effect of rockfall shape and size on coefficient of restitution[J]. 2021, 42(3): 665-672. DOI： 10.16285/j.rsm.2020.0992.

摘要

为了研究落石形状和尺寸对恢复系数的影响，通过专门设计的落石碰撞测试装置，分别展开10种不同形状和5种不同尺寸的试块与坡面的碰撞测试。基于冲击动力学理论对试验结果进行分析，法向恢复系数Rn对试块形状的变化非常敏感，且非棱角状试块的Rn值明显高于棱角状试块。非棱角状试块Rn值大小依次为球形＞椭球＞球底圆锥＞圆柱＞圆盘，棱角状试块的Rn值大小依次为正二十面体＞正方体＞正四面体＞长方体＞三角板。综合考虑试块的几何构型和表面积分布特征，引入一个新的形状量化指标——形状因子?，其与非棱角状试块和棱角状试块的Rn值分别呈强线性正相关。相较于Rn，试块形状对切向恢复系数Rt的影响较弱，且棱角状试块的Rt值整体略大于非棱角试块。试块尺寸对Rn和Rt的影响均较为显著，且与Rn和Rt均呈良好的线性负相关关系。这些获得的规律可为落石灾害的准确预测提供重要参考。

Abstract

In order to study the effect of rockfall shape and size on the coefficient of restitution (COR)

ten test blocks with different typical shapes and five test blocks with different sizes were adopted to conduct rockfall impact tests by a specially designed device. Based on the impact dynamics theory

the analysis of test results show that the normal COR (Rn) is very sensitive to the change of the block shape

and the Rn values of the non-angular shaped blocks are significantly higher than that of the angular shaped blocks. The Rn values of five non-angular shaped blocks are spherical > ellipsoid > cone with spherical base > cylinder > disk

and those of five angular shaped blocks are icosahedron > cube > tetrahedron > cuboid > triangle. Considering the geometric configuration and surface area distribution characteristics of the blocks

a new comprehensive shape quantification index-shape factor (?) is introduced

which has strong linear positive correlations with the Rn values of non-angular and angular shaped blocks respectively. Compared with Rn

the effect of the block shape on the tangential COR (Rt) is relatively weak

and the overall Rt values of the angular shaped blocks are slightly larger than that of the non-angular shaped blocks. Moreover

the size of the block has a significant impact on Rn and Rt. There are good linear negative correlations between the test block size and Rn and Rt. The rules obtained in this study provide important references for accurate prediction of rockfall disasters.

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