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| Coupled numerical simulation study on particle gradation effect of the dynamic response of shed cushion under rockfall impact
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| HUANG Fuyou1，2，ZHANG Luqing1，ZHOU Jian3，ZENG Qingli2
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| (1. Key Laboratory of Shale Gas and Geoengineering，Institute of Geology and Geophysics，Chinese Academy of Sciences，Beijing 100029，China；2. College of Earth and Planetary Sciences，University of Chinese Academy of Sciences，
Beijing 100049，China；3. Key Laboratory of Urban Security and Disaster Engineering of Ministry of
Education，Beijing University of Technology，Beijing 100124，China)
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Abstract The dynamic response characteristic of rockfall impact cushion is the key basis of rock-shed design. As an important feature of cushion particle size distribution，gradation determines the distribution of particle size and affects the dynamic process of rockfall impact cushion. To study the influence of particle gradation on the dynamic response of rockfall impact cushion，the numerical simulation of the dynamic response of cushion with different gradations is carried out by using a discrete element-finite difference coupling algorithm. Under the condition that the average particle size is equal，through the analysis of impact force，central compressive stress，and impact depth of falling rock，the dynamic response mechanism of rockfall impact particle cushion is revealed. The results show that： the stability of the force chain between particles determines the dynamic response characteristics of the cushion after impact. The friction between particles is the main way of energy consumption，accounting for 70%–80% of the energy consumption. For single-peak grading，the smaller the particle size of the single peak is，the longer the force chain length is，and the weaker the stability is. When the peak particle size = 75 mm，the peak impact force is 1.9 times that of = 25 mm，and the peak compressive stress is 3.6 times. For bimodal gradation，the closer the distance between the two peaks is，the less the number of constraints around the particles is，and the worse the stability of the force chain is. When the heterogeneity coefficient = 0.65，the peak impact force is 40% larger than that when = 0.33，and the peak compressive stress is 30% larger. The uniformity of particle distribution determines the response characteristics of the cushion after impact.
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| [1] 宋 跃，姜元俊，王 萌. 碎石垫层对碎屑流冲击棚洞的缓冲效应研究[J]. 岩石力学与工程学报，2018，37(10)：2 359–2 369.(SONG Yue，JIANG Yuanjun，WANG Meng. Study on the buffering effect of crushed stone cushion on debris flow impacting shed and cave [J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(10)：2 359–2 369.(in Chinese))
[2] 梅雪峰，胡卸文，罗 刚，等. 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 Xuefeng，HU Xianwen，LUO Gang，et al. Study on recovery coefficient and peak impact force of rockfall impact based on elastic-plastic theory[J]. Vibration and Shock，2019，38(8)：14–20.(in Chinese))
[3] 章广成，唐辉明，向 欣. 冲击地面过程中落石特征参量的理论分析[J]. 岩石力学与工程学报，2012，31(增1)：2 839–2 846.(ZHANG Guangcheng，TANG Huiming，XIANG Xin. Theoretical analysis of characteristic parameters of falling rocks in the process of impact[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(Supp.1)：2 839–2 846.(in Chinese))
[4] DHAKAL S，KHAREL P. Hazard rating and event tree analysis for assessing rockfall risks along Siddhartha Highway in Siddhababa Area，Nepal[J]. International Journal of Landslide and Environment，2013，1(1)：41–42.
[5] PROCTER E，STRAPAZZON G，BALKENHOL K，et al. Search and rescue response to a large-scale rockfall disaster[J]. Wilderness and Environmental Medicine，2015，26(1)：68–71.
[6] ZHAO L，HE J W，YU Z X，et al. Coupled numerical simulation of a flexible barrier impacted by debris flow with boulders in front[J]. Landslides，2020，17(12)：2 723–2 736.
[7] 闫 鹏，方 秦，张锦华，等. 不同典型形状落石冲击砂垫层试验与量纲分析[J]. 爆炸与冲击，2021，41(7)：96–111.(YAN Peng，FANG Qin，ZHANG Jinhua，et al. Experimental study of different typical shape falling-rocks impacting on the sand cushion and dimensionless analysis[J]. Explosion and Shock Waves，2021，41(7)：96–111.(in Chinese))
[8] 王东坡，周良坤，裴向军，等. 滚石冲击棚洞砂土垫层物理模型试验及数值模拟研究[J]. 振动与冲击，2020，39(18)：195–202.(WANG Dongpo，ZHOU Liangkun，PEI Xiangjun，et al. Physical model test and Numerical Simulation of sand cushion in Rolling Stone impact shed [J]. Journal of Vibration and Shock，2020，39(18)：195–202.(in Chinese))
[9] 卢 谅，张越臣，王宗建，等. 落石冲击荷载作用下加筋土拦石墙冲击应力分布研究[J]. 岩石力学与工程学报，2021，40(5)：997–1 008.(LU Liang，ZHANG Yuechen，WANG Zongjian，et al. Study on impact stress distribution of reinforced earth retaining wall under rockfall impact load[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(5)：997–1 008.(in Chinese))
[10] CALVETTI F，PRISCO C D，VECCHIOTTI M. Experimental and numerical study of rock-fall impacts on granular soils[J]. Rivista Italiana di Geotecnica，2005，39(4)：95–109.
[11] CALVETTI F，PRISCO C D. Rockfall impacts on sheltering tunnels： Real-scale experiments[J]. Geotechnique，2012，62(10)：865–876.
[12] LAMBERT S，GOTTELAND P，NICOT F. Experimental study of the impact response of geocells as components of rockfall protection embankments[J]. Natural Hazards and Earth System Sciences，2009，9(2)：459–467.
[13] KAWAHARA S，MURO T. Effects of dry density and thickness of sandy soil on impact response due to rockfall[J]. Journal of Terramechanics，2006，43(3)：329–340.
[14] ZHU C，WANG D，XIA X，et al. The effects of gravel cushion particle size and thickness on the coefficient of restitution in rockfall impacts[J]. Natural Hazards and Earth System Sciences，2018，18(6)：1 811–1 823.
[15] 裴向军，刘 洋，王东坡. 滚石冲击棚洞砂土垫层耗能缓冲机理研究[J]. 四川大学学报：工程科学版，2016，48(1)：15–22.(PEI Xiangjun，LIU Yang，WANG Dongpo. Study on the energy dissipation of sandy soil cushions on the rock-shed under rockfall impact load[J]. Journal of Sichuan University：Engineering Science，2016，48(1)：15–22.(in Chinese))
[16] 王玉锁，徐 铭，王 涛，等. 落石冲击下无回填土拱形明洞结构可靠度设计[J]. 西南交通大学学报，2017，52(6)：1 097–1 103. (WANG Yusuo，XU Ming，WANG Tao，et al. Structural reliability design of non-backfilling arch open tunnel structure under rock-fall impaction[J]. Journal of Southwest Jiaotong University，2017，52(6)：1 097–1 103.(in Chinese))
[17] 张群利，王全才，吴 清，等. 不同结构类型棚洞的抗冲击性能研究[J]. 振动与冲击，2015，34(3)：72–76.(ZHANG Qunli，WANG Quancai，WU Qing，et al. Antiimpact performances of different kinds of shed-tunnel structures[J]. Journal of Vibration and Shock，2015，34(3)：72–76.(in Chinese))
[18] 何思明，沈 均，吴 永. 滚石冲击荷载下棚洞结构动力响应[J]. 岩土力学，2011，32(3)：781–788.(HE Siming，SHEN Jun，WU Yong. Dynamic response of shed and cave structure under rolling stone impact load[J]. Rock and Soil Mechanics，2011，32(3)：781–788.(in Chinese))
[19] 柳 春，余志祥，郭立平，等. 基于 SPH-FEM耦合方法的落石冲击拱形钢筋混凝土棚洞数值模拟[J]. 振动与冲击，2019，38(13)：118–125.(LIU Chun，YU Zhixiang，GUO Liping，et al. Numerical simulation for rockfall impacting an arch RC hangar tunnel based on SPH-FEM coupled method[J]. Journal of Vibration and Shock，2019，38(13)：118–125.(in Chinese))
[20] 王东坡，刘 浩，裴向军. 基于离散元–有限差分耦合的滚石冲击棚洞垫层动力响应研究[J]. 振动与冲击，2021，40(19)：246–253. (WANG Dongpo，LIU Hao，PEI Xiangjun. Study on dynamic response of cushion of rolling stone impact shed based on discrete element-finite difference coupling[J]. Vibration and Shock，2021，40(19)：246–253.(in Chinese))
[21] ZHANG L，LAMBERT S，NICOT F. Discrete dynamic modelling of the mechanical behaviour of a granular soil[J]. International Journal of Impact Engineering，2017，103：76–89.
[22] ZHANG L，NGUYEN N G H，LAMBERT S，et al. The role of force chains in granular materials：from statics to dynamics[J]. European Journal of Environmental and Civil Engineering，2017，21(7/8)：874–895.
[23] SHEN W，ZHAO T，DAI F. Influence of particle size on the buffering efficiency of soil cushion layer against rockfall impact[J]. Nat Hazards，2021，108(2)：1 469–1 488.
[24] SU Y，CHOI C E. Effects of particle shape on the cushioning mechanics of rock-filled gabions[J]. Acta Geotech，2021，16(4)：1 043–1 052.
[25] NAITO N，MAEDA K，KONNO H，et al. Rockfall impacts on sand cushions with different soil mechanical characteristics using discrete element method[J]. Soils and Foundations，2020，60(2)：384–397.
[26] JIA M，YANG Y，LIU B，et al. PFC/FLAC coupled simulation of dynamic compaction in granular soils[J]. Granular Matter，2018，20(4)：1–12.
[27] BOURRIER F，NICOT F，DARVE F. Physical processes within a 2D granular layer during an impact[J]. Granular Matter，2008，10(6)：415–437.
[28] UTILI S，ZHAO T，HOULSBY G T. 3D DEM investigation of granular column collapse：evaluation of debris motion and its destructive power[J]. Engineering Geology，2015，186：3–16.
[29] YUAN S，ZHAO P，LI L，et al. A discrete numerical study of the effect of the thickness and the porosity of the sand cushion on the impact response due to the rockfall[J]. CMES-Computer Modeling in Engineering and Sciences，2022，130(3)：1 683–1 698.
[30] SU Y，CUI Y，NG C W，et al. Effects of particle size and cushioning thickness on the performance of rock-filled gabions used in protection against boulder impact[J]. Canadian Geotechnical Journal，2018，56(2)：198–207.
[31] 铁道第二勘测设计院. 铁路工程设计技术手册·隧道[M]. 北京：中国铁道出版社，1999：141–191.(The Second Railway Survey and Design Institute. Technical Manual of Railway Engineering design·Tunnel[M]. Beijing：China Railway Publishing House，1999：141–191.(in Chinese))
[32] LABIOUSE V，DESCOEUDRES F，MONTANI S. Experimental study of rock sheds impacted by rock blocks[J]. Structural Engineering International，1996，3(1)：171–176.
[33] 叶四桥，陈洪凯，唐红梅. 落石冲击力计算方法的比较研究[J]. 水文地质工程地质，2010，37(2)：59–64.(YE Siqiao，CHEN Hongkai，TANG Hongmei. Comparative study on calculation methods of rock impact force[J]. Hydrogeology and Engineering Geology，2010，37(2)：59–64.(in Chinese))
[34] PICHLER B，HELLMICH C，MANG H A. Impact of rocks onto gravel design and evaluation of experiments[J]. International Journal of Impact Engineering，2005，31(5)：559–578.
[35] KWAN J S. Supplementary technical guidance on design of rigid debris-resisting barriers[R]. Hong Kong：Hong Kong SAR Government，2012.
[36] CHEN T，ZHANG G，ZHANG C，et al. Normal impact test of a spherical rockfall[J]. Geotechnical and Geological Engineering，2019，37(7)：4 889–4 899.
[37] PRISCO C，VECCHIOTTI M. Design charts for evaluating impact forces on dissipative granular soil cushions[J]. Journal of Geotechnical and Geoenvironmental Engineering，2010，136(11)：1 529–1 541.
[38] THORNTON C. Numerical simulations of deviatoric shear deformation of granular media[J]. Géotechnique，2000，50(1)：43–53.
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2023, Vol. 42 
