Numerical analysis of dynamic response and impact resistance of a large-span rock shed in a tunnel under rockfall impact
-
摘要: 为研究大跨度棚洞在落石冲击下的力学性能以及轻质土的抗冲击性能,根据所确定的落石冲击能量,利用动力有限元数值方法对山岭隧道大跨度棚洞受落石冲击作用的动力响应进行了分析,研究了棚洞钢筋混凝土结构受落石冲击作用的损伤特性,将不同工况下的冲击深度时程曲线和冲击力时程曲线进行了对比,比较了棚洞顶部回填普通土和轻质土时对落石冲击作用的缓冲效果,并给出了棚洞顶部回填材料及其回填土厚度的建议。Abstract: In this work, based on the determination of the rockfall impact energy and using the dynamic finite element numerical method, we analyzed dynamic responses of large-span shed-tunnels of mountain tunnels under rockfall impact, and investigated the characteristics of damages suffered by the shed-tunnel structure's reinforced-concrete. The impact depth time-history curve and impact force time-history curve under different conditions were presented for comparison and different buffering effects were also summarized for comparison between the common soil and the light soil on which shed-tunnels were constructed. Meanwhile, suggestions concerning the choice of backfilled soil and the propriety of its thickness were proposed. The results from our study will be valuable for the design of mountain tunnels' large-span shed-tunnels and the prevention of rockfall that may damage them.
-
Key words:
- solid mechanics /
- dynamic response /
- rockfall /
- impact load /
- large-span shed-tunnel /
- light soil /
- concrete damage
-
表 1 材料参数
Table 1. Parameters of materials
材料 ρ/(kg·m-3) E/MPa ν 混凝土 2 500 - - 钢筋 7 800 2.06×105 0.12 土垫层 1 500 15 0.35 落石 2 500 5.0×104 0.3 表 2 不同冲击能量下混凝土损伤体积
Table 2. Damage volume of concrete vs. different impact energies
Ei/kJ V/m3 ηV/% 框架 盖板 框架 盖板 65 1.15 0 0.76 0 130 1.73 0 1.14 0 260 2.14 0.58 1.42 2.26 520 3.90 1.02 2.58 4.02 1 040 7.74 1.79 5.12 7.04 表 3 不同垫层混凝土损伤体积对比
Table 3. Comparison of concrete damage with different cushionss
垫层 V/m3 ηV/% 框架 盖板 框架 盖板 土垫层 2.144 0.576 1.42 2.26 轻质土 2.032 0 1.34 0 表 4 钢筋应力对比
Table 4. Comparison of steel stress
垫层 σi/MPa α/m ηα/% 框架 盖板 框架 盖板 框架 盖板 土垫层 95.3 78.9 172.8 120.8 7.35 5.53 轻质土 95.0 22.9 133.6 11.2 5.68 0.51 表 5 位移对比
Table 5. Comparison of displacement
垫层 s0/mm si/mm ss/mm 框架 盖板 框架 盖板 框架 盖板 土垫层 2.7 3.9 2.0 2.4 0.4 0.6 轻质土 2.2 3.4 2.0 2.4 0.2 0.2 表 6 不同垫层厚度下混凝土损伤体积
Table 6. Damage volume of concerte at different thicknesses
l/m V/m3 ηV/% 框架 盖板 框架 盖板 0.6 1.79 0.43 1.18 1.70 1.0 1.84 0 1.22 0 1.4 2.03 0 1.34 0 1.8 2.06 0 1.36 0 2.2 2.25 0 1.49 0 -
[1] 叶四桥, 陈洪凯, 许江.落石运动模式与运动特征现场试验研究[J].土木建筑与环境工程, 2011, 33(2):18-23. http://d.old.wanfangdata.com.cn/Periodical/cqjzdxxb201102004Ye Siqiao, Chen Hongkai, Xu Jiang. Rockfalls movement mode and movement features by field tests[J]. Journal of Civil, Architectural & Environmental Engineering, 2011, 33(2):18-23. http://d.old.wanfangdata.com.cn/Periodical/cqjzdxxb201102004 [2] Azzoni A, La Barbera G, Zaninetti A. Analysis and prediction of rockfalls using a mathematical model[C]//International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts. Oxford, UK: Pergamon Press, 1995, 32(7): 709-724. [3] 张路青, 杨志法, 张英俊.公路沿线遭遇滚石的风险分析—方法研究[J].岩石力学与工程学报, 2005(S2):5543-5548. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=6197706Zhang Luqing, Yang Zhifa, Zhang Yingjun. Risk analysis of encountering rockfalls on highway and method study[J]. Chinese Journal of Rock Mechanics and Engineering, 2005(S2):5543-5548. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=6197706 [4] 王玉锁, 杨国柱.隧道洞口段危岩落石风险评估[J].现代隧道技术, 2010, 47(6):33-39. doi: 10.3969/j.issn.1009-6582.2010.06.006Wang Yusuo, Yang Guozhu. Rockfall risk assessment for a tunnel portal section[J]. Modern Tunnelling Technology, 2010, 47(6):33-39. doi: 10.3969/j.issn.1009-6582.2010.06.006 [5] Gupta N K, Iqbal M A, Sekhon G S. Effect of projectile nose shape, impact velocity and target thickness on the deformation behavior of layered plates[J]. International Journal of Impact Engineering, 2008, 35(1):37-60. doi: 10.1016/j.ijimpeng.2006.11.004 [6] 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):329-3340. doi: 10.1016/j.jterra.2005.05.009 [7] Labiouse V, Descoeudres F, Montani S. Experimental study of rock sheds impacted by rock blocks[J]. Structural Engineering International, 1996, 6(3):171-176. doi: 10.2749/101686696780495536 [8] 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. doi: 10.1016/j.ijimpeng.2004.01.007 [9] 叶四桥, 陈洪凯, 唐红梅.落石冲击力计算方法[J].中国铁道科学, 2010, 31(6):56-62. http://d.old.wanfangdata.com.cn/Periodical/zgtdkx201006010Ye Siqiao, Chen Hongkai, Tang Hongmei. The calculation method for the impact force of the rockfall[J].China Railway Science, 2010, 31(6):56-62. http://d.old.wanfangdata.com.cn/Periodical/zgtdkx201006010 [10] 张中俭, 张路青.滚石灾害防治方法浅析[J].工程地质学报, 2007, 15(5):712-717. doi: 10.3969/j.issn.1004-9665.2007.05.022Zhang Zhongjian, Zhang Luqing. Prelimimary analyses of prevention and mitigation measures for rockfall hazards[J]. Journal of Engineering Geology, 2007, 15(5):712-717. doi: 10.3969/j.issn.1004-9665.2007.05.022 [11] 陈江, 夏雄.金温铁路危石治理中柔性防护技术应用研究[J].岩石力学与工程学报, 2006, 25(2):312-317. doi: 10.3321/j.issn:1000-6915.2006.02.015Chen Jiang, Xia Xiong. Research on application of flexible protection technique to Jinhua Wenzhou railway rock fall treatment[J]. Chinese Journal of Rock Mechanics and Engineering, 2006, 25(2):312-317. doi: 10.3321/j.issn:1000-6915.2006.02.015 [12] 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. doi: 10.3969/j.issn.1000-7598.2011.03.024He Siming, Shen Jun, Wu Yong. Rock shed dynamic response to impact of rock-fall[J]. Rock and Soil Mechanics, 2011, 32(3):781-788. doi: 10.3969/j.issn.1000-7598.2011.03.024 [13] 王东坡, 何思明, 李新坡, 等.冲击荷载下EPS垫层棚洞耗能减震作用研究[J].四川大学学报:工程科学版, 2012(6):102-107. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=scdxxb-gckx201206017Wang Dongpo, He Siming, Li Xinpo, et al. Study on the dissipating effects of shed with eps cushion under impact load[J]. Journal of Sichuan University: Engineering Science Edition, 2012(6):102-107. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=scdxxb-gckx201206017 [14] Muraishi H, Samizo M, Sugiyama T. Development of a flexible low-energy rockfall protection fence[J]. Quarterly Report of RTRI, 2005, 46(3):161 - 166. doi: 10.2219/rtriqr.46.161 [15] Spadari M, Kardani M, De Carteret R, et al. Statistical evaluation of rockfall energy ranges for different geological settings of New South Wales, Australia [J]. Engineering Geology, 2013, 158:57-65. doi: 10.1016/j.enggeo.2013.03.007 [16] 江见鲸, 李杰.高等混凝土结构理论[M].北京:中国建筑工业出版社, 2013:22. [17] 李明东, 朱伟, 马殿光, 等.EPS颗粒混合轻质土的施工技术及其应用实例[J].岩土工程学报, 2006, 28(4):533-536. doi: 10.3321/j.issn:1000-4548.2006.04.021Li Mingdong, Zhu Wei, Ma Dianguang, et al. Construction technology and application in-situ of expanded polystyrene treated lightweight soil[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(4):533-536. doi: 10.3321/j.issn:1000-4548.2006.04.021 [18] 董金梅.聚苯乙烯轻质混合土工程特性的试验研究[D].南京: 河海大学, 2005.