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| Anti-shear reliability analysis for a reinforced concrete column subjected to rockfall impact |
| ZHOU Xiaoyu,MA Rujin,CHEN Airong |
| Department of Bridge Engineering,Tongji University,Shanghai200092,China |
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Abstract An anti-shear reliability assessment method for RC columns subjected to falling rock impact was established here.The 60 impact force-time histories were generated with the nonlinear finite element analysis based on the reliability verification of the numerical analysis method.A simplified model of rock impact load considering the equal peak value of impact load and the equal impulse was built to be a half wave sine one.A reliability analysis procedure considering both the shear resistance uncertainty and impact effect indefiniteness was proposed to obtain the failure probability of RC columns under different impact intensities.The
effects of rock mass,impact velocity,transverse reinforcement ratio and concrete strength on the shear vulnerability of the columns were analyzed with a parametric analysis.The analysis results showed that the parameters in the proposed model can effectively be used to simulate the dynamic responses of RC columns under low velocity impact; the peak value equivalent static load is recommended to measure the falling rock impact load; furthermore,the failure probability of RC columns at each damage level increases with increase in of rock mass and impact velocity; the increase in concrete strength,cross-section area and stirrup radio can reduce the failure probability of RC columns at each damage level to a certain extent.
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Received: 27 October 2015
Published: 15 March 2017
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[1] 裴来政, 刘应辉, 庄建琦. 汶川地震震后都汶公路的恢复与重建[J]. 四川大学学报(自然科学版). 2010, 42(S1): 140-146.
PEI Laizheng, LIU Yinghui, ZHUANG Jianqi. Restoration and reconstruction of Du-Wen Highway after the Wenchuan Earthquake [J]. Journal of Sichuan University(Engineering Science Edition), 2010, 42(S1): 140-146. (In Chinese)
[2] Lu Y E, Zhang L M. Analysis of failure of a bridge foundation under rock impact [J]. Acta Geotechnica, 2012, 7(1): 57-68.
[3] Thilakarathna H M I, Thambiratnam D P, Dhanasekar M, et al. Numerical simulation of axially loaded concrete columns under transverse impact and vulnerability assessment [J]. International Journal of Impact Engineering. 2010, 37(11): 1100-1112.
[4] Krauthammer T, Shahriar S, Shanaa H M. Response of reinforced concrete element severe impulsive loads [J]. Journal of Structure Engineering. 1990, 116(4): 1061-1079.
[5] 曾翔. 冲击和快速加载作用下钢筋混凝土梁柱构件性能试验与数值模拟研究[D]. 长沙: 湖南大学土木工程学院, 2014.
ZENG Xiang. Experimental and numerical study of behavior of RC beams and the columns under impact loading and rapid loading. [D]. Changsha, Department of Civil Engineering of Hunan University. 2014. (In Chinese)
[6] Bertrand D, Kassem F, Delhomme F, et al. Reliability analysis of an RC member impacted by a rockfall using a nonlinear SDOF model [J]. Engineering Structures. 2015, 89(15): 93-102.
[7] 田力, 朱聪, 王浩, 等. 碰撞冲击荷载作用下钢筋混凝土柱的动态响应及破坏模式[J]. 工程力学, 2013, 30(2): 150-155.
TIAN Li, ZHU Cong, WANG Hao, et al. Dynamic response and failure modes of RC columns under impact [J]. Engineering Mechanics, 2013, 30(2): 150-155. (In Chinese)
[8] 田力, 朱聪. 碰撞冲击荷载作用下钢筋混凝土柱的损伤评估及防护技术[J]. 工程力学, 2013, 30(9): 144-150.
TIAN Li, ZHU Cong, Damage evaluation and protection technique of RC columns under impulsive load [J]. Engineering Mechanics, 2013, 30(9): 144-150. (In Chinese)
[9] 何思明, 庄卫林, 张雄, 等. 都汶公路彻底关大桥桥墩抗滚石冲击防护研究[J]. 岩土力学与工程学报, 2013, 32(S2): 3421-3427.
HE Siming, ZHUANG Weilin, ZHANG Xiong, et al. Reaserch on rockfall impact prevention of Chediguan Bridge pier, Duwen Road [J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 32(S2): 3421-3427. (In Chinese)
[10] Delhomme F, Mommessin M, Mougin J P, et al. Simulation of a block impacting a reinforced concrete slab with a finite element model and a mass-spring system [J]. Engineering Structures, 2007, 29(11): 2844-2852.
[11] 周泽平, 王明洋, 冯淑芬, 等. 钢筋混凝土梁在低速冲击下的变形与破坏研究[J]. 振动与冲击, 2007, 26(5): 99-103.
ZHOU Zeping, WANG Mingyang, FENG Shufen, et al. Deformation and failure of a reinforced beam under low velocity impact [J]. Journal of Vibration and Shock. 2007, 26(5): 99-103. (In Chinese)
[12] Buth C E, Williams W F, Brackin M S, et al. Analysis of large truck collisions with bridge piers [R]. Texas, Texas Transportation Institute, 2010.
[13] Mizuyama T. Computational method and some considerations on impulsive force of debris flow acting on Sabo dams [J]. Erosion Control. 1979, 11(2): 40-43.
[14] Chu L M, Zhang L M. Centrifuge modeling of ship impact loads on bridge pile foundations [J]. Journal of Geotechnical and Geoenvironmental Engineering. 2011, 137(4):405-420.
[15] Fujikake K, Li Bing, Soeum S. Impact response of reinforced concrete beam and its analytical evaluation [J]. Journal of Structural Engineering, 2009, 135(8): 938-950.
[16] Murray Y D, Abu-Odeh A Y, Bligh R P. Evaluation of LS-DYNA Concrete Material Model 159 [R]. Report No. FHWA-HRT-05-063. Federal Highway Administration. USA, 2007.
[17] Cowper G R, Symonds P S. Strain-hardening and strain-rate effects in the impact loading of cantilever beams [R]. Report to Brown University. Providence RI. United States, 1957.
[18] Hallquist J O. LS-DYNA keyword user’s manual [M]. California: Livermore Software Technology Corporation, 2007, 1430: 1430-1432
[19] 雷帅, 朱尔玉, 刘驰昊. 国内外钢筋混凝土桥墩地震作用下抗剪计算方法对比[J]. 北京交通大学学报, 2014, 38(1): 94-98.
LEI Shuai, ZHU Eryu, LIU Chihao. Contrast and analysis of shearing resistance calculation of reinforced concrete pier under geological process at home and abroad [J]. Journal of Beijing Jiaotong University, 2014, 38(1): 94-98. (In Chinese)
[20] 刘洪兵, 王君杰, 孙利民, 等. 钢筋混凝土桥墩截面能力的概率分析[J]. 工程力学, 2005, 22(6): 104-111.
LIU Hongbing, WANG Junjie, SUN Limin, et al. Probability characteristics of cross-section capacity of RC piers [J]. Engineering Mechanics, 2005, 22(6): 104-111. (In Chinese)
[21] 范立础. 悬索桥抗震设计指南[R]. 同济大学土木工程防灾国家重点实验室. 2000.
FAN Lichu. Seismic design guidelines of suspension bridges [R]. State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, 2000. (In Chinese)
[22] 过振海, 时旭东. 钢筋混凝土原理与分析[M]. 北京, 清华大学出版社, 2003.
GUO Zhenhai, SHI Xudong. Reinforced concrete theory and analysis [M]. Beijing, Tsinghua University Press, 2003. (In Chinese)
[23] Fityus S G, Giacomini A, Buzzi O. The significance of geology for the morphology of potentially unstable rocks [R]. Newcastle, the University of Newcastle, 2012.
[24] Muraishi H, Samizo M, Sugiyama T. Development of a flexible low energy rockfall protection fence [J]. Quaterly Report of RTRI, 2005, 46(3): 161-166.
[25] Wataba M, Fukuzawa R, Chiba O, et al. Study on load-deflection characteristics of heavily reinforced concrete shear walls [C]. The 10th International Conference on Structure Mechanics. AASMIRT, 1989.
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