地震荷载作用下FRP加固钢筋混凝土圆柱变形能力计算方法研究
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摘要
基于性能的抗震设计要求对结构的变形能力能够进行计算,以确保不同的性能目标要求得以满足。该文研究地震荷载作用下纤维增强复合材料(FRP)加固钢筋混凝土(RC)圆柱截面曲率延性和柱顶侧向位移角计算方法。根据数值计算结果,得到了截面屈服曲率计算方法,由试验结果得到了FRP加固RC圆柱截面极限曲率计算方法。试验结果表明加固柱塑性铰长度和FRP用量密切相关,通过对29个大比例柱试验结果进行回归,得到了加固柱塑性铰长度计算方法,并分析了高FRP用量导致加固柱塑性铰长度减小的原因。经参数分析,探讨了FRP用量、轴压比与加固柱顶侧向变形能力的关系,提出了具有理想加固效率的FRP用量上限范围。
Performance based design necessitates the accurate calculation of deformation capacity of structures to satisfy the explicit deformation demands.The procedures to evaluate the sectional curvature ductility and drift capacity of fiber reinforced polymer(FRP) retrofitted circular concrete columns under simulated seismic loading were studied in this paper.The sectional yield curvature was proposed based on numerical analysis results.The computing formula of an ultimate curvature was established from test results.It was found from test results that the plastic hinge length of FRP-confined circular concrete columns is closely related to the amount of FRP.Data regressions were employed to formulate the plastic hinge length from test results of 29 large-scale columns.The reason why larger amount of FRP beyond a certain value can decrease the plastic hinge length was discussed.The relationship between the amount of FRP and axial load ratio to drift capacity of FRP-confined circular concrete columns was investigated from a parameter analysis.Then the upper bound of the amount of confining FRP for an efficient retrofit was suggested.
Performance based design necessitates the accurate calculation of deformation capacity of structures to satisfy the explicit deformation demands.The procedures to evaluate the sectional curvature ductility and drift capacity of fiber reinforced polymer(FRP) retrofitted circular concrete columns under simulated seismic loading were studied in this paper.The sectional yield curvature was proposed based on numerical analysis results.The computing formula of an ultimate curvature was established from test results.It was found from test results that the plastic hinge length of FRP-confined circular concrete columns is closely related to the amount of FRP.Data regressions were employed to formulate the plastic hinge length from test results of 29 large-scale columns.The reason why larger amount of FRP beyond a certain value can decrease the plastic hinge length was discussed.The relationship between the amount of FRP and axial load ratio to drift capacity of FRP-confined circular concrete columns was investigated from a parameter analysis.Then the upper bound of the amount of confining FRP for an efficient retrofit was suggested.
引文
[1]徐培福,戴国莹.超限高层建筑结构基于性能抗震设计的研究[J].土木工程学报,2005,38(1):1―10.Xu Peifu,Dai Guoying.Performance-based seismic design of tall building structures beyond the code-specification[J].China Civil Engineering Journal,2005,38(1):1―10.(in Chinese)
[2]Wu Y F,Liu T,Oehlers D J.Fundamental principles that govern retrofitting of reinforced concrete columns by steel and FRP jacketing[J].Advances in Structural Engineering,2006,9(4):507―533.
[3]Priestley M J N,Seible F,Calvi M.Seismic design and retrofit of bridges[M].New York:Wiley,1996:686.
[4]Paultre P,Légeron F.Confinement reinforcement design for reinforced concrete columns[J].Journal of Structural Engineering ASCE,2008,134(5):738―749.
[5]李静,钱稼茹.碳纤维布约束混凝土柱的非线性分析[J].工程力学,2005,22(1):159―163.Li Jing,Qian Jiaru.Nonlinear analysis of carbon fiber sheet confined concrete columns[J].Engineering Mechanics,2005,22(1):159―163.(in Chinese)
[6]Sause R,Harries K A,Walkup S L.Flexural behaviour of concrete columns retrofitted with carbon fiber-reinforced polymer jackets[J].ACI Structural Journal,2004,101(5):708―716.
[7]魏洋,吴刚,吴智深,等.FRP约束混凝土矩形短柱的延性分析[J].地震工程与工程振动,2009,29(3):71―76.Wei Yang,Wu Gang,Wu Zhishen,et al.Ductility analysis of FRP-confined short rectangular reinforced concrete columns[J].Journal of Earthquake Engineering and Engineering Vibration,2009,29(3):71―76.(in Chinese)
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[9]张柯,岳清瑞,叶列平.碳纤维布加固混凝土柱滞回耗能分析及目标延性系数的确定[J].工业建筑,2001,31(6):5―8.Zhang Ke,Yue Qingrui,Ye Lieping.Analysis ofhysteresis energy dissipation and acceptable ductility factor for concrete column strengthened with CFS[J].Industrial Construction,2001,31(6):5―8.(in Chinese)
[10]谢剑,刘明学,赵彤.碳纤维布提高高强混凝土柱抗震能力评估方法[J].天津大学学报,2005,38(2):109―113.Xie Jian,Liu Mingxue,Zhao Tong.Anti-seismic performance evaluating method of high strength concrete columns retrofitted with CFRP fabric[J].Journal of Tianjin University,2005,38(2):109―113.(in Chinese)
[11]顾冬生,吴刚,吴智深,等.CFRP加固高轴压比钢筋混凝土短圆柱抗震性能试验研究[J].工程抗震与加固改造,2006,28(6):71―77.Gu Dongsheng,Wu Gang,Wu Zhishen,et al.Experimental study on seismic performance of RC short circular columns strengthened with CFRP composites under high level compression[J].Earthquake Resistant Engineering and Retrofitting,2006,28(6):71―77.(in Chinese)
[12]王震宇,芦学磊,李伟,等.塑性铰区碳纤维约束高强混凝土圆柱抗震性能的试验研究[J].建筑结构,2009,39(2):21―24.Wang Zhenyu,Lu Xuelei,Li Wei,et al.Experimental research on seismic performance of high strength concrete circular column confined with carbon fiber sheets at plastic hinge zone[J].Building Structure,2009,39(2):21―24.(in Chinese)
[13]Gu Dongsheng,Wu Gang,Wu Zhishen,et al.The confinement effectiveness of FRP in retrofitting circular concrete columns under simulated seismic load[J].Journal of Composites for Construction ASCE,2010,14(5):531―540.
[14]Binici B.Design of FRPs in circular bridge column retrofits for ductility enhancement[J].Engineering Structures,2008,30:766―776.
[15]Sheikh S A,Yau G.Seismic behavior of concrete columns confined with steel and fiber-reinforced polymers[J].ACI Structural Journal,2002,99(1):72―81.
[16]Lehman D E,Moehle J P.Seismic performance of well-confined concrete bridge columns[R].Berkeley:Pacific Earthquake Engineering Research Center,2000:316.
[17]Paultre P,Eid R,Robles H I,et al.Seismic performance of circular high-strength concrete columns[J].ACI Structural Journal,2009,106(4):395―404.
[18]Watson S,Park R.Simulated seismic load tests on reinforced concrete columns[J].Journal of Structural Engineering ASCE,1994,120(6):1825―1849.
[19]Berry M P,Eberhard M O.Practical performance model for bar buckling[J].Journal of Structural Engineering ASCE,2005,131(7):1060―1070.
[20]Lam L,Teng J G.Design-oriented stress-strain model for FRP-confined concrete[J].Construction and Building Materials,2003,17:471―489.
[21]Gu Dongsheng,Wu Gang,Wu Zhishen.Ultimate flexural strength of normal section of FRP confined RC circular columns[J].Journal of Southeast University(English Edition),2010,26(1):107―111.
[22]Ozbakkaloglu T,Saatcioglu M.Seismic behavior of high-strength concrete columns confined by fiber-reinforced polymer tubes[J].Journal of Composites for Construction ASCE,2006,10(6):538―549.
[23]Chai Y H,Priestley M J N,Seible F.Seismic retrofit of circular bridge columns for enhanced flexural performance[J].ACI Structural Journal,1991,88(5):572―584.
[24]Xiao Y,Wu H,Martin G R.Prefabricated composite jacketing of RC columns for enhanced shear strength[J].Journal of Structural Engineering ASCE,1999,125(3):255―264.
[25]Li Y F,Sung Y Y.A study on the shear-failure of circular sectioned bridge column retrofitted by using CFRP jacketing[J].Journal of Reinforced Plastics and Composites,2004,23(8):811―830.
[26]Sheikh S A,Li Y M.Design of FRP confinement for square concrete columns[J].Engineering Structures,2007,29:1074―1083.
[27]张国军,吕西林,刘伯权.轴压比超限时框架柱的恢复力模型研究[J].建筑结构学报,2006,27(1):90―98.Zhang Guojun,LüXilin,Liu Boquan.Research on restoring force models of frame columns with ultra-limited axial compression ratio[J].Journal of Building Structures,2006,27(1):90―98.(in Chinese)
[2]Wu Y F,Liu T,Oehlers D J.Fundamental principles that govern retrofitting of reinforced concrete columns by steel and FRP jacketing[J].Advances in Structural Engineering,2006,9(4):507―533.
[3]Priestley M J N,Seible F,Calvi M.Seismic design and retrofit of bridges[M].New York:Wiley,1996:686.
[4]Paultre P,Légeron F.Confinement reinforcement design for reinforced concrete columns[J].Journal of Structural Engineering ASCE,2008,134(5):738―749.
[5]李静,钱稼茹.碳纤维布约束混凝土柱的非线性分析[J].工程力学,2005,22(1):159―163.Li Jing,Qian Jiaru.Nonlinear analysis of carbon fiber sheet confined concrete columns[J].Engineering Mechanics,2005,22(1):159―163.(in Chinese)
[6]Sause R,Harries K A,Walkup S L.Flexural behaviour of concrete columns retrofitted with carbon fiber-reinforced polymer jackets[J].ACI Structural Journal,2004,101(5):708―716.
[7]魏洋,吴刚,吴智深,等.FRP约束混凝土矩形短柱的延性分析[J].地震工程与工程振动,2009,29(3):71―76.Wei Yang,Wu Gang,Wu Zhishen,et al.Ductility analysis of FRP-confined short rectangular reinforced concrete columns[J].Journal of Earthquake Engineering and Engineering Vibration,2009,29(3):71―76.(in Chinese)
[8]熊朝晖,潘德恩.钢筋混凝土框架柱侧向变形能力的研究[J].地震工程与工程振动,2001,21(2):103―108.Xiong Zhaohui,Pan Deen.Study on lateral deformability of reinforced concrete frame columns[J].Earthquake Engineering and Engineering Vibration,2001,21(2):103―108.(in Chinese)
[9]张柯,岳清瑞,叶列平.碳纤维布加固混凝土柱滞回耗能分析及目标延性系数的确定[J].工业建筑,2001,31(6):5―8.Zhang Ke,Yue Qingrui,Ye Lieping.Analysis ofhysteresis energy dissipation and acceptable ductility factor for concrete column strengthened with CFS[J].Industrial Construction,2001,31(6):5―8.(in Chinese)
[10]谢剑,刘明学,赵彤.碳纤维布提高高强混凝土柱抗震能力评估方法[J].天津大学学报,2005,38(2):109―113.Xie Jian,Liu Mingxue,Zhao Tong.Anti-seismic performance evaluating method of high strength concrete columns retrofitted with CFRP fabric[J].Journal of Tianjin University,2005,38(2):109―113.(in Chinese)
[11]顾冬生,吴刚,吴智深,等.CFRP加固高轴压比钢筋混凝土短圆柱抗震性能试验研究[J].工程抗震与加固改造,2006,28(6):71―77.Gu Dongsheng,Wu Gang,Wu Zhishen,et al.Experimental study on seismic performance of RC short circular columns strengthened with CFRP composites under high level compression[J].Earthquake Resistant Engineering and Retrofitting,2006,28(6):71―77.(in Chinese)
[12]王震宇,芦学磊,李伟,等.塑性铰区碳纤维约束高强混凝土圆柱抗震性能的试验研究[J].建筑结构,2009,39(2):21―24.Wang Zhenyu,Lu Xuelei,Li Wei,et al.Experimental research on seismic performance of high strength concrete circular column confined with carbon fiber sheets at plastic hinge zone[J].Building Structure,2009,39(2):21―24.(in Chinese)
[13]Gu Dongsheng,Wu Gang,Wu Zhishen,et al.The confinement effectiveness of FRP in retrofitting circular concrete columns under simulated seismic load[J].Journal of Composites for Construction ASCE,2010,14(5):531―540.
[14]Binici B.Design of FRPs in circular bridge column retrofits for ductility enhancement[J].Engineering Structures,2008,30:766―776.
[15]Sheikh S A,Yau G.Seismic behavior of concrete columns confined with steel and fiber-reinforced polymers[J].ACI Structural Journal,2002,99(1):72―81.
[16]Lehman D E,Moehle J P.Seismic performance of well-confined concrete bridge columns[R].Berkeley:Pacific Earthquake Engineering Research Center,2000:316.
[17]Paultre P,Eid R,Robles H I,et al.Seismic performance of circular high-strength concrete columns[J].ACI Structural Journal,2009,106(4):395―404.
[18]Watson S,Park R.Simulated seismic load tests on reinforced concrete columns[J].Journal of Structural Engineering ASCE,1994,120(6):1825―1849.
[19]Berry M P,Eberhard M O.Practical performance model for bar buckling[J].Journal of Structural Engineering ASCE,2005,131(7):1060―1070.
[20]Lam L,Teng J G.Design-oriented stress-strain model for FRP-confined concrete[J].Construction and Building Materials,2003,17:471―489.
[21]Gu Dongsheng,Wu Gang,Wu Zhishen.Ultimate flexural strength of normal section of FRP confined RC circular columns[J].Journal of Southeast University(English Edition),2010,26(1):107―111.
[22]Ozbakkaloglu T,Saatcioglu M.Seismic behavior of high-strength concrete columns confined by fiber-reinforced polymer tubes[J].Journal of Composites for Construction ASCE,2006,10(6):538―549.
[23]Chai Y H,Priestley M J N,Seible F.Seismic retrofit of circular bridge columns for enhanced flexural performance[J].ACI Structural Journal,1991,88(5):572―584.
[24]Xiao Y,Wu H,Martin G R.Prefabricated composite jacketing of RC columns for enhanced shear strength[J].Journal of Structural Engineering ASCE,1999,125(3):255―264.
[25]Li Y F,Sung Y Y.A study on the shear-failure of circular sectioned bridge column retrofitted by using CFRP jacketing[J].Journal of Reinforced Plastics and Composites,2004,23(8):811―830.
[26]Sheikh S A,Li Y M.Design of FRP confinement for square concrete columns[J].Engineering Structures,2007,29:1074―1083.
[27]张国军,吕西林,刘伯权.轴压比超限时框架柱的恢复力模型研究[J].建筑结构学报,2006,27(1):90―98.Zhang Guojun,LüXilin,Liu Boquan.Research on restoring force models of frame columns with ultra-limited axial compression ratio[J].Journal of Building Structures,2006,27(1):90―98.(in Chinese)
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