FRP约束混凝土轴心受压构件徐变简化计算方法研究
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摘要
目前通过理论分析得出的FRP约束混凝土构件徐变计算方法比较复杂,需要计算机迭代计算,不便于在工程实践中运用。而且各国的FRP约束混凝土设计规程中也没有对徐变影响因素给出全面、合理的简化计算公式。
本文首先对基于B3模型所建立的FRP约束混凝土轴心受压构件的徐变计算模型进行了分析和改进,编制了相应的计算程序,通过理论计算结果与试验数据对比分析验证了模型的正确性。其次,对影响FRP约束混凝土徐变的因素进行分析,依据上述模型计算得出大量数据,采用多元非线性回归方法,回归得出便于实际设计应用的各种FRP约束混凝土轴心受压构件徐变简化计算公式,将简化计算公式与理论计算结果进行了对比分析。最后给出了具体应用实例说明了简化计算公式的使用方法和使用效果。
基于B3模型计算FRP约束混凝土构件徐变合理,采用的回归手段先进,得出的简化计算公式的计算结果与理论计算值符合较好,简化计算公式具有形式简单、考虑因素全面的特点,便于在工程实践中推广和设计规范中采用。
Now the calculating methods for the creep of Fiber-Reinforced Polymer (FRP) Wrapped Concrete Columns (FWCC) members are complicated, and need corresponding iterative procedures to calculate it, so it is not suitable for practical design. And the simple calculation formulas considered influencing factors in regulations around the world are not comprehensive and reasonable.
The paper analyzes and modified the creep model of axially compressed FWCC members based on the B3 model for concrete creep, then corresponding computational procedures are established, according to the contrast analysis between the theoretical calculation result and tentative data, the model accuracy is confirmed. Then the influencing factors of FRP-confined concrete creep are analyzed, great amount of calculated data are obtained based on the calculating method for the creep of FWCC members, by adopting the theory of multivariate nonlinear regression analysis, simplification calculating formulas for creep of FWCC members are obtained, then the results of the simplification calculating formulas are compared with the theoretical calculation results. At last the examples are given to specify the use method and use effect.
The creep model of axially compressed FWCC members based on the B3 model for concrete creep is reasonable and effective; the regression method is advanced, the results obtained by the simplification formulas agree well with the theoretical data. The simplification formulas have the characteristic of simple and comprehensive. And they are suitable for practical design.
本文首先对基于B3模型所建立的FRP约束混凝土轴心受压构件的徐变计算模型进行了分析和改进,编制了相应的计算程序,通过理论计算结果与试验数据对比分析验证了模型的正确性。其次,对影响FRP约束混凝土徐变的因素进行分析,依据上述模型计算得出大量数据,采用多元非线性回归方法,回归得出便于实际设计应用的各种FRP约束混凝土轴心受压构件徐变简化计算公式,将简化计算公式与理论计算结果进行了对比分析。最后给出了具体应用实例说明了简化计算公式的使用方法和使用效果。
基于B3模型计算FRP约束混凝土构件徐变合理,采用的回归手段先进,得出的简化计算公式的计算结果与理论计算值符合较好,简化计算公式具有形式简单、考虑因素全面的特点,便于在工程实践中推广和设计规范中采用。
Now the calculating methods for the creep of Fiber-Reinforced Polymer (FRP) Wrapped Concrete Columns (FWCC) members are complicated, and need corresponding iterative procedures to calculate it, so it is not suitable for practical design. And the simple calculation formulas considered influencing factors in regulations around the world are not comprehensive and reasonable.
The paper analyzes and modified the creep model of axially compressed FWCC members based on the B3 model for concrete creep, then corresponding computational procedures are established, according to the contrast analysis between the theoretical calculation result and tentative data, the model accuracy is confirmed. Then the influencing factors of FRP-confined concrete creep are analyzed, great amount of calculated data are obtained based on the calculating method for the creep of FWCC members, by adopting the theory of multivariate nonlinear regression analysis, simplification calculating formulas for creep of FWCC members are obtained, then the results of the simplification calculating formulas are compared with the theoretical calculation results. At last the examples are given to specify the use method and use effect.
The creep model of axially compressed FWCC members based on the B3 model for concrete creep is reasonable and effective; the regression method is advanced, the results obtained by the simplification formulas agree well with the theoretical data. The simplification formulas have the characteristic of simple and comprehensive. And they are suitable for practical design.
引文
铩颷1]王文炜,李果.纤维增强塑料(FRP)在混凝土结构中的研究与应用.2001,10.36-37.
[2]熊光晶,杨建,赵若红.纤维复合材料加固混凝土轴压柱的应用研究现状和展望.第28卷第3期2002年9月.
[3]周履,陈永春.收缩徐变.北京:中国铁道出版社,1993.
[4]王军文,石现峰,李建中.预应力混凝土连续组合梁桥的收缩徐变次内力分析.公路交通科技,2003.10(5):40-41.
[5]王秋林.碳纤维、芳纶纤维在国外土木建筑中的应用.纺织科学研究,1997,3.
[6]李荣,佟小利.碳纤维材料加固混凝土结构技术应用实践.全国建筑物鉴定与加固第四届学术交流会论文集,昆明,1998.
[7]Peter H.Emmons,et al.,Advanced Composite Materials,Concrete International,Vol.20,1998(4),pp56-60.
[8]Barton R.,Carbon Fiber Plate Bonding,Structural Survey,Vol.15,1997(1),pp11-14.
[9]国家工业建筑诊断与改造技术研究中心,碳纤维材料加固修复混凝土结构技术研究开发与应用.科学技术成果报告,2000,11.
[10]ACI Committee 440 Report,State-of-the-Art-Report on Fiber ReinforcedPlastic(FRP)for Concrete Structures,ACI Structural Journal,Vol.92,1995(1),pp627-628.
[11]Maksimoy R.D,Plume E.,Long-Term Creep of HybridAramid/Glass-Fiber-Reinforced Plastics,Mechanics of Composite Materials 37,2001.(4).
[12]胡孔国等.碳纤维加固混凝土桥面板受弯性能试验研究.建筑结构,2000,4,pp44-46.
[13]Berset J.D.,Strengthening of reinforced concrete beams for shear using FRPcomposites,Department of civil and environmental engineering,MassachusettsInstitute of Technology,Jan.,1992.
[14]惠荣炎,黄国兴,易冰若.混凝土的徐变.北京:中国铁道出版社,1988.
[15]Banzant Z.P.,Willmann F.H.,Creep and shrinkage in concrete structure,NewYork:John Wiley & Sons,1982.
[16]Neville A.M.,et al,Creep and shrinkage of concrete structure,New York:John Wiley & Sons,1981.
铩颷17]Thomas Keller and Herbert Gurtler.Composite Action and Adhesive Bond betweenFiber-Reinforced Polymer Bridge Decks and Main Girders,Switzerland J.Compos.for Constr.9,360,2005.
[18]M.Savoia,B Ferracuti,and C.Mazzotti.Creep Deformation of Fiber ReinforcedPlastics-Plated Reinforced Concrete Tensile Members.Compos.for Constr.9,63,2005.
[19]Burong Zhang,Brahim Benmokrane,Adil Chennouf,Phalguni Mukhopadhyaya,and Adel El-Safty.Tensile Behavior of FRP Tendons for Prestressed Ground Anchors,Canada.J.Compos.for Constr,1995.
[20]Wassim Naguib,and Amir Mirmiran.Creep Analysis of Axially Loaded FiberReinforced Polymer Confined Concrete Columns.Journal of Engineering Mechanics,2003,Vol.129,No.11,November 1:1308-1319.
[21]Wassim Naguib and Amir Mirmiran.Time-Dependent Behavior of Concrete-FilledFRP Tubes under Sustained Loading,ASCE Conf.Proc.2001.
[22]岳清瑞.我国碳纤维加因修复技术研究应用现状与展望.工业建筑,2000,(10).
[23]曹双寅,邱洪兴,滕锦光,林力.纤维加固受弯构件全过程分析和承载力计算.工业建筑,2000,(10).
[24]张轲,岳清瑞,叶列平,赵树红.碳纤维布加固混凝土柱改善延性的试验研究.工业建筑,2000,(3).
[25]吴刚,吕志涛.外贴纤维布加固混凝土梁的抗剪设计方法.工业建筑,2000,(10).
[26]方恩权,刘桂凤,张雷顺.CFRP-混凝土界面粘结性能试验研究.建筑材料学报,第10卷第1期,2007年2月.
[27]姚谏,藤锦光.FRP复合材料与混凝土的粘结强度试验研究.建筑结构学报,2003年24卷5期.
[28]柯敏勇,金初阳,刘海祥.混凝土与FRP层板的粘结研究.世界桥梁,2004年2期.
[29]周浪.FRP布约束混凝土柱在长期轴向荷载作用下的徐变分析.北方交通大学硕士论文.2005.
[30]CEB-FIP Model Code,Design Code.(Thomas Telford,London,1990).
[31]CEB,Revision of The Design Aids of The CEB Design Manual Structural Effectsof Time Dependent Behavior of Concrete,in Accordance With The CEB-FIP ModelCode 1990,Edited by M.A.Chiorina,Bulletind's Information 215(CEB,1993).
[32]ACI committee 209,Prediction of Creep,Shrinkage and Temperature Effects in Concrete Structures,2000,ACI209 R-92.
铩颷33]Z.EBazant,Improved Prediction Model for Time Dependent Deformations ofConcrete:Part 7- Short form Of BP-KX Model,Statistics and Extrapolations ofShort-Time Data,Materials and Structures,1993,26,P567-574.
[34]Z.P.Bazant,Solidification Theory for Concrete Creep.Ⅰ:Formulatio,Journal ofEngineering Mechanics,115(8),1690-1703.
[35]Z.P.Bazant,Creep and Shrinkage Prediction Model for Analysis and Design ofConcrete Structures-Model B3.Materials and Structures,1995,28,P357-365.
[36]Jian-Ping Lam.Evaluation of Concrete Shrinkage and Creep Prediction Models.San Jose State University,2002.
[37]雷阳.考虑多轴效应的钢管混凝土轴压构件徐变模型.北京:北京交通大学,2005.
[38]韩冰.钢管混凝土构件的徐变分析.北方交通大学硕士论文,1999.
[39]徐之纶.弹性力学(第三版).高等教育出版社,1996.
[40]钟善桐.钢管混凝土结构.黑龙江科学技术出版社,1994.
[41]Mao Ruoyu,Wang Zhan,Constitutive Equations of Concrete Core Under AxialCompressive Loading,In:Proc of 2nd International Specialty Conference on ConcreteFilled Steel Tubular Structures,(Harbin,China),1988.
[42]Gopalakrishnan,K.S.,Adam Neville,and Ghali,A Hypothesis on MechanismCreep of Concrete With Reference to Multiaxial Compression.Journal of theAmerican Concrete Institute,1970,67(3):29-35.
[43]Jordaan,and Illston,Time-Dependent Strains in Sealed Concrete under MultiaxialCompressive Stress.Magazine of Concrete Research.1971,23(75-76):79-88.
[44]Wassim Nagnib,and Amir Mirmiran.Creep Analysis of Axially Loaded FiberReinforced Polymer Confined Concrete Columns.Journal of Engineering Mechanics,2003,Vol.129,No.11,November 1:1308-1319.
[45]朱海斌.钢管混凝土徐变的设计计算方法.北方交通大学硕士论文,2004.
[46]方开泰,金辉,陈庆云.实用回归分析.北京:科学出版社,1988.
[47]周纪芗.实用回归分析方法.上海科学技术出版社,1990.
[48]茆诗松等.回归分析及其试验设计,第二版,华东师范大学出版社,1981.
[49]张嘉琪,黄鼎业,王溥.FRP加固混凝土短柱的抗压强度.建筑材料学报,2000,4.
[50]岳清瑞.碳纤维材料(CFRP)加固修补混凝土结构新技术.全国建筑物鉴定与加固第四届学术交流会论文集,昆明,1998,pp78-85.
铩颷51]ACI Committee 440,Guide for the Design and Construction of Externally BondedFRP Systems for Strengthening Concrete Structures,2002.
[52]JSCE Committee 230,Guideline on Design and Construction of Concrete StructureExternally Strengthened with FRP Systems,2000,8.
[53]Thomas J.,et al.,Field Applications of a Carbon Fiber Sheet Material forStrengthening Reinforced Concrete Structure 41st International SAMPE Symposiumand Exhibition,1996,3.
[54]Karbhari Vistasp M.,Gao Yanqiang,Composite jacketed concrete under uniaxialcompression-verification of simple design equation,Journal of Materials in CivilEngineering,1997,9(4):185-193.
[55]Mirmiran A.,Shahawy M.,Behavior of concrete columns confined by fibercomposites,Journal of Structural Engineering,1997,123(5):583-590.
[56]Samaan M.,Mirmiran A.,Shahawy M.,Model of concrete confined by fibercomposites,Journal of Structural Engineering,1997,124(9):1025-1031.
[57]H.Saadatmanesh,M.R.Ehsani,and M.W.Li.Strength and Ductility of ConcreteColumns Externally Reinforced with Fiber Composite Straps.ACI Structure Journal,V.91,No.4,July-August 1994:434-447.
[58]J.B.Mander,M.J.N.Priestley,and R.Park.Theoretical Stress-Strain Model forConfined Concrete.Journal of Structural Engineering,ASCE,V.114,No.8,1988:1804-1826.
[59]Beni Assa,Minehiro Nishiyama,and Fumio Watanabe.New Approach forModeling Confined Concrete Ⅰ:Circular Columns.Journal of Structural Engineering,V.127,No.5,July2001:743-750.
[60]Yung C.Wang and Jose I.Restrepo.Investigation of Concentrically LoadedReinforced Concrete Columns Confined with Glass Fiber-reinforced Polymer Jackets.ACI Structure Journal,V.98,No.3,May-June 2001:377-385.
[61]Chris P.Pantelides.Retrofit of RC Bridge Pier with CFRP AdvancedComposites.Journal of Structural Engineering,V.125,No.10,October1999:1094-1099.
[2]熊光晶,杨建,赵若红.纤维复合材料加固混凝土轴压柱的应用研究现状和展望.第28卷第3期2002年9月.
[3]周履,陈永春.收缩徐变.北京:中国铁道出版社,1993.
[4]王军文,石现峰,李建中.预应力混凝土连续组合梁桥的收缩徐变次内力分析.公路交通科技,2003.10(5):40-41.
[5]王秋林.碳纤维、芳纶纤维在国外土木建筑中的应用.纺织科学研究,1997,3.
[6]李荣,佟小利.碳纤维材料加固混凝土结构技术应用实践.全国建筑物鉴定与加固第四届学术交流会论文集,昆明,1998.
[7]Peter H.Emmons,et al.,Advanced Composite Materials,Concrete International,Vol.20,1998(4),pp56-60.
[8]Barton R.,Carbon Fiber Plate Bonding,Structural Survey,Vol.15,1997(1),pp11-14.
[9]国家工业建筑诊断与改造技术研究中心,碳纤维材料加固修复混凝土结构技术研究开发与应用.科学技术成果报告,2000,11.
[10]ACI Committee 440 Report,State-of-the-Art-Report on Fiber ReinforcedPlastic(FRP)for Concrete Structures,ACI Structural Journal,Vol.92,1995(1),pp627-628.
[11]Maksimoy R.D,Plume E.,Long-Term Creep of HybridAramid/Glass-Fiber-Reinforced Plastics,Mechanics of Composite Materials 37,2001.(4).
[12]胡孔国等.碳纤维加固混凝土桥面板受弯性能试验研究.建筑结构,2000,4,pp44-46.
[13]Berset J.D.,Strengthening of reinforced concrete beams for shear using FRPcomposites,Department of civil and environmental engineering,MassachusettsInstitute of Technology,Jan.,1992.
[14]惠荣炎,黄国兴,易冰若.混凝土的徐变.北京:中国铁道出版社,1988.
[15]Banzant Z.P.,Willmann F.H.,Creep and shrinkage in concrete structure,NewYork:John Wiley & Sons,1982.
[16]Neville A.M.,et al,Creep and shrinkage of concrete structure,New York:John Wiley & Sons,1981.
铩颷17]Thomas Keller and Herbert Gurtler.Composite Action and Adhesive Bond betweenFiber-Reinforced Polymer Bridge Decks and Main Girders,Switzerland J.Compos.for Constr.9,360,2005.
[18]M.Savoia,B Ferracuti,and C.Mazzotti.Creep Deformation of Fiber ReinforcedPlastics-Plated Reinforced Concrete Tensile Members.Compos.for Constr.9,63,2005.
[19]Burong Zhang,Brahim Benmokrane,Adil Chennouf,Phalguni Mukhopadhyaya,and Adel El-Safty.Tensile Behavior of FRP Tendons for Prestressed Ground Anchors,Canada.J.Compos.for Constr,1995.
[20]Wassim Naguib,and Amir Mirmiran.Creep Analysis of Axially Loaded FiberReinforced Polymer Confined Concrete Columns.Journal of Engineering Mechanics,2003,Vol.129,No.11,November 1:1308-1319.
[21]Wassim Naguib and Amir Mirmiran.Time-Dependent Behavior of Concrete-FilledFRP Tubes under Sustained Loading,ASCE Conf.Proc.2001.
[22]岳清瑞.我国碳纤维加因修复技术研究应用现状与展望.工业建筑,2000,(10).
[23]曹双寅,邱洪兴,滕锦光,林力.纤维加固受弯构件全过程分析和承载力计算.工业建筑,2000,(10).
[24]张轲,岳清瑞,叶列平,赵树红.碳纤维布加固混凝土柱改善延性的试验研究.工业建筑,2000,(3).
[25]吴刚,吕志涛.外贴纤维布加固混凝土梁的抗剪设计方法.工业建筑,2000,(10).
[26]方恩权,刘桂凤,张雷顺.CFRP-混凝土界面粘结性能试验研究.建筑材料学报,第10卷第1期,2007年2月.
[27]姚谏,藤锦光.FRP复合材料与混凝土的粘结强度试验研究.建筑结构学报,2003年24卷5期.
[28]柯敏勇,金初阳,刘海祥.混凝土与FRP层板的粘结研究.世界桥梁,2004年2期.
[29]周浪.FRP布约束混凝土柱在长期轴向荷载作用下的徐变分析.北方交通大学硕士论文.2005.
[30]CEB-FIP Model Code,Design Code.(Thomas Telford,London,1990).
[31]CEB,Revision of The Design Aids of The CEB Design Manual Structural Effectsof Time Dependent Behavior of Concrete,in Accordance With The CEB-FIP ModelCode 1990,Edited by M.A.Chiorina,Bulletind's Information 215(CEB,1993).
[32]ACI committee 209,Prediction of Creep,Shrinkage and Temperature Effects in Concrete Structures,2000,ACI209 R-92.
铩颷33]Z.EBazant,Improved Prediction Model for Time Dependent Deformations ofConcrete:Part 7- Short form Of BP-KX Model,Statistics and Extrapolations ofShort-Time Data,Materials and Structures,1993,26,P567-574.
[34]Z.P.Bazant,Solidification Theory for Concrete Creep.Ⅰ:Formulatio,Journal ofEngineering Mechanics,115(8),1690-1703.
[35]Z.P.Bazant,Creep and Shrinkage Prediction Model for Analysis and Design ofConcrete Structures-Model B3.Materials and Structures,1995,28,P357-365.
[36]Jian-Ping Lam.Evaluation of Concrete Shrinkage and Creep Prediction Models.San Jose State University,2002.
[37]雷阳.考虑多轴效应的钢管混凝土轴压构件徐变模型.北京:北京交通大学,2005.
[38]韩冰.钢管混凝土构件的徐变分析.北方交通大学硕士论文,1999.
[39]徐之纶.弹性力学(第三版).高等教育出版社,1996.
[40]钟善桐.钢管混凝土结构.黑龙江科学技术出版社,1994.
[41]Mao Ruoyu,Wang Zhan,Constitutive Equations of Concrete Core Under AxialCompressive Loading,In:Proc of 2nd International Specialty Conference on ConcreteFilled Steel Tubular Structures,(Harbin,China),1988.
[42]Gopalakrishnan,K.S.,Adam Neville,and Ghali,A Hypothesis on MechanismCreep of Concrete With Reference to Multiaxial Compression.Journal of theAmerican Concrete Institute,1970,67(3):29-35.
[43]Jordaan,and Illston,Time-Dependent Strains in Sealed Concrete under MultiaxialCompressive Stress.Magazine of Concrete Research.1971,23(75-76):79-88.
[44]Wassim Nagnib,and Amir Mirmiran.Creep Analysis of Axially Loaded FiberReinforced Polymer Confined Concrete Columns.Journal of Engineering Mechanics,2003,Vol.129,No.11,November 1:1308-1319.
[45]朱海斌.钢管混凝土徐变的设计计算方法.北方交通大学硕士论文,2004.
[46]方开泰,金辉,陈庆云.实用回归分析.北京:科学出版社,1988.
[47]周纪芗.实用回归分析方法.上海科学技术出版社,1990.
[48]茆诗松等.回归分析及其试验设计,第二版,华东师范大学出版社,1981.
[49]张嘉琪,黄鼎业,王溥.FRP加固混凝土短柱的抗压强度.建筑材料学报,2000,4.
[50]岳清瑞.碳纤维材料(CFRP)加固修补混凝土结构新技术.全国建筑物鉴定与加固第四届学术交流会论文集,昆明,1998,pp78-85.
铩颷51]ACI Committee 440,Guide for the Design and Construction of Externally BondedFRP Systems for Strengthening Concrete Structures,2002.
[52]JSCE Committee 230,Guideline on Design and Construction of Concrete StructureExternally Strengthened with FRP Systems,2000,8.
[53]Thomas J.,et al.,Field Applications of a Carbon Fiber Sheet Material forStrengthening Reinforced Concrete Structure 41st International SAMPE Symposiumand Exhibition,1996,3.
[54]Karbhari Vistasp M.,Gao Yanqiang,Composite jacketed concrete under uniaxialcompression-verification of simple design equation,Journal of Materials in CivilEngineering,1997,9(4):185-193.
[55]Mirmiran A.,Shahawy M.,Behavior of concrete columns confined by fibercomposites,Journal of Structural Engineering,1997,123(5):583-590.
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