无粘结CFRP筋部分预应力混凝土受弯构件非线性分析
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摘要
CFRP筋具有轻质、高强、耐腐蚀等特点,作为增强材料替代钢筋在混凝土结构中应用,可有效避免因钢筋锈蚀引起的混凝土结构承载力的下降和耐久性的降低,减少工程维护费用。
本文以CFRP筋作无粘结预应力筋、同时配置一定数量的非预应力钢筋,设计制作了4根无粘结CFRP筋部分预应力混凝土简支梁,通过静载试验考察该类构件的受弯性能。在对试验数据进行分析的基础上,提出了无粘结CFRP筋部分预应力混凝土简支梁中无粘结CFRP筋在使用阶段和正截面承载能力极限状态时的应力增量计算公式;根据实测荷载-挠度曲线并结合基于双折直线理论的刚度计算模式,提出了这类构件在荷载效应标准组合作用下短期刚度计算公式;同时探索了这类梁裂缝分布规律和平均裂缝间距计算方法。
采用通用有限元软件ANSYS对无粘结CFRP筋部分预应力混凝土梁在外荷载作用下的受力性能进行了非线性有限元分析,对建模方法、单元选取、材料本构关系的定义、求解方法等进行了说明。主要分析的内容有梁的极限承载力、梁的挠度、梁的正应力与应变、CFRP筋的应力变化。并将计算结果与试验结果进行对比,吻合情况良好,从而验证了试验结果的正确性。
Carbon Fiber reinforcement polymer tendon(FRP tendon) has many advantages such as corrosive resistance,high strength and lightweight.It can replace steel bar in concrete structure, which can avoid deterioration of bearing capacity and durability due to corrosion of steel bar and reduce the maintenance cost.
4 unbonded partially prestressed CFRP reinforced concrete simple beams are designed, which are reinforced with CFRP unbonded tendons and a certain number of non-prestressed reinforcements.The flexural performance of this kind of beam is investigated.On the basis of analysis on test data,the calculation formula of stress increment of CFRP tendon in the beam during serviceability and ultimate limit state.The calculation formula of short-term stiffness of the beam is presented under characteristic combination of load based on test curve of loaddeflection and the twi-line theory.At the same time,the law of distribution of crack and the calculation method of the average spacing of crack are explored.
Nonlinear finite element analysis on the mechanical performance of unbonded partially prestressed CFRP reinforced concrete simple beam under load is made by using ANSYS Software.The modeling method,the unit,constitutive relation of material and solving methods are illustrated.The ultimate bearing capacity of beams,the deflection of beam,the normal stress and strain of beam and the stress variation of CFRP tendons are analyzed.The calculated results and the test results are compared and they are in good agreement,which verifies that the test result is correct.
本文以CFRP筋作无粘结预应力筋、同时配置一定数量的非预应力钢筋,设计制作了4根无粘结CFRP筋部分预应力混凝土简支梁,通过静载试验考察该类构件的受弯性能。在对试验数据进行分析的基础上,提出了无粘结CFRP筋部分预应力混凝土简支梁中无粘结CFRP筋在使用阶段和正截面承载能力极限状态时的应力增量计算公式;根据实测荷载-挠度曲线并结合基于双折直线理论的刚度计算模式,提出了这类构件在荷载效应标准组合作用下短期刚度计算公式;同时探索了这类梁裂缝分布规律和平均裂缝间距计算方法。
采用通用有限元软件ANSYS对无粘结CFRP筋部分预应力混凝土梁在外荷载作用下的受力性能进行了非线性有限元分析,对建模方法、单元选取、材料本构关系的定义、求解方法等进行了说明。主要分析的内容有梁的极限承载力、梁的挠度、梁的正应力与应变、CFRP筋的应力变化。并将计算结果与试验结果进行对比,吻合情况良好,从而验证了试验结果的正确性。
Carbon Fiber reinforcement polymer tendon(FRP tendon) has many advantages such as corrosive resistance,high strength and lightweight.It can replace steel bar in concrete structure, which can avoid deterioration of bearing capacity and durability due to corrosion of steel bar and reduce the maintenance cost.
4 unbonded partially prestressed CFRP reinforced concrete simple beams are designed, which are reinforced with CFRP unbonded tendons and a certain number of non-prestressed reinforcements.The flexural performance of this kind of beam is investigated.On the basis of analysis on test data,the calculation formula of stress increment of CFRP tendon in the beam during serviceability and ultimate limit state.The calculation formula of short-term stiffness of the beam is presented under characteristic combination of load based on test curve of loaddeflection and the twi-line theory.At the same time,the law of distribution of crack and the calculation method of the average spacing of crack are explored.
Nonlinear finite element analysis on the mechanical performance of unbonded partially prestressed CFRP reinforced concrete simple beam under load is made by using ANSYS Software.The modeling method,the unit,constitutive relation of material and solving methods are illustrated.The ultimate bearing capacity of beams,the deflection of beam,the normal stress and strain of beam and the stress variation of CFRP tendons are analyzed.The calculated results and the test results are compared and they are in good agreement,which verifies that the test result is correct.
引文
[1]薛伟辰,现代预应力结构设计,北京:中国建筑工业出版社,2003.
[2]谢醒梅,韩选江,叶湘菡,现代予力混凝土结构设计理论及应用,北京:机械工业出版社,2007.
[3]宋玉普,新型预应力混凝土结构,北京:机械工业出版社,2005
[4]詹界东,杜修力,邓宗才,预应力FRP筋锚具的研究与发展,工业建筑,2006,36(12):65-457.
[5]Nilson.Design of prestressed concrete.Wiley & Sons Inc,New york,1991.
[6]Chasles w dolan,H R Hamilton Ⅲ,Charles E Bakis,Antonio Nanni,Design recommoditions for concerte structures prestcessed with FRP tendons,FHWA Contract,DTH61-96-C-00019,August 2001.
[7]Amr A Abdelrahman,Sami H Rizkalla.Deflection control of concrete beams pretensioned by CFRP reinforcements,Journal of Composites for Construction.May,1999.
[8]ACI Committee 440.2001.Guide for the design and constructions of concrete reinforced with FRP bars[S].American Concrete Institute,Farmington Hills.Mich.
[9]郝庆多,王勃,欧进萍,纤维增强塑料筋在土木工程中的应用,混凝土,2006,203(9):38-40.
[10]J.W.Gillespire J.R.Center Leads Effort to Erect One of First State_Owned All_Composite Bridge in USA[J].Composite Update,1999,(1)
[11]Sami Rizkalla and Pierre Labossiere.Structural Engineering with FRP in Canada[J].Concrete International,October,1999,25-28.
[12]Jens Christoffersen,Lar Hauge.Use of Non-corrodible Reinforcement in Concrete Bridges [A].Current and Future Trends in Bridge Design,Construction and Maintenance [C].Singapore,1999.
[13]许贤敏编译.碳纤维增强塑料筋束预应力混凝土桥[J].国外公路,1996,16(4):37-39.
[14]Charles W.Dolan.FRp Prestressing in USa[J].Concrete International,October,1999,(1):1-6.
[15]杜平安,甘娥忠等,有限元法-原理、建模及应用,国防工业出版社,北京:2004.P250-251.
[16]P.C.Cheung et al.Behaviour of beam-column joints in Seismically-loaded RC frames[J].The structural Engineering,1993:44-49.
[17]江见鲸,陆新征等.混凝土有限元分析.清华大学出版社.北京,2005.
[18]熊学玉,体外预应力结构设计,中国建筑工业出版社,北京:2005.
[19]中华人民共和国国家标准.混凝土结构设计规范(GB50010-2002).中国建筑工业出版社.2002.
[20]蓝宗建主编.混凝土结构设计原理.南京:东南大学出版社.2002
[21]宋永发,宋玉普,王清湘.无粘结部分预应力高强混凝土梁变形计算.大连理工大学学报,1999,39(4):554-556.
[22]刘超英,陈永春,杜拱辰.无粘结部分预应力矩形截面受弯构件短期刚度的试验研究.土木工程学报,1988,21(3):42-45.
[23]冯德刚.无粘结部分预应力混凝土受弯构件短期刚度的试验研究.东北电力学院学报,1996,16(4):40-41.
[24]喻伟,蔡运来.无粘结部分预应力混凝土梁短期刚度的试验研究.人民长江,1996,27(12):23-24.
[25]关建光,孟履祥等,纤维塑料筋部分预应力混凝土梁受弯性能研究,第十三届全国混凝土及预应力混凝土学术会议论文,2005,395-402
[26]程东辉,郑文忠.无粘结CFRP筋部分预应力混凝土简支梁试验与分析.中国铁道科学.2008,29(2):59-65
[27]吴翊,李永乐,胡庆军.应用数理统计.国防科技大学出版社,1995
[28]M.H.Harajli.Effect of Span-depth Ratio on the Ultimate Steel Stress in Unbonded Prestressed Concrete Member.ACI Structural Journal.1990,87(8):305-312
[29]蓝宗建、严欣春、夏保国、冯志祥.无粘结部分预应力混凝土梁裂缝宽度的计算.东南大学学报.1991,21(4)
[30]陶学康.无粘结预应力混凝土设计与施工.地震出版社,1993
[31]吕志涛,孟少平.现代预应力设计.中国建筑工业出版社,1998
[32]王晓辉,预应力FRP筋混凝土梁试验及理论研究:[硕士论文].上海:同济大学,2005.
[33]中华人民共和国建设部.无粘结预应力混凝土结构技术规程(JGJ92-2004).中国建筑工业出版社,2005
[34]蓝宗建主编.混凝土结构设计原理.南京:东南大学出版社.2002
[35]东南大学,天津大学,同济大学合遍.混凝土结构原理[M],北京:中国建筑工业出版社,2002.
[36]Willam,K.J,Warnke,E.D.Constitutive Model for the Triaxial Behavior Proceedings[J].International Association for Bridge and Structural Engineering,1975:Vol.19(No.4)
[37]郝文化.ANSYS土木工程应用实例[M].北京:中国水利水电出版社,2005.
[38]宋玉普.多种混凝土材料的本构关系与破坏准则[M].中国水利水电出版社,2002.
[39]Orozco A L,Maji A K.Eegery Release in Fiber Reinforced Plastic Reinforced Conceret Beams[J].Journal of Composites for Construction,2004,8(1):52-58.
[40]高丹盈,赵广田,B.Brahim.纤维聚合物混凝土梁正截面性能的试验研究[J].工业建筑.2001,3(9):76-81.
[41]薛伟辰,康清梁.纤维塑料筋混凝土梁受力性能的试验研究[J].工业建筑,1999,29(12):8-10.
[2]谢醒梅,韩选江,叶湘菡,现代予力混凝土结构设计理论及应用,北京:机械工业出版社,2007.
[3]宋玉普,新型预应力混凝土结构,北京:机械工业出版社,2005
[4]詹界东,杜修力,邓宗才,预应力FRP筋锚具的研究与发展,工业建筑,2006,36(12):65-457.
[5]Nilson.Design of prestressed concrete.Wiley & Sons Inc,New york,1991.
[6]Chasles w dolan,H R Hamilton Ⅲ,Charles E Bakis,Antonio Nanni,Design recommoditions for concerte structures prestcessed with FRP tendons,FHWA Contract,DTH61-96-C-00019,August 2001.
[7]Amr A Abdelrahman,Sami H Rizkalla.Deflection control of concrete beams pretensioned by CFRP reinforcements,Journal of Composites for Construction.May,1999.
[8]ACI Committee 440.2001.Guide for the design and constructions of concrete reinforced with FRP bars[S].American Concrete Institute,Farmington Hills.Mich.
[9]郝庆多,王勃,欧进萍,纤维增强塑料筋在土木工程中的应用,混凝土,2006,203(9):38-40.
[10]J.W.Gillespire J.R.Center Leads Effort to Erect One of First State_Owned All_Composite Bridge in USA[J].Composite Update,1999,(1)
[11]Sami Rizkalla and Pierre Labossiere.Structural Engineering with FRP in Canada[J].Concrete International,October,1999,25-28.
[12]Jens Christoffersen,Lar Hauge.Use of Non-corrodible Reinforcement in Concrete Bridges [A].Current and Future Trends in Bridge Design,Construction and Maintenance [C].Singapore,1999.
[13]许贤敏编译.碳纤维增强塑料筋束预应力混凝土桥[J].国外公路,1996,16(4):37-39.
[14]Charles W.Dolan.FRp Prestressing in USa[J].Concrete International,October,1999,(1):1-6.
[15]杜平安,甘娥忠等,有限元法-原理、建模及应用,国防工业出版社,北京:2004.P250-251.
[16]P.C.Cheung et al.Behaviour of beam-column joints in Seismically-loaded RC frames[J].The structural Engineering,1993:44-49.
[17]江见鲸,陆新征等.混凝土有限元分析.清华大学出版社.北京,2005.
[18]熊学玉,体外预应力结构设计,中国建筑工业出版社,北京:2005.
[19]中华人民共和国国家标准.混凝土结构设计规范(GB50010-2002).中国建筑工业出版社.2002.
[20]蓝宗建主编.混凝土结构设计原理.南京:东南大学出版社.2002
[21]宋永发,宋玉普,王清湘.无粘结部分预应力高强混凝土梁变形计算.大连理工大学学报,1999,39(4):554-556.
[22]刘超英,陈永春,杜拱辰.无粘结部分预应力矩形截面受弯构件短期刚度的试验研究.土木工程学报,1988,21(3):42-45.
[23]冯德刚.无粘结部分预应力混凝土受弯构件短期刚度的试验研究.东北电力学院学报,1996,16(4):40-41.
[24]喻伟,蔡运来.无粘结部分预应力混凝土梁短期刚度的试验研究.人民长江,1996,27(12):23-24.
[25]关建光,孟履祥等,纤维塑料筋部分预应力混凝土梁受弯性能研究,第十三届全国混凝土及预应力混凝土学术会议论文,2005,395-402
[26]程东辉,郑文忠.无粘结CFRP筋部分预应力混凝土简支梁试验与分析.中国铁道科学.2008,29(2):59-65
[27]吴翊,李永乐,胡庆军.应用数理统计.国防科技大学出版社,1995
[28]M.H.Harajli.Effect of Span-depth Ratio on the Ultimate Steel Stress in Unbonded Prestressed Concrete Member.ACI Structural Journal.1990,87(8):305-312
[29]蓝宗建、严欣春、夏保国、冯志祥.无粘结部分预应力混凝土梁裂缝宽度的计算.东南大学学报.1991,21(4)
[30]陶学康.无粘结预应力混凝土设计与施工.地震出版社,1993
[31]吕志涛,孟少平.现代预应力设计.中国建筑工业出版社,1998
[32]王晓辉,预应力FRP筋混凝土梁试验及理论研究:[硕士论文].上海:同济大学,2005.
[33]中华人民共和国建设部.无粘结预应力混凝土结构技术规程(JGJ92-2004).中国建筑工业出版社,2005
[34]蓝宗建主编.混凝土结构设计原理.南京:东南大学出版社.2002
[35]东南大学,天津大学,同济大学合遍.混凝土结构原理[M],北京:中国建筑工业出版社,2002.
[36]Willam,K.J,Warnke,E.D.Constitutive Model for the Triaxial Behavior Proceedings[J].International Association for Bridge and Structural Engineering,1975:Vol.19(No.4)
[37]郝文化.ANSYS土木工程应用实例[M].北京:中国水利水电出版社,2005.
[38]宋玉普.多种混凝土材料的本构关系与破坏准则[M].中国水利水电出版社,2002.
[39]Orozco A L,Maji A K.Eegery Release in Fiber Reinforced Plastic Reinforced Conceret Beams[J].Journal of Composites for Construction,2004,8(1):52-58.
[40]高丹盈,赵广田,B.Brahim.纤维聚合物混凝土梁正截面性能的试验研究[J].工业建筑.2001,3(9):76-81.
[41]薛伟辰,康清梁.纤维塑料筋混凝土梁受力性能的试验研究[J].工业建筑,1999,29(12):8-10.