超高强混凝土柱力学性能非线性有限元分析
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摘要
随着建筑结构不断向高层结构发展,超高强混凝土得到了日益广泛的应用。超高强混凝土所具有的更高的强度和更好的耐久性正是其表现出越来越显著的优异性能。而非线性有限元仿真模拟技术的发展,并应用于钢筋混凝土结构构件分析中,正是钢筋混凝土有限元分析技术的重大进步。它使得人们可以用计算机模拟钢筋混凝土结构的破坏全过程,钢筋及混凝土材料的应力应变状态以及钢筋和混凝土之间的交互作用,通过计算人们对钢筋混凝土结构的性状有了更为全面和深入的掌握。
本文首先从钢筋混凝土材料的弹塑性本构关系着手,详细讨论了混凝土的破坏准则、破坏曲面以及各种破坏模型。然后本文基于大型有限元软件ANSYS,就钢筋混凝土结构在非线性分析中应用的组合方式及出现的各种单元作了具体分析讨论。
基于超高强混凝土柱低周反复荷载试验的结果,本文利用大型有限元分析软件ANSYS,建立了不同剪跨比,不同配箍率的超高强混凝土柱的计算模型,并对其进行了在不同轴压比条件下低周反复荷载全过程非线性有限元分析,得到了混凝土柱的滞回曲线,骨架曲线。将滞回曲线与骨架曲线计算结果与试验结果进行对比,发现吻合较好,通过对得到的数据结果进行拟合分析,能够更清楚的验证试验中得到的构件耗能参数与轴压比及配箍率的变化关系,很好的反映了超高强混凝土柱在地震荷载作用下的抗震性能规律。然后本文通过有限元的分析结果进行了进一步补充和深入分析,对前人已提出补充规范的超高强混凝土柱斜截面抗剪承载力公式提出了改进公式,经计算发现,改进公式具有更好的精确性和更小的离散性。
Recently,super-high-strength concret (SHSC) is more and more widely used because of its good capability of resisting architectur needs of high-rise structure. SHSC has been shown to have advantages such as higher strength and better durability. And nonlinear finite elemen tmethod means a great progress for RC structure analysis. This method makes it possible for investigators to simulate the whole proeess of RC structure, the material characteristic of RC such as elasticity, plastieity and erack and the bond between conerete and steel. The property of RC structure can be grasped more deeply and fully by calculation.
In the paper,the author firstly begin with the Strain-Stress relationship of RC materials, the Failure Criteria, Failure Surface and various Failure Model of concrete is discussed respectively. Seeondly, all element types needed in Nonlinear Finite Element Analysis (NFEA) of RC structure and the compounding models in ANSYS are studied.
Based on the low-cycle reversed loading tests , the super-high-strength concrete columns of different shear span ratio and different stirrup reinforcement ratio were modeled with ANSYS software and the low-cycle reversed loading tests on condition of different axial load ratio were non-linearly simulated. The hysteretic curves,skeleton curves were obtained. The calculated hysteretic curves and skeleton curves were corresponding well with experimental results. Through the fitting analysis of the data, we can test the variance relationship between the energy-dissipatio the axial load ratio and the stirrup reinforcement ratio of concrete columns more clearly. The data reflect the seismic performance rule of the super-high-strength concrete columns under earthquake load. Then the paper make supplement and further discussion using the finite element analysis results, bring out an improved formula to ameliorate the former supplemental normative super-high-strength concret columns diagonal-section shear strength. Through the calculation, the author find that the improved formula has an better accuracy and less discreteness.
本文首先从钢筋混凝土材料的弹塑性本构关系着手,详细讨论了混凝土的破坏准则、破坏曲面以及各种破坏模型。然后本文基于大型有限元软件ANSYS,就钢筋混凝土结构在非线性分析中应用的组合方式及出现的各种单元作了具体分析讨论。
基于超高强混凝土柱低周反复荷载试验的结果,本文利用大型有限元分析软件ANSYS,建立了不同剪跨比,不同配箍率的超高强混凝土柱的计算模型,并对其进行了在不同轴压比条件下低周反复荷载全过程非线性有限元分析,得到了混凝土柱的滞回曲线,骨架曲线。将滞回曲线与骨架曲线计算结果与试验结果进行对比,发现吻合较好,通过对得到的数据结果进行拟合分析,能够更清楚的验证试验中得到的构件耗能参数与轴压比及配箍率的变化关系,很好的反映了超高强混凝土柱在地震荷载作用下的抗震性能规律。然后本文通过有限元的分析结果进行了进一步补充和深入分析,对前人已提出补充规范的超高强混凝土柱斜截面抗剪承载力公式提出了改进公式,经计算发现,改进公式具有更好的精确性和更小的离散性。
Recently,super-high-strength concret (SHSC) is more and more widely used because of its good capability of resisting architectur needs of high-rise structure. SHSC has been shown to have advantages such as higher strength and better durability. And nonlinear finite elemen tmethod means a great progress for RC structure analysis. This method makes it possible for investigators to simulate the whole proeess of RC structure, the material characteristic of RC such as elasticity, plastieity and erack and the bond between conerete and steel. The property of RC structure can be grasped more deeply and fully by calculation.
In the paper,the author firstly begin with the Strain-Stress relationship of RC materials, the Failure Criteria, Failure Surface and various Failure Model of concrete is discussed respectively. Seeondly, all element types needed in Nonlinear Finite Element Analysis (NFEA) of RC structure and the compounding models in ANSYS are studied.
Based on the low-cycle reversed loading tests , the super-high-strength concrete columns of different shear span ratio and different stirrup reinforcement ratio were modeled with ANSYS software and the low-cycle reversed loading tests on condition of different axial load ratio were non-linearly simulated. The hysteretic curves,skeleton curves were obtained. The calculated hysteretic curves and skeleton curves were corresponding well with experimental results. Through the fitting analysis of the data, we can test the variance relationship between the energy-dissipatio the axial load ratio and the stirrup reinforcement ratio of concrete columns more clearly. The data reflect the seismic performance rule of the super-high-strength concrete columns under earthquake load. Then the paper make supplement and further discussion using the finite element analysis results, bring out an improved formula to ameliorate the former supplemental normative super-high-strength concret columns diagonal-section shear strength. Through the calculation, the author find that the improved formula has an better accuracy and less discreteness.
引文
[1]李惠.高强混凝土及其组合结构.北京:科学出版社,2004.
[2]Azizinamini A.et al.Seismic behavior on square high-strength concrete columns.ACI Structural Journal,1994,91(3):336-345.
[3]Legeron F.and Paultre P.Behavior of high-strength concrete columns under cyclic flexure and constant axial load.2000,97(4):591-601.
[4]Xiao Y,Yun H W.Experimental studies on full-scale high-strength concrete columns[J].ACI Structural Journal,2002 99(2):199-207.
[5]中国工程建设标准化协会标准.高强混凝土结构技术规程CESC104:99.北京:中国建筑工业出版社,1999.
[6]谢涛,陈肇元.高强混凝土柱抗震性能的试验研究.建筑结构.1998,(12).
[73 FReeDeRICLe,GERON,PATRICKPAULTRE.Behavior of high-strength concrete column under cyclic flexure and constant axial[J].ACI Structural Journal.2000,97(3):591-601.
[8]姜睿.超高强混凝土组合柱抗震性能的试验研究:(博士学位论文).大连:大连理工大学,2007.
[9]张国军等.高强混凝土框架柱的研究与进展.西安建筑科技大学学报(自然科学版).2002,(3).
[10]贾金青,赵国藩.高强混凝土短柱的轴压比限值.工业建筑,2002,32(6):18-20.
[11]贾金青.高强混凝土短抗柱抗剪承载力的试验研究.大连理工大学学报,2001,41(1):104-107.
[12]贾金青,赵国藩.高强混凝土短柱的抗剪强度.建筑结构,2000,10:9-10.
[13]贾金青,孙宝玉.高强混凝土短柱抗震性能试验研究.大连理工大学学报,2000,40(1):109-111.
[14]框架短柱专题组.高强混凝土框架短柱抗震性能的实验研究.西安:西建筑科技大学.1991.
[15]Scordelis,A.C.et all,Finite element analysis of reinforced beam.ACI Journal,Vol.64,March.1967.
[16]欧进萍.重大工程结构的累积损伤与安全评定.走向21世纪的中国力学,中国科协第9次青年科学家论坛报告文集.北京:清华大学出版社,1996:179-189.
[17]过镇海,时旭东编著.钢筋混凝土原理和分析.北京:清华大学出版社,2003:65-67,82-127.
[18]黄斯林.高强混凝土剪力墙基本性能计算机仿真分析.西安建筑科技大学硕士学位论文.2005:19-24.
[19]D.Darwin,D.A.Peeknold.Nonlinear Biaxial Stress-Strain Law for Conerete,Engineering Mechanics Division,Apr.1977:80-85.
[20]薛林华.拉压二向应力状态下混凝土特性的试验研究.河海大学硕士学位论文.1989:42-50.
[21]俞茂宏等著.混凝土强度理论及其应用.北京:高等教育出版社,2002:74-81.
[22]宋玉普编著.多轴混凝土材料的本构关系和破坏准则.北京:中国水利水电出版社,2002:78-85.
[23]董哲仁.钢筋混凝土非线性有限元原理与应用.北京:中国水利水电出版社,2002.
[24]王勇威,蒲心诚,王志军.单轴压力下56.3-164.9MPa混凝土的应力-应变关系.建筑结构学报,2005,Vol.26,No.1:97-102.
[25]朱伯龙,懂振样.钢筋混凝土非线性分析.上海:同济大学出版社,1985.
[26]吕西林,金国芳.钢筋混凝土结构非线性有限元理论与应用.上海:同济大学出版社,1997.45.
[27]江见鲸.钢筋混凝土结构非线性有限元分析.西安:陕西科学技术出版社,1994.
[28]江见鲸,陆新征,叶列平.混凝土结构有限元.北京:清华大学出版社,2004.
[29]宋天霞,黄荣杰,杜太生.钢筋混凝土非线性有限元及其优化设计.华中科技大学出版社,2003.
[30]过振海.钢筋混凝土原理.北京:清华大学出版社,1997.
[31]赵国藩.高等钢筋混凝土结构学.机械工业出版社,2005.
[32]陈惠发.土木工程材料的本构方程.武汉:华中科技大学出版社,2001.
[33]沈聚敏,王传志,江见鲸.钢筋混凝土有限元和板壳极限分析.北京:清华大学出版社,1991:1-9.
[34]康清梁.钢筋混凝土有限元分析.北京:中国水利水电出版社,1996.
[35]王国强.实用工程数值分析模拟技术及其在ANSYS上的实践.西安:西北工业大学出版社,1999.
[36]江见鲸.工程结构计算机仿真分析.北京:清华大学出版社,1996.
[37]夸克工作室.有限元分析基础篇ANSYS与MATLAB.北京:清华大学出版社,2002.
[38]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005.
[39]Legeron F,Paultre,P.Uniaxial confinement model for normal and high-strength concrete columns[J].Journal of Structural Engineering,2003,129(2):241-252.
[40]Hassan M,Sherif E T.Inelastic Dynamic Behavior of Hybrid Coupled Walls[J].Journal of Structural Engineering,ASCE,2004,130(2):285-296.
[41]Hsieh T K.Foundation vibrations[J].Proceedings of the Institution of Civil Engineers,1962,22:221-226.
[42]Fanning P.Nonlinear Models of Reinforced and Post-tensioned Concrete Beams[J].Electronic Journal of Structural Engineering,2001,(2):1112119.
[43]Chansawant K.Nonlinear Finite Analysis of Reinforced Concrete Structures Strengthened with FRP Laminates[D].Corvallis:Oregon State University,2003.
[44]陆新征,江见鲸,用ANSYS Solid65单元分析混凝土组合构件复杂应力[J].建筑结构,2003,33(6):22224.
[45]Bae S J,Mieses A M,Bayrak O Z.Inelastic Buckling of Reinforcing Bars[J].Journal of Strctural Engineering,ASCE,2005,131(2):314-321.
[46]江见鲸,何放龙,何益斌,陆新征.有限元法及其应用[M].北京:机械工业出版社,2006.
[47]中国建筑科学研究院.混凝土结构设计[M].北京:中国建筑工业出版社,2004.
[48]王铁成,康谷贻.高强度混凝土构件斜截面受剪承载力设计.天津大学学报,2001,34(5).
[49]贾金青,徐世娘,赵国藩.配箍率对高强混凝土短柱轴压力系数影响的研究.土木工程学报,2002,35(6):39-43.
[50]贾金青,赵国藩.高强混凝土框架短柱力学性能的试验研究.建筑结构学报,2001,22(3):43-47
[2]Azizinamini A.et al.Seismic behavior on square high-strength concrete columns.ACI Structural Journal,1994,91(3):336-345.
[3]Legeron F.and Paultre P.Behavior of high-strength concrete columns under cyclic flexure and constant axial load.2000,97(4):591-601.
[4]Xiao Y,Yun H W.Experimental studies on full-scale high-strength concrete columns[J].ACI Structural Journal,2002 99(2):199-207.
[5]中国工程建设标准化协会标准.高强混凝土结构技术规程CESC104:99.北京:中国建筑工业出版社,1999.
[6]谢涛,陈肇元.高强混凝土柱抗震性能的试验研究.建筑结构.1998,(12).
[73 FReeDeRICLe,GERON,PATRICKPAULTRE.Behavior of high-strength concrete column under cyclic flexure and constant axial[J].ACI Structural Journal.2000,97(3):591-601.
[8]姜睿.超高强混凝土组合柱抗震性能的试验研究:(博士学位论文).大连:大连理工大学,2007.
[9]张国军等.高强混凝土框架柱的研究与进展.西安建筑科技大学学报(自然科学版).2002,(3).
[10]贾金青,赵国藩.高强混凝土短柱的轴压比限值.工业建筑,2002,32(6):18-20.
[11]贾金青.高强混凝土短抗柱抗剪承载力的试验研究.大连理工大学学报,2001,41(1):104-107.
[12]贾金青,赵国藩.高强混凝土短柱的抗剪强度.建筑结构,2000,10:9-10.
[13]贾金青,孙宝玉.高强混凝土短柱抗震性能试验研究.大连理工大学学报,2000,40(1):109-111.
[14]框架短柱专题组.高强混凝土框架短柱抗震性能的实验研究.西安:西建筑科技大学.1991.
[15]Scordelis,A.C.et all,Finite element analysis of reinforced beam.ACI Journal,Vol.64,March.1967.
[16]欧进萍.重大工程结构的累积损伤与安全评定.走向21世纪的中国力学,中国科协第9次青年科学家论坛报告文集.北京:清华大学出版社,1996:179-189.
[17]过镇海,时旭东编著.钢筋混凝土原理和分析.北京:清华大学出版社,2003:65-67,82-127.
[18]黄斯林.高强混凝土剪力墙基本性能计算机仿真分析.西安建筑科技大学硕士学位论文.2005:19-24.
[19]D.Darwin,D.A.Peeknold.Nonlinear Biaxial Stress-Strain Law for Conerete,Engineering Mechanics Division,Apr.1977:80-85.
[20]薛林华.拉压二向应力状态下混凝土特性的试验研究.河海大学硕士学位论文.1989:42-50.
[21]俞茂宏等著.混凝土强度理论及其应用.北京:高等教育出版社,2002:74-81.
[22]宋玉普编著.多轴混凝土材料的本构关系和破坏准则.北京:中国水利水电出版社,2002:78-85.
[23]董哲仁.钢筋混凝土非线性有限元原理与应用.北京:中国水利水电出版社,2002.
[24]王勇威,蒲心诚,王志军.单轴压力下56.3-164.9MPa混凝土的应力-应变关系.建筑结构学报,2005,Vol.26,No.1:97-102.
[25]朱伯龙,懂振样.钢筋混凝土非线性分析.上海:同济大学出版社,1985.
[26]吕西林,金国芳.钢筋混凝土结构非线性有限元理论与应用.上海:同济大学出版社,1997.45.
[27]江见鲸.钢筋混凝土结构非线性有限元分析.西安:陕西科学技术出版社,1994.
[28]江见鲸,陆新征,叶列平.混凝土结构有限元.北京:清华大学出版社,2004.
[29]宋天霞,黄荣杰,杜太生.钢筋混凝土非线性有限元及其优化设计.华中科技大学出版社,2003.
[30]过振海.钢筋混凝土原理.北京:清华大学出版社,1997.
[31]赵国藩.高等钢筋混凝土结构学.机械工业出版社,2005.
[32]陈惠发.土木工程材料的本构方程.武汉:华中科技大学出版社,2001.
[33]沈聚敏,王传志,江见鲸.钢筋混凝土有限元和板壳极限分析.北京:清华大学出版社,1991:1-9.
[34]康清梁.钢筋混凝土有限元分析.北京:中国水利水电出版社,1996.
[35]王国强.实用工程数值分析模拟技术及其在ANSYS上的实践.西安:西北工业大学出版社,1999.
[36]江见鲸.工程结构计算机仿真分析.北京:清华大学出版社,1996.
[37]夸克工作室.有限元分析基础篇ANSYS与MATLAB.北京:清华大学出版社,2002.
[38]江见鲸,陆新征,叶列平.混凝土结构有限元分析[M].北京:清华大学出版社,2005.
[39]Legeron F,Paultre,P.Uniaxial confinement model for normal and high-strength concrete columns[J].Journal of Structural Engineering,2003,129(2):241-252.
[40]Hassan M,Sherif E T.Inelastic Dynamic Behavior of Hybrid Coupled Walls[J].Journal of Structural Engineering,ASCE,2004,130(2):285-296.
[41]Hsieh T K.Foundation vibrations[J].Proceedings of the Institution of Civil Engineers,1962,22:221-226.
[42]Fanning P.Nonlinear Models of Reinforced and Post-tensioned Concrete Beams[J].Electronic Journal of Structural Engineering,2001,(2):1112119.
[43]Chansawant K.Nonlinear Finite Analysis of Reinforced Concrete Structures Strengthened with FRP Laminates[D].Corvallis:Oregon State University,2003.
[44]陆新征,江见鲸,用ANSYS Solid65单元分析混凝土组合构件复杂应力[J].建筑结构,2003,33(6):22224.
[45]Bae S J,Mieses A M,Bayrak O Z.Inelastic Buckling of Reinforcing Bars[J].Journal of Strctural Engineering,ASCE,2005,131(2):314-321.
[46]江见鲸,何放龙,何益斌,陆新征.有限元法及其应用[M].北京:机械工业出版社,2006.
[47]中国建筑科学研究院.混凝土结构设计[M].北京:中国建筑工业出版社,2004.
[48]王铁成,康谷贻.高强度混凝土构件斜截面受剪承载力设计.天津大学学报,2001,34(5).
[49]贾金青,徐世娘,赵国藩.配箍率对高强混凝土短柱轴压力系数影响的研究.土木工程学报,2002,35(6):39-43.
[50]贾金青,赵国藩.高强混凝土框架短柱力学性能的试验研究.建筑结构学报,2001,22(3):43-47
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