混凝土桥梁结构非线性地震损伤演化
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摘要
采用基于断裂能的损伤变量表达式,以单位体积材料当前耗能与断裂能的比值定义损伤变量,考虑了混凝土的拉压异性效应。引入了地震损伤的整体演化指标,通过有限元方法利用材料塑性损伤模型模拟桥梁结构在地震激励下的非线性损伤演化过程。数值计算过程中考虑了混凝土后继屈服的随动强化效应,采用损伤型本构关系及相应的Drucker-Prager型屈服函数,并通过算例验证了混凝土结构的非线性地震损伤特性。
Based on damage variable expression of fracture energy,ratio of current energy dissipation to fracture energy in unit volume was supplied to define damage variable considered the difference effect of concrete under tension and compression.The total evolution index was induced and the FEM of material plastic damage model was supplied to simulate the nonlinear damage evolution of bridge structure subjected to the earthquake excitation.The kinematic hardening effect with respect to the post yielding of concrete in the process of numerical calculation was considered;the Drucker-Prager type yielding function as well as the damage constitutive relationship was used and authors verified the property of nonlinear seismic damage of the concrete structure through calculated example.
Based on damage variable expression of fracture energy,ratio of current energy dissipation to fracture energy in unit volume was supplied to define damage variable considered the difference effect of concrete under tension and compression.The total evolution index was induced and the FEM of material plastic damage model was supplied to simulate the nonlinear damage evolution of bridge structure subjected to the earthquake excitation.The kinematic hardening effect with respect to the post yielding of concrete in the process of numerical calculation was considered;the Drucker-Prager type yielding function as well as the damage constitutive relationship was used and authors verified the property of nonlinear seismic damage of the concrete structure through calculated example.
引文
[1]王军文,李建中,范立础.连续梁桥纵向地震碰撞反应参数研究[J].中国公路学报,2005,18(4):42-47.WANG Jun-wen,LI Jian-zhong,FAN Li-chu.Para-metric Study of Longitudinal Seismic Pounding Re-sponse for Continuous Girder Bridges[J].China Jour-nal of Highway and Transport,2005,18(4):42-47.
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[9]王柏生,何宗成,赵琛.混凝土大坝结构损伤检测振动法的可行性[J].建筑科学与工程学报,2005,22(2):51-56.WANG Bai-sheng,HE Zong-cheng,ZHAO Chen.Feasibility About Vibration-Based Method for Struc-tural Damage Detection of Concrete Dams[J].Journalof Architecture and Civil Engineering,2005,22(2):51-56.
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[11]张杨,李国强.通用频率指纹库在固接梁损伤定位中的应用[J].建筑科学与工程学报,2005,22(4):40-44.ZHANG Yang,LI Guo-qiang.Application of Univer-sal Bank of Natural Frequency Indexes in Damage Lo-cation of Beams with Fixed Ends[J].Journal of Ar-chitecture and Civil Engineering,2005,22(4):40-44.
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[17]MARANTE M E,FLOREZ-LOPEZ J.Model of Damagefor RC Elements Subjected to Biaxial Bending[J].En-gineering Structures,2002,24(5):1 141-1 152.
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[19]LEMAITRE J.损伤力学教程[M].倪金刚,陶春虎,译.北京:科学出版社,1996:16-25.LEMAITRE J.Damage Mechanics Tutorial[M].Translated by NI Jin-gang,TAO Chun-hu.Beijing:Science Press,1996:16-25.
[20]LEE J,FENVES G L.A Plastic-Damage ConcreteModel for Earthquake Analysis of Dams[J].Earth-quake Engineering and Structural Dynamics,1998,27(4):937-956.
[2]于泳波,万振江,刘健新.减震技术在公路桥梁中的应用及地震反应分析[J].长安大学学报:自然科学版,2004,24(2):58-60.YU Yong-bo,WAN Zhen-jiang,LIU Jian-xin.SeismicReduction Design for Highway Bridge and SeismicResponse[J].Journal of Chang an University:NaturalScience Edition,2004,24(2):58-60.
[3]刘忠,沈蒲生,陈铖.惯性荷载和地震荷载作用下单桩横向非线性动力响应简化分析[J].中国公路学报,2005,18(3):66-69.LIU Zhong,SHEN Pu-sheng,CHEN Cheng.Simpli-fied Analysis for Lateral Nonlinear Dynamic Responseof Single Pile Under Inertial and Seismic Loads[J].China Journal of Highway and Transport,2005,18(3):66-69.
[4]宋一凡,王玉萍.计入弹性基础效应的钢筋混凝土桥梁结构塑性倒塌分析[J].交通运输工程学报,2003,3(3):26-31.SONG Yi-fan,WANG Yu-ping.Plastic CollapseMechanism of Seismic Assessment for Existing RCBridges with Flexible Foundation and Bearing Pads[J].Journal of Traffic and Transportation Engineer-ing,2003,3(3):26-31.
[5]胡世德,苏虹,王君杰.钢管混凝土拱桥的三维弹塑性地震反应理论分析[J].中国公路学报,2004,17(1):57-61.HU Shi-de,SU Hong,WANG Jun-jie.Three Dimen-sional Elasto-Plastic Seismic Response Analysis ofCFST Bridge[J].China Journal of Highway andTransport,2004,17(1):57-61.
[6]陈水生,万益春,野田尚昭.隔震桥梁地震响应非线性分析[J].长安大学学报:自然科学版,2006,26(1):54-58.CHEN Shui-sheng,WAN Yi-chun,NODA Naoaki.Nonlinear Response of Isolated-Bridge Subjected toSeismic Excitation[J].Journal of Chang an Universi-ty:Natural Science Edition,2006,26(1):54-58.
[7]周勇军,贺拴海,宋一凡,等.在役桥梁结构延性系数的动力学评价方法[J].长安大学学报:自然科学版,2005,25(4):35-38.ZHOU Yong-jun,HE Shuan-hai,SONG Yi-fan,et al.Dynamic Assessment Method of Ductility Coefficientfor Existing Beam Bridges[J].Journal of Chang an U-niversity:Natural Science Edition,2005,25(4):35-38.
[8]吴建营,李杰.混凝土弹塑性损伤本构关系统一模型[J].建筑科学与工程学报,2005,22(4):15-21.WU Jian-ying,LI Jie.Unified Elasto-Plastic DamageConstitutive Relations Model for Concrete[J].Journalof Architecture and Civil Engineering,2005,22(4):15-21.
[9]王柏生,何宗成,赵琛.混凝土大坝结构损伤检测振动法的可行性[J].建筑科学与工程学报,2005,22(2):51-56.WANG Bai-sheng,HE Zong-cheng,ZHAO Chen.Feasibility About Vibration-Based Method for Struc-tural Damage Detection of Concrete Dams[J].Journalof Architecture and Civil Engineering,2005,22(2):51-56.
[10]谢峻,韩大建.钢筋混凝土简支T型梁桥损伤识别的数值模拟[J].中国公路学报,2004,17(4):45-49.XIE Jun,HAN Da-jian.Numerical Simulation of Dam-age Detection for Simple-Supported Reinforced Con-crete T-Beam Bridge[J].China Journal of Highwayand Transport,2004,17(4):45-49.
[11]张杨,李国强.通用频率指纹库在固接梁损伤定位中的应用[J].建筑科学与工程学报,2005,22(4):40-44.ZHANG Yang,LI Guo-qiang.Application of Univer-sal Bank of Natural Frequency Indexes in Damage Lo-cation of Beams with Fixed Ends[J].Journal of Ar-chitecture and Civil Engineering,2005,22(4):40-44.
[12]LUBLINER J,OLIVER J,OLLER S,et al.A Plastic-Damage Model for Concrete[J].International Journalof Solids and Structures,1989,26(3):299-326.
[13]LEE J,FENVES G L.Plastic-Damage Model for Cy-clic Loading of Concrete Structures[J].Journal of En-gineering Mechanics,1998,124(8):892-900.
[14]BARBAT A H,OLLER S,ONATE E,et al.ViscousDamage Model for Timoshenko Beam Structures[J].International Journal of Solids and Structures,1997,34(30):3 953-3 976.
[15]HANGANU A D,ONATE E,BARBAT A H.A Fi-nite Element Methodology for Local/Global DamageEvaluation in Civil Engineering Structures[J].Com-puters and Structures,2002,80(12):1 667-1 687.
[16]TIKHOMIROV D,STEIN E.Finite Element Compu-tations of Anisotropic Continuum Damage in Concrete[J].Computers and Structures,2001,79(6):2 249-2 260.
[17]MARANTE M E,FLOREZ-LOPEZ J.Model of Damagefor RC Elements Subjected to Biaxial Bending[J].En-gineering Structures,2002,24(5):1 141-1 152.
[18]MARANTE M E,FLOREZ-LOPEZ J.Three-Dimen-sional Analysis of Reinforced Concrete Frames Basedon Lumped Damage Mechanics[J].International Jour-nal of Solids and Structures,2003,40(19):5 109-5 123.
[19]LEMAITRE J.损伤力学教程[M].倪金刚,陶春虎,译.北京:科学出版社,1996:16-25.LEMAITRE J.Damage Mechanics Tutorial[M].Translated by NI Jin-gang,TAO Chun-hu.Beijing:Science Press,1996:16-25.
[20]LEE J,FENVES G L.A Plastic-Damage ConcreteModel for Earthquake Analysis of Dams[J].Earth-quake Engineering and Structural Dynamics,1998,27(4):937-956.
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