混凝土结构多层次地震损伤模型
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摘要
结构地震损伤始于材料层次,在截面、构件、楼层、结构层次逐步发展,终止于整体功能失效。为研究其在结构内部的演化机理,提出变形等价原理与广义力-变形关系。由此,建立在各层次上力学概念相一致的多层次地震损伤模型。依据各层次地震损伤破坏的一般规律,结合广义力-变形关系曲线,提出多层次损伤性能水准,定义临界损伤值与临界性能指标。利用归一化参数,以协调各层次广义损伤与性能水准的对应关系。基于大量试验数据及数值计算结果,分析临界性能点处的对应关系,通过数值回归方法得出各层次归一化参数。多层次地震损伤模型和多层次损伤性能水准能够正确计算和评价各层次损伤演化全过程与破坏状态,为进一步揭示结构地震损伤性能的内在规律奠定基础。
Seismic damage of the structures normally begins at material level,develops at section,member,storey and structure levels,and finally ends at the global structural failure state. In order to study the damage evolution law of the structure,the deformation equivalent principle and generalized force-deformation relation are proposed. Thus,the multilevel seismic damage model is developed and shows consistent mechanical characteristic for every structural level. The multi-level seismic damage performance standard is proposed based on the general damage behavior of each structural level and generalized force-deformation relation. Furthermore,the limit damage value and critical performance indicators are defined. A normalized parameter is introduced to adjust the corresponding relation between the multi-level seismic damage model and performance. On the basis of extensive experimental data and numerical simulation results,the above relationships of each limit state are analyzed and the normalized parameters are obtained by numerical regression method.By the proposed multi-level damage model combined with performance standard,the calculated damage evolutions can correctly show the entire damage process and damage state for each structural level,which is a theoretical basis to reveal the inherent law of structural seismic damage performance.
Seismic damage of the structures normally begins at material level,develops at section,member,storey and structure levels,and finally ends at the global structural failure state. In order to study the damage evolution law of the structure,the deformation equivalent principle and generalized force-deformation relation are proposed. Thus,the multilevel seismic damage model is developed and shows consistent mechanical characteristic for every structural level. The multi-level seismic damage performance standard is proposed based on the general damage behavior of each structural level and generalized force-deformation relation. Furthermore,the limit damage value and critical performance indicators are defined. A normalized parameter is introduced to adjust the corresponding relation between the multi-level seismic damage model and performance. On the basis of extensive experimental data and numerical simulation results,the above relationships of each limit state are analyzed and the normalized parameters are obtained by numerical regression method.By the proposed multi-level damage model combined with performance standard,the calculated damage evolutions can correctly show the entire damage process and damage state for each structural level,which is a theoretical basis to reveal the inherent law of structural seismic damage performance.
引文
[1]国家自然科学基金委员会,中国科学院.未来10年中国学科发展战略:工程科学[M].北京:科学出版社,2011
[2]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010(GB 50011—2010 Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2010(in Chinese))
[3]岳健广.复杂结构地震损伤破坏的多尺度模拟及分析[D].上海:同济大学,2012(Yue Jianguang.Multi-scale simulation and analysis for earthquake damage failure of complex structure[D].Shanghai:Tongji University,2012(in Chinese))
[4]Kappos A J.Seismic damage indices for RC buildings:evaluation of concepts and procedures[J].Progress in Structural Engineering and Materials,1997,1(1):78-87
[5]Park Y J,Ang A H S,Wen Y K.Seismic damage analysis of reinforced concrete buildings[J].Journal of Structural Engineering,1985,111(4):740-757
[6]Erduran E,Yakut A.Component damage functions for reinforced concrete frame structures[J].Engineering Structures,2007,29(9):2242-2253
[7]Kratzig W B,Meyer I F,Meskouris K.Damage evolution in reinforced concrete members under cyclic loading[C]//Structural Safety and Reliability,ASCE,1989:795-804
[8]Hanganu A D,Onate E,Barbat A H.A finite element methodology for local/global damage evaluation in civil engineering structures[J].Computers&Structures,2002,80(20):1667-1687
[9]邵长江,吴永红,钱永久.混凝土桥梁结构非线性地震损伤演化[J].中国公路学报,2006,19(5):41-45(Shao Changjiang,Wu Yonghong,Qian Yongjiu.Evolution of nonlinear seismic damage of concrete bridge structure[J].China Journal of Highway and Transport,2006,19(5):41-45(in Chinese))
[10]沈怀至,张楚汉,寇立夯.基于功能的混凝土重力坝地震破坏评价模型[J].清华大学学报:自然科学版,2007,47(12):2114-2118(Shen Huaizhi,Zhang Chuhan,Kou Lihang.Performance-based seismic damage assessment model for concrete gravity dams[J].Journal of Tsinghua University:Science&Technology,2007,47(12):2114-2118(in Chinese))
[11]Sharifi A,Banan M R,Banan M R.A strain-consistent approach for determination of bounds of ductility damage index for different performance levels for seismic design of RC frame members[J].Engineering Structures,2012,37:143-151
[12]Priestley M J N,Calvi G M,Kowalsky M J.Displacementbased seismic design of structures[M].Pavia,Italy:IUSS Press,2007
[13]Technical Manual for Seismic Evaluation and Seismic Retrofit of Existing Reinforced Concrete Buildings[S].Engilish Version.The Japan Building Disaster Prevention Association,Building Research Insititute,2001
[14]Eurocode 8:Design of structures for earthquake resistance.Part 1:General rules,seismic actions and rules for buildings[S].Lodon:British Standards Institution,2003
[15]FEMA 356.Prestandard and commentary for the seismic rehabilitation of buildings[S].Washington D.C.:Federal Emergency Management Agency,2000
[16]谢礼立,马玉宏,翟长海.基于性态的抗震设防与设计地震动[M].北京:科学出版社,2009(Xie Lili,Ma Yuhong,Zhai Changhai.Performance-based seismic design and design ground motion[M].Beijing:Science Press,2009(in Chinese))
[17]欧进萍,何政,吴斌,等.钢筋混凝土结构基于地震损伤性能的设计[J].地震工程与工程振动,1999,19(1):21-30(Ou Jinping,He Zheng,Wu Bin,et al.Seismic damage performance-based design of reinforced concrete structures[J].Earthquake Engineering and Engineering Vibration,1999,19(1):21-30(in Chinese))
[18]梁兴文,黄雅捷,杨其伟.钢筋混凝土框架结构基于位移的抗震设计方法研究[J].土木工程学报,2005,38(9):53-60(Liang Xingwen,Huang Yajie,Yang Qiwei.Displacement-based seismic design method of RC frames[J].China Civil Engineering Journal,2005,38(9):53-60(in Chinese))
[19]Lemaitre J.A course on damage mechanics[M].Berlin:Springer_Verlag,1992
[20]陈惠发.混凝土和土的本构方程[M].北京:中国建筑工业出版社,2005(Chen H F.Constitutive equations for concrete and soil[M].Beijing:China Architecture&Building Press,2005(in Chinese))
[21]SEAOC.Vision 2000,Performance based seismic engineering of buildings,Vols.ⅠandⅡ:Concept framework[M].Sacramento(CA):Structural Engineers Association of California,1995
[22]GB 50010—2010混凝土结构设计规范[S].北京:中国建筑工业出版社,2010(GB 50010—2010 Code for design of concrete structures[S].Beijing:China Architecture&Building Press,2010(in Chinese))
[23]PEER.Peer structural performance database[DB/OL].http://nisee.berkeley.edu/spd
[24]同济大学土木工程防灾国家重点实验室.12层钢筋混凝土标准框架振动台模型试验的完整数据[R].上海:同济大学,2004
[2]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010(GB 50011—2010 Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2010(in Chinese))
[3]岳健广.复杂结构地震损伤破坏的多尺度模拟及分析[D].上海:同济大学,2012(Yue Jianguang.Multi-scale simulation and analysis for earthquake damage failure of complex structure[D].Shanghai:Tongji University,2012(in Chinese))
[4]Kappos A J.Seismic damage indices for RC buildings:evaluation of concepts and procedures[J].Progress in Structural Engineering and Materials,1997,1(1):78-87
[5]Park Y J,Ang A H S,Wen Y K.Seismic damage analysis of reinforced concrete buildings[J].Journal of Structural Engineering,1985,111(4):740-757
[6]Erduran E,Yakut A.Component damage functions for reinforced concrete frame structures[J].Engineering Structures,2007,29(9):2242-2253
[7]Kratzig W B,Meyer I F,Meskouris K.Damage evolution in reinforced concrete members under cyclic loading[C]//Structural Safety and Reliability,ASCE,1989:795-804
[8]Hanganu A D,Onate E,Barbat A H.A finite element methodology for local/global damage evaluation in civil engineering structures[J].Computers&Structures,2002,80(20):1667-1687
[9]邵长江,吴永红,钱永久.混凝土桥梁结构非线性地震损伤演化[J].中国公路学报,2006,19(5):41-45(Shao Changjiang,Wu Yonghong,Qian Yongjiu.Evolution of nonlinear seismic damage of concrete bridge structure[J].China Journal of Highway and Transport,2006,19(5):41-45(in Chinese))
[10]沈怀至,张楚汉,寇立夯.基于功能的混凝土重力坝地震破坏评价模型[J].清华大学学报:自然科学版,2007,47(12):2114-2118(Shen Huaizhi,Zhang Chuhan,Kou Lihang.Performance-based seismic damage assessment model for concrete gravity dams[J].Journal of Tsinghua University:Science&Technology,2007,47(12):2114-2118(in Chinese))
[11]Sharifi A,Banan M R,Banan M R.A strain-consistent approach for determination of bounds of ductility damage index for different performance levels for seismic design of RC frame members[J].Engineering Structures,2012,37:143-151
[12]Priestley M J N,Calvi G M,Kowalsky M J.Displacementbased seismic design of structures[M].Pavia,Italy:IUSS Press,2007
[13]Technical Manual for Seismic Evaluation and Seismic Retrofit of Existing Reinforced Concrete Buildings[S].Engilish Version.The Japan Building Disaster Prevention Association,Building Research Insititute,2001
[14]Eurocode 8:Design of structures for earthquake resistance.Part 1:General rules,seismic actions and rules for buildings[S].Lodon:British Standards Institution,2003
[15]FEMA 356.Prestandard and commentary for the seismic rehabilitation of buildings[S].Washington D.C.:Federal Emergency Management Agency,2000
[16]谢礼立,马玉宏,翟长海.基于性态的抗震设防与设计地震动[M].北京:科学出版社,2009(Xie Lili,Ma Yuhong,Zhai Changhai.Performance-based seismic design and design ground motion[M].Beijing:Science Press,2009(in Chinese))
[17]欧进萍,何政,吴斌,等.钢筋混凝土结构基于地震损伤性能的设计[J].地震工程与工程振动,1999,19(1):21-30(Ou Jinping,He Zheng,Wu Bin,et al.Seismic damage performance-based design of reinforced concrete structures[J].Earthquake Engineering and Engineering Vibration,1999,19(1):21-30(in Chinese))
[18]梁兴文,黄雅捷,杨其伟.钢筋混凝土框架结构基于位移的抗震设计方法研究[J].土木工程学报,2005,38(9):53-60(Liang Xingwen,Huang Yajie,Yang Qiwei.Displacement-based seismic design method of RC frames[J].China Civil Engineering Journal,2005,38(9):53-60(in Chinese))
[19]Lemaitre J.A course on damage mechanics[M].Berlin:Springer_Verlag,1992
[20]陈惠发.混凝土和土的本构方程[M].北京:中国建筑工业出版社,2005(Chen H F.Constitutive equations for concrete and soil[M].Beijing:China Architecture&Building Press,2005(in Chinese))
[21]SEAOC.Vision 2000,Performance based seismic engineering of buildings,Vols.ⅠandⅡ:Concept framework[M].Sacramento(CA):Structural Engineers Association of California,1995
[22]GB 50010—2010混凝土结构设计规范[S].北京:中国建筑工业出版社,2010(GB 50010—2010 Code for design of concrete structures[S].Beijing:China Architecture&Building Press,2010(in Chinese))
[23]PEER.Peer structural performance database[DB/OL].http://nisee.berkeley.edu/spd
[24]同济大学土木工程防灾国家重点实验室.12层钢筋混凝土标准框架振动台模型试验的完整数据[R].上海:同济大学,2004
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