等效成二自由度体系的规则梁式桥概率地震需求分析
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摘要
以二自由度体系上下子结构的质量比、刚度比,下部子结构的屈服水平系数及自振周期等为计算参数编制程序,分析了这些参数以及场地条件对二自由度体系的位移及延性需求的影响规律,并回归得到了二自由度体系位移系数及延性需求的均值与标准差的计算公式,进而提出了二自由度体系概率地震位移延性需求分析的简化方法。最后,利用该方法对一全联采用板式橡胶支座联结的规则梁式桥进行了概率地震位移及延性需求分析,并与增量动力分析方法的结果进行对比,验证了该方法的有效性。
The relationships between ductility demand and structural parameters of a two-degree-of-freedom system(2DOFS),such as the mass ratio,stiffness ratio of the upper to lower substructure,the yield level factor and vibration period of the lower substructure were analyzed.Influence rules of the parameters and field condition on displacement and ductility demand of 2DOFS were analyzed.The regression formulas of the mean value and standard deviation of the displacement factor and ductility demand of 2DOFS were obtained.Then,a simplified method of probabilistic seismic demand analysis of 2DOFS was proposed.In the end,the probabilistic seismic displacements and ductility demands of a regular beam bridge with plank rubber abutment were analyzed by the proposed method and incremental dynamic analysis method,and the validity of proposed method was proved by the comparison of results of the two methods.
The relationships between ductility demand and structural parameters of a two-degree-of-freedom system(2DOFS),such as the mass ratio,stiffness ratio of the upper to lower substructure,the yield level factor and vibration period of the lower substructure were analyzed.Influence rules of the parameters and field condition on displacement and ductility demand of 2DOFS were analyzed.The regression formulas of the mean value and standard deviation of the displacement factor and ductility demand of 2DOFS were obtained.Then,a simplified method of probabilistic seismic demand analysis of 2DOFS was proposed.In the end,the probabilistic seismic displacements and ductility demands of a regular beam bridge with plank rubber abutment were analyzed by the proposed method and incremental dynamic analysis method,and the validity of proposed method was proved by the comparison of results of the two methods.
引文
[1]易伟建,张海燕.结构随机延性需求谱的理论研究[J].工程力学,2006,23(5):14-19.YI Wei-jian,ZHANG Hai-yan.Theory Research onStructural Probabilistic Ductility Demand Spectrum[J].Engineering Mechanics,2006,23(5):14-19.
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[8]吴刚,吴智深,罗云标,等.FRP网格约速混凝土圆柱的抗震性能[J].建筑科学与工程学报,2007,24(4):39-44.WU Gang,WU Zhi-shen,LUO Yun-biao,et al.Aseis-mic Performance of Circular Concrete Columns Con-fined with FRP Grids[J].Journal of Architecture andCivil Engineering,2007,24(4):39-44.
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[11]张海燕.基于位移的概率地震需求分析与结构抗震设计研究[D].长沙:湖南大学,2005.ZHANG Hai-yan.Displacement-based ProbabilisticSeismic Demand Analysis and Structural Seismic De-sign Research[D].Changsha:Hunan University,2005.
[12]SHOME N.Probabilistic Seismic Demand Analysis ofNonlinear Structures[D].Stanford:Stanford Univer-sity,1999:1-320.
[13]范立础,李建中,王君杰.高架桥梁抗震设计[M].北京:人民交通出版社,2001:110-137.FAN Li-chu,LI Jian-zhong,WANG Jun-jie.SeismicDesign of Viaduct[M].Beijing:China Communica-tions Press,2001:110-137.
[14]JTJ 004—89,公路工程抗震设计规范[S].JTJ 004—89,Seismic Design Code of Highway Engi-neering[S].
[15]VAMVATSIKOS D,CORNELL C A.Incremental Dy-namic Analysis[J].Earthquake Engng Struct Dyn,2002,31(3):491-514.
[2]王锁军,王元清,吴杰,等.组合梁刚度对组合框架的抗震性能影响分析[J].建筑科学与工程学报,2006,23(1):39-44.WANG Suo-jun,WANG Yuan-qing,WU Jie,et al.A-nalysis of Composite Beam Rigidity Influencing Seis-mic Properties of Composite Frame[J].Journal of Ar-chitecture and Civil Engineering,2006,23(1):39-44.
[3]黄建文,朱②.以位移为基础的钢筋混凝土连续梁桥抗震设计方法[J].中国公路学报,2005,18(2):28-33.HUANG Jian-wen,ZHU Xi.Displacement-basedSeismic Design Method for RC Continuous GirderBridges[J].China Journal of Highway and Trans-port,2005,18(2):28-33.
[4]易伟建,张颖.混凝土框架结构抗震设计的弯矩增大系数[J].建筑科学与工程学报,2006,23(2):46-51.YI Wei-jian,ZHANG Ying.Moment MagnificationFactor in Anti-seismic Design of Concrete FrameStructure[J].Journal of Architecture and Civil Engi-neering,2006,23(2):46-51.
[5]楼梦麟,雍国柱,李建元.阻尼特性对组合结构地震反应的影响[J].建筑科学与工程学报,2007,24(2):24-29.LOU Meng-lin,YONG Guo-zhu,LI Jian-yuan.Influ-ence of Damping Characteristics on Seismic Responsesof Composite Structures[J].Journal of Architectureand Civil Engineering,2007,24(2):24-29.
[6]童根树.与抗震设计有关的结构和构件的分类及结构影响系数[J].建筑科学与工程学报,2007,24(3):65-75.TONG Gen-shu.Seismic-design-oriented Classifica-tion of Structures and Members and Structure Influ-ence Coefficient[J].Journal of Architecture and CivilEngineering,2007,24(3):65-75.
[7]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,NAOAKI N[J].Journal of Chang an University:Natural Science Edi-tion,2006,26(1):54-58.
[8]吴刚,吴智深,罗云标,等.FRP网格约速混凝土圆柱的抗震性能[J].建筑科学与工程学报,2007,24(4):39-44.WU Gang,WU Zhi-shen,LUO Yun-biao,et al.Aseis-mic Performance of Circular Concrete Columns Con-fined with FRP Grids[J].Journal of Architecture andCivil Engineering,2007,24(4):39-44.
[9]KARIM K R,YAMAZAKI F A.Simplified Methodof Constructing Fragility Curves for Highway Bridges[J].Earthquake Engng Struct Dyn,2003,32(10):1 603-1 626.
[10]李中锡,周锡元.规则型隔震房屋的自振特性和地震反应分析方法[J].地震工程与工程振动,2002,22(2):33-41.LI Zhong-xi,ZHOU Xi-yuan.Simplified AnalysisMethod of Seismically Isolated Regular Building[J].Earthquake Engineering and Engineering Vibration,2002,22(2):33-41.
[11]张海燕.基于位移的概率地震需求分析与结构抗震设计研究[D].长沙:湖南大学,2005.ZHANG Hai-yan.Displacement-based ProbabilisticSeismic Demand Analysis and Structural Seismic De-sign Research[D].Changsha:Hunan University,2005.
[12]SHOME N.Probabilistic Seismic Demand Analysis ofNonlinear Structures[D].Stanford:Stanford Univer-sity,1999:1-320.
[13]范立础,李建中,王君杰.高架桥梁抗震设计[M].北京:人民交通出版社,2001:110-137.FAN Li-chu,LI Jian-zhong,WANG Jun-jie.SeismicDesign of Viaduct[M].Beijing:China Communica-tions Press,2001:110-137.
[14]JTJ 004—89,公路工程抗震设计规范[S].JTJ 004—89,Seismic Design Code of Highway Engi-neering[S].
[15]VAMVATSIKOS D,CORNELL C A.Incremental Dy-namic Analysis[J].Earthquake Engng Struct Dyn,2002,31(3):491-514.
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