地震作用下钢管混凝土拱桥的动力稳定性
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摘要
仿照拱结构静力稳定问题的分类,提出钢管混凝土拱桥在地震作用下基于Liapunov运动稳定性定义的动力第一类稳定的概念和基于极值理论的动力第二类稳定的概念,研究其动力稳定问题.前者本质上为弹性动力屈曲,通过改进的时间冻结法即动态特征值方法进行研究;后者本质上是动力极值问题,根据Budiansky&Roth失稳准则(简称B-R准则)结合动态增量法进行研究.从稳定的角度对钢管混凝土拱桥的抗震性能进行研究和探讨,结果表明其具有较高的动力稳定性能.
Concept of two different categories of dynamic stability excited by earthquake is proposed by following the classification of static stability of arch structures.The first definition of dynamic stability is essentially dynamic buckling on the definition of Liapunov,which is analyzed by a modified time freezing method,i.e.dynamic eigenvalue method;the second one is actually the dynamic ultimate load carrying capacity,which is obtained by combing incremental dynamic analysis(IDA)with Budiansky & Roth(B-R)criteria.Researches and discussions on seismic behavior of concrete filled steel tubular(CFST)arch bridges are then carried out from the point of view of dynamic stability.Results show that this type of bridge is of a better performance of dynamic stability.
Concept of two different categories of dynamic stability excited by earthquake is proposed by following the classification of static stability of arch structures.The first definition of dynamic stability is essentially dynamic buckling on the definition of Liapunov,which is analyzed by a modified time freezing method,i.e.dynamic eigenvalue method;the second one is actually the dynamic ultimate load carrying capacity,which is obtained by combing incremental dynamic analysis(IDA)with Budiansky & Roth(B-R)criteria.Researches and discussions on seismic behavior of concrete filled steel tubular(CFST)arch bridges are then carried out from the point of view of dynamic stability.Results show that this type of bridge is of a better performance of dynamic stability.
引文
[1]陈宝春.钢管混凝土拱桥计算理论研究进展[J].土木工程学报,2003,36(12):47.CHEN Baochun.State of the art theory of calculation for con-crete filled steel tubular arch bridge[J].China Civil EngineeringJournal,2003,36(12):47.
[2]项海帆,刘光栋.拱结构的稳定与振动[M].北京:人民交通出版社,1990.XIANG Haifan,LIU Guangdong.Stability and vibration of archstructure[M].Beijing:China Communications Press,1990.
[3]徐艳,胡世德.钢管混凝土模型拱的弹性动力稳定性研究[J].同济大学学报:自然科学版,2005,33(1):6.XU Yan,HU Shide.Research on elastic dynamic stability ofCFST arch model[J].Journal of Tongji University:Natural Sci-ence,2005,33(1):6.
[4]范立础,胡世德,叶爱君.大跨度桥梁抗震设计[M].北京:人民交通出版社,2001.FAN Lichu,HU Shide,YE Aijun.Seismic design of long spanbridges[M].Beijing:China Communications Press,2001.
[5]熊峰.钢管混凝土拱桥的抗震性能研究[D].成都:四川大学土木系,2001.XIONG Feng.Study on seismic behavior of concrete filled steeltubular arch bridges[D].Chengdu:Department of Civil Engi-neering,Sichuan University,2001.
[6]韩强.弹塑性系统的动力屈曲和分叉[M].北京:科学技术出版社,2000.HAN Qiang.Dynamic buckling and bifurcation of elastic-plasticsystem[M].Beijing:Science and Technology Press,2000.
[7]沈祖炎,叶继红.运动稳定性理论在结构动力分析中的应用[J].工程力学,1997,14(3):21.SHEN Zuyan,YE Jihong.Structural dynamic analysis by mo-tion stability theory[J].Journal of Engineering Mechanics,1997,14(3):21.
[8]Messier R H,Mareal P V.A finite element algorithm for thedetermination of dynamic buckling[C]∥Finite Element Analysisof Transient Nonlinear Structural.Houston:ASCE Appl MechSymp Series,1975:133-156.
[9]Vamvatsikos Dimitrios,Cornell C Allin.Incremental dynamicanalysis[J].Earthquake Engineering and Structural Dynamics,2002,31:491.
[10]徐艳.钢管混凝土拱桥的动力稳定性能研究[D].上海:同济大学桥梁工程系,2004.XU Yan.Research on dynamic stability of concrete filled steeltubular arch bridges[D].Shanghai:Department of Bridge Engi-neering,Tongji University,2004.
[2]项海帆,刘光栋.拱结构的稳定与振动[M].北京:人民交通出版社,1990.XIANG Haifan,LIU Guangdong.Stability and vibration of archstructure[M].Beijing:China Communications Press,1990.
[3]徐艳,胡世德.钢管混凝土模型拱的弹性动力稳定性研究[J].同济大学学报:自然科学版,2005,33(1):6.XU Yan,HU Shide.Research on elastic dynamic stability ofCFST arch model[J].Journal of Tongji University:Natural Sci-ence,2005,33(1):6.
[4]范立础,胡世德,叶爱君.大跨度桥梁抗震设计[M].北京:人民交通出版社,2001.FAN Lichu,HU Shide,YE Aijun.Seismic design of long spanbridges[M].Beijing:China Communications Press,2001.
[5]熊峰.钢管混凝土拱桥的抗震性能研究[D].成都:四川大学土木系,2001.XIONG Feng.Study on seismic behavior of concrete filled steeltubular arch bridges[D].Chengdu:Department of Civil Engi-neering,Sichuan University,2001.
[6]韩强.弹塑性系统的动力屈曲和分叉[M].北京:科学技术出版社,2000.HAN Qiang.Dynamic buckling and bifurcation of elastic-plasticsystem[M].Beijing:Science and Technology Press,2000.
[7]沈祖炎,叶继红.运动稳定性理论在结构动力分析中的应用[J].工程力学,1997,14(3):21.SHEN Zuyan,YE Jihong.Structural dynamic analysis by mo-tion stability theory[J].Journal of Engineering Mechanics,1997,14(3):21.
[8]Messier R H,Mareal P V.A finite element algorithm for thedetermination of dynamic buckling[C]∥Finite Element Analysisof Transient Nonlinear Structural.Houston:ASCE Appl MechSymp Series,1975:133-156.
[9]Vamvatsikos Dimitrios,Cornell C Allin.Incremental dynamicanalysis[J].Earthquake Engineering and Structural Dynamics,2002,31:491.
[10]徐艳.钢管混凝土拱桥的动力稳定性能研究[D].上海:同济大学桥梁工程系,2004.XU Yan.Research on dynamic stability of concrete filled steeltubular arch bridges[D].Shanghai:Department of Bridge Engi-neering,Tongji University,2004.
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