地震作用下隔震桥梁的动力稳定分析
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摘要
结构动力稳定性是结构分析的前沿课题,有着重要的理论和实际应用价值。隔震桥梁在地震时,梁相对桥墩会发生运动,导致墩所受竖向力的偏心增大,为此,需要研究隔震桥梁在地震作用下的动力稳定问题。该文探讨了动力稳定分析的原理,采用时程分析与特征值屈曲分析相结合的方法,自编程序研究了在地震作用下,隔震桥梁的弹性动力稳定问题,并以世界上首座采用橡胶铅芯隔震支座的双层交通双层桥面隔震的连续梁桥——东江大桥双层墩引桥为实例,进行了地震作用下,共8种工况的稳定计算和分析。结果表明,隔震桥梁虽然采用隔震支座,取消了固定墩,但由于墩本身的变形减小,所以仍具有非常良好的地震动力稳定性能。
Structural dynamic stability is an important aspect of structural seismic performances.When earthquake happens,a relative motion would occur between girders and piers of the isolated bridge,and the eccentric force suffered by piers would increase,therefore,dynamic stability of isolated bridges subjected to earthquake should be analyzed.In this paper,the principle of dynamic stability was discussed and the elastic dynamic stability of isolated bridges subject to earthquake was studied using the combination of time-history.Eigenvalue bucking analysis was illustrated through the example of Dongjiang bridge,which is a double-layer-pier approach bridge with double traffic double LRB isolated continuous girders.8 conditions of stability and initial eccentricity caused by temperature were considered.The results showed that: although the fixed pier is replaced by the isolated bearing,the dynamic stability under earthquake is improved because the deformations of piers become small.
Structural dynamic stability is an important aspect of structural seismic performances.When earthquake happens,a relative motion would occur between girders and piers of the isolated bridge,and the eccentric force suffered by piers would increase,therefore,dynamic stability of isolated bridges subjected to earthquake should be analyzed.In this paper,the principle of dynamic stability was discussed and the elastic dynamic stability of isolated bridges subject to earthquake was studied using the combination of time-history.Eigenvalue bucking analysis was illustrated through the example of Dongjiang bridge,which is a double-layer-pier approach bridge with double traffic double LRB isolated continuous girders.8 conditions of stability and initial eccentricity caused by temperature were considered.The results showed that: although the fixed pier is replaced by the isolated bearing,the dynamic stability under earthquake is improved because the deformations of piers become small.
引文
[1]徐艳,胡世德.钢管混凝土拱桥弹性动力稳定性能研究[J].地震工程与工程振动,2006,26(4):163―167.Xu Yan,Hu Shide.Study on elastic dynamic stability of a CFST arch bridge[J].Earthquake Engineering and Engineering Vibration,2006,26(4):163―167.(in Chinese)
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[3]徐艳,胡世德.地震作用下钢管混凝土拱桥的动力稳定性[J].同济大学学报(自然科学版),2007,35(3):315―320.Xu Yan,Hu Shide.Dynamic stability of concrete filled steel tubular arch bridge under earthquake[J].Journal of Tongji University(Natural Science),2007,35(3):315―320.(in Chinese)
[4]徐艳,胡世德.钢管混凝土拱桥的动力稳定极限承载力研究[J].土木工程学报,2006,39(9):68―73.Xu Yan,Hu Shide.A study on the dynamic ultimate capacity of CFST arch bridges[J].China Civil Engineering Journal,2006,39(9):68―73.(in Chinese)
[5]刘慧娟,韩庆华,周全智.弦支穹顶结构在地震作用下的动力稳定性研究[J].天津理工大学学报,2007,23(2):84―88.Liu Huijuan,Han Qinghua,Zhou Quanzhi.Analysis on the dynamic stability of suspen-dome[J].Journal of Tianjin University of Technology,2007,23(2):84―88.(in Chinese)
[6]郭海山,沈世钊.单层网壳结构动力稳定性分析方法[J].建筑结构学报,2003,24(3):1―9.Guo Haishan,Shen Shizhao.Analysis method of dynamic stability of single-layer reticulated domes[J].Journal of Building Structures,2003,24(3):1―9.(in Chinese)
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[8]李黎,廖萍,龙晓鸿,彭元诚.薄壁高墩大跨度连续刚构桥的非线性稳定分析[J].工程力学,2006,23(5):119―124,88.Li Li,Liao Ping,Long Xiaohong,Peng Yuancheng.Nonlinear stability analysis of long-span continuous rigid frame bridge with thin-wall high piers[J].Engineering Mechanics,2006,23(5):119―124,88.(in Chinese)
[9]史小伟.某大跨连续刚构桥的抗震研究[D].武汉:华中科技大学,2005.Shi Xiaowei.The study on the aseismatic behavior of a long-span continuous rigid-framed bridge[D].Wuhan:Huazhong University of Science and Technology,2005.(in Chinese)
[10]韩强.弹塑性系统的动力屈曲和分叉[M].北京:科学出版社,2000.Han Qiang.Dynamic buckling and bifurcation of elasto-plastic system[M].Beijing:Science Press,2000.(in Chinese)
[11]Movchan A.The direct method of Liapunov in stability problems of elastic systems[J].Journal of Applied Mathematics and Mechanics,1959,23:670―686.
[12]Budiansky B,Roth S R.Axisymmetric dynamic buckling of clamped shallow spherical shells[C].Collected Papers on Stability of Shell Structures.USA:NASA,1962:597―609.
[13]Hsu C S.On dynamic stability of elastic badies with prescribed initial condition[J].International Journal of Engineering Science,1966,4:1―21.
[14]Simitses G J.Suddenly-loaded structural configuration[J].Journal of Engineering Mechanics,ASCE,1984,110(9):1320―1334.
[15]Simitses G J.Effect of static preloading on the dynamic stability of structure[J].AIAA,1980,21(8):1174―1180.
[16]Akkas N.Asymmetric buckling behavior of spherical caps under uniform step pressure[J].Journal of Applied Mechanics,1972,39:293―294.
[17]朱兆祥,余同希.应力波引起的弹性结构的屈曲准则[C].塑性力学和地球动力学文集.北京:北京大学出版社,1990:56―70.Zhu Zhaoxiang,Yu Tongxi.Criterion of structural elastic buckling caused by stress waves[C].Collected Papers on Plasticity and Earth Dynamics.Beijing:Peking University Press,1990:56―70.(in Chinese)
[18]魏勇,朱兆祥,李永池.轴向冲击荷载作用下直杆弹性动力屈曲的研究[J].实验力学,1988,3(3):258―263.Wei Yong,Zhu Zhaoxiang,Li Yongchi.Buckling of rods under impact load[J].Journal of Experimental Mechanics,1988,3(3):258―263.(in Chinese)
[19]李忠学,沈祖炎,邓长根.广义位移控制法在动力稳定问题中的应用[J].同济大学学报(自然科学版),1998,26(6):609―612.Li Zhongxue,Shen Zuyan,Deng Changgen.Application of general displacement controlling method in dynamic stability problems[J].Journal of Tongji University(Natural Science),1998,26(6):609―612.(in Chinese)
[2]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,2004.Xu Yan.Study on dynamic stability of a CFST arch bridge[D].Shanghai:Tongji University,2004.(in Chinese)
[3]徐艳,胡世德.地震作用下钢管混凝土拱桥的动力稳定性[J].同济大学学报(自然科学版),2007,35(3):315―320.Xu Yan,Hu Shide.Dynamic stability of concrete filled steel tubular arch bridge under earthquake[J].Journal of Tongji University(Natural Science),2007,35(3):315―320.(in Chinese)
[4]徐艳,胡世德.钢管混凝土拱桥的动力稳定极限承载力研究[J].土木工程学报,2006,39(9):68―73.Xu Yan,Hu Shide.A study on the dynamic ultimate capacity of CFST arch bridges[J].China Civil Engineering Journal,2006,39(9):68―73.(in Chinese)
[5]刘慧娟,韩庆华,周全智.弦支穹顶结构在地震作用下的动力稳定性研究[J].天津理工大学学报,2007,23(2):84―88.Liu Huijuan,Han Qinghua,Zhou Quanzhi.Analysis on the dynamic stability of suspen-dome[J].Journal of Tianjin University of Technology,2007,23(2):84―88.(in Chinese)
[6]郭海山,沈世钊.单层网壳结构动力稳定性分析方法[J].建筑结构学报,2003,24(3):1―9.Guo Haishan,Shen Shizhao.Analysis method of dynamic stability of single-layer reticulated domes[J].Journal of Building Structures,2003,24(3):1―9.(in Chinese)
[7]廖萍,李黎,彭元诚.薄壁高墩连续刚构桥的线性稳定分析[J].公路,2005,50(4):47―50.Liao Ping,Li Li,Peng Yuancheng.Linear stability analysis of continuous rigid frame bridge with high thin-walled piers[J].Highway,2005,50(4):47―50.(in Chinese)
[8]李黎,廖萍,龙晓鸿,彭元诚.薄壁高墩大跨度连续刚构桥的非线性稳定分析[J].工程力学,2006,23(5):119―124,88.Li Li,Liao Ping,Long Xiaohong,Peng Yuancheng.Nonlinear stability analysis of long-span continuous rigid frame bridge with thin-wall high piers[J].Engineering Mechanics,2006,23(5):119―124,88.(in Chinese)
[9]史小伟.某大跨连续刚构桥的抗震研究[D].武汉:华中科技大学,2005.Shi Xiaowei.The study on the aseismatic behavior of a long-span continuous rigid-framed bridge[D].Wuhan:Huazhong University of Science and Technology,2005.(in Chinese)
[10]韩强.弹塑性系统的动力屈曲和分叉[M].北京:科学出版社,2000.Han Qiang.Dynamic buckling and bifurcation of elasto-plastic system[M].Beijing:Science Press,2000.(in Chinese)
[11]Movchan A.The direct method of Liapunov in stability problems of elastic systems[J].Journal of Applied Mathematics and Mechanics,1959,23:670―686.
[12]Budiansky B,Roth S R.Axisymmetric dynamic buckling of clamped shallow spherical shells[C].Collected Papers on Stability of Shell Structures.USA:NASA,1962:597―609.
[13]Hsu C S.On dynamic stability of elastic badies with prescribed initial condition[J].International Journal of Engineering Science,1966,4:1―21.
[14]Simitses G J.Suddenly-loaded structural configuration[J].Journal of Engineering Mechanics,ASCE,1984,110(9):1320―1334.
[15]Simitses G J.Effect of static preloading on the dynamic stability of structure[J].AIAA,1980,21(8):1174―1180.
[16]Akkas N.Asymmetric buckling behavior of spherical caps under uniform step pressure[J].Journal of Applied Mechanics,1972,39:293―294.
[17]朱兆祥,余同希.应力波引起的弹性结构的屈曲准则[C].塑性力学和地球动力学文集.北京:北京大学出版社,1990:56―70.Zhu Zhaoxiang,Yu Tongxi.Criterion of structural elastic buckling caused by stress waves[C].Collected Papers on Plasticity and Earth Dynamics.Beijing:Peking University Press,1990:56―70.(in Chinese)
[18]魏勇,朱兆祥,李永池.轴向冲击荷载作用下直杆弹性动力屈曲的研究[J].实验力学,1988,3(3):258―263.Wei Yong,Zhu Zhaoxiang,Li Yongchi.Buckling of rods under impact load[J].Journal of Experimental Mechanics,1988,3(3):258―263.(in Chinese)
[19]李忠学,沈祖炎,邓长根.广义位移控制法在动力稳定问题中的应用[J].同济大学学报(自然科学版),1998,26(6):609―612.Li Zhongxue,Shen Zuyan,Deng Changgen.Application of general displacement controlling method in dynamic stability problems[J].Journal of Tongji University(Natural Science),1998,26(6):609―612.(in Chinese)
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