高墩大跨弯连续刚构桥空间稳定性的解析解
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摘要
根据高墩弯连续刚构桥从裸墩、悬臂浇筑施工到成桥各阶段的受力特点,将成桥后主梁对主墩的约束作用简化为等效约束刚度的弹簧,利用Hamilton原理,推导高墩自体、悬浇施工以及成桥阶段的动力稳定方程,进一步退化为静力稳定问题,得到了静力稳定系数表达式,并分析了诸因素对高墩弯连续刚构桥稳定性的影响.从而寻求高墩大跨弯连续刚构桥梁空间稳定性的实用简便算法.通过实例分析,验证其计算结果的可靠性.
According to the character under power of curved continuous rigid frame bridge with high pier from single pier,cantilever construction to complete bridge,the equivalent restraint stiffness spring is utilized to simplify the main beam constraint to the main pier in the state of completed bridge.The dynamic stability equations of structures at each stage are derived by Hamilton principle and are converted in to the static stability equations.Based on these,the static stability factors of structures are obtained and the effect of various parameters to the stability of curved continuous rigid frame bridge with high pier is studied here.The purpose of the paper is to seek a practical simple stability analysis arithmetic of long span curved continuous rigid frame bridge with high pier.Through the case study to verify the calculation results a certain reliability is providcd.
According to the character under power of curved continuous rigid frame bridge with high pier from single pier,cantilever construction to complete bridge,the equivalent restraint stiffness spring is utilized to simplify the main beam constraint to the main pier in the state of completed bridge.The dynamic stability equations of structures at each stage are derived by Hamilton principle and are converted in to the static stability equations.Based on these,the static stability factors of structures are obtained and the effect of various parameters to the stability of curved continuous rigid frame bridge with high pier is studied here.The purpose of the paper is to seek a practical simple stability analysis arithmetic of long span curved continuous rigid frame bridge with high pier.Through the case study to verify the calculation results a certain reliability is providcd.
引文
[1]李文华.高墩大跨径连续刚构弯桥全过程稳定性分析[D].西安:长安大学,2005.LI Wen-hua.The stability analysis in the whole stage of large-span curved continuous rigid-frame bridges with highpiers[D].Xi′an:Chang’an University,2005.
[2]郭梅.高墩大跨连续刚构桥稳定性分析[J].长安大学学报,1999,7(3):31-38.GUO Mei.Stability analysis of the continuous rigid frame bridge with high pier and large span[J].Journal of Xi′an Changan university,1999,7(3):31-38.
[3]NAZMY A S.Stability and load-carrying capacity of three-dimensional long-span steel arch bridges[J].Computersand Structurs,1997,65(6):857-868.
[4]克拉夫R W,彭津J.结构动力学[M].北京:科学出版社,1981.Clough R W,Penzien J.Dynamics of structures[M].Beijing:The science publishing press,1981.
[5]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,2002.LI Guo-hao.Stability and vibration of bridge structures[M].Railway publishing house of China,2002.
[6]李青宁,张学峰,李晓凤,等.拱桥在转动地震输入下的动力模型分析[J].西安建筑科技大学学报:自然科学版,2004,36(4):417-420.LI Qing-ning,ZHANG Xue-feng,LI Xiao-feng,et al.Dynamic model anlysis of arch bridge under rotational seis-mic input[J].J.Xi′an Univ.of Arch.&Tech.:Natural Science Edition,2004,36(4):417-420.
[7]尹海军,李子青,郭琦,等.大跨高墩连续刚构桥动力特性研究[J].西安建筑科技大学学报:自然科学版,2010,42(5):663-668.YIN Hai-jun,LI Zi-qing,GUO Qi,et al.Study on the dynamic characteristics of long span continuous rigid framebridge with high wall piers[J].J.Xi′an Univ.of Arch.&Tech.:Natural Science Edition,2010,42(5):663-668.
[2]郭梅.高墩大跨连续刚构桥稳定性分析[J].长安大学学报,1999,7(3):31-38.GUO Mei.Stability analysis of the continuous rigid frame bridge with high pier and large span[J].Journal of Xi′an Changan university,1999,7(3):31-38.
[3]NAZMY A S.Stability and load-carrying capacity of three-dimensional long-span steel arch bridges[J].Computersand Structurs,1997,65(6):857-868.
[4]克拉夫R W,彭津J.结构动力学[M].北京:科学出版社,1981.Clough R W,Penzien J.Dynamics of structures[M].Beijing:The science publishing press,1981.
[5]李国豪.桥梁结构稳定与振动[M].北京:中国铁道出版社,2002.LI Guo-hao.Stability and vibration of bridge structures[M].Railway publishing house of China,2002.
[6]李青宁,张学峰,李晓凤,等.拱桥在转动地震输入下的动力模型分析[J].西安建筑科技大学学报:自然科学版,2004,36(4):417-420.LI Qing-ning,ZHANG Xue-feng,LI Xiao-feng,et al.Dynamic model anlysis of arch bridge under rotational seis-mic input[J].J.Xi′an Univ.of Arch.&Tech.:Natural Science Edition,2004,36(4):417-420.
[7]尹海军,李子青,郭琦,等.大跨高墩连续刚构桥动力特性研究[J].西安建筑科技大学学报:自然科学版,2010,42(5):663-668.YIN Hai-jun,LI Zi-qing,GUO Qi,et al.Study on the dynamic characteristics of long span continuous rigid framebridge with high wall piers[J].J.Xi′an Univ.of Arch.&Tech.:Natural Science Edition,2010,42(5):663-668.
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