地震作用下斜靠式拱桥的动力稳定性
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摘要
以某钢管混凝土斜靠式拱桥为研究对象,基于Lyapunov运动稳定性原理,给出斜靠式拱桥的动力稳定性判断准则.通过地震时程响应和屈曲分析,绘制斜靠式拱桥在顺桥向、横桥向及竖向地震激励下的动力特征值时程曲线,描述斜靠式拱桥的动力失稳模态,揭示地震输入方向及稳定拱肋倾角对斜靠式拱桥动力稳定性的影响规律.研究表明,地震荷载作用下斜靠式拱桥动力稳定性的最不利激励方向为竖向;随着稳定拱肋倾角的增大,斜靠式拱桥的侧向刚度显著提高,动力稳定系数基本呈增大趋势.
The criteria of dynamic stability of leaning-type arch bridge were worked out on the basis of the Lyapunov theory of motion stability. The dynamic characteristic time-history curves and dynamic buckling modes were presented under the seismic exercitation in longitudinal,transverse and vertical direction of the bridge by means of seismic time history buckling analysis. The influence of variation of the angle of inclined arch rib on dynamic stability was also studied. The results show that vertical direction is the worst seismic exercitation direction of leaning-type arch bridge for the dynamic stability,stiffness of arch ribs in transverse direction can improve efficiently and the coefficient of dynamic stability of the bridge can increase gradually with the increase of inclined angle of stability arch rib.
The criteria of dynamic stability of leaning-type arch bridge were worked out on the basis of the Lyapunov theory of motion stability. The dynamic characteristic time-history curves and dynamic buckling modes were presented under the seismic exercitation in longitudinal,transverse and vertical direction of the bridge by means of seismic time history buckling analysis. The influence of variation of the angle of inclined arch rib on dynamic stability was also studied. The results show that vertical direction is the worst seismic exercitation direction of leaning-type arch bridge for the dynamic stability,stiffness of arch ribs in transverse direction can improve efficiently and the coefficient of dynamic stability of the bridge can increase gradually with the increase of inclined angle of stability arch rib.
引文
[1]肖汝诚,孙海涛,贾丽君,等.昆山玉峰桥-首座大跨度无推力斜靠式拱桥的设计研究[J].土木工程学报,2005,38(1):78-83.
[2]李莹.斜靠式梁拱组合体系桥梁设计理论研究[D].上海:同济大学,2006.
[3]陈淮,孙应桃.斜靠式拱桥拱肋倾角变化对稳定性能的影响[J].铁道科学与工程学报,2009,6(1):21-24.
[4]刘爱荣,禹奇才,张俊平,等.斜拱肋倾角变化对斜靠式拱桥地震响应的影响[J].暨南大学学报自然科学版,2010,31(3):270-273.
[5]舒仲周.运动稳定性[M].成都:西南交通大学出版社,1989.
[6]Movchan A A.弹性系统稳定问题中的Lyapunov直接法[J].应用力学,1959,23:670-686.(英文版)
[7]韩强.弹塑性系统的动力屈曲和分叉[M].北京:科学出版社,2000.
[8]王策,沈世钊.单层球面网壳结构的动力稳定性[J].土木工程学报,2000,33(6):17-24.
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[10]王述超,张行,叶志雄,等.超限高层建筑地震作用下的动力稳定性分析[J].振动与冲击,2009,28(4):149-172.
[11]刘爱荣,禹奇才,张俊平.大跨度连续刚架拱桥的地震响应研究[J].深圳大学学报理工版,2007,24(3):228-233.(英文版)
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[2]LI Ying.Study on design theories of combinatorial bridges with beam and leaning arch[D].Shanghai:Tongji Uni-versity,2006.(in Chinese)
[3]CHEN Huai,SUN Ying-tao.Variational sloping angle of arch rib influence on the stability of double X-shaped arch bridge[J].China Journal of Railway Science and Engi-neering,2009,6(1):21-24.(in Chinese)
[4]LIU Ai-rong,YU Qi-cai,ZHANG Jun-ping,et al.Influence of variation of incline angle of inclined arch rib on seismic response of leaning-type arch bridge[J].Jour-nal of Jinan Unversity,2009,31(3):270-273.(in Chi-nese)
[5]SHUZhong-zhou.Stability of movement[M].Cheng Du:South West Jiao Tong University Press,1960.(in Chi-nese)
[6]Movchan A A.The direct method of Lyapunov in stability problems of elastic systems[J].Journal of Applied Me-chanics,1959,23:670-686.
[7]HAN Qiang.Dynamic bucking and bifurcation of elastic-plastic system[M].Beijing:Science and Technology Press,2000.(in Chinese)
[8]WHANG Ce,SHEN Shi-zhao.Dynamic stability of single layer reticulated dome[J].China Civil Engineering Jour-nal,2000,33(6):17-24.(in Chinese)
[9]Simitses G J.Suddenly Loaded structural configuration[J].Journal of Engineering Mechanics,1984,110(9):1320-1334.
[10]WANG Shu-chao,ZHANG Hang,YE Zhi-xiong,et al.Dynamic stability analysis for an out-of-codes high rise building under earthquak[J].Journal of Vibration and Shock,2009,28(4):149-172.(in Chinese)
[11]LIU Ai-rong,YU Qi-cai,ZHANG Jun-ping.Seismic re-sponse of long span continuous rigid-frame arch bridge[J].Journal of Shenzhen University Science and Engi-neering,2007,24(3):228-233.
[2]李莹.斜靠式梁拱组合体系桥梁设计理论研究[D].上海:同济大学,2006.
[3]陈淮,孙应桃.斜靠式拱桥拱肋倾角变化对稳定性能的影响[J].铁道科学与工程学报,2009,6(1):21-24.
[4]刘爱荣,禹奇才,张俊平,等.斜拱肋倾角变化对斜靠式拱桥地震响应的影响[J].暨南大学学报自然科学版,2010,31(3):270-273.
[5]舒仲周.运动稳定性[M].成都:西南交通大学出版社,1989.
[6]Movchan A A.弹性系统稳定问题中的Lyapunov直接法[J].应用力学,1959,23:670-686.(英文版)
[7]韩强.弹塑性系统的动力屈曲和分叉[M].北京:科学出版社,2000.
[8]王策,沈世钊.单层球面网壳结构的动力稳定性[J].土木工程学报,2000,33(6):17-24.
[9]Simitses G J.冲击荷载下的结构构形[J].工程力学,1984,110(9):1320-1334.(英文版)
[10]王述超,张行,叶志雄,等.超限高层建筑地震作用下的动力稳定性分析[J].振动与冲击,2009,28(4):149-172.
[11]刘爱荣,禹奇才,张俊平.大跨度连续刚架拱桥的地震响应研究[J].深圳大学学报理工版,2007,24(3):228-233.(英文版)
[1]XIAO Ru-cheng,SUN Hai-tao,JIA Li-jun.Kun-shan Yu-feng bridge--design of the first long-span leaning-type arch bridge without thrust[J].China Civil Engineering Journal,2005,38(1):78-83.(in Chinese)
[2]LI Ying.Study on design theories of combinatorial bridges with beam and leaning arch[D].Shanghai:Tongji Uni-versity,2006.(in Chinese)
[3]CHEN Huai,SUN Ying-tao.Variational sloping angle of arch rib influence on the stability of double X-shaped arch bridge[J].China Journal of Railway Science and Engi-neering,2009,6(1):21-24.(in Chinese)
[4]LIU Ai-rong,YU Qi-cai,ZHANG Jun-ping,et al.Influence of variation of incline angle of inclined arch rib on seismic response of leaning-type arch bridge[J].Jour-nal of Jinan Unversity,2009,31(3):270-273.(in Chi-nese)
[5]SHUZhong-zhou.Stability of movement[M].Cheng Du:South West Jiao Tong University Press,1960.(in Chi-nese)
[6]Movchan A A.The direct method of Lyapunov in stability problems of elastic systems[J].Journal of Applied Me-chanics,1959,23:670-686.
[7]HAN Qiang.Dynamic bucking and bifurcation of elastic-plastic system[M].Beijing:Science and Technology Press,2000.(in Chinese)
[8]WHANG Ce,SHEN Shi-zhao.Dynamic stability of single layer reticulated dome[J].China Civil Engineering Jour-nal,2000,33(6):17-24.(in Chinese)
[9]Simitses G J.Suddenly Loaded structural configuration[J].Journal of Engineering Mechanics,1984,110(9):1320-1334.
[10]WANG Shu-chao,ZHANG Hang,YE Zhi-xiong,et al.Dynamic stability analysis for an out-of-codes high rise building under earthquak[J].Journal of Vibration and Shock,2009,28(4):149-172.(in Chinese)
[11]LIU Ai-rong,YU Qi-cai,ZHANG Jun-ping.Seismic re-sponse of long span continuous rigid-frame arch bridge[J].Journal of Shenzhen University Science and Engi-neering,2007,24(3):228-233.
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