地震作用下大跨度悬索桥几何非线性影响分析
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摘要
大跨度悬索桥几何非线性主要来自3个方面:缆索垂度效应、梁柱效应、大位移引起的几何形状变化。鉴于地震波高频成分振幅大,低频成分振幅小的特点,很难对地震作用下大跨度悬索桥几何非线性的影响做出定性判断。目前大跨度桥梁的几何非线性研究主要集中在斜拉桥,且不同的学者得出了不同的结论。本文以逐级加大振幅的Ⅳ类场地多条地震波为激励,通过对称与非对称的2座典型大跨度悬索桥的几何非线性影响对比分析,探讨了几何非线性对大跨度悬索桥重要地震响应量的影响程度及其原因,并提出了相应的抗震设计参考建议。
Geometric nonlinearity of long-span suspension bridge mainly comes from three aspects:the cable sag effect,the beam-column effect and the large displacement caused by large changes in the structural geometry.Considering the particularity of seismic ground motions,the amplitudes of high-frequency components of which are usually larger than the low-frequency components,it is difficult to make qualitative judgments of the effects of geometric nonlinearity for the long-span suspension bridge under earthquakes. The existing research about the effects of geometric nonlinearity on the long-span bridges focuses on the cable-stayed bridges,and conflicting results can be seen.In this paper,the comparative analysis of the effects of geometric nonlinearity on two typical symmetric and asymmetric long-span suspension bridges are carried out under seismic ground motions with progressively increased magnitudes for four types of sites. The levels of the geometric nonlinear effects on the responses of long-span suspension bridges and corresponding reasons are investigated and some suggestions are offered.
Geometric nonlinearity of long-span suspension bridge mainly comes from three aspects:the cable sag effect,the beam-column effect and the large displacement caused by large changes in the structural geometry.Considering the particularity of seismic ground motions,the amplitudes of high-frequency components of which are usually larger than the low-frequency components,it is difficult to make qualitative judgments of the effects of geometric nonlinearity for the long-span suspension bridge under earthquakes. The existing research about the effects of geometric nonlinearity on the long-span bridges focuses on the cable-stayed bridges,and conflicting results can be seen.In this paper,the comparative analysis of the effects of geometric nonlinearity on two typical symmetric and asymmetric long-span suspension bridges are carried out under seismic ground motions with progressively increased magnitudes for four types of sites. The levels of the geometric nonlinear effects on the responses of long-span suspension bridges and corresponding reasons are investigated and some suggestions are offered.
引文
[1]Nazmy A S,Abdel-Ghaffar A M.Non-linear earthquake -response analysis of log-span cable-stayed bridges:theory[J].Earthquake Engineering and Structural Dynamics,1990,19(1):45-62.
[2]Nazmy A S,Abdel-Ghaffar A M.Non-linear earthquake -response analysis of log-span cable-stayed bridges:applications[J].Earthquake Engineering and Structural Dynamics,1990,19(1):63-76.
[3]肖汝诚,项海帆.大跨径悬索桥结构分析理论及其专用程序系统的研究[J].中国公路学报,1998,11(4):42- 49. Xiao R C,Xiang H F.Research on the structural analysis theory and special program of long-span suspension bridge[J].China Journal of Highway and Transport,1998,ll(4):42-49.
[4]秦权,楼雷.非经典阻尼对悬索桥地震反应的影响[J].土木工程学报,1999,32(3):17-22. Qin Q,Lou L.Effect of non-proportional damping on seismic responses of suspension bridges[J].China Civil Engineering Journal,1999,32(3):17-22.
[5]傅强.悬索桥空间非线性分析[J].同济大学学报, 1997,25(3):364-368. Fu Q.Non-linear analysis of the space of suspension bridges[J].Journal of Tongji University,1997,25 (3):364-368.
[6]Ingham T J,Rodriguez S,Nader M.Nonlinear analysis of the Vincent Thomas Bridge for seismic retrofit [J].Computer & Structure,1997,64(5/6):1221-1238.
[7]王浩,李爱群,郭彤.超大跨悬索桥地震响应的综合最优控制研究[J].湖南大学学报,2006,33(3):6- 10. Wang H,Li A Q,Guo T.Compositive optimal control of the seismic response for super-long-span suspension bridges[J].Journal of Hunan University, 2006,33(3):6-10.
[8]Nazmy A S,Abdel-Ghaffar A M.Effects of ground ??motion spatial variability on the response of cable-stayed bridges[J].Earthquake Engineering & Structural Dynamics.1992,21(1):1-20.
[9]张卉,王志清,彭元诚,等.四渡河大跨悬索桥空间地震响应分析[J].地震工程与工程振动,2007,27(3): 70-76. Zhang H,Wang Z Q,Peng Y C,et al.Spatial seismic response analysis of long-span suspension bridge across Sidu river[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(3):70-76.
[10]Arzoumanidis S,Shama A,Ostadan F.Performance-based seismic analysis and design of suspension bridges[J].Earthquake Engineering and Structural Dynamics,2005,34(4):349-367.
[11]Tuladhar R J,Dilger W H.Construction of geometric non-linear to static and seismic response of cable-stayed bridge[J].Earthquake Engineering Structure Dynamic,1997,26(1):45-55.
[12]邓育林.大跨度预应力混凝土斜拉桥地震反应分析[D].武汉:华中科技大学,2005. Deng Y L.A Thesis submitted in partial fulfillment of the requirements for the degree of master of engineering [D].Wuhan:Huazhong University of Science & Technology,2005.
[2]Nazmy A S,Abdel-Ghaffar A M.Non-linear earthquake -response analysis of log-span cable-stayed bridges:applications[J].Earthquake Engineering and Structural Dynamics,1990,19(1):63-76.
[3]肖汝诚,项海帆.大跨径悬索桥结构分析理论及其专用程序系统的研究[J].中国公路学报,1998,11(4):42- 49. Xiao R C,Xiang H F.Research on the structural analysis theory and special program of long-span suspension bridge[J].China Journal of Highway and Transport,1998,ll(4):42-49.
[4]秦权,楼雷.非经典阻尼对悬索桥地震反应的影响[J].土木工程学报,1999,32(3):17-22. Qin Q,Lou L.Effect of non-proportional damping on seismic responses of suspension bridges[J].China Civil Engineering Journal,1999,32(3):17-22.
[5]傅强.悬索桥空间非线性分析[J].同济大学学报, 1997,25(3):364-368. Fu Q.Non-linear analysis of the space of suspension bridges[J].Journal of Tongji University,1997,25 (3):364-368.
[6]Ingham T J,Rodriguez S,Nader M.Nonlinear analysis of the Vincent Thomas Bridge for seismic retrofit [J].Computer & Structure,1997,64(5/6):1221-1238.
[7]王浩,李爱群,郭彤.超大跨悬索桥地震响应的综合最优控制研究[J].湖南大学学报,2006,33(3):6- 10. Wang H,Li A Q,Guo T.Compositive optimal control of the seismic response for super-long-span suspension bridges[J].Journal of Hunan University, 2006,33(3):6-10.
[8]Nazmy A S,Abdel-Ghaffar A M.Effects of ground ??motion spatial variability on the response of cable-stayed bridges[J].Earthquake Engineering & Structural Dynamics.1992,21(1):1-20.
[9]张卉,王志清,彭元诚,等.四渡河大跨悬索桥空间地震响应分析[J].地震工程与工程振动,2007,27(3): 70-76. Zhang H,Wang Z Q,Peng Y C,et al.Spatial seismic response analysis of long-span suspension bridge across Sidu river[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(3):70-76.
[10]Arzoumanidis S,Shama A,Ostadan F.Performance-based seismic analysis and design of suspension bridges[J].Earthquake Engineering and Structural Dynamics,2005,34(4):349-367.
[11]Tuladhar R J,Dilger W H.Construction of geometric non-linear to static and seismic response of cable-stayed bridge[J].Earthquake Engineering Structure Dynamic,1997,26(1):45-55.
[12]邓育林.大跨度预应力混凝土斜拉桥地震反应分析[D].武汉:华中科技大学,2005. Deng Y L.A Thesis submitted in partial fulfillment of the requirements for the degree of master of engineering [D].Wuhan:Huazhong University of Science & Technology,2005.
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