行波激励下大跨度拱桥随机地震响应分析
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摘要
基于随机振动理论,研究了大跨度拱桥在行波激励作用下的平稳随机地震响应特性,揭示了地震视波速及场地条件对大跨度拱桥的地震响应影响规律.研究结果表明:行波效应和地震场地条件对大跨度拱桥地震响应影响很大,随着地震视波速减小主拱圈内力表现为递增趋势,当视波速为50 m.s-1时拱脚弯矩较一致激励增大了84%;随着场地刚度减小主拱圈内力逐渐增大,在一致激励作用下,软场地及中等场地条件下,拱脚弯矩分别比硬场地条件下增大了94%和22%.
Based on the theory of random vibration,the stationary random seismic response characteristics for long-span arch bridge excited by traveling wave was investigated in this paper,from which the influence trends of the seismic shearwave velocity and field conditions on long-span arch bridge were revealed.It is showed that the effect of traveling wave and filed conditions of seismic site have a great contribution to the seismic response of long-span arch bridge.With the seismic shearwave velocity decreasing,the internal forces of the main arch show an increasing trend.Compared with the synchronous seismic excitation,the bending moment of arch springing increases by 84% under the shearwave velocity of 50 m·s-1,and with the stiffness of field increasing,the internal forces of the main arch become smaller.Under the synchronous seismic excitation,the bending moment of arch springing in soft soil and medium soil increases by 94% and 22% respectively more than that in firm soil field.
Based on the theory of random vibration,the stationary random seismic response characteristics for long-span arch bridge excited by traveling wave was investigated in this paper,from which the influence trends of the seismic shearwave velocity and field conditions on long-span arch bridge were revealed.It is showed that the effect of traveling wave and filed conditions of seismic site have a great contribution to the seismic response of long-span arch bridge.With the seismic shearwave velocity decreasing,the internal forces of the main arch show an increasing trend.Compared with the synchronous seismic excitation,the bending moment of arch springing increases by 84% under the shearwave velocity of 50 m·s-1,and with the stiffness of field increasing,the internal forces of the main arch become smaller.Under the synchronous seismic excitation,the bending moment of arch springing in soft soil and medium soil increases by 94% and 22% respectively more than that in firm soil field.
引文
[1]WANG Jun-jie,WANG Qian-xin,JIANG Jin-ren.Random response of long-span arch bridge under spatially variable seismicexcitations[J].Journal of Vibration Engineering,1995,8(2):120-126.(in Chinese)
[2]DUMANOGLU A,SOYLUKK.A stochastic analysis of long span structures subjected to spatially varying ground motions in-cluding the site-response effect[J].Engineering Structures,2003,25:1301-1310.
[3]SOYLUK K.Comparison of random vibration methods for multi-support seismic excitation analysis of long-span bridges[J].Engineering Structures,2004,26:1573-1583.
[4]LU Z H,GE H,USAMI T.Applicability of pushover analysis-based seismic performance evaluation procedure for steel archbridges[J].Engineering Structures,2004,26:1957-1977.
[5]HU Wei-an.Research on seismic behavior of frame tied concrete-filled steel tubular arch bridge and the analysis methods[D].Nangjing:Southeast University,2006.(in Chinese)
[6]LIU Ai-rong,ZHANG Jun-ping,YU Qi-cai,et al.Spatial seismic response analysis of long-span combined bridge of continu-ous rigid-frame and arch structure under multiple support excitation[J].Journal of Jinan University:Natural Science Edi-tion,2007,28(3):246-250.(in Chinese)
[7]LIU Ai-rong,ZHANG Jun-ping,YU Qi-cai.Study of seismic response of long span continuous rigid-frame arch bridge[J].Journal of Shenzhen University:Natural Science,2007,24(4):228-233.
[8]ZHAO Can-hui,ZHOU Zhi-xiang,Stationary stochastic response of long-span CSFT arch bridge under the multi-componentand multi-support seismic excitation[J].World Earthquake Engineering,2007,23(4):66-71.(in Chinese)
[9]SHI Zhi-li,LI Zhong-xian.Methods of seismic response analysis for long-span bridges under multi-support excitations of ran-dom earthquake ground motion[J].Earthquake Engineering and Engineering Vibration,2003,23(4):124-130.(in Chi-nese)
[10]RUIZ P,PENZIEN J.Probabilistic study of the behavior of structures during earthquakes[R]∥Report No.EERC 69-03.California:Earthquake Engineering Center University of California,1969.
[11]DING Yang,LIN Wei,LI Zhong-xian.Non-stationary random seismic analysis of long-span spatial structures under multi-support and multi-dimensional earthquake excitations[J].Engineering Mechanics,2007,24(3):6-14.(in Chinese)
[1]王君杰,王前信,江近仁.大跨拱桥在空间变化地震动下的响应[J].振动工程学报,1995,8(2):120-126.
[5]胡伟岸.钢管混凝土下承式刚架系杆拱桥抗震性能和分析方法研究[D].南京:东南大学,2006.
[6]刘爱荣,张俊平,禹奇才,等.多点激励下大跨度连续刚架拱组合桥的空间地震响应分析[J].暨南大学学报:自然科学版,2007,28(3):246-250.
[8]赵灿晖,周志祥.大跨度钢管混凝土拱桥在多维多点地震激励作用下的平稳随机响应[J].世界地震工程,2007,23(4):66-71.
[9]史志利,李忠献.随机地震动场多点激励下大跨度桥梁地震反应分析方法[J].地震工程与工程振动,2003,23(4):124-130.
[11]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):6-14.
[2]DUMANOGLU A,SOYLUKK.A stochastic analysis of long span structures subjected to spatially varying ground motions in-cluding the site-response effect[J].Engineering Structures,2003,25:1301-1310.
[3]SOYLUK K.Comparison of random vibration methods for multi-support seismic excitation analysis of long-span bridges[J].Engineering Structures,2004,26:1573-1583.
[4]LU Z H,GE H,USAMI T.Applicability of pushover analysis-based seismic performance evaluation procedure for steel archbridges[J].Engineering Structures,2004,26:1957-1977.
[5]HU Wei-an.Research on seismic behavior of frame tied concrete-filled steel tubular arch bridge and the analysis methods[D].Nangjing:Southeast University,2006.(in Chinese)
[6]LIU Ai-rong,ZHANG Jun-ping,YU Qi-cai,et al.Spatial seismic response analysis of long-span combined bridge of continu-ous rigid-frame and arch structure under multiple support excitation[J].Journal of Jinan University:Natural Science Edi-tion,2007,28(3):246-250.(in Chinese)
[7]LIU Ai-rong,ZHANG Jun-ping,YU Qi-cai.Study of seismic response of long span continuous rigid-frame arch bridge[J].Journal of Shenzhen University:Natural Science,2007,24(4):228-233.
[8]ZHAO Can-hui,ZHOU Zhi-xiang,Stationary stochastic response of long-span CSFT arch bridge under the multi-componentand multi-support seismic excitation[J].World Earthquake Engineering,2007,23(4):66-71.(in Chinese)
[9]SHI Zhi-li,LI Zhong-xian.Methods of seismic response analysis for long-span bridges under multi-support excitations of ran-dom earthquake ground motion[J].Earthquake Engineering and Engineering Vibration,2003,23(4):124-130.(in Chi-nese)
[10]RUIZ P,PENZIEN J.Probabilistic study of the behavior of structures during earthquakes[R]∥Report No.EERC 69-03.California:Earthquake Engineering Center University of California,1969.
[11]DING Yang,LIN Wei,LI Zhong-xian.Non-stationary random seismic analysis of long-span spatial structures under multi-support and multi-dimensional earthquake excitations[J].Engineering Mechanics,2007,24(3):6-14.(in Chinese)
[1]王君杰,王前信,江近仁.大跨拱桥在空间变化地震动下的响应[J].振动工程学报,1995,8(2):120-126.
[5]胡伟岸.钢管混凝土下承式刚架系杆拱桥抗震性能和分析方法研究[D].南京:东南大学,2006.
[6]刘爱荣,张俊平,禹奇才,等.多点激励下大跨度连续刚架拱组合桥的空间地震响应分析[J].暨南大学学报:自然科学版,2007,28(3):246-250.
[8]赵灿晖,周志祥.大跨度钢管混凝土拱桥在多维多点地震激励作用下的平稳随机响应[J].世界地震工程,2007,23(4):66-71.
[9]史志利,李忠献.随机地震动场多点激励下大跨度桥梁地震反应分析方法[J].地震工程与工程振动,2003,23(4):124-130.
[11]丁阳,林伟,李忠献.大跨度空间结构多维多点非平稳随机地震反应分析[J].工程力学,2007,24(3):6-14.
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