弹塑性Winkler地基上双柱式桥墩的地震反应
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摘要
浅平基桥墩在承受强震作用时,其基础与地基之间会发生提离,地基土会进入塑性状态。要精确模拟上述两个问题是非常复杂的。分析中地基采用了能考虑基础提离及地基塑性的弹塑性Winkler地基模型,钢筋混凝土墩柱采用了武田三线型滞回模型。采用1940ElCentro地震记录作为输入,对双柱式浅平基桥墩进行了非线性时程分析。研究结果表明,基础提离和地基塑性对双柱式桥墩的地震反应具有重要影响。与线性分析相比,考虑基础提离和地基塑性后,双柱式桥墩的位移增大,内力减小。在设计中允许地基发生提离和屈服对于保护桥墩是有利的。
For bridge piers with shallow foundation subject to intense earthquake excitations, the uplift of foundations occurs and the foundation soils enter into plasticity. It is rather difficult to simulate the uplift and yield of supporting soils accurately. An improved Winkler foundation model taking into account the uplift and yield of foundation is employed in the analysis. A tri-linear hysteretic model is employed in the analysis of reinforced concrete bridge piers. The El Centro earthquake record in 1940 is inputted to a double-column bridge pier with shallow foundation so that the nonlinear history response is obtained. It is concluded that the uplift and yield of supporting soil have important effect on the seismic response of double-column bridge piers. Compared with that of linear analysis, the displacement of the double-column piers increases and the internal force decreases. It is shown that the consideration of uplift and yield of foundation in design is significant in protection of bridge piers.
For bridge piers with shallow foundation subject to intense earthquake excitations, the uplift of foundations occurs and the foundation soils enter into plasticity. It is rather difficult to simulate the uplift and yield of supporting soils accurately. An improved Winkler foundation model taking into account the uplift and yield of foundation is employed in the analysis. A tri-linear hysteretic model is employed in the analysis of reinforced concrete bridge piers. The El Centro earthquake record in 1940 is inputted to a double-column bridge pier with shallow foundation so that the nonlinear history response is obtained. It is concluded that the uplift and yield of supporting soil have important effect on the seismic response of double-column bridge piers. Compared with that of linear analysis, the displacement of the double-column piers increases and the internal force decreases. It is shown that the consideration of uplift and yield of foundation in design is significant in protection of bridge piers.
引文
[1]Psycharis I N,Jennings P C.Rocking of slender rigid bodies allowed to uplift[J].Earthquake Engineering and Structural Dynamics,1983,(11):57-76.
[2]Yim C-S,Chopra A K.Earthquake response of structures with partial uplift on Winkler foundation[J].Earthquake Engineering and Structural Dynamics,1984,(12):263-281.
[3]Chopra A K,Yim C-S.Simplified earthquake analysis of structures with foundation uplift[J].Journal of Structural Engineering,ASCE,1985,(111):906-930.
[4]Wolf J P,Skrikerud P E.Seismic excitation with large overturning moments:Tensile capacity,projecting base mat or lifting-off[J].Nuclear Engineering and Design,1978,(50):305-321.
[5]Izumi M.Rocking vibration considering uplift and yielding of supporting soil[C].Proc.4th Japanese Earthquake Engineering Symposium,1975.727-734.
[6]王荣昌,俞载道,应稼年.地基土与多层剪切型结构的非线性动力分析[J].同济大学学报,1988,16(1):45-53.Wang Rong Chang,Yu Zaidao,Ying Jianian.Nonlinear dynamic analysis of foundation soil and multi-story shear structures[J].Journal of Tongji University,1988,16(1):45-53.(in Chinese)
[7]陈兴冲,朱唏.弹塑性Winkler地基模型及其应用[J].《工程力学》增刊,1997.355-359.Chen Xingchong,Zhu Xi.An elasto-plastic Winkler foundation model and its application[J].EngineeringMechanics(Supplement),1997.355-359.(in Chinese)
[8]陈兴冲,朱唏.弹塑性Winkler地基上刚性浅平基桥墩水平力-位移关系的滞回特性分析[J].《工程力学》增刊,1997.360-364.Chen Xingchong,Zhu Xi.Hysteretic property analysis of horizontal load-displacement relationship of rigid bridge piers with shallow foundation on elasto-plastic Winkler foundation[J].Engineering Mechanics(Supplement),1997.360-364.(in Chinese)
[9]陈兴冲,朱唏.允许提离的弹塑性Winkler地基上桥墩的地震反应[J].工程力学,1999,16(5):101-107.Chen Xingchong,Zhu Xi.Seismic response of bridge piers on elasto-plastic Winkler foundation allowed to uplift[J].Engineering Mechanics,1999,16(5):101-107.(in Chinese)
[10]陈兴冲.重力式桥墩-地基的线性及非线性动力性态研究[D].北京:北方交通大学,1996.Chen Xingchong.Linear and Nonlinear dynamic behavior of gravity bridge pier-foundation systems[D].Beijing:Northern Jiaotong University,1996.(in Chinese)
[11]Siddharthan R,Ara A,Norris G M.Simple rigid plastic model for seismic tilting of rigid walls[J].Journal of Structural Engineering,ASCE,1989,(118):469-487.
[12]范立础,卓卫东.桥梁延性抗震设计[M].北京:人民交通出版社,2001.Fan Lichu,Zhou Weidong.Ductility in aseismatic design of bridges[M].Beijing:China Communications Press,2001.(in Chinese)
[2]Yim C-S,Chopra A K.Earthquake response of structures with partial uplift on Winkler foundation[J].Earthquake Engineering and Structural Dynamics,1984,(12):263-281.
[3]Chopra A K,Yim C-S.Simplified earthquake analysis of structures with foundation uplift[J].Journal of Structural Engineering,ASCE,1985,(111):906-930.
[4]Wolf J P,Skrikerud P E.Seismic excitation with large overturning moments:Tensile capacity,projecting base mat or lifting-off[J].Nuclear Engineering and Design,1978,(50):305-321.
[5]Izumi M.Rocking vibration considering uplift and yielding of supporting soil[C].Proc.4th Japanese Earthquake Engineering Symposium,1975.727-734.
[6]王荣昌,俞载道,应稼年.地基土与多层剪切型结构的非线性动力分析[J].同济大学学报,1988,16(1):45-53.Wang Rong Chang,Yu Zaidao,Ying Jianian.Nonlinear dynamic analysis of foundation soil and multi-story shear structures[J].Journal of Tongji University,1988,16(1):45-53.(in Chinese)
[7]陈兴冲,朱唏.弹塑性Winkler地基模型及其应用[J].《工程力学》增刊,1997.355-359.Chen Xingchong,Zhu Xi.An elasto-plastic Winkler foundation model and its application[J].EngineeringMechanics(Supplement),1997.355-359.(in Chinese)
[8]陈兴冲,朱唏.弹塑性Winkler地基上刚性浅平基桥墩水平力-位移关系的滞回特性分析[J].《工程力学》增刊,1997.360-364.Chen Xingchong,Zhu Xi.Hysteretic property analysis of horizontal load-displacement relationship of rigid bridge piers with shallow foundation on elasto-plastic Winkler foundation[J].Engineering Mechanics(Supplement),1997.360-364.(in Chinese)
[9]陈兴冲,朱唏.允许提离的弹塑性Winkler地基上桥墩的地震反应[J].工程力学,1999,16(5):101-107.Chen Xingchong,Zhu Xi.Seismic response of bridge piers on elasto-plastic Winkler foundation allowed to uplift[J].Engineering Mechanics,1999,16(5):101-107.(in Chinese)
[10]陈兴冲.重力式桥墩-地基的线性及非线性动力性态研究[D].北京:北方交通大学,1996.Chen Xingchong.Linear and Nonlinear dynamic behavior of gravity bridge pier-foundation systems[D].Beijing:Northern Jiaotong University,1996.(in Chinese)
[11]Siddharthan R,Ara A,Norris G M.Simple rigid plastic model for seismic tilting of rigid walls[J].Journal of Structural Engineering,ASCE,1989,(118):469-487.
[12]范立础,卓卫东.桥梁延性抗震设计[M].北京:人民交通出版社,2001.Fan Lichu,Zhou Weidong.Ductility in aseismatic design of bridges[M].Beijing:China Communications Press,2001.(in Chinese)
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