方形截面深水桥墩的地震响应分析方法研究
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摘要
为验证地震响应分析方法对方形截面深水桥墩的适用性,以边长为2m、高度为60m的正方形截面桥墩为例,分别采用解析法、数值法、结合法分析其在不同水深情况下的墩顶位移和墩底应力,并在此基础上对比方形截面和圆形截面桥墩地震响应的特点。结果表明:采用解析法按刚体运动计算方形截面桥墩的地震响应时,一定程度上夸大了动水压力的影响;采用数值法按弹性振动计算方形截面桥墩的地震响应时,水深增加的作用效果恰好与按刚体运动计算时相反,减小了桥墩的地震响应;采用结合法同时考虑地震作用下桥墩的刚体位移和弹性振动时,计算方形截面桥墩的地震响应更合理;方形截面桥墩与圆形截面桥墩的地震响应随水深的变化趋势类似。
To check up the applicability of the different seismic response analysis methods to the square section deepwater bridge piers,a bridge pier of the same kind with side length of 2m and height of 60 m was taken as an example,the displacement at the top and the stresses in the footing of the pier under the different water depth were analyzed,respectively using the analytical method,numerical method and the combination method and on the basis of the analysis,the seismic response characteristics of the square and circular section bridge piers were compared.The results of the analysis suggest that when the seismic response of the square section bridge pier is calculated according to the rigid motion,using the analytical method,the calculation exaggerates the influence of the hydrodynamic pressure to some extent.When the seismic response is calculated according to the elastic vibration,using the numerical method,the effect of the increased water depth action is just on the contrary to that in the calculation according to the rigid motion and the seismic response is substantially reduced.When the seismic response is calculated,using the combination method and at the same time,the rigid displacement and elastic vibration of the pier under the seismic action are considered,the calculation of the seismic response is more reasonable.The tendencies of the seismic responses of the square and circular section bridge piers changing with the water depth are similar.
To check up the applicability of the different seismic response analysis methods to the square section deepwater bridge piers,a bridge pier of the same kind with side length of 2m and height of 60 m was taken as an example,the displacement at the top and the stresses in the footing of the pier under the different water depth were analyzed,respectively using the analytical method,numerical method and the combination method and on the basis of the analysis,the seismic response characteristics of the square and circular section bridge piers were compared.The results of the analysis suggest that when the seismic response of the square section bridge pier is calculated according to the rigid motion,using the analytical method,the calculation exaggerates the influence of the hydrodynamic pressure to some extent.When the seismic response is calculated according to the elastic vibration,using the numerical method,the effect of the increased water depth action is just on the contrary to that in the calculation according to the rigid motion and the seismic response is substantially reduced.When the seismic response is calculated,using the combination method and at the same time,the rigid displacement and elastic vibration of the pier under the seismic action are considered,the calculation of the seismic response is more reasonable.The tendencies of the seismic responses of the square and circular section bridge piers changing with the water depth are similar.
引文
[1]Yang Wanli,Li Qiao.A New Added Mass Method for Fluid-Structure Interaction Analysis of Deep-Water Bridge[J].KSCE Journal of Civil Engineering,2013,17(6):1 413-1 424.
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[8]李忠献,黄信.地震与波浪联合作用下深水桥梁的动力响应[J].土木工程学报,2012,45(11):134-140.(LI Zhong-xian,HUANG Xin.Dynamic Response of Bridge over Deep Water Under Combined Earthquake and Wave Action[J].China Civil Engineering Journal,2012,45(11):134-140.in Chinese)
[9]黄雯,冯谊武,张海龙.波浪作用下的群桩受力及优化布置[J].桥梁建设,2016,46(3):51-56.(HUANG Wen,FENG Yi-wu,ZHANG Hai-long.Mechanical Properties and Optimal Arrangement of Group Piles Acted by Wave Force[J].Bridge Construction,2016,46(3):51-56.in Chinese)
[10]Chopra A K,Goyal A.Simplified Earthquake Analysis of Intake-Outlet Towers[J].Journal of Structural Engineering,1991,117(3):767-785.
[11]刘浪,杨万理,李乔.深水桥梁墩水耦合抗震分析方法研究[J].西南交通大学学报,2015,50(3):449-453.(LIU Lang,YANG Wan-li,LI Qiao.Seismic Analysis Method of Deepwater Bridge Pier and Water Coupling[J].Journal of Southwest Jiaotong University,2015,50(3):449-453.in Chinese)
[2]赖伟.地震和波浪作用下深水桥梁的动力响应研究(博士学位论文)[D].上海:同济大学,2004.(LAI Wei.Study of Dynamic Responses of Bridges over Deep Water Under Combined Earthquake and Wave Action(Doctorate Dissertation)[D].Shanghai:Tongji University,2004.in Chinese)
[3]居荣初,曾心传.弹性结构与液体的耦联振动理论[M].北京:地震出版社,1983.(JU Rong-chu,ZENG Xin-chuan.Coupling Vibration Theory of Elastic Structures and Fluid[M].Beijing:Seismological Press,1983.in Chinese)
[4]刘振宇,李乔,赵灿晖,等.深水矩形空心桥墩在地震作用下附加动水压力分析[J].振动与冲击,2008,27(2):53-56.(LIU Zhen-yu,LI Qiao,ZHAO Can-hui,et al.Additional Hydrodynamic Pressure on Rectangular Hollow Piers in Deep Water Under Action of Earthquake[J].Journal of Vibration and Shock,2008,27(2):53-56.in Chinese)
[5]黄信.地震激励下水-桥墩动力相互作用分析(硕士学位论文)[D].天津:天津大学,2008.(HUANG Xin.Analysis of Water-Pier Dynamic Interaction Under Earthquake Excitation(Master Dissertation)[D].Tianjin:Tianjin University,2008.in Chinese)
[6]刘逸敏,李方锋,张效忠.深水桥梁双承台组合基础波浪力的参数影响性研究[J].桥梁建设,2014,44(1):37-43.(LIU Yi-min,LI Fang-feng,ZHANG Xiao-zhong.Study of Structural Parametric Influences on Wave Forces of Combined Foundation of Twin Pile Caps of Deepwater Bridge[J].Bridge Construction,2014,44(1):37-43.in Chinese)
[7]杨万理,李乔.深水桥梁墩-水耦合作用计算模式对比研究[J].世界桥梁,2012,40(2):46-50.(YANG Wan-li,LI Qiao.Comparative Study of PierWater Interaction Calculation Modes of Bridge over Deep Water[J].World Bridges,2012,40(2):46-50.in Chinese)
[8]李忠献,黄信.地震与波浪联合作用下深水桥梁的动力响应[J].土木工程学报,2012,45(11):134-140.(LI Zhong-xian,HUANG Xin.Dynamic Response of Bridge over Deep Water Under Combined Earthquake and Wave Action[J].China Civil Engineering Journal,2012,45(11):134-140.in Chinese)
[9]黄雯,冯谊武,张海龙.波浪作用下的群桩受力及优化布置[J].桥梁建设,2016,46(3):51-56.(HUANG Wen,FENG Yi-wu,ZHANG Hai-long.Mechanical Properties and Optimal Arrangement of Group Piles Acted by Wave Force[J].Bridge Construction,2016,46(3):51-56.in Chinese)
[10]Chopra A K,Goyal A.Simplified Earthquake Analysis of Intake-Outlet Towers[J].Journal of Structural Engineering,1991,117(3):767-785.
[11]刘浪,杨万理,李乔.深水桥梁墩水耦合抗震分析方法研究[J].西南交通大学学报,2015,50(3):449-453.(LIU Lang,YANG Wan-li,LI Qiao.Seismic Analysis Method of Deepwater Bridge Pier and Water Coupling[J].Journal of Southwest Jiaotong University,2015,50(3):449-453.in Chinese)