非一致地震动激励下结构拟静力/动力分量的分离及其应用示例
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摘要
基于改进的大质量法和位移法,分别求解非一致地震动激励下结构总反应和拟静力分量,用总反应减去拟静力分量得到动力分量,实现拟静力/动力分量的分离。结果表明,该方法简便实用,计算精度高,与理论结果符合好。以一座连续刚构桥为例,分析了非一致地震动激励下,结构地震反应拟静力/动力分量的基本特征和影响因素。结果表明,各支撑间的地震动位移差动对拟静力分量影响巨大,不容忽视;拟静力分量/动力分量相互叠加或消减,致使结构反应在多点激励作用下表现复杂。
With improved large mass method and displacement method respectively,the total response and quasi-static components of the internal forces in structures under seismic excitations are obtained directly,and then the dynamic components can be separated by subtracting quasi-static components from total components.This technique for quasi-static/dynamic components presented in the paper can yield results that are identical to those of theoretical method.Based on this technique,the dynamic response analysis of a bridge subjected to non-uniform seismic excitations has been carried out,and the quasi-static/dynamic components of internal forces are separated.It reveals that the quasi-static components depend on the relative displacements between the pier foundations.The seismic responses of structure members can be magnified or decreased irregularly by the resonance or counteraction of the quasi-static components and dynamic components.
With improved large mass method and displacement method respectively,the total response and quasi-static components of the internal forces in structures under seismic excitations are obtained directly,and then the dynamic components can be separated by subtracting quasi-static components from total components.This technique for quasi-static/dynamic components presented in the paper can yield results that are identical to those of theoretical method.Based on this technique,the dynamic response analysis of a bridge subjected to non-uniform seismic excitations has been carried out,and the quasi-static/dynamic components of internal forces are separated.It reveals that the quasi-static components depend on the relative displacements between the pier foundations.The seismic responses of structure members can be magnified or decreased irregularly by the resonance or counteraction of the quasi-static components and dynamic components.
引文
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[11]周国良.河谷地形对多支撑大跨桥梁地震反应影响[D].哈尔滨:中国地震局工程力学研究所,2010.Zhou Guoliang.Canyon topography effects on seismicresponse of multi-supported bridges[D].Harbin:Institute of Engineering Mechanics,China EarthquakeAdministration,2010.(in Chinese)
[12]Zhou Guoliang,Li Xiaojun,Qi Xingjun.Seismicresponse analysis of continuous rigid frame bridgeconsidering canyon topography effects under incident SVwaves[J].Earthquake Science,2010,23(1):53―61.
[2]Kiureghianad,Neuenhoffera.Response spectrum methodfor multi-support seismic excitations[J].EarthquakeEngineering and Structural Dynamics,1992,21(8):713―740.
[3]Aspasia Zerva,Vassilios Zervas.Spatial variation ofseismic ground motions:An overview[J].Appl MechRev,2002,55(3):271―297.
[4]周国良,李小军.SH波入射下河谷地形对连续刚构桥地震反应影响[J].土木工程学报,2010,43(增刊2):41―47.Zhou Guoliang,Li Xiaojun.Canyon topography effectson seismic response of continuous rigid frame bridgeunder SH incident waves[J].China Civil EngineeringJournal,2010,43(Suppl 2):41―47.(in Chinese)
[5]Lin Jiahao,Zhang Yahui,Zhao Yan.Seismic spatialeffects on long-span bridge response in nonstationaryinhomogeneous random fields[J].EarthquakeEngineering and Engineering Vibration,2005,4(1):75―82.
[6]李忠献,林伟,丁阳.行波效应对大跨度空间网格结构地震响应的影响[J].天津大学学报,2007,40(1):1―8.Li Zhongxian,Lin Wei,Ding Yang.Influence of wavepassage effect on seismic responses of long-span spatiallattice structures[J].Journal of Tianjin University,2007,40(1):1―8.(in Chinese)
[7]周国良,李小军,刘必灯,等.大质量法在多点激励分析中的应用、误差分析及改进[J].工程力学,2011,28(1):48―54.Zhou Guoliang,Li Xiaojun,Liu Bideng,et al.Erroranalysis and improvements of large mass method used inmulti-support seismic excitation analysis[J].EngineeringMechanics,2011,28(1):48―54.(in Chinese)
[8]周国良,李小军,喻畑,等.结构地震作用的基底激励模型及其适用性[J].建筑结构学报,2010,31(增刊2):82―88.Zhou Guoliang,Li Xiaojun,Yu Tian.Applicabilityresearch on base excitation models used in structuralseismic response analysis[J].Journal of BuildingStructures,2010,31(Suppl 2):82―88.(in Chinese)
[9]周国良,李小军,刘必灯,等.大刚度法在结构地震反应分析中的应用误差分析及改进[J].工程力学,2011,28(8):30―36.Zhou Guoliang,Li Xiaojun,Liu Bideng,et al.ErrorAnalysis and improvements of large spring/stiffnessmethod for structural dynamic response analysis[J].Engineering Mechanics,2011,28(8):30―36.(inChinese)
[10]Clough Rw,Ponzien J.Dynamics of structures[M].2nded.New York:Computers and Structures,Inc,2004.
[11]周国良.河谷地形对多支撑大跨桥梁地震反应影响[D].哈尔滨:中国地震局工程力学研究所,2010.Zhou Guoliang.Canyon topography effects on seismicresponse of multi-supported bridges[D].Harbin:Institute of Engineering Mechanics,China EarthquakeAdministration,2010.(in Chinese)
[12]Zhou Guoliang,Li Xiaojun,Qi Xingjun.Seismicresponse analysis of continuous rigid frame bridgeconsidering canyon topography effects under incident SVwaves[J].Earthquake Science,2010,23(1):53―61.
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