考虑双向地震动作用的非对称结构多维Pushover分析
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摘要
目前的Pushover分析多集中于平面单向分析,考虑到非对称结构反应的多维性,在单向地震动作用振型Pushover分析研究基础上,提出了考虑双向地震动作用的结构多维Pushover分析程序。采用弹性振型分解的思路,将非线性结构反应近似为结构多振型弹塑性反应的叠加,进而将结构按振型等效为多个等效方程,将每一等效方程转化为以双向实际地震记录的组合为地震输入的等效单自由度体系。在此基础上给出了考虑双向地震作用的非对称结构多维Pushover分析程序,并阐述了该方法与传统Pushover分析方法的区别,最后通过算例将该方法结果与非线性时程分析结果进行比较,证明了该方法具有一定的准确性。
The classic Pushover analysis procedure depends on the 2-D structural analysis which is inapplicable for asymmetric structures.So,a multiple Pushover analysis method to estimate seismic demands for asymmetric plan structures subjected to bi-directional ground motions is presented.The displacement response of asymmetric plan structures is supposed to equate to the combined responses of modal equivalent systems.The multiple Pushover analysis procedure is proposed,and an example for comparing structural response results of multiple Pushover analysis with the results of nonlinear dynamic time history analysis shows that the multiple Pushover analysis procedure for bi-directional ground motions may be used as an effective seismic demands estimation method for asymmetric plan structures.
The classic Pushover analysis procedure depends on the 2-D structural analysis which is inapplicable for asymmetric structures.So,a multiple Pushover analysis method to estimate seismic demands for asymmetric plan structures subjected to bi-directional ground motions is presented.The displacement response of asymmetric plan structures is supposed to equate to the combined responses of modal equivalent systems.The multiple Pushover analysis procedure is proposed,and an example for comparing structural response results of multiple Pushover analysis with the results of nonlinear dynamic time history analysis shows that the multiple Pushover analysis procedure for bi-directional ground motions may be used as an effective seismic demands estimation method for asymmetric plan structures.
引文
[1]ATC-40.Seismic Evaluation and Retrofit of ConcreteBuildings[R].Applied Technology Council.RedWood City,California,1996.
[2]FEMA274.NEHRP Guidelines for the Rehabilitationof Buildings[R].Federal Emergency Management A-gency,Washington D.C.,September,1996.
[3]Kilar V,Fajfar P.Simple Pushover analysis of asym-metric buildings[J].Earthquake Engineering andStructural Dynamics,1997,26:233-249.
[4]Moghadam A S,Tso W K.Damage Assessment ofEccentric Multistory Building Using 3-D Pushover A-nalysis[A].The 11thWorld Conference of Earth-quake Engineering[C],1996.
[5]Chen P,Collins K R.Some observations on perform-ance-based and reliability-based seismic design ofasymmetric building stuctures[J].Engineering Strc-tures,2001,23:1005-1010.
[6]李刚,刘永.三维偏心结构的Pushover分析[J].计算力学学报,2005,22(5):529-533.(LI Gang,LIUYong.Pushover analysis of 3D eccentric structures[J].Chinese Journal of Computational Mechanics,2005,22(5):529-533.
[7]刘畅,邹银生,陈敏.偏心结构考虑扭转的三维Pushover分析[J].建筑科学与工程学报,2005,22(2):47-50.(LIU Chang,ZOU Yin-sheng,CHENMin.3-D Pushover analysis of asymmetric structurewith torsional effect[J].Journal of Architecture andCivil Engineering,2005,22(2):47-50.
[8]Chopra A K,Goel R K.A modal Pushover analysisprocedure for estimating seismic demands for build-ings[J].Earthquake Engineering and Structural Dy-namics,2002,31:561-582.
[9]Chopra A K,Goel R K.A modal Pushover analysisprocedure to estimate seismic demands for unsymmet-ric-plan buildings[J].Earthquake Engineering andStructural Dynamics,2004,33:903-927.
[10]肖明葵,马占杰.结构抗震性能评估的改进模态能力谱法[J].重庆大学学报,2007,(2):115-119.(XIAOMing-kui,MA Zhan-jie.Improved modal capacityspectrum method for estimating seismic performanceof structures[J].Journal of Chongqing University,2007,(2):115-119.
[2]FEMA274.NEHRP Guidelines for the Rehabilitationof Buildings[R].Federal Emergency Management A-gency,Washington D.C.,September,1996.
[3]Kilar V,Fajfar P.Simple Pushover analysis of asym-metric buildings[J].Earthquake Engineering andStructural Dynamics,1997,26:233-249.
[4]Moghadam A S,Tso W K.Damage Assessment ofEccentric Multistory Building Using 3-D Pushover A-nalysis[A].The 11thWorld Conference of Earth-quake Engineering[C],1996.
[5]Chen P,Collins K R.Some observations on perform-ance-based and reliability-based seismic design ofasymmetric building stuctures[J].Engineering Strc-tures,2001,23:1005-1010.
[6]李刚,刘永.三维偏心结构的Pushover分析[J].计算力学学报,2005,22(5):529-533.(LI Gang,LIUYong.Pushover analysis of 3D eccentric structures[J].Chinese Journal of Computational Mechanics,2005,22(5):529-533.
[7]刘畅,邹银生,陈敏.偏心结构考虑扭转的三维Pushover分析[J].建筑科学与工程学报,2005,22(2):47-50.(LIU Chang,ZOU Yin-sheng,CHENMin.3-D Pushover analysis of asymmetric structurewith torsional effect[J].Journal of Architecture andCivil Engineering,2005,22(2):47-50.
[8]Chopra A K,Goel R K.A modal Pushover analysisprocedure for estimating seismic demands for build-ings[J].Earthquake Engineering and Structural Dy-namics,2002,31:561-582.
[9]Chopra A K,Goel R K.A modal Pushover analysisprocedure to estimate seismic demands for unsymmet-ric-plan buildings[J].Earthquake Engineering andStructural Dynamics,2004,33:903-927.
[10]肖明葵,马占杰.结构抗震性能评估的改进模态能力谱法[J].重庆大学学报,2007,(2):115-119.(XIAOMing-kui,MA Zhan-jie.Improved modal capacityspectrum method for estimating seismic performanceof structures[J].Journal of Chongqing University,2007,(2):115-119.
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