基于结构强震记录框剪结构自振周期经验公式
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摘要
为改善钢筋混凝土框架剪力墙结构抗震设计,完善框剪结构自振周期计算经验公式。选择美国获得结构强震记录的40座框剪结构建筑物,采用可适性在线系统辨识算法分析建筑物在地震作用下是否发生非线性时变反应,并利用含外部参量的自回归模型ARX系统辨识算法,识别所有结构处于完好状态时的自振周期,对自振周期进行非线性最小二乘回归统计分析,得到一个基于结构强震记录的框剪结构自振周期经验公式,并利用两个框剪结构实例对公式有效性、可靠性以及计算精度进行验证。结果表明:所得自振周期经验公式计算结果比我国现行建筑结构荷载规范经验公式计算结果要大,并且随着结构高度增加,差别增大。所得经验公式可供规范修订、框剪结构抗震设计或研究参考使用。
To improve the seismic design of reinforced concrete frame-shear wall structures,the empirical formula for estimation of the fundamental periods were investigated,and a new formula was presented.A total of 40 reinforced concrete frame-shear wall buildings were selected for the statistical analysis,and all the buildings maintained strong motion records during past earthquakes.The on-line adaptive system identification method was employed to detect if the structural response was nonlinear and time-varying,then the fundamental periods of all the buildings were identified by using the ARX system identification model.The empirical formula for fundamental periods of frame-shear wall buildings was obtained through nonlinear least square regression.The availability,reliability and accuracy of the formula were verified by using two examples.The study shows that the fundamental period from the proposed formula is larger than that from the formula of present load code for the design of building structures of China,and the difference increases with the increase of structure height.The proposed empirical formula can serve as a reference for revision of the seismic design code,frame-shear wall building seismic design and related studies.
To improve the seismic design of reinforced concrete frame-shear wall structures,the empirical formula for estimation of the fundamental periods were investigated,and a new formula was presented.A total of 40 reinforced concrete frame-shear wall buildings were selected for the statistical analysis,and all the buildings maintained strong motion records during past earthquakes.The on-line adaptive system identification method was employed to detect if the structural response was nonlinear and time-varying,then the fundamental periods of all the buildings were identified by using the ARX system identification model.The empirical formula for fundamental periods of frame-shear wall buildings was obtained through nonlinear least square regression.The availability,reliability and accuracy of the formula were verified by using two examples.The study shows that the fundamental period from the proposed formula is larger than that from the formula of present load code for the design of building structures of China,and the difference increases with the increase of structure height.The proposed empirical formula can serve as a reference for revision of the seismic design code,frame-shear wall building seismic design and related studies.
引文
[1]GB 50009—2001建筑结构荷载规范[S].北京:中国建筑工业出版社,2002(GB 50009—2001 Load code for thedesign of building structures[S].Beijing:ChinaArchitecture&Building Press,2002(in Chinese))
[2]Goel R K,Chopra A K.Evaluation of code formulas forfundamental period of buildings[C]//Proceedings of 11WCEE.Oxford,UK:Elsevier Science Ltd.,1996
[3]Goel R K,Chopra A K.Period formulas for moment-resisting frame buildings[J].Journal of StructuralEngineering,1997,123(11):1454-1461
[4]Goel R K,Chopra A K.Period formulas for concrete shearwall buildings[J].Journal of Structural Engineering,1998,124(4):426-433
[5]Chopra A K,Goel R K.Building period formula forestimating seismic displacements[J].EarthquakeSpectra,2000,16(2):533-536
[6]Lee L H,Chang K K,Chun Y S.Experimental formula forthe fundamental period of RC buildings with shear-walldominant systems[J].The Structural Design of TallBuildings,2000,9(4):295-307
[7]Balkaya C,Kalkan E.Estimation of fundamental periods ofshear-wall dominant building structures[J].EarthquakeEngineering and Structural Dynamics,2003,32(7):985-998
[8]Ghrib F,Mamedov H.Period formulas of shear wall buildingswith flexible bases[J].Earthquake Engineering and StructuralDynamics,2004,33(3):295-314
[9]Ljung L.System identification-theory for the user[M].2nd Edition.New Jersey:PTR Prentice Hall,1999
[10]Andersson P.Adaptive forgetting in recursive identificationthrough multiple models[J].International Journal ofControl,1985,42(11):1175-1193
[11]公茂盛.基于强震记录的结构模态参数识别与应用研究[D].哈尔滨:中国地震局工程力学研究所,2006
[12]Loh C H,Lin H M.Application of off-line and on-lineidentification techniques to building seismic response data[J].Earthquake Engineering and Structural Dynamics,1996,25(3):269-290
[13]吕西林,周德源,李思明,等.建筑结构抗震设计理论与实例[M].上海:同济大学出版社,2002
[2]Goel R K,Chopra A K.Evaluation of code formulas forfundamental period of buildings[C]//Proceedings of 11WCEE.Oxford,UK:Elsevier Science Ltd.,1996
[3]Goel R K,Chopra A K.Period formulas for moment-resisting frame buildings[J].Journal of StructuralEngineering,1997,123(11):1454-1461
[4]Goel R K,Chopra A K.Period formulas for concrete shearwall buildings[J].Journal of Structural Engineering,1998,124(4):426-433
[5]Chopra A K,Goel R K.Building period formula forestimating seismic displacements[J].EarthquakeSpectra,2000,16(2):533-536
[6]Lee L H,Chang K K,Chun Y S.Experimental formula forthe fundamental period of RC buildings with shear-walldominant systems[J].The Structural Design of TallBuildings,2000,9(4):295-307
[7]Balkaya C,Kalkan E.Estimation of fundamental periods ofshear-wall dominant building structures[J].EarthquakeEngineering and Structural Dynamics,2003,32(7):985-998
[8]Ghrib F,Mamedov H.Period formulas of shear wall buildingswith flexible bases[J].Earthquake Engineering and StructuralDynamics,2004,33(3):295-314
[9]Ljung L.System identification-theory for the user[M].2nd Edition.New Jersey:PTR Prentice Hall,1999
[10]Andersson P.Adaptive forgetting in recursive identificationthrough multiple models[J].International Journal ofControl,1985,42(11):1175-1193
[11]公茂盛.基于强震记录的结构模态参数识别与应用研究[D].哈尔滨:中国地震局工程力学研究所,2006
[12]Loh C H,Lin H M.Application of off-line and on-lineidentification techniques to building seismic response data[J].Earthquake Engineering and Structural Dynamics,1996,25(3):269-290
[13]吕西林,周德源,李思明,等.建筑结构抗震设计理论与实例[M].上海:同济大学出版社,2002
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