抗弯钢框架结构自振周期经验公式研究
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摘要
为完善钢结构自振周期计算经验公式,改善该类结构抗震设计。针对36座抗弯钢框架结构建筑物详细资料及其结构强震记录,采用在线多模型遗忘算子算法探测每个结构的反应记录是否为非线性时变反应时程,并利用离线的自回归系统辨识模型,识别所有钢结构损伤前后的自振周期。在此基础上,对结构完好状态时的自振周期进行回归分析,给出基于结构强震记录的抗弯钢框架结构自振周期计算公式,并将公式与钢筋混凝土框架剪力墙结构的计算公式进行对比。所得公式可以计算抗弯钢框架结构的自振周期,可供该类结构的抗震设计或相关研究参考。
For amending the seismic design of moment resisting steel frame buildings,the empirical formula for estimating natural period of steel structure is studied and a new formula is proposed by the author.36 moment resisting steel frame buildings installed with strong motion observation systems are chosen for the analysis.All the observation systems had been triggered and recorded seismic response in earthquakes.Firstly,the response data of every building are analyzed by using the multiple models with forgetting factors to confirm the time-varying characteristics.And then,the natural periods of all buildings before and after damage are identified by using off-line system identification method.At last,the empirical formula for calculating the natural periods of moment resisting steel frame building is obtained by regression analysis.Moreover,the result is compared with the empirical formula of concrete frame shear wall buildings.The empirical formula can be referenced by the seismic design of moment resisting steel frame buildings and related studies.
For amending the seismic design of moment resisting steel frame buildings,the empirical formula for estimating natural period of steel structure is studied and a new formula is proposed by the author.36 moment resisting steel frame buildings installed with strong motion observation systems are chosen for the analysis.All the observation systems had been triggered and recorded seismic response in earthquakes.Firstly,the response data of every building are analyzed by using the multiple models with forgetting factors to confirm the time-varying characteristics.And then,the natural periods of all buildings before and after damage are identified by using off-line system identification method.At last,the empirical formula for calculating the natural periods of moment resisting steel frame building is obtained by regression analysis.Moreover,the result is compared with the empirical formula of concrete frame shear wall buildings.The empirical formula can be referenced by the seismic design of moment resisting steel frame buildings and related studies.
引文
[1]GB50009—2001建筑结构荷载规范[S].北京:中国建筑工业出版社,2006
[2]Goel R K,Chopra A K.Period formulas for moment-resisting frame buildings[J].Journal of StructuralEngineering,1997,123(11):1454-1461
[3]Goel R K,Chopra A K.Period formulas for concrete shearwall buildings[J].Journal of Structural Engineering,1998,124(4):426-433
[4]Chopra A K,Goel R K.Building period formula forestimating seismic displacements[J].Earthquake Spectra,2000,16(2):533-536
[5]Hong L L,Hwang W L.Empirical formula for fundamentalvibration periods of reinforced concrete buildings in Taiwan[J].Earthquake Engineering and Structural Dynamics,2000,29(3):327-337
[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]公茂盛,谢礼立,欧进萍.基于结构强震记录框剪结构自振周期经验公式[J].土木工程学报,2010,43(12):35-40(Gong Maosheng,Xie Lili,Ou Jinping.Empiricalformula for fundamental period of frame-shear wallstructures based on structural strong motion records[J].China Civil Engineering Journal,2010,43(12):35-40(inChinese))
[9]Ljung L.System identification-theory for the user[M].2nd edition.Upper Saddle River,N.J.:PTR PrenticeHall,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]公茂盛,谢礼立,欧进萍.结构振动台模型模态参数识别新方法研究[J].振动工程学报,2010,23(2):230-236(Gong Maosheng,Xie Lili,Ou Jinping.A new methodfor modal parameter identification of structural shakingtable model[J].Journal of Vibration Engineering,2010,23(2):230-236(in Chinese))
[2]Goel R K,Chopra A K.Period formulas for moment-resisting frame buildings[J].Journal of StructuralEngineering,1997,123(11):1454-1461
[3]Goel R K,Chopra A K.Period formulas for concrete shearwall buildings[J].Journal of Structural Engineering,1998,124(4):426-433
[4]Chopra A K,Goel R K.Building period formula forestimating seismic displacements[J].Earthquake Spectra,2000,16(2):533-536
[5]Hong L L,Hwang W L.Empirical formula for fundamentalvibration periods of reinforced concrete buildings in Taiwan[J].Earthquake Engineering and Structural Dynamics,2000,29(3):327-337
[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]公茂盛,谢礼立,欧进萍.基于结构强震记录框剪结构自振周期经验公式[J].土木工程学报,2010,43(12):35-40(Gong Maosheng,Xie Lili,Ou Jinping.Empiricalformula for fundamental period of frame-shear wallstructures based on structural strong motion records[J].China Civil Engineering Journal,2010,43(12):35-40(inChinese))
[9]Ljung L.System identification-theory for the user[M].2nd edition.Upper Saddle River,N.J.:PTR PrenticeHall,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]公茂盛,谢礼立,欧进萍.结构振动台模型模态参数识别新方法研究[J].振动工程学报,2010,23(2):230-236(Gong Maosheng,Xie Lili,Ou Jinping.A new methodfor modal parameter identification of structural shakingtable model[J].Journal of Vibration Engineering,2010,23(2):230-236(in Chinese))
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