基础隔震结构基于设计反应谱的地震作用取值
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摘要
首先建立了基础隔震结构的运动方程.由于所得运动方程为非对称质量与非经典阻尼矩阵的情况,因此用复模态法解耦,得到了结构地震响应的时域表达式;然后引用欧拉变换,获得了响应关于一系列等效单自由度体系位移和速度响应的线性组合,根据振型分解反应谱理论就可以求解基础隔震结构基于设计反应谱的地震响应和地震作用.最后,通过一个例子来说明该方法的精度和应用,以便为理论研究、工程设计和规范的修正提供参考.
The dynamic equations of base seismic-isolation structure are established first.Snasmuch as the mass matrix is non-symmetry and the damping matrix non-classical,the complex mode theory is used to uncouple the equations and the expression in time domain of structural earthquake responses is gained.The dynamic response,which is equal to the combination of displacement and velocity responses of a series of equivalent SDOF systems,is obtained using Euler transform.Then the earthquake responses and earthquake action of base seismic isolation structure based on designed response spectrum are obtained according to the mode-decomposed response spectrum theory.At last,an example is put forward to show the precision as well as the use of this method.The results give some reference to the theoretical research,project design and code revision.
The dynamic equations of base seismic-isolation structure are established first.Snasmuch as the mass matrix is non-symmetry and the damping matrix non-classical,the complex mode theory is used to uncouple the equations and the expression in time domain of structural earthquake responses is gained.The dynamic response,which is equal to the combination of displacement and velocity responses of a series of equivalent SDOF systems,is obtained using Euler transform.Then the earthquake responses and earthquake action of base seismic isolation structure based on designed response spectrum are obtained according to the mode-decomposed response spectrum theory.At last,an example is put forward to show the precision as well as the use of this method.The results give some reference to the theoretical research,project design and code revision.
引文
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[5]张文芳,程文瀼.基础隔振结构设置摩擦阻尼器的地震反应研究[J].土木工程学报,2001,34(5):1-9.ZHANG Wen-fang,CHENG Wen-rang.A MODEL FOR SEISMIC RESPONSE OF BASE-ISOLATED STRUC-TURES WITH FRICTION DAMPERS[J].CHINA CIVIL ENGINEERINGJOURNAL,2001,34(5):1-9.
[6]邹力华,赵人达.土-基础相互作用隔震体系地震随机响应分析[J].计算力学学报,2005,22(2):252-256.ZOU Li-hua,ZHAO Ren-da.Analysis of the randomresponses to earthquake of the subsoil-base-interaction isola-ted system[J].Chinese Journal of Computational Mechanics,2005,22(2):252-256.
[7]李创第,黄天立.基础隔震结构随机地震响应分析的复模态法[J].地震工程与工程振动,2002,22(6):122-128.LI Chuang-di,HUANG Tian-li.Complex modal methods for analysis of randomearthquake response of structureswith base isolation[J].Earthquake Engineering and Engineering Vibration,2002,22(6):122-128.
[8]欧进萍,吴斌,龙旭.耗能减振结构的抗震设计方法[J].地震工程与工程振动,1998,18(2):98-107.OUJin-ping,WU Bin,LONG Xu.ASEISMIC DESIGN METHODS OF PASSIVE ENERGYDISSIPATIONSYS-TEMS[J].Earthquake Engineering and Engineering Vibration,1998,18(2):98-107.
[9]FAWZYI,BISHOP R B E D.On the dynamics of linear no conservative systems[J].Proc.Roy.Soc,London,Ser.A,1976,25:352.
[10]LIN Y Y,CHANG K C.Study on damping reduction factor for buildings under earthquake ground motions[M].ASCE,ISSN0733-9445/2003/2-206-214.
[2]周福霖.工程结构减震控制[M].北京:地震出版社,1997.ZHOU Fu-lin.Structural Control Technology[M].Beijing:Earthquake Press,1997.
[3]GB5001-2001,建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.GB5001-2001,Code for seismic Design of Buildings[S].Beijing:China Architecture&Building Press,2001.
[4]刘伟庆,王曙光,林勇.宿迁市人防指挥大楼隔震设计方法研究[J].建筑结构学报,2005,26(2):81-86.LI U Wei-qing,WANG Shu-guang,LIN Yong.Research on the design method of base-isolated structure of SuqianRenfang Zhihui Building[J].Journal of Building Structures,2005,26(2):81-86.
[5]张文芳,程文瀼.基础隔振结构设置摩擦阻尼器的地震反应研究[J].土木工程学报,2001,34(5):1-9.ZHANG Wen-fang,CHENG Wen-rang.A MODEL FOR SEISMIC RESPONSE OF BASE-ISOLATED STRUC-TURES WITH FRICTION DAMPERS[J].CHINA CIVIL ENGINEERINGJOURNAL,2001,34(5):1-9.
[6]邹力华,赵人达.土-基础相互作用隔震体系地震随机响应分析[J].计算力学学报,2005,22(2):252-256.ZOU Li-hua,ZHAO Ren-da.Analysis of the randomresponses to earthquake of the subsoil-base-interaction isola-ted system[J].Chinese Journal of Computational Mechanics,2005,22(2):252-256.
[7]李创第,黄天立.基础隔震结构随机地震响应分析的复模态法[J].地震工程与工程振动,2002,22(6):122-128.LI Chuang-di,HUANG Tian-li.Complex modal methods for analysis of randomearthquake response of structureswith base isolation[J].Earthquake Engineering and Engineering Vibration,2002,22(6):122-128.
[8]欧进萍,吴斌,龙旭.耗能减振结构的抗震设计方法[J].地震工程与工程振动,1998,18(2):98-107.OUJin-ping,WU Bin,LONG Xu.ASEISMIC DESIGN METHODS OF PASSIVE ENERGYDISSIPATIONSYS-TEMS[J].Earthquake Engineering and Engineering Vibration,1998,18(2):98-107.
[9]FAWZYI,BISHOP R B E D.On the dynamics of linear no conservative systems[J].Proc.Roy.Soc,London,Ser.A,1976,25:352.
[10]LIN Y Y,CHANG K C.Study on damping reduction factor for buildings under earthquake ground motions[M].ASCE,ISSN0733-9445/2003/2-206-214.
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