基于支座加速度输入的频域地震反应分析方法
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摘要
为了真实反映结构的地震荷载输入方式及在地震作用下结构的动力反应,建立了一种基于支座加速度输入的频域地震反应分析方法,研究了结构在支座加速度输入下的动力反应.根据大质量法原理在支座处附加一大质量,在频域精细传递矩阵理论基础上建立了结构的整体传递关系,输入地震加速度傅里叶谱,依据边界条件进行求解得到结构的动力反应,编制了相应的计算程序并进行了算例分析.计算结果表明,该方法正确有效,可用于结构的地震反应分析.
In order to truly reflect the input mode of seismic load and the dynamic response of structures under the seismic action,an analysis method for seismic response in frequency domain based on bearing acceleration input was established,and the dynamic response of structures under bearing acceleration input was studied.According to the principle of a great mass method,a great mass was added on the support.Based on the precise transfer matrix theory for frequency domain,the overall transfer relationship of structures was established.In addition,the Fourier spectrum of seismic acceleration was input,and the dynamic response of structures was solved according to the boundary conditions.The corresponding computation program was compiled,and the corresponding analysis on the examples was carried out.The computation results show that the proposed method is correct and efficient,and can be used for the seismic response analysis on structures.
In order to truly reflect the input mode of seismic load and the dynamic response of structures under the seismic action,an analysis method for seismic response in frequency domain based on bearing acceleration input was established,and the dynamic response of structures under bearing acceleration input was studied.According to the principle of a great mass method,a great mass was added on the support.Based on the precise transfer matrix theory for frequency domain,the overall transfer relationship of structures was established.In addition,the Fourier spectrum of seismic acceleration was input,and the dynamic response of structures was solved according to the boundary conditions.The corresponding computation program was compiled,and the corresponding analysis on the examples was carried out.The computation results show that the proposed method is correct and efficient,and can be used for the seismic response analysis on structures.
引文
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[10]孙建鹏,李青宁.结构地震反应的频域精细传递矩阵法[J].世界地震工程,2010,26(1):131-136.(SUN Jian-peng,LI Qing-ning.Precise transfer matrix method for the earthquake response of the structure in frequency domain[J].World Earthquake Engineer-ing,2010,26(1):131-136.)
[2]孙建鹏,李青宁.求解结构自振频率的精细传递矩阵法[J].世界地震工程,2009,25(2):140-145.(SUN Jian-peng,LI Qing-ning.Precise transfer matrix method for resolving natural frequencies of structures[J].World Earthquake Engineering,2009,25(2):140-145.)
[3]王田友,丁洁民,楼梦麟,等.地铁运行所致建筑物振动的传播规律分析[J].土木工程学报,2009,42(5):33-39.(WANG Tian-you,DING Jie-min,LOU Meng-lin,et al.Subw ay-induced building vibration and its pro-pagation[J].China Civil Engineering Journal,2009,42(5):33-39.)
[4]于海丰,张耀春.地震动输入方法研究[J].工程力学,2009,26(增刊1):1-6.(YU Hai-feng,ZHANG Yao-chun.Discussion on earthquake input method[J].Engineering Mechanics,2009,26(Sup1):1-6.)
[5]朱镜清.结构抗震分析原理[M].北京:地震出版社,2004.(ZHU Jing-qing.Principle of structure seismic analy-sis[M].Beijing:Seismological Press,2004.)
[6]李青宁.变截面杆元传递矩阵法[J].西安建筑科技大学学报,2001,33(1):18-23.(LI Qing-ning.The transfer matrix method of bar ele-ments w ith variable cross-section[J].Journal of Xi’an University of Architecture&Technology,2001,33(1):18-23.)
[7]Zhong W X,Williams F W.A precise time step inte-gration method[J].Journal of Mechanical Engineer-ing Science,1994,208(6):427-430.
[8]刘庆潭,倪国荣.结构分析中的传递矩阵法[M].北京:中国铁道出版社,1997.(LIU Qing-tan,NI Guo-rong.The transfer matrix method used in structure analysis[M].Beijing:China Railw ay Press,1997.)
[9]董刚,朱镜清.结构地震反应分析的频域传递矩阵法[J].计算结构力学及其应用,1994,11(4):429-435.(DONG Gang,ZHU Jing-qing.Transfer matrix me-thod in frequency domain for earthquake response analysis of structures[J].Journal of Computational Structural Mechanics and Applications,1994,11(4):429-435.)
[10]孙建鹏,李青宁.结构地震反应的频域精细传递矩阵法[J].世界地震工程,2010,26(1):131-136.(SUN Jian-peng,LI Qing-ning.Precise transfer matrix method for the earthquake response of the structure in frequency domain[J].World Earthquake Engineer-ing,2010,26(1):131-136.)
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