结构-土相互作用体系的地震作用取值——基于规范-非平稳地震动模型的复模态频域法
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摘要
为了求解结构-土相互作用体系的地震作用,对基于规范-非平稳地震动模型的复模态频域法进行了系统研究.首先,建立了结构-土相互作用体系的运动方程,根据上部结构的地震响应以第一阶振型为主的特点,将其按第一振型展开;然后,针对所得运动方程为非对称质量与非经典阻尼矩阵的情况,用复模态法解耦;最后,采用与抗震规范设计反应谱的地震动参数一致的Clough-Penzien-三段式非平稳地震动随机模型在频域内进行了体系的随机地震响应分析,进而得到了结构的地震作用取值.通过一个例子来说明本文方法在结构-土相互作用体系地震作用取值的应用,同时分别给出了基础固定结构基于地震动模型和规范设计反应谱的地震作用取值来进行比较.
In order to calculate the earthquake action of structure-soil interaction system,the complex mode frequency domain method based on seismic code-non-stationary seismic random model is studied systematically.(Firstly,the dynamic equation of structure-soil interaction system is established.According to the fact that the first mode contributes to the main part of the total motion,the structural responses are unfolded by the first mode.Aimed at the situation that the mass matrix is non-symmetric and the damping matrix is non-classical,the complex mode theory is used to decouple the equations.Then the earthquake responses and earthquake action are attained in frequency domain by adopting Clough-Penzien-three-step non-stationary seismic random model which has the same ground motion parameters as the design response spectrum of seismic code.(An example is presented to show the application of this method.And the earthquake actions of base fixed structure based on seismic random model and design response spectrum are given for comparison.
In order to calculate the earthquake action of structure-soil interaction system,the complex mode frequency domain method based on seismic code-non-stationary seismic random model is studied systematically.(Firstly,the dynamic equation of structure-soil interaction system is established.According to the fact that the first mode contributes to the main part of the total motion,the structural responses are unfolded by the first mode.Aimed at the situation that the mass matrix is non-symmetric and the damping matrix is non-classical,the complex mode theory is used to decouple the equations.Then the earthquake responses and earthquake action are attained in frequency domain by adopting Clough-Penzien-three-step non-stationary seismic random model which has the same ground motion parameters as the design response spectrum of seismic code.(An example is presented to show the application of this method.And the earthquake actions of base fixed structure based on seismic random model and design response spectrum are given for comparison.
引文
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[2]王开顺.土和结构相互作用地震反应和设计地震荷载[S].中国建筑科学研究工程抗震研究报告,84-108.
[3]王雪生,薛素铎,曹资.结构多维地震作用研究综述及展望(Ⅰ)——地震动输入[J].世界地震工程,2001,17(4):27-33.
[4]欧进萍,牛荻涛,杜修力.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,
[5]洪峰,江近仁,李玉亭.地震地面运动的功率谱模型及其参数的确定[J].地震工程与工程振动,1994,14(2):46-51.
[6]张治勇,孙柏涛,宋天舒.新抗震规范地振动功率谱模型参数的研究[J].世界地震工程,2000,16(3):33-38
[7]薛素铎,王雪生,曹资,基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5-10.
[8]建筑抗震设计规范GB5001-2001[S].北京:中国建筑工业出版社,2001
[9]黄东梅,李创第,陈俊忠,邹万杰,结构一土相互作用体系的地震作用取值——基于规范地震动模型的复模态时域法[J],振动工程学报,2006,19(4):571-577.
[10]WOLF J P,土结构动力相互作用[M],吴世明,唐有职,译.北京:地震出版社,1989
[11]FAWZY I,BISHOP R E D.On the dynamics of line-ar no conservative systems[J].Proc Roy Soc Lon-don,Ser A,1976.25:352.
[12]KANAI K.An empirical formula for the spectrum of strong earthquake motions[J].Bull.Earthquake Res.Inst,Univ.Tokyo,1961,39,85-95.
[13]CLOUGH R W,PENZIEN J.Dynamics of Structures[M].2nd edition.New York McGraw-Hill.Inc.1993.
[14]陈国兴,金永彬,宰金珉.高层建筑随机地震反应的简洁计算[J].南京建筑工程学院学报,,99(1):29-37.
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