土与一般平面不对称结构地震动力相互作用研究
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摘要
为更精确分析结构各层质量中心偏心对结构平移-扭转耦合地震响应影响,提出分析土与一般质量偏心结构地震动力相互作用的基本框架。用极坐标建立双向地震作用下两层一般平面不对称结构(GAS)(六个自由度)动力方程;用五个自由度土阻抗函数表征土与一般平面不对称结构相互作用;建立土与一般平面不对称结构相互作用(SGASI)动力方程。用SGASI系统标准化均方根位移与加速度分析地震动力的相互作用。通过设置不同质量偏心位置,数值研究在双向地震作用下,考虑土与结构相互作用的同轴、非同轴质量偏心对结构平-扭耦合地震响应影响。
In order to more accurately analyze the coupled lateral-torsional seismic responses of a structure whose mass centers at different floors are not located on a single vertical axis,a basic framework for analyzing the seismic interaction between soil and general mass eccentric structure was presented.Polar coordinates were used to develop the dynamic equations of a two-storey general asymmetric-plan structure(GAS) of 6-degree-of-freedom(6DOFs) under bi-directional earthquakes.Then,with resorting to the 5DOF soil impedance functions,the soil-general-asymmetric-plan-structure interaction(SGASI) was characterized.Finally,the dynamic equations of both the GAS and the soil-foudation-superstructure(whole) interaction were integrated.The normalized root-mean-square(RMS) of seismic displacement and acceleration responses of the SGASI system were derived.The effects of the single-axis as well as the non-coaxial mass eccentricities on the coupled lateral-torsional seismic responses were analyzed numerically through setting up different locations of mass centers under bi-directional earthquakes.
In order to more accurately analyze the coupled lateral-torsional seismic responses of a structure whose mass centers at different floors are not located on a single vertical axis,a basic framework for analyzing the seismic interaction between soil and general mass eccentric structure was presented.Polar coordinates were used to develop the dynamic equations of a two-storey general asymmetric-plan structure(GAS) of 6-degree-of-freedom(6DOFs) under bi-directional earthquakes.Then,with resorting to the 5DOF soil impedance functions,the soil-general-asymmetric-plan-structure interaction(SGASI) was characterized.Finally,the dynamic equations of both the GAS and the soil-foudation-superstructure(whole) interaction were integrated.The normalized root-mean-square(RMS) of seismic displacement and acceleration responses of the SGASI system were derived.The effects of the single-axis as well as the non-coaxial mass eccentricities on the coupled lateral-torsional seismic responses were analyzed numerically through setting up different locations of mass centers under bi-directional earthquakes.
引文
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[2]Chandler A M,Hutchinson G L.Parametric earthquakeresponse of torsionally coupled buildings with foundationinteraction[J].Soil Dynamics and Earthquake Engineering,1987,6(3):138-148.
[3]Veletsos A S,Wei Y T.Lateral and rocking vibrations offootings[J].Journal of Soil Mechanics Foundation Division,ASCE,1971,97(9):1127-1248.
[4]Veletsos A S,Nair V V D.Torsional vibration of viscoelasticfoundations[J].Journal of Geotechnical Engineering Division,ASCE,1974,100(3):225-246.
[5]Celebi E,Necmettin A.An efficient seismic analysisprocedure for torsionally coupled multistory buildings includingsoil-structure interaction[J].Turkish J.Eng.Env.Sci.,2005,29:143-157.
[6]Lin J L,Tsai K C,Miranda E.Seismic history analysis ofasymmetric buildings with soil-structure interaction[J].Journal of Structural Engineering,ASCE,2009,135(2):101-112.
[7]周锡元,高小旺,刘晶波.抗震工程学[M].北京:中国建筑工业出版社,2001.
[8]沈聚敏.抗震工程学[M].北京:中国建筑工业出版社,2011.
[9]徐赵东,郭迎庆.MATLAB语言在建筑抗震工程中的应用[M].北京:科学出版社,2004.
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