考虑扭转耦合的土-结构动力响应的一种简化分析法
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摘要
提出了一个利用模态分解和傅里叶变换求解不对称结构扭转耦合动力响应的土-结构相互作用分析的实用简化方法,从而不仅使矩阵计算大大简化,计算结果具有较高准确性。数值参数分析表明当地基土为软土,尤其是地基土剪切波波速低于1000 m/s时,基础水平位移和摇摆幅度分别随结构质量与基础质量之比和结构高度与回转半径之比的增加而显著增大。对于地基土不是硬土,而且具有一定的高度和刚度偏心距的结构,必须考虑扭转耦合的土-结构动力相互作用的影响。
In order to obtain the dynamic response of torsionally asymmetric buildings including the soil-structure interaction effect,a simplified method using modal decomposition and the Fourier transform algorithm is presented.The matrix formulation employed in this method produces a better approximation with less computational effort.This numerical parametric study shows that the horizontal displacement and rocking rotation of the foundation increases respectively as a result that the ratio of structure mass to foundation mass and the ratio of structure height to gyration radius increase,especially if the shear wave velocity is lower than 1000 m/s.For a medium highrise building with moderate or large eccentricity that is supported on a moderately or very flexible foundation medium,the influence of increased torsional loadings on the combined lateral torsional responses must be taken into account.
In order to obtain the dynamic response of torsionally asymmetric buildings including the soil-structure interaction effect,a simplified method using modal decomposition and the Fourier transform algorithm is presented.The matrix formulation employed in this method produces a better approximation with less computational effort.This numerical parametric study shows that the horizontal displacement and rocking rotation of the foundation increases respectively as a result that the ratio of structure mass to foundation mass and the ratio of structure height to gyration radius increase,especially if the shear wave velocity is lower than 1000 m/s.For a medium highrise building with moderate or large eccentricity that is supported on a moderately or very flexible foundation medium,the influence of increased torsional loadings on the combined lateral torsional responses must be taken into account.
引文
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[11]J P瓦尔夫.土-结构动力相互作用[M].北京:地震出版社,1989.
[2]Wu W H,Smith A.Efficient modal analysis for struc-tures with soil-structure interaction[J].EarthquakeEngineering and Structural Dynamics,1995,24(2):283—299.
[3]Wu W H.Equivalent fixed-base models for soil-struc-ture interaction systems[J].Soil Dynamics and Earth-quake Engineering,1997,16(2):323—336.
[4]Meek J W,Wolf J P.Cone models for homogeneoussoil[J].Journal of Geotechnical Engineering,ASCE,1992,118(4):667—685.
[5]Wolf J P,Song C.Finite element modelling of un-bounded media[M].UK:John Wiley&Sons,WestSussex,1996.
[6]Ghaffer-Zadeh M,Chapel F.Frequency independentimpedances of soil-structure systems in horizontal androcking modes[J].Earthquake Engineering and Struc-tural Dynamics,1983,11(4):523—540.
[7]Sivakumaran K S,Lin MS,Karasudhi P.Seismicanalysis of asymmetric building-foundation systems[J].Journal of Computers and Structures,1992,43(6):1 091—1 103.
[8]严人觉,王贻荪,韩清宇.动力基础半空间理论概论[M].北京:中国建筑工业出版社,1981.
[9]Veletsos A S,Wei Y T.Lateral and rocking vibra-tions of footings[J].Journal of Soil Mechanics Foun-dation Division,ASCE,1971,97(SM 9):1 127—1 248.
[10]Veletsos A S,Nair V V.Torsional vibration of vis-coelastic foundations[J].Journal of Geotechnical En-gineering Division ASCE,1974,100(2):225—246.
[11]J P瓦尔夫.土-结构动力相互作用[M].北京:地震出版社,1989.
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