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A new spatial coherence model and analytical coefficients for multi-support response spectrum combination
作者姓名:王君杰  陈虎
作者单位:Dept. of Bridge Engineering Tongji University,Dept. of Bridge Engineering Tongji University,Shanghai 200092 China,Shanghai 200092 China
摘    要:In this paper, a new spatial coherence model of seismic ground motions is proposed by a fi tting procedure. The analytical expressions of modal combination (correlation) coeffi cients of structural response are developed for multi-support seismic excitations. The coeffi cients from both the numerical integration and analytical solutions are compared to verify the accuracy of the solutions. It is shown that the analytical expressions of numerical modal combination coeffi cients are of high accuracy. The results of random responses of an example bridge show that the analytical modal combination coeff icients developed in this paper are accurate enough to meet the requirements needed in practice. In addition, the computational effi ciency of the analytical solutions of the modal combination coeff icients is demonstrated by the response computation of the example bridge. It is found that the time required for the structural response analysis by using the analytical modal combination coeffi cients is less than 1/20 of that using numerical integral methods.

关 键 词:地震  光谱密度  计算效率  空间聚形模型
文章编号:1671-3664(2007)03-0225-11
收稿时间:24 April 2007
修稿时间:2007-04-24

A new spatial coherence model and analytical coefficients for multi-support response spectrum combination
Wang?Junjie,Chen?Hu.A new spatial coherence model and analytical coefficients for multi-support response spectrum combination[J].Earthquake Engineering and Engineering Vibration,2007,6(3):225-235.
Authors:Wang Junjie  Chen Hu
Institution:Dept. of Bridge Engineering, Tongji University, Shanghai 200092, China
Abstract:In this paper, a new spatial coherence model of seismic ground motions is proposed by a fi tting procedure. The analytical expressions of modal combination (correlation) coeffi cients of structural response are developed for multi-support seismic excitations. The coeffi cients from both the numerical integration and analytical solutions are compared to verify the accuracy of the solutions. It is shown that the analytical expressions of numerical modal combination coeffi cients are of high accuracy. The results of random responses of an example bridge show that the analytical modal combination coeff icients developed in this paper are accurate enough to meet the requirements needed in practice. In addition, the computational effi ciency of the analytical solutions of the modal combination coeff icients is demonstrated by the response computation of the example bridge. It is found that the time required for the structural response analysis by using the analytical modal combination coeffi cients is less than 1/20 of that using numerical integral methods.
Keywords:multi-support seismic excitations  spatial coherence model  modal combination coeffi cients  computational effi ciency  power spectrum density
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