摘要
在现有研究基础上,给出一种空间相关多点地震动加速度时程拟合方法。通过对互功率谱密度矩阵进行转化得到实对称正定矩阵,对该实对称正定矩阵进行乔里斯基进行分解,利用分解结果来表达地震动时程合成公式的幅值和相位角,从而拟合地震动时程。由于整个过程只需要对实对称正定矩阵分解,避免了复数矩阵的乔里斯基分解,大大减小了运算量。通过MATLAB编制相关程序验证了该方法的可行性。
A matching method is presented for spatial multipoint ground motions based on existing research.The method obtains the real positive symmetric matrices by the cross power spectral density matrix transformation,and then makes the Cholesky decomposition to the real positive matrices. By decomposition results,the amplitude and phase Angle of ground motion formula are expressed to fit the ground motion time history. The entire process decomposes only the real symmetric positive definite matrix,avoiding the Cholesky decomposition of plural matrix and reducing the calculation. Also a corresponding program has been compiled to verify the correctness of this method.
出处
《河南城建学院学报》
CAS
2016年第4期13-18,共6页
Journal of Henan University of Urban Construction
基金
国家自然科学基金(51664017)
关键词
空间相关
多点地震动
互功率谱
迟滞相干函数
乔里斯基分解
spatial correlation
multipoint ground motion
cross power spectral density
lagging coherency function
Cholesky decomposition
作者简介
程昀（1991-），男，安徽阜阳人，硕士研究生。
