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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。
Based on the existing research, a method of time-series fitting of multi-point ground motions is proposed. The real symmetric positive definite matrix is obtained by transforming the mutual power spectral density matrix, and the real symmetric positive definite matrix is decomposed by using Chorisky basis. The decomposition result is used to express the amplitude and phase angle of the synthetic formula of the ground motion and thus to fit the earthquake Time schedule. Since the whole process only needs to decompose the real symmetric positive definite matrix, it avoids the Chorisky decomposition of the complex matrix and greatly reduces the computational complexity. The program was compiled through MATLAB to verify the feasibility of this method.