This paper presents a subspace system identification for estimating the stiffness matrix and flexural rigidities of a shear
building under earthquake. Subspace SI is a kind of inverse problem and suffers from inherent instabilities caused by
modeling error and measurement noise. The size of Hankel matrix (k(m+p)×Tw/Δt), which represents the amount of
selected dynamic data among measured responses, is closely related to the accuracy and numerical instability of
estimated system matrices. The numerical instability and accuracy of subspace SI is investigated through the estimation
error curve of stiffness matrix. The estimation error curve is obtained with respect to the number of block row(k) and
sampling rate (Δt) for various time window size (Tw) using a prior finite element model of a shear building. k, Δt and Tw
resulting in a target accuracy level, are determined through this curve considering the computational cost of subspace
identification. The validity of the proposed method is demonstrated through the numerical example of a five-story shear
building model with and without damage.
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