Determination of optimal sampling rate and Hankel matrix size for subspace SI in shear building under earthquake

Seung-Keun Park; Hyun Woo Park

doi:10.1117/12.2045076

28 March 2014 Determination of optimal sampling rate and Hankel matrix size for subspace SI in shear building under earthquake

Seung-Keun Park, Hyun Woo Park

Author Affiliations +

Proceedings Volume 9064, Health Monitoring of Structural and Biological Systems 2014; 90641P (2014) https://doi.org/10.1117/12.2045076
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2014, San Diego, California, United States

Abstract

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)×T_w/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 T_w 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.

Citation Download Citation

Seung-Keun Park and Hyun Woo Park "Determination of optimal sampling rate and Hankel matrix size for subspace SI in shear building under earthquake", Proc. SPIE 9064, Health Monitoring of Structural and Biological Systems 2014, 90641P (28 March 2014); https://doi.org/10.1117/12.2045076

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