Substructure Identification for Shear Structures with Nonstationary Structural Responses
Publication: Journal of Engineering Mechanics
Volume 139, Issue 12
Abstract
In previous studies by the authors, a substructure identification method for shear structures was proposed to identify all structural story stiffness and damping parameters from top to bottom inductively. In the method derivation, the structural responses were required to be wide sense stationary to convert structural dynamic equations to differential equations in the correlation functions of structural responses, which are used to formulate substructure identifications. In this paper, this method is extended to accommodate nonstationary structural responses. A different derivation procedure is adopted to formulate substructure identifications directly from the Fourier transform of the structural dynamic equations, resulting in a formulation nearly the same as its stationary response predecessor. An identification error analysis for the substructure identification method reveals how structural responses affect the identification accuracy. On the basis of this result, a smart reference selection rule is proposed to choose the best reference response candidate, needed for forming the substructure identifications, to improve the identification accuracy. A 10-story shear building structure is used to illustrate the effectiveness of the substructure identification method with two kinds of nonstationary excitations: a long nonstationary response and a group of short earthquake excitations. The simulation results show that this substructure identification method provides very accurate identification results even with very large measurement noise and nonstationary responses.
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Acknowledgments
The authors gratefully acknowledge the partial support of this work by the National Science Foundation through CAREER Award No. CMS 00-94030 and through Award Nos. ANI 03-25875 and CMMI 08-26634. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
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Published In
Journal of Engineering Mechanics
Volume 139 • Issue 12 • December 2013
Pages: 1769 - 1779
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Jul 17, 2012
Accepted: Mar 13, 2013
Published online: Mar 15, 2013
Published in print: Dec 1, 2013
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