Story-by-story estimation of the stiffness parameters of laterally-torsionally coupled buildings using forced or ambient vibration data: I. Formulation and verification

SUMMARY A new parameter estimation algorithm is described for identifying the stiffness properties of torsionally coupled shear buildings from their linear response due to ambient excitations or during low‐amplitude forced‐vibration tests. The algorithm is based on the time‐domain equations of motio...

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Bibliographic Details
Published in:Earthquake engineering & structural dynamics Vol. 41; no. 12; pp. 1609 - 1634
Main Authors: Omrani, Roshanak, Hudson, Ralph E., Taciroglu, Ertugrul
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 10.10.2012
Wiley
Subjects:
damage detection
Earth sciences
Earth, ocean, space
Earthquakes, seismology
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
Internal geophysics
parameter estimation
torsion-shear buildings
algorithms
damage
inverse problem
detection
shear
simulation
banded structures
structural controls
damage detection
decomposition
stiffness
earthquakes
vibration
amplitude
torsion
buildings
parameter estimation
equilibrium
torsion-shear buildings
earthquake engineering
ISSN:0098-8847, 1096-9845
Online Access:Get full text
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Summary:SUMMARY A new parameter estimation algorithm is described for identifying the stiffness properties of torsionally coupled shear buildings from their linear response due to ambient excitations or during low‐amplitude forced‐vibration tests. The algorithm is based on the time‐domain equations of motion, and yields estimates of the stiffness properties using a measure of the equilibrium of forces acting on each floor over a time interval. The banded structure of the stiffness matrix — a property intrinsic to torsion‐shear buildings — is exploited to decompose the initial inverse problem into several problems of reduced size. This decomposition allows the identification of lateral and torsional stiffnesses of individual stories, independent of the others. The algorithm utilizes vibration data where input excitation is known/measured, which is typical for forced‐vibration tests and earthquakes. If the ambient vibrations of the structure are adequately uncorrelated to the (unknown) external forces that induce such vibrations, then the algorithm can also be modified for output‐only system identification. The proposed algorithm is verified — and its various attributes are investigated — using simulation data from the ‘Analytical Phase I’ of the IASC (International Association for Structural Control)‐ASCE (American Society of Civil Engineers) benchmark studies. The companion article is devoted to the algorithm's application to experimental data, using data from the ‘Experimental Phase’ of the same benchmark studies. Copyright © 2011 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-L73Q6WD6-K
istex:F3365C6CB31DA74E4DC93E2B973FB9CBA4CC1F36
ArticleID:EQE1192
ISSN:0098-8847
1096-9845
DOI:10.1002/eqe.1192