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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Vydané v:	Earthquake engineering & structural dynamics Ročník 41; číslo 12; s. 1609 - 1634
Hlavní autori:	Omrani, Roshanak, Hudson, Ralph E., Taciroglu, Ertugrul
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Chichester, UK John Wiley & Sons, Ltd 10.10.2012 Wiley
Predmet:	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
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Abstract	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.
AbstractList	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. 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.
Author	Omrani, Roshanak Hudson, Ralph E. Taciroglu, Ertugrul
Author_xml	– sequence: 1 givenname: Roshanak surname: Omrani fullname: Omrani, Roshanak organization: Civil & Environmental Engineering Department, University of California, CA, 90095, Los Angeles, USA – sequence: 2 givenname: Ralph E. surname: Hudson fullname: Hudson, Ralph E. organization: Electrical Engineering Department, University of California, CA, 90095, Los Angeles, USA – sequence: 3 givenname: Ertugrul surname: Taciroglu fullname: Taciroglu, Ertugrul email: Ertugrul Taciroglu, UCLA, 5731E Boelter Hall, Los Angeles, CA 90095, USA., etacir@ucla.edu organization: Civil & Environmental Engineering Department, University of California, CA, 90095, Los Angeles, USA
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Keywords	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
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References_xml	– reference: Lus H, Betti R, Yu J, De Angelis M. Investigation of a system identification methodology in the context of the ASCE benchmark problem. Journal of Engineering Mechanics (ASCE) 2004; 130(1):71-84. – reference: Balakrishnan A. Introduction to Random Processes in Engineering. John Wiley & Sons: Hoboken, NJ, 2005. – reference: Barroso LR, Rodriguez R. Damage detection utilizing the damage index method to a benchmark structure. Journal of Engineering Mechanics (ASCE) 2004; 130(2):141-151. – reference: Banan MR, Banan MR, Hjelmstad KD. Parameter estimation of structures from static response. II: Numerical simulation studies. Journal of Structural Engineering (ASCE) 1994; 120(11):3259-3283. – reference: Yang JN, Lei Y, Lin S, Huang N. Hilbert-Huang based approach for structural damage detection. Journal of Engineering Mechanics (ASCE) 2004; 130(1):85-95. – reference: Speyer JL, Chung WH. Stochastic Processes, Estimation, and Control. Society for Industrial and Applied Mathematics (siam): Philadelphia, PA, 2008. – reference: Lam HF, Katafygiotis LS, Mickleborough NC. Application of a statistical model updating approach on Phase I of the IASC-ASCE structural health monitoring benchmark study. Journal of Engineering Mechanics (ASCE) 2004; 130(1):34-48. – reference: Hjelmstad KD, Banan MR, Banan MaR. Time-domain parameter estimation algorithm for structures. I: Computational aspects. Journal of Engineering Mechanics (ASCE) 1995; 121(3):424-434. – reference: Pothisiri T, Hjelmstad KH. Structural damage detection and assessment from modal response. Journal of Engineering Mechanics (ASCE) 2003; 129(2):135-145. – reference: Kang SU, Park SK, Shin S, Lee HS. Structural system identification in time domain using measured acceleration. Journal of Sound and Vibration 2005; 288(1-2):215-234. – reference: Silva S, Junior MD, Junior VL. 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Snippet	SUMMARY A new parameter estimation algorithm is described for identifying the stiffness properties of torsionally coupled shear buildings from their linear... A new parameter estimation algorithm is described for identifying the stiffness properties of torsionally coupled shear buildings from their linear response...
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StartPage	1609
SubjectTerms	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
Title	Story-by-story estimation of the stiffness parameters of laterally-torsionally coupled buildings using forced or ambient vibration data: I. Formulation and verification
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