Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement Approach

This paper proposes a statistical confidence interval based nonlinear model parameter refinement approach for the health monitoring of structural systems subjected to seismic excitations. The developed model refinement approach uses the 95% confidence interval of the estimated structural parameters...

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Main Authors: Jeng-Wen Lin, Hung-Jen Chen
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2009-0463
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author Jeng-Wen Lin
Hung-Jen Chen
author_facet Jeng-Wen Lin
Hung-Jen Chen
author_sort Jeng-Wen Lin
collection DOAJ
description This paper proposes a statistical confidence interval based nonlinear model parameter refinement approach for the health monitoring of structural systems subjected to seismic excitations. The developed model refinement approach uses the 95% confidence interval of the estimated structural parameters to determine their statistical significance in a least-squares regression setting. When the parameters' confidence interval covers the zero value, it is statistically sustainable to truncate such parameters. The remaining parameters will repetitively undergo such parameter sifting process for model refinement until all the parameters' statistical significance cannot be further improved. This newly developed model refinement approach is implemented for the series models of multivariable polynomial expansions: the linear, the Taylor series, and the power series model, leading to a more accurate identification as well as a more controllable design for system vibration control. Because the statistical regression based model refinement approach is intrinsically used to process a “batch” of data and obtain an ensemble average estimation such as the structural stiffness, the Kalman filter and one of its extended versions is introduced to the refined power series model for structural health monitoring.
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spelling doaj-art-6e6ed953e55f440a937ddc0ff672700b2025-02-03T06:12:08ZengWileyShock and Vibration1070-96221875-92032009-01-0116322924010.3233/SAV-2009-0463Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement ApproachJeng-Wen Lin0Hung-Jen Chen1Department of Civil Engineering, Feng Chia University, 407 Taichung, TaiwanGraduate Institute of Civil and Hydraulic Engineering, Feng Chia University, 407 Taichung, TaiwanThis paper proposes a statistical confidence interval based nonlinear model parameter refinement approach for the health monitoring of structural systems subjected to seismic excitations. The developed model refinement approach uses the 95% confidence interval of the estimated structural parameters to determine their statistical significance in a least-squares regression setting. When the parameters' confidence interval covers the zero value, it is statistically sustainable to truncate such parameters. The remaining parameters will repetitively undergo such parameter sifting process for model refinement until all the parameters' statistical significance cannot be further improved. This newly developed model refinement approach is implemented for the series models of multivariable polynomial expansions: the linear, the Taylor series, and the power series model, leading to a more accurate identification as well as a more controllable design for system vibration control. Because the statistical regression based model refinement approach is intrinsically used to process a “batch” of data and obtain an ensemble average estimation such as the structural stiffness, the Kalman filter and one of its extended versions is introduced to the refined power series model for structural health monitoring.http://dx.doi.org/10.3233/SAV-2009-0463
spellingShingle Jeng-Wen Lin
Hung-Jen Chen
Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement Approach
Shock and Vibration
title Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement Approach
title_full Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement Approach
title_fullStr Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement Approach
title_full_unstemmed Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement Approach
title_short Repetitive Identification of Structural Systems Using a Nonlinear Model Parameter Refinement Approach
title_sort repetitive identification of structural systems using a nonlinear model parameter refinement approach
url http://dx.doi.org/10.3233/SAV-2009-0463
work_keys_str_mv AT jengwenlin repetitiveidentificationofstructuralsystemsusinganonlinearmodelparameterrefinementapproach
AT hungjenchen repetitiveidentificationofstructuralsystemsusinganonlinearmodelparameterrefinementapproach