Integrated mathematical forms for update of physical parameter matrices of damped dynamic system

Eun-Taik Lee; Salam Rahmatalla; Hee-Chang Eun

doi:10.1016/j.apm.2010.08.004

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Integrated mathematical forms for update of physical parameter matrices of damped dynamic system

Journal article

Open access

Peer reviewed

Integrated mathematical forms for update of physical parameter matrices of damped dynamic system

Eun-Taik Lee, Salam Rahmatalla and Hee-Chang Eun

Applied mathematical modelling, Vol.35(3), pp.1167-1174

2011

DOI: 10.1016/j.apm.2010.08.004

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Abstract

Mathematical modelling and updating of damped dynamic systems that involve some modelling errors and subsequent analysis based on those errors will lead to inaccuracy in the results. Because measured and analytical data are unlikely to be identical due to measurement noise and model inadequacies, it is necessary to estimate more accurate parameter matrices for design and analysis. By minimizing a cost function expressed as the sum of the norms of the difference between analytical and experimental parameter matrices, this study directly derives the integrated mathematical expressions for updated physical parameter matrices. In the derivation process, the eigenfunction of a damped dynamic system is utilized as a constraint equation for the updating. It is illustrated that the proposed methods take more explicit forms and can be widely utilized in the damped and undamped systems. Based on the comparison with other methods, the validity of the proposed methods is demonstrated in numerical applications.

Damped system

Minimization

Update

Eigenfunction

Parameter matrices

Details

Title: Subtitle: Integrated mathematical forms for update of physical parameter matrices of damped dynamic system
Creators: Eun-Taik Lee - Department of Architectural Engineering, Chung-Ang University, Seoul, Republic of Korea
Salam Rahmatalla - Department of Civil and Environmental Engineering, 4105 Seamans Center, The University of Iowa, Iowa City, IA 52242-1527, USA
Hee-Chang Eun - Department of Architectural Engineering, Kangwon National University, Hyoja 2 Dong, Chuncheon, Republic of Korea
Resource Type: Journal article
Publication Details: Applied mathematical modelling, Vol.35(3), pp.1167-1174
DOI: 10.1016/j.apm.2010.08.004
ISSN: 0307-904X
Publisher: Elsevier Inc
Grant note: DOI: 10.13039/501100002507, name: Kangwon National University
Language: English
Date published: 2011
Academic Unit: Roy J. Carver Department of Biomedical Engineering; Civil and Environmental Engineering; Injury Prevention Research Center
Record Identifier: 9983991982302771

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