Journal article
Estimation of parameter matrices based on measured data
Applied mathematical modelling, Vol.35(10), pp.4816-4823
2011
DOI: 10.1016/j.apm.2011.03.048
Abstract
Finite element structural updating based on measured data may inherent significant errors due to uncertainties in the updated physical parameter matrices. This study presents analytical equations to estimate the change in the physical parameter matrices based on the measured modal data of dynamic systems and the measured displacement data of static systems. The equations for the parameter estimation are derived by minimizing cost functions in the satisfaction of the eigenvalue equation, the mode shape orthogonality requirements for the dynamic system, and the satisfaction of the measured displacement data for the static systems. The proposed method utilizes the Moore–Penrose inverse for the inverse of the rectangular matrices without using Lagrange multipliers. Comparing the analytical results with Berman & Nagy’s method and Yang & Chen’s method, this study demonstrates that the derived equations take simpler forms and produce more accurate results. The proposed method can be widely utilized in predicting static or dynamic parameter matrices for the design and analysis of any structure.
Details
- Title: Subtitle
- Estimation of parameter matrices based on measured data
- Creators
- Eun-Taik Lee - Department of Architectural Engineering, Chung-Ang University, Republic of KoreaSalam Rahmatalla - Department of Civil and Environmental Engineering, 4105 Seamans Center, The University of Iowa, Iowa City, IA 52242-1527, USAHee-Chang Eun - Department of Architectural Engineering, Kangwon National University, Hyoja 2 Dong, Chuncheon, South Korea
- Resource Type
- Journal article
- Publication Details
- Applied mathematical modelling, Vol.35(10), pp.4816-4823
- DOI
- 10.1016/j.apm.2011.03.048
- ISSN
- 0307-904X
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/501100004085, name: Ministry of Education, Science and Technology, award: 2009-0066266; DOI: 10.13039/501100003725, name: National Research Foundation of Korea
- Language
- English
- Date published
- 2011
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Civil and Environmental Engineering; Injury Prevention Research Center
- Record Identifier
- 9983992071502771
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