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Title: Interval analysis for system identification of linear mdof structures in the presence of modeling errors
Authors: Zhang, M.Q.
Beer, M.
Koh, C.G. 
Keywords: Interval analysis
Modeling errors
State space
Structural dynamics
Subspace identification method
System identification
Uncertainty estimation
Issue Date: 2012
Citation: Zhang, M.Q., Beer, M., Koh, C.G. (2012). Interval analysis for system identification of linear mdof structures in the presence of modeling errors. Journal of Engineering Mechanics 138 (11) : 1326-1338. ScholarBank@NUS Repository.
Abstract: Modeling errors, represented as uncertainty associated with the parameters of a mathematical model, inevitably exist in the process of constructing a theoretical model of real structures and limit the practical application of system identification. They are usually represented either in a deterministic manner or in a probabilistic way. However, if the available information is uncertain but of a nonprobabilistic nature, as it may emerge from a lack of knowledge about the sources and characteristics of model uncertainties, a third type of approach may be useful. Presented in this paperis an approach to treat modeling errors with the aid of intervals, resulting in bounded values for the identified parameters. Compared with the traditional identification procedures where model-based forward dynamic analysis is often involved, computing bounded time history responses from a computational model with interval parameters is avoided. Two required submatrices are firstly extracted from identified state-space models by applying a subspace identification method to the measurements, and then interval analysis is performed upon these two matrices to estimate the bounded uncertainty in the identified parameters. The effectiveness of the proposed methodology is evaluated through numerical simulationof a linear multipleedegree-of-freedom (MDOF) system when modeling errors in the mass and damping parameters are taken into account. The results show the ability of the proposed method to maintain sharp enclosures of the identified stiffness parameters. © 2012 American Society of Civil Engineers.
Source Title: Journal of Engineering Mechanics
ISSN: 07339399
DOI: 10.1061/(ASCE)EM.1943-7889.0000433
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