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Updating nonlinear dynamical models using response measurements only
Yuen K.-V.1; Beck J.L.2
2003-12-01
Source PublicationProceedings of the ASME Design Engineering Technical Conference
Volume5 B
Pages1593-1600
AbstractA spectral density approach for the identification of linear systems is extended to nonlinear dynamical systems using only incomplete noisy response measurements. A stochastic model is used for the uncertain input and a Bayesian probabilistic approach is used to update the uncertainties in the model parameters. The proposed spectral-based approach utilizes important statistical properties of the Fast Fourier Transform and their robustness with respect to the probability distribution of the response signal in order to calculate the updated probability density function for the parameters of a nonlinear model conditional on the measured response. This probabilistic approach is well suited for the identification of nonlinear systems and does not require huge amounts of dynamic data. The formulation is presented directly for multiple-degree-of freedom systems. Examples using simulated data for a Duffing oscillator and a four-DOF inelastic structure are presented to illustrate the proposed approach.
URLView the original
Language英語English
Fulltext Access
Document TypeConference paper
CollectionUniversity of Macau
Affiliation1.Universidade de Macau
2.California Institute of Technology
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Yuen K.-V.,Beck J.L.. Updating nonlinear dynamical models using response measurements only[C], 2003, 1593-1600.
APA Yuen K.-V.., & Beck J.L. (2003). Updating nonlinear dynamical models using response measurements only. Proceedings of the ASME Design Engineering Technical Conference, 5 B, 1593-1600.
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