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TECHNICAL PAPERS

Bayesian Model Screening for the Identification of Nonlinear Mechanical Structures

[+] Author and Article Information
Gaëtan Kerschen, Jean-Claude Golinval

Vibrations & Identification des Structures, Department of Aerospace, Mechanics and Materials, University of Liège, Chemin des Chevreuils 1 (B52), B-4000 Liege, Belgium

François M. Hemez

Engineering Science & Applications Division, ESA-WR, Mail Stop P946, Los Alamos National Laboratory, Los Alamos, New Mexico 87545e-mail: hemez@lanl.gov

J. Vib. Acoust 125(3), 389-397 (Jun 18, 2003) (9 pages) doi:10.1115/1.1569947 History: Received May 01, 2002; Revised January 01, 2003; Online June 18, 2003
Copyright © 2003 by ASME
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References

Figures

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Concept of “family” of models
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Simplified flow chart of the Bayesian model screening algorithm
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Concept of random walk optimization
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Illustration of MCMC and Gibbs random walk sampling strategies
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Simulated non-linear function (13)
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Marginal posterior probability of each effect included in the family of models
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Estimation of the restoring force at the four levels 0.5 Volt, 2.0 Volt, 4.0 Volt and 8.0 Volt
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Evolution of the MSE as a function of the non-linearity exponent α
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Marginal posterior probability of each effect included in the family of models
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Comparison between measured and predicted restoring forces (4 Volt level)

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