Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Introduction to Stochastic Search and Optimization
Introduction to Stochastic Search and Optimization
Information Theory, Inference & Learning Algorithms
Information Theory, Inference & Learning Algorithms
Inverse Problem Theory and Methods for Model Parameter Estimation
Inverse Problem Theory and Methods for Model Parameter Estimation
On the treatment of uncertainties in structural mechanics and analysis
Computers and Structures
Stochastic spectral methods for efficient Bayesian solution of inverse problems
Journal of Computational Physics
Journal of Computational Physics
Computers and Structures
An Online Method for Interpolating Linear Parametric Reduced-Order Models
SIAM Journal on Scientific Computing
Computers & Mathematics with Applications
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The paper is devoted to the modeling and identification of uncertainties in computational structural dynamics for low-and medium-frequency ranges. A complete methodology is presented for the identification procedure. The first eigenfrequencies are used to quantify the uncertainties in the low-frequency band while the frequency response functions are used to quantify the uncertainties in the medium-frequency band. The system-parameter uncertainties are taken into account with the parametric probabilistic approach. The model uncertainties are taken into account with the nonparametric probabilistic approach. The posterior stochastic model of system-parameter uncertainties is identified using the Bayes method.