Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Physica D - Special issue originating from the 18th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, NM, May 11&mdash ;15, 1998
Simulation and the Monte Carlo Method
Simulation and the Monte Carlo Method
Introduction to Stochastic Search and Optimization
Introduction to Stochastic Search and Optimization
Uncertainty propagation using Wiener-Haar expansions
Journal of Computational Physics
Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Identification of Bayesian posteriors for coefficients of chaos expansions
Journal of Computational Physics
Computers & Mathematics with Applications
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We are interested in constructing an uncertain computational model representing a family of structures and in identifying this model using a small number of experimental measurements of the first eigenfrequencies. The prior probability model of uncertainties is constructed using the generalized probabilistic approach of uncertainties which allows both system-parameters uncertainties and model uncertainties to be taken into account. The parameters of the prior probability model of uncertainties are separately identified for each type of uncertainties, yielding an optimal prior probability model. The optimal prior stochastic computational model allows a robust analysis for the family of structures to be carried out.