E. Capiez-lernout, C. Soize, and M. Mignolet, Computational stochastic statics of an uncertain curved structure with geometrical nonlinearity in three-dimensional elasticity, Computational Mechanics, vol.49, issue.1, pp.87-97, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00684289

E. Capiez-lernout, C. Soize, and M. Mignolet, Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation, Computer Methods in Applied Mechanics and Engineering, vol.271, pp.210-230, 2014.
DOI : 10.1016/j.cma.2013.12.011
URL : https://hal.archives-ouvertes.fr/hal-00922708

E. Capiez-lernout, C. Soize, and M. Mbaye, Mistuning analysis and uncertainty quantification of an industrial bladed disk with geometrical nonlinearity, Journal of Sound and Vibration, vol.356, issue.11, pp.124-143, 2015.
DOI : 10.1016/j.jsv.2015.07.006
URL : https://hal.archives-ouvertes.fr/hal-01183415

E. Capiez-lernout and C. Soize, An improvement of the uncertainty quantification in computational structural dynamics with nonlinear geometrical effects, International journal for Uncertainty Quantification, vol.7, issue.1, pp.83-98, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01465405

C. Farhat, P. Avery, T. Chapman, and J. Cortial, Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency, International Journal for Numerical Methods in Engineering, vol.98, issue.9, pp.625-662, 2014.
DOI : 10.1002/nme.4668

C. Farhat, A. Bos, P. Avery, and C. Soize, Modeling and quantification of model-form uncertainties in eigenvalue computations using a stochastic reduced model, AIAA Journal, vol.56, issue.3, pp.1198-1210, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01625205

A. K. Gaonkar and S. S. Kulkami, Model order reduction for dynamic simulation of beams with forcing and geometric nonlinearities Finite Elements in Analysis and Design, vol.76, pp.50-62, 2013.

M. Mignolet, A. Przekop, S. A. Rizzi, and M. S. Spottswood, A review of indirect/nonintrusive reduced-order modeling of nonlinear geometric structures, Journal of Sound and Vibration, vol.332, issue.10, pp.2437-2460, 2013.

M. Mignolet and C. Soize, Stochastic reduced-order models for uncertain geometrically nonlinear dynamical systems, Computer Methods in Applied Mechanics and Engineering, vol.197, pp.3951-3963, 2008.
DOI : 10.1016/j.cma.2008.03.032
URL : https://hal.archives-ouvertes.fr/hal-00686140

A. A. Muryavov and S. A. Rizzi, Determination of nonlinear stiffness with application to random vibration of geometrically nonlinear structures, Computers and Structures, vol.81, pp.1513-1523, 2003.

L. Sirovich, Turbulence and the dynamics of coherent structures, Quarterly of Applied Mathematics, vol.45, issue.3, pp.561-571, 1987.
DOI : 10.1090/qam/910462
URL : http://www.ams.org/qam/1987-45-03/S0033-569X-1987-0910462-6/S0033-569X-1987-0910462-6.pdf

C. Soize, Stochastic Models of Uncertainties in Computational Mechanics, Lecture Notes in Engineering Mechanics, vol.2, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00749201

C. Soize and C. Farhat, A nonparametric probabiistic approach for quantifying uncertainties in lowdimensional and high-dimensional nonlinear models, International Journal for Numerical Methods in Engineering, vol.109, issue.6, pp.837-888, 2017.
DOI : 10.1002/nme.5312
URL : https://hal-upec-upem.archives-ouvertes.fr/hal-01353194/document