R. Ghanem and P. D. Spanos, Stochastic Finite Elements : A Spectral Approach, NewYork, 1991.
DOI : 10.1007/978-1-4612-3094-6

C. Soize, A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000.
DOI : 10.1016/S0266-8920(99)00028-4
URL : https://hal.archives-ouvertes.fr/hal-00686293

R. Mace, W. Worden, and G. Manson, Uncertainty in structural dynamics, J. Sound Vib, vol.288, issue.3, pp.431-790, 2005.

G. I. Schueller, Computational methods in stochastic mechanics and reliability analysis, Comput. Methods Appl. Mech. Engrg, vol.194, pp.12-16, 2005.

C. Soize, Stochastic Models of Uncertainties in Computational Mechanics, ASCE)
DOI : 10.1061/9780784412237
URL : https://hal.archives-ouvertes.fr/hal-00749201

C. Soize and I. E. Poloskov, Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation, Computers & Mathematics with Applications, vol.64, issue.11, pp.3594-3612, 2012.
DOI : 10.1016/j.camwa.2012.09.010
URL : https://hal.archives-ouvertes.fr/hal-00746280

R. Ohayon and C. Soize, Advanced Computational Vibroacoustics, 2014.
DOI : 10.1017/CBO9781107785328
URL : https://hal.archives-ouvertes.fr/hal-01162161

C. Soize, Stochastic modeling of uncertainties in computational structural dynamics???Recent theoretical advances, Journal of Sound and Vibration, vol.332, issue.10, pp.2379-2395, 2013.
DOI : 10.1016/j.jsv.2011.10.010
URL : https://hal.archives-ouvertes.fr/hal-00743699

C. Desceliers, C. Soize, and S. Cambier, Non-parametric???parametric model for random uncertainties in non-linear structural dynamics: application to earthquake engineering, Earthquake Engineering & Structural Dynamics, vol.33, issue.3, pp.315-327, 2004.
DOI : 10.1002/eqe.352
URL : https://hal.archives-ouvertes.fr/hal-00686208

M. Arnst, D. Clouteau, H. Chebli, R. Othman, and G. Degrande, A nonparametric probabilistic model for ground-borne vibrations in buildings, Probabilistic Engineering Mechanics, vol.21, p.1834, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00018949

E. Capiez-lernout, M. Pellissitti, H. Pradlwarter, G. I. Schueller, and C. Soize, Data and model uncertainties in complex aerospace engineering systems, Journal of Sound and Vibration, vol.295, issue.3-5, pp.3-5, 2006.
DOI : 10.1016/j.jsv.2006.01.056
URL : https://hal.archives-ouvertes.fr/hal-00686152

C. Chen, D. Duhamel, and C. Soize, Probabilistic approach for model and data uncertainties and its experimental identification in structural dynamics: Case of composite sandwich panels, Journal of Sound and Vibration, vol.294, issue.1-2, pp.64-81, 2006.
DOI : 10.1016/j.jsv.2005.10.013
URL : https://hal.archives-ouvertes.fr/hal-00686153

J. Durand, C. Soize, and L. Gagliardini, Structural-acoustic modeling of automotive vehicles in presence of uncertainties and experimental identification and validation, The Journal of the Acoustical Society of America, vol.124, issue.3, pp.1513-1525, 2008.
DOI : 10.1121/1.2953316
URL : https://hal.archives-ouvertes.fr/hal-00685108

M. P. Mignolet and C. Soize, Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.45-48, pp.45-48, 2008.
DOI : 10.1016/j.cma.2008.03.032
URL : https://hal.archives-ouvertes.fr/hal-00686140

C. Desceliers, G. Bonnet, S. Hamza, and P. Delmotte, Mixed nonparametric???parametric probabilistic model for earthquake reliability of an inelastic reinforced concrete frame structure, Bulletin of Earthquake Engineering, vol.96, issue.12, pp.921-935, 2010.
DOI : 10.1007/s10518-009-9166-x
URL : https://hal.archives-ouvertes.fr/hal-00750183

A. Batou, C. Soize, and M. Corus, Experimental identification of an uncertain computational dynamical model representing a family of structures, Computers & Structures, vol.89, issue.13-14, pp.13-14, 2011.
DOI : 10.1016/j.compstruc.2011.03.004
URL : https://hal.archives-ouvertes.fr/hal-00684292

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.197, issue.7, pp.87-97, 2012.
DOI : 10.1007/s00466-011-0629-y
URL : https://hal.archives-ouvertes.fr/hal-00684289

R. Murthy, X. Q. Wang, R. Perez, M. P. Mignolet, and L. A. Richter, Uncertaintybased experimental validation of nonlinear reduced order models, J. Sound Vib, pp.331-1097, 2012.

M. P. Mignolet, C. Soize, and J. Avalos, Nonparametric Stochastic Modeling of Structures with Uncertain Boundary Conditions/Coupling Between Substructures, AIAA Journal, vol.51, issue.6, pp.1296-1308, 2013.
DOI : 10.2514/1.J051555
URL : https://hal.archives-ouvertes.fr/hal-00686147

A. Batou, C. Soize, and S. Audebert, Model identification in computational stochastic dynamics using experimental modal data, Mechanical Systems and Signal Processing, pp.50-51, 2014.

E. Capiez-lernout, C. Soize, and M. P. Mignolet, Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation, Computer Methods in Applied Mechanics and Engineering, vol.271, issue.1, pp.210-230, 2014.
DOI : 10.1016/j.cma.2013.12.011
URL : https://hal.archives-ouvertes.fr/hal-00922708

R. M. Christensen, Theory of Viscoelasticity, Journal of Applied Mechanics, vol.38, issue.3, 1982.
DOI : 10.1115/1.3408900

C. Soize and R. Ohayon, Structural Acoustics and Vibration, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00689039

H. A. Kramers, La diffusion de la lumiere par les atomes, Atti Cong, Transactions of Volta Centenary Congress) Como, pp.545-557, 1927.

R. D. Kronig, On the Theory of Dispersion of X-Rays, Journal of the Optical Society of America, vol.12, issue.6, pp.547-557, 1926.
DOI : 10.1364/JOSA.12.000547

A. Papoulis, Signal Analysis, 1977.

R. Y. Rubinstein, Simulations and the Monte Carlo Methods, 1981.

W. Gautschi, Gauss-type Quadrature Rules for Rational Functions, Internat. Ser. Numer. Math, vol.112, pp.111-130, 1993.
DOI : 10.1007/978-3-0348-6338-4_9

W. Gautschi, The use of rational functions in numerical quadrature, Journal of Computational and Applied Mathematics, vol.133, issue.1-2, pp.111-126, 2002.
DOI : 10.1016/S0377-0427(00)00637-3

W. Gautschi, Orthogonal polynomials and special Functions, Orthogonal Polynomials, Quadrature, and Approximation: Computational Methods and Software (in Matlab), pp.1-77, 2006.

C. Soize and C. Desceliers, Computational Aspects for Constructing Realizations of Polynomial Chaos in High Dimension, SIAM Journal on Scientific Computing, vol.32, issue.5, pp.2820-2831, 2010.
DOI : 10.1137/100787830
URL : https://hal.archives-ouvertes.fr/hal-00684323

G. Perrin, C. Soize, D. Duhamel, and C. Funfschilling, Identification of Polynomial Chaos Representations in High Dimension from a Set of Realizations, SIAM Journal on Scientific Computing, vol.34, issue.6, pp.2917-2945, 2012.
DOI : 10.1137/11084950X
URL : https://hal.archives-ouvertes.fr/hal-00770006

K. J. Bathe, Finite Element Procedures, 1996.

O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method Set, 2005.

H. J. Pradlwarter and G. I. Schueller, On advanced Monte Carlo simulation procedures in stochastic structural dynamics, International Journal of Non-Linear Mechanics, vol.32, issue.4, pp.735-744, 1997.
DOI : 10.1016/S0020-7462(96)00091-1