M. Shinozuka and C. J. Astill, Random eigenvalue problems in structural analysis, AIAA Journal, vol.10, issue.4, pp.456-462, 1972.

P. C. Chen and W. W. Soroka, Multi-degree dynamic response of a system with statistical properties, Journal of Sound and Vibration, vol.37, issue.4, pp.547-556, 1973.
DOI : 10.1016/S0022-460X(74)80033-7

P. H. Prasthofer and C. W. Beadle, Dynamic response of structures with statistical uncertainties in their stiffnesses, Journal of Sound and Vibration, vol.42, issue.4, pp.477-493, 1975.
DOI : 10.1016/0022-460X(75)90278-3

E. J. Haug, K. K. Choi, and V. Komkov, Design Sensitivity Analysis of Structural Systems, 1986.

R. A. Ibrahim, Structural Dynamics with Parameter Uncertainties, Applied Mechanics Reviews, vol.40, issue.3, pp.309-328, 1987.
DOI : 10.1115/1.3149532

Z. Kotulski and K. Sobczyk, Effects of parameter uncertainty on the response of vibratory systems to random excitation, Journal of Sound and Vibration, vol.119, issue.1, pp.159-171, 1987.
DOI : 10.1016/0022-460X(87)90195-7

M. Shinozuka, Structural Response Variability, Journal of Engineering Mechanics, vol.113, issue.6, pp.825-842, 1987.
DOI : 10.1061/(ASCE)0733-9399(1987)113:6(825)

H. Jensen and W. D. Iwan, Response of Systems with Uncertain Parameters to Stochastic Excitation, Journal of Engineering Mechanics, vol.118, issue.5, pp.1012-1025, 1992.
DOI : 10.1061/(ASCE)0733-9399(1992)118:5(1012)

W. D. Iwan and H. Jensen, On the Dynamic Response of Continuous Systems Including Model Uncertainty, Journal of Applied Mechanics, vol.60, issue.2, pp.484-490, 1993.
DOI : 10.1115/1.2900819

C. Lee and R. Singh, Analysis Of Discrete Vibratory Systems With Parameter Uncertainties, Part II: Impulse Response, Journal of Sound and Vibration, vol.174, issue.3, pp.395-412, 1994.
DOI : 10.1006/jsvi.1994.1283

C. Papadimitriou, L. S. Katafygiotis, and J. L. Beck, Approximate analysis of response variability of uncertain linear systems, Probabilistic Engineering Mechanics, vol.10, issue.4, pp.251-264, 1995.
DOI : 10.1016/0266-8920(95)00020-8

Y. K. Lin and G. Q. Cai, Probabilistic Structural Dynamics, 1995.

R. C. Micaletti, A. S. Cakmak, S. R. Nielsen, and H. U. Koyluglu, A solution method for linear and geometrically nonlinear MDOF systems with random properties subject to random excitation, Probabilistic Engineering Mechanics, vol.13, issue.2, pp.85-95, 1998.
DOI : 10.1016/S0266-8920(97)00012-X

G. I. Schuëller, A state-of-the-art report on computational stochastic mechanics, Probabilistic Engineering Mechanics, vol.12, issue.4, pp.197-321, 1997.
DOI : 10.1016/S0266-8920(97)00003-9

M. P. Mignolet and W. Hu, Direct Prediction of the Effects of Mistuning on the Forced Response of Bladed Disks, Journal of Engineering for Gas Turbines and Power, vol.120, issue.3, pp.626-634, 1998.
DOI : 10.1115/1.2818192

E. Vanmarcke and M. Grigoriu, Stochastic Finite Element Analysis of Simple Beams, Journal of Engineering Mechanics, vol.109, issue.5, pp.1203-1214, 1983.
DOI : 10.1061/(ASCE)0733-9399(1983)109:5(1203)

W. K. Liu, T. Belytschko, and A. Mani, Random field finite elements, International Journal for Numerical Methods in Engineering, vol.93, issue.5, pp.1832-1845, 1986.
DOI : 10.1002/nme.1620231004

M. Shinozuka and G. Deodatis, Response Variability Of Stochastic Finite Element Systems, Journal of Engineering Mechanics, vol.114, issue.3, pp.499-519, 1988.
DOI : 10.1061/(ASCE)0733-9399(1988)114:3(499)

P. D. Spanos and R. G. Ghanem, Stochastic Finite Element Expansion for Random Media, Journal of Engineering Mechanics, vol.115, issue.5, pp.1035-1053, 1989.
DOI : 10.1061/(ASCE)0733-9399(1989)115:5(1035)

M. Kleiber, D. H. Tran, and T. D. Hien, The Stochastic Finite Element Method, 1992.

P. D. Spanos and B. A. Zeldin, Galerkin Sampling Method for Stochastic Mechanics Problems, Journal of Engineering Mechanics, vol.120, issue.5, pp.1091-1106, 1994.
DOI : 10.1061/(ASCE)0733-9399(1994)120:5(1091)

O. Ditlevsen and N. J. Tarp-johansen, Choice of input fields in stochastic finite elements, Probabilistic Engineering Mechanics, vol.14, issue.1-2, pp.63-72, 1998.
DOI : 10.1016/S0266-8920(98)00016-2

T. Hien and M. Kleiber, Stochastic finite element modelling in linear transient heat transfer, Computer Methods in Applied Mechanics and Engineering, vol.144, issue.1-2, pp.111-124, 1997.
DOI : 10.1016/S0045-7825(96)01168-1

R. Ghanem and S. Dham, Stochastic finite element analysis for multiphase flow in heterogeneous porous media, Transport in Porous Media, pp.239-262, 1998.

R. Ghanem, Ingredients for a general purpose stochastic finite elements implementation, Computer Methods in Applied Mechanics and Engineering, vol.168, issue.1-4, pp.19-34, 1999.
DOI : 10.1016/S0045-7825(98)00106-6

G. S. Székely and G. I. Schuëller, Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties, Computer Methods in 17ème17`17ème Congrès Français de Mécanique Troyes, 2001.
DOI : 10.1016/S0045-7825(01)00290-0

L. Ma??trema??tre, O. P. Knio, O. M. Najm, H. N. Ghanem, and R. , A stochastic projection method for fluid flow. I. Basic formulation, Journal of computational Physics, vol.173, pp.481-511, 2001.

L. Ma??trema??tre, O. P. Knio, O. M. Najm, H. N. Ghanem, and R. , A Stochastic Projection Method for Fluid Flow, Journal of Computational Physics, vol.181, issue.1, pp.9-44, 2002.
DOI : 10.1006/jcph.2002.7104

H. J. Pradlwarter, G. I. Schuëller, and G. S. Szekely, Random eigenvalue problems for large systems, Computers & Structures, vol.80, issue.27-30, pp.2415-2424, 2002.
DOI : 10.1016/S0045-7949(02)00237-7

G. I. Schuëller, H. J. Pradlwarter, and C. A. Schenk, Non-stationary response of large linear FE models under stochastic loading, Computers & Structures, vol.81, issue.8-11, pp.937-947, 2003.
DOI : 10.1016/S0045-7949(02)00473-X

C. A. Schenk and G. I. Schuëller, Buckling analysis of cylindrical shells with random geometric imperfections, International Journal of Non-Linear Mechanics, vol.38, issue.7, pp.1119-1132, 2003.
DOI : 10.1016/S0020-7462(02)00057-4

C. Soize, A Nonparametric model of random uncertainties in linear structural dynamics, pp.109-138, 1999.
URL : https://hal.archives-ouvertes.fr/hal-00773301

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

C. Soize, Maximum entropy approach for modeling random uncertainties in transient elastodynamics, The Journal of the Acoustical Society of America, vol.109, issue.5, pp.1979-1996, 2001.
DOI : 10.1121/1.1360716
URL : https://hal.archives-ouvertes.fr/hal-00686287

C. Soize, Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-161333, 2005.
DOI : 10.1016/j.cma.2004.06.038
URL : https://hal.archives-ouvertes.fr/hal-00686187

C. E. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

E. T. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.620-630, 1957.
DOI : 10.1103/PhysRev.106.620

C. Soize, Transient responses of dynamical systems with random uncertainties, Probabilistic Engineering Mechanics, vol.16, issue.4, pp.363-372, 2001.
DOI : 10.1016/S0266-8920(01)00026-1
URL : https://hal.archives-ouvertes.fr/hal-00686285

H. Chebli and C. Soize, Experimental validation of a nonparametric probabilistic model of nonhomogeneous uncertainties for dynamical systems, The Journal of the Acoustical Society of America, vol.115, issue.2, pp.697-705, 2004.
DOI : 10.1121/1.1639335
URL : https://hal.archives-ouvertes.fr/hal-00686209

J. Duchereau and C. Soize, Transient dynamics in structures with nonhomogeneous uncertainties induced by complex joints. Mechanical Systems and Signal Processing, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00686155

C. Soize, A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics, Journal of Sound and Vibration, vol.288, issue.3, 2005.
DOI : 10.1016/j.jsv.2005.07.009
URL : https://hal.archives-ouvertes.fr/hal-00686182

C. Chen, D. Duhamel, and C. Soize, Uncertainties in structural dynamics for composite sandwich panels, Proceedings of ISMA 2004, the International Conference on Noise and Vibration Engineering, pp.2995-3008, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00686190

C. Soize, Uncertain Dynamical Systems in the Medium-Frequency Range, Journal of Engineering Mechanics, vol.129, issue.9, pp.1017-1027, 2003.
DOI : 10.1061/(ASCE)0733-9399(2003)129:9(1017)
URL : https://hal.archives-ouvertes.fr/hal-00686212

C. Soize, Random matrix theory and non-parametric model of random uncertainties in vibration analysis, Journal of Sound and Vibration, vol.263, issue.4, pp.893-916, 2003.
DOI : 10.1016/S0022-460X(02)01170-7
URL : https://hal.archives-ouvertes.fr/hal-00686213

C. Soize, Nonlinear dynamical systems with nonparametric model of random uncertainties Uncertainties in Engineering Mechanics (e-journal from Resonance Publication, resonance-pub.com), vol.1, issue.1, pp.1-38, 2001.

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

E. Capiez-lernout and C. Soize, Nonparametric Modeling of Random Uncertainties for Dynamic Response of Mistuned Bladed Disks, Journal of Engineering for Gas Turbines and Power, vol.126, issue.3, pp.600-618, 2004.
DOI : 10.1115/1.1760527
URL : https://hal.archives-ouvertes.fr/hal-00686199

E. Capiez-lernout, C. Soize, J. Lombard, C. Dupont, and E. Seinturier, Blade manufacturing tolerances definition for a mistuned industrial bladed disk, Journal of Engineering for Gas Turbines and Power, vol.127, issue.2, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00688121

E. Capiez-lernout, M. Pellissetti, H. Pradlwarter, G. I. Schuëller, and C. Soize, Data and model uncertainties in complex aerospace engineering systems, Journal of Sound and Vibration, vol.295, issue.3-5, 2004.
DOI : 10.1016/j.jsv.2006.01.056
URL : https://hal.archives-ouvertes.fr/hal-00686152

J. Durand, L. Gagliardini, and C. Soize, Random uncertainties for vibroacoustic frequency response functions of cars, Proceedings of ISMA 2004, the International Conference on Noise and Vibration Engineering, pp.3255-3266, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00686191

C. Soize, Reduced models in the medium frequency range for general dissipative structural-dynamics systems, European Journal of Mechanics - A/Solids, vol.17, issue.4, pp.657-685, 1998.
DOI : 10.1016/S0997-7538(99)80027-8
URL : https://hal.archives-ouvertes.fr/hal-00765806

C. Soize, Reduced models in the medium-frequency range for general external structural-acoustic systems, The Journal of the Acoustical Society of America, vol.103, issue.6, pp.3393-3406, 1998.
DOI : 10.1121/1.423052

C. Soize, Reduced models for structures in the medium-frequency range coupled with internal acoustic cavities, The Journal of the Acoustical Society of America, vol.106, issue.6, pp.3362-3374, 1999.
DOI : 10.1121/1.428190
URL : https://hal.archives-ouvertes.fr/hal-00765795

C. Soize and S. Mziou, Dynamic Substructuring in the Medium-Frequency Range, AIAA Journal, vol.41, issue.6, pp.1113-1118, 2003.
DOI : 10.2514/2.2052
URL : https://hal.archives-ouvertes.fr/hal-00686291

R. Ghanem and A. Sarkar, Reduced models for the medium-frequency dynamics of stochastic systems, The Journal of the Acoustical Society of America, vol.113, issue.2, pp.834-846, 2003.
DOI : 10.1121/1.1538246

M. L. Mehta, Random Matrices. Revised and Enlarged Second Edition, 1991.

M. Pellissitti, E. Capiez-lernout, H. Pradlwarter, G. I. Schuëller, and C. Soize, Large finite element systems with random uncertainties, Proceedings 6th International Conference on Structural Dynamics EURODYN 2005, pp.4-7, 2005.

R. R. Craig and M. M. Bampton, Coupling of substructures for dynamical analysis, AIAA Journal, vol.6, pp.1313-1319, 1968.