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)

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)

C. Soize, to JSV for USD Special Issue, revised version, 2004.

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

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

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

R. Ghanem and M. Pellissetti, Adaptive data refinement in the spectral stochastic finite element method, Communications in Numerical Methods in Engineering, vol.60, issue.4, pp.141-151, 2002.
DOI : 10.1002/cnm.476

R. Ghanem, Stochastic Finite Elements with Multiple Random Non-Gaussian Properties, Journal of Engineering Mechanics, vol.125, issue.1, pp.26-40, 1999.
DOI : 10.1061/(ASCE)0733-9399(1999)125:1(26)

C. Soize and R. Ghanem, Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure, SIAM Journal on Scientific Computing, vol.26, issue.2, 2003.
DOI : 10.1137/S1064827503424505

URL : https://hal.archives-ouvertes.fr/hal-00686211

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 Applied Mechanics and Engineering, vol.191, issue.8-10, pp.799-816, 2001.
DOI : 10.1016/S0045-7825(01)00290-0

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

R. Ohayon and C. Soize, Structural Acoustics and Vibration, Academic press, 1998.
DOI : 10.1121/1.1352086

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

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 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 and H. Chebli, Random Uncertainties Model in Dynamic Substructuring Using a Nonparametric Probabilistic Model, Journal of Engineering Mechanics, vol.129, issue.4, pp.449-457, 2003.
DOI : 10.1061/(ASCE)0733-9399(2003)129:4(449)

URL : https://hal.archives-ouvertes.fr/hal-00686215

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

E. Capiez-lernout and C. Soize, Nonparametric modeling of random uncertainties for dynamic response of mistuned bladed disks to JSV for USD Special Issue, revised version Oct, Journal of Engineering for Gas Turbines and Power, vol.5, pp.600-618, 2004.

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

J. Duchereau and C. Soize, Transient dynamics induced by shocks in stochastic structures Applications of Statistics an Probability in Civil Engineering, the Proceedings of ICASP9, pp.267-273, 2003.

H. Chebli and C. Soize, Experimental validation of a nonparametric probabilistic model of non homogeneous uncertainties for dynamical systems, Journal of the Acoustical Society of America, vol.115, issue.2, 2004.

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

C. Desceliers, C. Soize, and S. Cambier, Nonparametric-parametric model for random uncertainties in nonlinear structural dynamics ? Application to earthquake engineering, Earthquake Engineering and Structural Dynamics, pp.315-327, 2004.

C. Soize, Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, 2003.
DOI : 10.1016/j.cma.2004.06.038

URL : https://hal.archives-ouvertes.fr/hal-00686187

R. J. Serfling, Approximation Theorems of Mathematical Statistics, 1980.

O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 1989.

R. Dautray and J. Lions, Mathematical Analysis and Numerical Methods for Science and Technology, 1992.
DOI : 10.1007/978-3-642-61529-0

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

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

T. W. Anderson, Introduction to Multivariate Statistical Analysis, 1958.

D. Ewins, Modal Testing: Theory and Practice, Journal of Vibration Acoustics Stress and Reliability in Design, vol.108, issue.1, 1984.
DOI : 10.1115/1.3269294

K. Mcconnell, Vibration testing Theory and practice to JSV for USD Special Issue, revised version Oct, 1995.

R. Y. Rubinstein, Simulation and the Monte Carlo Method, 1981.

C. Soize, to JSV for USD Special Issue, revised version, 2004.