W. A. Benfield and R. F. Hruda, Vibration Analysis of Structures by Component Mode Substitution, AIAA Journal, vol.9, issue.7, pp.1255-1261, 1971.
DOI : 10.2514/3.49936

R. Bladh, M. P. Castanier, and C. Pierre, Component-Mode-Based Reduced Order Modeling Techniques for Mistuned Bladed Disks???Part I: Theoretical Models, Journal of Engineering for Gas Turbines and Power, vol.123, issue.1, pp.89-99, 2001.
DOI : 10.1115/1.1338947

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, 2005.
DOI : 10.1016/j.jsv.2006.01.056

URL : https://hal.archives-ouvertes.fr/hal-00686152

M. P. Castanier, G. Ottarson, and C. Pierre, A Reduced Order Modeling Technique for Mistuned Bladed Disks, Journal of Vibration and Acoustics, vol.119, issue.3, pp.439-447, 1997.
DOI : 10.1115/1.2889743

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

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

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

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

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

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

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

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

J. Durand, L. Gagliardini, and C. Soize, Nonparametric modeling of the variability of vehicle vibroacoustic behavior. SAE Noise and Vibration Conference and Exhibition, Traverse City, pp.16-19, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00689033

C. Duval, V. Guyonvarh, V. Louche, J. Pigat, and F. Waeckel, Estimation methods for seismic behavior of a PWR primary system, Proceedings of 5th National colloque AFPS, pp.19-21, 1999.

R. C. Dye and T. A. Henry, Vibration Amplitudes of Compressor Blades Resulting From Scatter in Blade Natural Frequencies, Journal of Engineering for Gas Turbines and Power, vol.91, issue.3, pp.182-187, 1969.
DOI : 10.1115/1.3574726

D. J. Ewins, The effects of detuning upon the forced vibrations of bladed disks, Journal of Sound and Vibration, vol.9, issue.1, pp.65-69, 1969.
DOI : 10.1016/0022-460X(69)90264-8

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

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

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

J. H. Griffin and T. M. Hoosac, Model Development and Statistical Investigation of Turbine Blade Mistuning, Journal of Vibration Acoustics Stress and Reliability in Design, vol.106, issue.2, pp.204-210, 1984.
DOI : 10.1115/1.3269170

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

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

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

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

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)

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

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

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

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

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

C. Lin and M. P. Mignolet, An Adaptive Perturbation Scheme for the Analysis of Mistuned Bladed Disks, Journal of Engineering for Gas Turbines and Power, vol.119, issue.1, pp.153-160, 1997.
DOI : 10.1115/1.2815540

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

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

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

M. P. Mignolet, C. Lin, and B. H. Laborde, A Novel Limit Distribution for the Analysis of Randomly Mistuned Bladed Disks, Journal of Engineering for Gas Turbines and Power, vol.123, issue.2, pp.388-394, 2001.
DOI : 10.1115/1.1339001

R. Ohayon and C. Soize, Structural Acoustics and Vibration, The Journal of the Acoustical Society of America, vol.109, issue.6, 1998.
DOI : 10.1121/1.1352086

URL : https://hal.archives-ouvertes.fr/hal-00689039

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

E. P. Petrov, K. Y. Sanliturk, and D. J. Ewins, A New Method for Dynamic Analysis of Mistuned Bladed Disks Based on the Exact Relationship Between Tuned and Mistuned Systems, Journal of Engineering for Gas Turbines and Power, vol.124, issue.3, pp.586-597, 2002.
DOI : 10.1115/1.1451753

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

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

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

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

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

E. Seinturier, C. Dupont, M. Berthillier, and M. Dumas, A New Aeroelastic Model For Mistuned Bladed Disks, 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2002.
DOI : 10.2514/6.2002-1533

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

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

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)

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)

A. Sinha and S. Chen, A higher order technique to compute the statistics of forced response of a mistuned bladed disk assembly, Journal of Sound and Vibration, vol.130, issue.2, pp.207-221, 1989.
DOI : 10.1016/0022-460X(89)90550-6

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, 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, 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

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. 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, 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-field model for the elasticity tensor of anisotropic random media, Comptes Rendus de l'Académie des Sciences -Mécanique, pp.1007-1012, 2004.
DOI : 10.1016/j.crme.2004.09.008

URL : https://hal.archives-ouvertes.fr/hal-00686196

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. 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. Soize, Non Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators, Computer Methods in Applied Mechanics an Engineering, 2005.

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 and R. Ghanem, Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure, SIAM Journal on Scientific Computing, vol.26, issue.2, pp.395-410, 2004.
DOI : 10.1137/S1064827503424505

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

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-00686214

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)

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)

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

D. L. Thomas, Dynamics of rotationally periodic structures, International Journal for Numerical Methods in Engineering, vol.57, issue.1, pp.81-102, 1979.
DOI : 10.1002/nme.1620140107

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)

D. S. Whitehead, Effect of mistuning on the vibration of turbo???machine blades induced by wakes, ARCHIVE: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23), vol.8, issue.1, pp.15-21, 1966.
DOI : 10.1243/JMES_JOUR_1966_008_004_02