D. J. Ewins, The effects of detuning upon the forced vibrations of bladed disks, Journal of Sound and Vibration, vol.9, issue.1, pp.65-79, 1969.
DOI : 10.1016/0022-460X(69)90264-8

R. Ghanem and P. D. Spanos, Stochastic Finite Elements: A Spectral Approach, 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

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.1333-1366, 2005.
DOI : 10.1016/j.cma.2004.06.038
URL : https://hal.archives-ouvertes.fr/hal-00686187

C. Soize, G. Augusti, G. I. Schueller, and M. Ciampoli, Probabilistic Models for Computational Stochastic Mechanics and Applications, Proceedings of the 9th International Conference on Structural Safety and Reliability ICOSSAR'05, pp.23-42, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00687868

A. A. Muravyov, R. , and S. A. , Determination of nonlinear stiffness with application to random vibration of geometrically nonlinear structures, Computers & Structures, vol.81, issue.15, pp.1513-1523, 2003.
DOI : 10.1016/S0045-7949(03)00145-7

M. P. Mignolet, A. G. Radu, and X. Gao, Validation of Reduced Order Modeling for the Prediction of the Response and Fatigue Life of Panels Subjected to Thermo-Acoustic Effects, Proceedings of the 8th International Conference on Recent Advances in Structural Dynamics, pp.14-16, 2003.

A. Radu, G. Yang, B. Kim, K. Mignolet, and M. P. , Prediction of the Dynamic Response and Fatigue Life of Panels Subjected to Thermo-Acoustic Loading, 45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics & Materials Conference, 2004.
DOI : 10.2514/6.2004-1557

J. J. Hollkamp, R. W. Gordon, and S. M. Spottswood, Nonlinear modal models for sonic fatigue response prediction: a comparison of methods, Journal of Sound and Vibration, vol.284, issue.3-5, pp.3-5, 2005.
DOI : 10.1016/j.jsv.2004.08.036

Y. C. Fung and P. Tong, Classical and Computational Solid Mechanics, World Scientific, 2001.
DOI : 10.1142/4134

J. Bonet and R. D. Wood, Nonlinear Continuum Mechanics for Finite Element Analysis, 1997.
DOI : 10.1017/CBO9780511755446

L. Devroye, Non-Uniform Random Variate Generation, 1986.
DOI : 10.1007/978-1-4613-8643-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.333.8896

M. P. Mignolet and C. Soize, Nonparametric stochastic modeling of linear systems with prescribed variance of several natural frequencies, Probabilistic Engineering Mechanics
DOI : 10.1016/j.probengmech.2007.12.027
URL : https://hal.archives-ouvertes.fr/hal-00685147

C. Soize, Construction of probability distributions in high dimension using the maximum entropy principle: Applications to stochastic processes, random fields and random matrices, International Journal for Numerical Methods in Engineering, vol.195, issue.4
DOI : 10.1002/nme.2385
URL : https://hal.archives-ouvertes.fr/hal-00684517

K. Bathe, W. , and E. L. , Numerical Methods in Finite Element Analysis, 1976.