S. Wei and C. Pierre, Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry Part II: Forced Vibrations, Journal of Vibration Acoustics Stress and Reliability in Design, vol.110, issue.4, pp.439-449, 1988.
DOI : 10.1115/1.3269548

R. Bladh, M. 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

M. Mbaye, C. Soize, and J. Ousty, A Reduced-Order Model of Detuned Cyclic Dynamical Systems With Geometric Modifications Using a Basis of Cyclic Modes, Journal of Engineering for Gas Turbines and Power, vol.132, issue.11, 2010.
DOI : 10.1115/1.4000805

URL : https://hal.archives-ouvertes.fr/hal-00684307

A. Rivas-guerra, M. Mignolet, and J. Delor, Identification of Mistuning Characteristics of Bladed Disks From Free Response Data??? Part II, Journal of Engineering for Gas Turbines and Power, vol.123, issue.2, pp.404-411, 2001.
DOI : 10.1115/1.1338950

M. Mbaye, C. Soize, J. Ousty, and E. Capiez-lernout, Robust Analysis of Design in Vibration of Turbomachines, ASME Journal of Turbomachinery, vol.135, issue.2, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00684506

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.610-618, 2004.
DOI : 10.1115/1.1760527

URL : https://hal.archives-ouvertes.fr/hal-00686199

A. F. Vakakis, Dynamics of a nonlinear periodic structure with cyclic symmetry, Acta Mechanica, vol.47, issue.10, pp.197-226, 1992.
DOI : 10.1007/BF01170813

A. Grolet and F. Thouverez, Vibration analysis of a nonlinear system with cyclic symmetry, ASME Journal of Engineering for Gas Turbines and Power, vol.133, issue.2, 2011.

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

URL : https://hal.archives-ouvertes.fr/hal-00922708

M. Mignolet, A. Przekop, S. A. Rizzi, and M. S. Spottswood, A review of indirect/non-intrusive reduced order modeling of nonlinear geometric structures, Journal of Sound and Vibration, vol.332, issue.10, pp.2437-2460, 2013.
DOI : 10.1016/j.jsv.2012.10.017

C. Soize, Stochastic Models of Uncertainties in Computational Mechanics, Lecture Notes in Engineering MechanicsASCE), vol.2, 2012.
DOI : 10.1061/9780784412237

URL : https://hal.archives-ouvertes.fr/hal-00749201

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

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

A. A. Muryavov and S. A. Rizzi, 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

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, pp.87-97, 2012.

M. 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.3951-3963, 2008.
DOI : 10.1016/j.cma.2008.03.032

URL : https://hal.archives-ouvertes.fr/hal-00686140

C. Soize, Medium frequency linear vibrations of anisotropic elastic structures., La recherche aérospatiale (english version, pp.65-87, 1982.
URL : https://hal.archives-ouvertes.fr/hal-00770395

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

A. Bossavit, Boundary Value Problems with Symmetry and Their Approximation by Finite Elements, SIAM Journal on Applied Mathematics, vol.53, issue.5, pp.1352-1380, 1993.
DOI : 10.1137/0153064