J. W. Hutchinson, Buckling and Initial Postbuckling Behavior of Oval Cylindrical Shells Under Axial Compression, Journal of Applied Mechanics, vol.35, issue.1, pp.66-76, 1968.
DOI : 10.1115/1.3601175

R. C. Tennyson and K. C. Chan, Buckling of imperfect sandwich cylinders under axial compression, International Journal of Solids and Structures, vol.26, issue.9-10, pp.1017-1036, 1990.
DOI : 10.1016/0020-7683(90)90015-N

P. Mandal and R. Calladine, Buckling of thin cylindrical shells under axial compression, International Journal of Solids and Structures, vol.37, issue.33, pp.4509-4525, 2000.
DOI : 10.1016/S0020-7683(99)00160-2

H. Huang and Q. Han, Research on nonlinear postbuckling of functionally graded cylindrical shells under radial loads, Composite Structures, vol.92, issue.6, pp.1352-1357, 2010.
DOI : 10.1016/j.compstruct.2009.11.016

L. Chen and J. M. Rotter, Buckling of anchored cylindrical shells of uniform thickness under wind load, Engineering Structures, vol.41, pp.199-208, 2012.
DOI : 10.1016/j.engstruct.2012.03.046

S. Matsuura, H. Nakamura, K. Kokubo, S. Ogiso, and H. Ohtsubo, Shear-bending buckling analyses of fast breeder reactor main vessels, Nuclear Engineering and Design, vol.153, issue.2-3, pp.305-317, 1995.
DOI : 10.1016/0029-5493(95)90021-7

J. Okada, K. Iwata, K. Tsukimori, and T. Nagata, An evaluation method for elastic-plastic buckling of cylindrical shells under shear forces, Nuclear Engineering and Design, vol.157, issue.1-2, pp.65-79, 1995.
DOI : 10.1016/0029-5493(95)00985-L

G. Michel, A. Combescure, and J. Jullien, Finite element simulation of dynamic buckling of cylinders subjected to periodic shear. Thin-Walled Structures, pp.111-135, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00450331

G. Michel, A. Limam, and J. Jullien, Buckling of cylindrical shells under static and dynamic shear loading, Engineering Structures, vol.22, issue.5, pp.535-543, 2000.
DOI : 10.1016/S0141-0296(98)00132-1

W. Schneider and Y. Ribakov, Collapse analysis of thin walled cylindrical steel shells subjected to constant shear stress, Computers & Structures, vol.82, issue.29-30, pp.29-302463, 2004.
DOI : 10.1016/j.compstruc.2004.08.005

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

M. Broggi and G. I. Schuëller, Efficient modeling of imperfections for buckling analysis of composite cylindrical shells, Engineering Structures, vol.33, issue.5, pp.1796-1806, 2011.
DOI : 10.1016/j.engstruct.2011.02.019

C. Soize, Stochastic Models of Uncertainties in Computational Mechanics, Lecture Notes in Engineering Mechanics 2, p.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

L. Sirovich, Turbulence and the dynamics of coherent structures. I. Coherent structures, Quarterly of Applied Mathematics, vol.45, issue.3, pp.561-571, 1987.
DOI : 10.1090/qam/910462

R. Sampaio and C. Soize, Remarks on the efficiency of POD for model reduction in non-linear dynamics of continuous elastic systems, International Journal for Numerical Methods in Engineering, vol.45, issue.3, pp.22-45, 2007.
DOI : 10.1002/nme.1991

URL : https://hal.archives-ouvertes.fr/hal-00686148

M. F. Azeez and A. Vakakis, PROPER ORTHOGONAL DECOMPOSITION (POD) OF A CLASS OF VIBROIMPACT OSCILLATIONS, Journal of Sound and Vibration, vol.240, issue.5, pp.859-889, 2001.
DOI : 10.1006/jsvi.2000.3264

M. Mignolet, A. Przekop, S. A. Rizzi, and S. M. Spottswood, A review of indirect/nonintrusive reduced order modeling of nonlinear geometric structures, Journal of Sound and Vibration, 2012.

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, vol.197, issue.7, pp.87-97, 2012.
DOI : 10.1007/s00466-011-0629-y

URL : https://hal.archives-ouvertes.fr/hal-00684289

R. Murthy, X. Q. Wang, R. Perez, M. Mignolet, and L. A. Richter, Uncertainty-based experimental validation of nonlinear reduced order models, Journal of Sound and Vibration, vol.331, issue.5, 2012.
DOI : 10.1016/j.jsv.2011.10.022

E. Capiez-lernout, C. Soize, and M. Mignolet, Uncertainty quantification for postbuckling analysis of cylindrical shells with experimental comparisons, European Congress of Computational Methods in Applied Science and Engineering, pp.10-15, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00734167

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

P. Kree and C. Soize, Mathematics of random phenomena random vibrations of mechanical structures, 1986.

G. R. Saragoni and G. C. Hart, Simulation of artificial earthquakes, Earthquake Engineering & Structural Dynamics, vol.10, issue.3, pp.249-267, 1974.
DOI : 10.1002/eqe.4290020305

D. M. Boore, Simulation of Ground Motion Using the Stochastic Method, Pure and Applied Geophysics, vol.160, issue.3, pp.635-676, 2003.
DOI : 10.1007/PL00012553

H. Kanai, Semi-empirical formula for the seismic characteristics of the ground motion, Bulletin of the Earthquake Research Institute, vol.35, pp.309-325, 1957.

K. J. Bathe, Finite Element Procedures in Engineering Analysis, Journal of Pressure Vessel Technology, vol.106, issue.4, 1982.
DOI : 10.1115/1.3264375

G. Michel, Flambage de coques minces cylindriques sous un chargement dynamique de cisaillement, 1997.

L. C. Ludeman, Fundamentals of Digital Signal Processing, 1986.

C. Soize, Méthodes mathématiques en analyse du signal, 1993.