M. Amabili, Nonlinear vibrations and stability of shells and plates, 2008.
DOI : 10.1017/CBO9780511619694

C. Touzé, M. Amabili, and O. Thomas, Reduced-order models for large-amplitude vibrations of shells including in-plane inertia, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.21-24, pp.197-218, 2008.
DOI : 10.1016/j.cma.2008.01.002

M. Amabili and C. Touzé, Reduced-order models for nonlinear vibrations of fluid-filled circular cylindrical shells: Comparison of POD and asymptotic nonlinear normal modes methods, Journal of Fluids and Structures, vol.23, issue.6, pp.885-903, 2007.
DOI : 10.1016/j.jfluidstructs.2006.12.004

URL : https://hal.archives-ouvertes.fr/hal-00838880

A. A. Muravyov 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

D. Chapelle and K. Bathe, The Finite Element Analysis of Shells -Fundamentals, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00839738

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

A. Lazarus, O. Thomas, and J. Deü, Finite element reduced order models for nonlinear vibrations of piezoelectric layered beams with applications to NEMS, FEAD, pp.35-51, 2012.

C. Touzé, O. Thomas, and A. Chaigne, ASYMMETRIC NON-LINEAR FORCED VIBRATIONS OF FREE-EDGE CIRCULAR PLATES. PART 1: THEORY, Journal of Sound and Vibration, vol.258, issue.4, pp.649-676, 2002.
DOI : 10.1006/jsvi.2002.5143

C. Camier, C. Touzé, and O. Thomas, Non-linear vibrations of imperfect free-edge circular plates and shells, European Journal of Mechanics - A/Solids, vol.28, issue.3, pp.500-515, 2009.
DOI : 10.1016/j.euromechsol.2008.11.005

URL : https://hal.archives-ouvertes.fr/hal-01089556

R. M. Rosenberg, The Normal Modes of Nonlinear n-Degree-of-Freedom Systems, Journal of Applied Mechanics, vol.29, issue.1, pp.7-14, 1962.
DOI : 10.1115/1.3636501

URL : https://hal.archives-ouvertes.fr/hal-01344457

A. F. Vakakis, L. I. Manevitch, Y. V. Mikhlin, V. N. Philipchuck, and A. A. , Zevin, Normal modes and localization in non-linear systems, 1996.

E. J. Doedel, R. Paffenroth, A. R. Champneys, T. F. Fairgrieve, Y. A. Kuznetsov et al., Continuation and bifurcation software for ordinary differential equations, 2000.

C. Touzé, O. Thomas, and M. Amabili, Transition to chaotic vibrations for harmonically forced perfect and imperfect circular plates, International Journal of Non-Linear Mechanics, vol.46, issue.1, pp.234-246, 2011.
DOI : 10.1016/j.ijnonlinmec.2010.09.004

C. Touzé, S. Bilbao, and O. Cadot, Transition scenario to turbulence in thin vibrating plates, Journal of Sound and Vibration, vol.331, issue.2, pp.412-433, 2012.
DOI : 10.1016/j.jsv.2011.09.016