Free undamped non???linear vibrations of imperfect circular disks, Proc. of the Instn, pp.691-700, 1957. ,
DOI : 10.1243/PIME_PROC_1957_171_057_02
Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates, ZAMM - Zeitschrift f??r Angewandte Mathematik und Mechanik, vol.56, issue.12, pp.41501-510, 1961. ,
DOI : 10.1002/zamm.19610411204
On the modal equations of large amplitude flexural vibration of beams, plates, rings and shells, International Journal of Non-Linear Mechanics, vol.8, issue.3, pp.213-218, 1973. ,
DOI : 10.1016/0020-7462(73)90044-9
Non-linear resonances in the forced responses of plates, part 1: Symmetric responses of circular plates, Journal of Sound and Vibration, vol.41, issue.3, pp.359-373, 1975. ,
DOI : 10.1016/S0022-460X(75)80182-9
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
Asymmetric non-linear forced vibrations of free-edge circular plates. Part II: experiments, Journal of Sound and Vibration, vol.265, issue.5, pp.1075-1101, 2003. ,
DOI : 10.1016/S0022-460X(02)01564-X
URL : https://hal.archives-ouvertes.fr/hal-00830696
Nonlinear Vibrations of Shallow Spherical Shells, Journal of Applied Mechanics, vol.36, issue.3, pp.451-458, 1969. ,
DOI : 10.1115/1.3564701
Large-amplitude vibrations of geometrically imperfect shallow spherical shells with structural damping, AIAA Journal, vol.21, issue.12, pp.1736-1741, 1983. ,
DOI : 10.2514/3.8317
Nonlinear Forced Oscillations of a Shallow Spherical Shell, Bulletin of JSME, vol.27, issue.232, pp.2233-2240, 1984. ,
DOI : 10.1299/jsme1958.27.2233
Large amplitude axisymmetric vibrations of geometrically imperfect circular plates, Journal of Sound and Vibration, vol.91, issue.2, pp.239-246, 1983. ,
DOI : 10.1016/0022-460X(83)90899-4
On methods for continuous systems with quadratic and cubic nonlinearities, Nonlinear Dynamics, vol.89, issue.2, pp.145-162, 1992. ,
DOI : 10.1007/BF00118990
Hardening/softening behaviour in non-linear oscillations of structural systems using non-linear normal modes, Journal of Sound and Vibration, vol.273, issue.1-2, pp.77-101, 2004. ,
DOI : 10.1016/j.jsv.2003.04.005
NONLINEAR VIBRATIONS OF SIMPLY SUPPORTED, CIRCULAR CYLINDRICAL SHELLS, COUPLED TO QUIESCENT FLUID, Journal of Fluids and Structures, vol.12, issue.7, pp.883-918, 1998. ,
DOI : 10.1006/jfls.1998.0173
COMMENTS ON THE NONLINEAR VIBRATIONS OF CYLINDRICAL SHELLS, Journal of Fluids and Structures, vol.12, issue.8, pp.1087-1089, 1998. ,
DOI : 10.1006/jfls.1998.0183
FURTHER COMMENTS ON NONLINEAR VIBRATIONS OF SHELLS, Journal of Fluids and Structures, vol.13, issue.1, pp.159-160, 1999. ,
DOI : 10.1006/jfls.1998.0193
NONLINEAR VIBRATIONS OF CYLINDRICAL SHELLS ??? LOGICAL RATIONALE, Journal of Fluids and Structures, vol.13, issue.1, pp.161-164, 1999. ,
DOI : 10.1006/jfls.1998.0198
Review of studies on geometrically nonlinear vibrations and dynamics of circular cylindrical shells and panels, with and without fluid-structure interaction, Applied Mechanics Reviews, vol.56, issue.4, pp.349-381, 2003. ,
DOI : 10.1115/1.1565084
Nonlinear vibrations and stability of shells and plates, 2008. ,
DOI : 10.1017/CBO9780511619694
Reduction methods for nonlinear vibrations of spatially continuous systems with initial curvature. Solid Mechanics and its applications, pp.235-246, 2000. ,
Effect of the geometry on the non-linear vibration of circular cylindrical shells, International Journal of Non-Linear Mechanics, vol.37, issue.7, pp.1181-1198, 2002. ,
DOI : 10.1016/S0020-7462(01)00139-1
Non-linear responses of suspended cables to primary resonance excitations, Journal of Sound and Vibration, vol.266, issue.2, pp.325-354, 2003. ,
DOI : 10.1016/S0022-460X(02)01393-7
Non-linear behaviour of free-edge shallow spherical shells: Effect of the geometry, International Journal of Non-Linear Mechanics, vol.41, issue.5, pp.678-692, 2006. ,
DOI : 10.1016/j.ijnonlinmec.2005.12.004
Effect of Axisymmetric Imperfections on the Vibrations of Cylindrical Shells under Axial Compression, AIAA Journal, vol.12, issue.7, pp.995-997, 1974. ,
DOI : 10.2514/3.49393
Effects of uni-directional geometric imperfections on vibrations of pressurized shallow spherical shells, International Journal of Non-Linear Mechanics, vol.18, issue.4, pp.279-285, 1983. ,
DOI : 10.1016/0020-7462(83)90024-0
Axisymmetric Vibrations of Imperfect Shallow Spherical Caps Under Pressure Loading, Journal of Sound and Vibration, vol.174, issue.2, pp.249-260, 1994. ,
DOI : 10.1006/jsvi.1994.1274
A comparison of shell theories for large-amplitude vibrations of circular cylindrical shells: Lagrangian approach, Journal of Sound and Vibration, vol.264, issue.5, pp.1091-1125, 2003. ,
DOI : 10.1016/S0022-460X(02)01385-8
Influence of Initial Geometric Imperfections on the Vibrations and Dynamic Stability of Elastic Shells, International Applied Mechanics, vol.40, issue.8, pp.847-877, 2004. ,
DOI : 10.1023/B:INAM.0000048679.54437.f8
The effect of geometric imperfections on the vibrations of anisotropic cylindrical shells. Thin-Walled Structures, pp.274-282, 2007. ,
Non-linear free vibration and postbuckling of symmetrically laminated orthotropic imperfect shallow cylindrical panels with two adjacent edges simply supported and the other edges clamped, International Journal of Solids and Structures, vol.23, issue.8, pp.1123-1132, 1987. ,
Effects of Geometric Imperfections on Vibrations of Biaxially Compressed Rectangular Flat Plates, Journal of Applied Mechanics, vol.50, issue.4a, pp.750-756, 1983. ,
DOI : 10.1115/1.3167141
Non-linear vibrations of a clamped circular plate with initial deflection and initial edge displacement, part I: Theory, Journal of Sound and Vibration, vol.79, issue.1, pp.23-42, 1981. ,
DOI : 10.1016/0022-460X(81)90327-8
Non-linear vibrations of a clamped circular plate with initial deflection and initial edge displacement, part II: Experiment, Journal of Sound and Vibration, vol.79, issue.1, pp.43-59, 1981. ,
DOI : 10.1016/0022-460X(81)90328-X
Non-linear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement, part i: Theory. Thin-Walled Structures, pp.3-29, 1983. ,
Non-linear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement, part ii: Experiment. Thin-Walled Structures, pp.101-119, 1983. ,
Theory and experiments for large-amplitude vibrations of rectangular plates with geometric imperfections, Journal of Sound and Vibration, vol.291, issue.3-5, pp.539-565, 2006. ,
DOI : 10.1016/j.jsv.2005.06.007
Theory and experiments for large-amplitude vibrations of empty and fluid-filled circular cylindrical shells with imperfections, Journal of Sound and Vibration, vol.262, issue.4, pp.921-975, 2003. ,
DOI : 10.1016/S0022-460X(02)01051-9
Theory and experiments for large-amplitude vibrations of circular cylindrical panels with geometric imperfections, Journal of Sound and Vibration, vol.298, issue.1-2, pp.43-72, 2006. ,
DOI : 10.1016/j.jsv.2006.04.038
Large-amplitude vibration of an initially imperfect moderately thick plate, Journal of Sound and Vibration, vol.135, issue.2, pp.213-224, 1989. ,
DOI : 10.1016/0022-460X(89)90723-2
Nonlinear normal modes for damped geometrically non-linear systems: application to reduced-order modelling of harmonically forced structures, Journal of Sound and Vibration, vol.298, pp.4-5958, 2006. ,
A new approach to the large-deflection vibrations of imperfect circular disks using Galerkin's procedure, Journal of Sound and Vibration, vol.16, issue.2, pp.231-253, 1971. ,
DOI : 10.1016/0022-460X(71)90485-8
Effects of initial geometric imperfections on dynamic behavior of rectangular plates, Nonlinear Dynamics, vol.25, issue.3, pp.165-181, 1992. ,
DOI : 10.1007/BF00122300
Non-linear vibrations of imperfect free-edge circular plates and shells, European Journal of Mechanics - A/Solids, vol.28, issue.3, 2007. ,
DOI : 10.1016/j.euromechsol.2008.11.005
URL : https://hal.archives-ouvertes.fr/hal-01089556
Effet des imperfections géométriques sur les vibrations non-linéaires de plaques circulaires minces, 18ème Congrès Français de Mécanique, 2007. ,
Non-linear vibrations of free-edge thin spherical shells: modal interaction rules and 1:1:2 internal resonance, International Journal of Solids and Structures, vol.42, issue.11-12, pp.11-123339, 2005. ,
DOI : 10.1016/j.ijsolstr.2004.10.028
URL : https://hal.archives-ouvertes.fr/hal-00830689
Time-domain simulation of damped impacted plates. I. Theory and experiments, The Journal of the Acoustical Society of America, vol.109, issue.4, pp.1422-1432, 2001. ,
DOI : 10.1121/1.1354200
URL : https://hal.archives-ouvertes.fr/hal-00830699
Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments, Computers and Structures, vol.82, pp.31-322587, 2004. ,