Stability of structures, World scientific, 1991. ,
Observation of Wave Turbulence in Vibrating Plates, Physical Review Letters, vol.100, issue.23, p.234504, 2008. ,
DOI : 10.1103/PhysRevLett.100.234504
URL : https://hal.archives-ouvertes.fr/hal-00326634
A family of conservative finite difference schemes for the dynamical von Karman plate equations, Numerical Methods for Partial Differential Equations, vol.194, issue.1, pp.193-216, 2008. ,
DOI : 10.1002/num.20260
Numerical Sound Synthesis, 2008. ,
DOI : 10.1002/9780470749012
URL : https://hal.archives-ouvertes.fr/hal-01354779
Sequential Time Closures for Interacting Random Waves, Journal of Mathematics and Physics, vol.289, issue.1-4, pp.363-393, 1967. ,
DOI : 10.1002/sapm1967461363
Conservative numerical methods for the Full von K??rm??n plate equations, Numerical Methods for Partial Differential Equations, vol.4, issue.281, 2014. ,
DOI : 10.1002/num.21974
Statistics of power injection in a plate set into chaotic vibration, The European Physical Journal B, vol.66, issue.3, pp.399-407, 2008. ,
DOI : 10.1140/epjb/e2008-00431-3
URL : https://hal.archives-ouvertes.fr/hal-00326633
Energy injection in closed turbulent flows: Stirring through boundary layers versus inertial stirring, Physical Review E, vol.56, issue.1, pp.427-433, 1997. ,
DOI : 10.1103/PhysRevE.56.427
Influence of large amplitudes on free flexural vibrations of rectangular elastic plates, Journal of Applied Mechanics, vol.23, pp.532-540, 1956. ,
A justification of the von Kármán equations, Arch. Rat. Mech. analysis, vol.73, pp.349-389, 1980. ,
Time-domain simulation of damped impacted plates. I. Theory and experiments, The Journal of the Acoustical Society of America, vol.109, issue.4, p.1422, 2001. ,
DOI : 10.1121/1.1354200
URL : https://hal.archives-ouvertes.fr/hal-00830699
Global measurement of water waves by Fourier transform profilometry, Experiments in Fluids, vol.67, issue.9 ,
DOI : 10.1007/s00348-009-0611-z
Non-stationary spectra of local wave turbulence, Physica D: Nonlinear Phenomena, vol.184, issue.1-4, pp.64-85, 2003. ,
DOI : 10.1016/S0167-2789(03)00213-6
URL : https://hal.archives-ouvertes.fr/hal-00000319
Space-Time Resolved Wave Turbulence in a Vibrating Plate, Physical Review Letters, vol.103, issue.20, p.204301, 2009. ,
DOI : 10.1103/PhysRevLett.103.204301
Linear versus nonlinear response of a forced wave turbulence system, Physical Review E, vol.82, issue.4, p.46211, 2010. ,
DOI : 10.1103/PhysRevE.82.046211
URL : https://hal.archives-ouvertes.fr/hal-00838873
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
Dynamics of the wave turbulence spectrum in vibrating plates: A numerical investigation using a conservative finite difference scheme, Physica D: Nonlinear Phenomena, vol.280, issue.281, pp.280-28173, 2014. ,
DOI : 10.1016/j.physd.2014.04.008
URL : https://hal.archives-ouvertes.fr/hal-01135260
Self-similar formation of an inverse cascade in vibrating elastic plates, Physical Review E, vol.91, issue.5 ,
DOI : 10.1103/PhysRevE.91.052916
Weak Turbulence for a Vibrating Plate: Can One Hear a Kolmogorov Spectrum?, Physical Review Letters, vol.97, issue.2, p.25503, 2006. ,
DOI : 10.1103/PhysRevLett.97.025503
Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schr??dinger equation, Physica D: Nonlinear Phenomena, vol.57, issue.1-2, pp.96-160, 1992. ,
DOI : 10.1016/0167-2789(92)90090-A
Modal approach for nonlinear vibrations of damped impacted plates: Application to sound synthesis of gongs and cymbals, Journal of Sound and Vibration, vol.344, 2015. ,
DOI : 10.1016/j.jsv.2015.01.029
URL : https://hal.archives-ouvertes.fr/hal-01134639
Non-equilibrium dynamics of nonlinear wave systems : Turbulent regime, breakdown and wave condensation, 2010. ,
Turbulence. The Legacy of A.N. Kolmogorov, 1995. ,
URL : https://hal.archives-ouvertes.fr/hal-00630884
Nonstationary wave turbulence, Journal of Nonlinear Science, vol.25, issue.4, pp.457-480, 1991. ,
DOI : 10.1007/BF02429849
Wave turbulence in vibrating plates: The effect of damping, EPL (Europhysics Letters), vol.102, issue.3, p.30002, 2013. ,
DOI : 10.1209/0295-5075/102/30002
URL : https://hal.archives-ouvertes.fr/hal-01134801
Phenomenological model for predicting stationary and non-stationary spectra of wave turbulence in vibrating plates, Physica D: Nonlinear Phenomena, vol.316, pp.34-42, 2016. ,
DOI : 10.1016/j.physd.2015.11.006
URL : https://hal.archives-ouvertes.fr/hal-01257109
Weakly nonlinear theory of finite-size effects in resonators, Physical Review Letters, vol.72, issue.13, pp.2013-2016, 1994. ,
DOI : 10.1103/PhysRevLett.72.2013
The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Numbers, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.434, issue.1890, pp.9-13, 1941. ,
DOI : 10.1098/rspa.1991.0075
On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid, Dokl. Akad. Nauk. SSSR, vol.31, pp.538-540, 1941. ,
Solution of von-K??rm??n dynamic non-linear plate equations using a pseudo-spectral method, Computer Methods in Applied Mechanics and Engineering, vol.193, issue.6-8, pp.575-599, 2004. ,
DOI : 10.1016/j.cma.2003.10.013
Theory of elasticity, 1959. ,
Discrete and mesoscopic regimes of finite-size wave turbulence, Phys. Rev. E, vol.82, issue.5, p.56322, 2010. ,
Wave turbulence in Bose-Einstein condensates, Physica D, vol.184, pp.333-351, 2003. ,
Transition from Wave Turbulence to Dynamical Crumpling in Vibrated Elastic Plates, Physical Review Letters, vol.111, issue.5, p.54302, 2013. ,
DOI : 10.1103/PhysRevLett.111.054302
URL : https://hal.archives-ouvertes.fr/hal-01009494
Role of dissipation in flexural wave turbulence: From experimental spectrum to Kolmogorov-Zakharov spectrum, Physical Review E, vol.89, issue.6, p.62925, 2014. ,
DOI : 10.1103/PhysRevE.89.062925
URL : https://hal.archives-ouvertes.fr/hal-01009490
Experimental and theoretical inspection of the phase-to-height relation in Fourier transform profilometry, Applied Optics, vol.48, issue.2, pp.380-392, 2009. ,
DOI : 10.1364/AO.48.000380
Justification du modèle bidimensionnel nonlinéaire de plaque par développement asymptotique deséquationsdeséquations d'´ equilibre, C. R. Académie des Sciences IIb, vol.324, pp.349-354, 1997. ,
Nonstationary Wave Turbulence in an Elastic Plate, Physical Review Letters, vol.107, issue.3, p.34501, 2011. ,
DOI : 10.1103/PhysRevLett.107.034501
Nonlinear dynamics of flexural wave turbulence, Physical Review E, vol.84, issue.6, p.66607, 2011. ,
DOI : 10.1103/PhysRevE.84.066607
URL : https://hal.archives-ouvertes.fr/hal-00712156
Are There Waves in Elastic Wave Turbulence?, Physical Review Letters, vol.100, issue.23, p.234505, 2008. ,
DOI : 10.1103/PhysRevLett.100.234505
URL : https://hal.archives-ouvertes.fr/hal-00712175
Fourier analysis of wave turbulence in a thin elastic plate, The European Physical Journal B, vol.2, issue.4, pp.537-545, 2010. ,
DOI : 10.1140/epjb/e2010-00197-y
URL : https://hal.archives-ouvertes.fr/hal-00712159
Weak Langmuir turbulence, Physics Reports, vol.252, issue.4, pp.177-274, 1995. ,
DOI : 10.1016/0370-1573(94)00071-A
Wave turbulence, Contemporary Physics, vol.40, issue.3, 2011. ,
DOI : 10.1016/S0167-2789(03)00214-8
URL : https://hal.archives-ouvertes.fr/cea-01366996
Nonlinear oscillations, pp.1-26, 1979. ,
Wave turbulence and intermittency, Physica D: Nonlinear Phenomena, vol.152, issue.153, pp.152-153, 2001. ,
DOI : 10.1016/S0167-2789(01)00192-0
Non-local MHD turbulence, Physica D: Nonlinear Phenomena, vol.152, issue.153, pp.152-153646, 2001. ,
DOI : 10.1016/S0167-2789(01)00197-X
Wave Turbulence, Annual Review of Fluid Mechanics, vol.43, issue.1, pp.59-78, 2011. ,
DOI : 10.1146/annurev-fluid-122109-160807
URL : https://hal.archives-ouvertes.fr/hal-00302012
Freely Decaying Weak Turbulence for Sea Surface Gravity Waves, Physical Review Letters, vol.89, issue.14, p.144501, 2002. ,
DOI : 10.1103/PhysRevLett.89.144501
Turbulence of Capillary Waves, Physical Review Letters, vol.76, issue.18, pp.3320-3323, 1996. ,
DOI : 10.1103/PhysRevLett.76.3320
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
Geometrically nonlinear flexural vibrations of plates: In-plane boundary conditions and some symmetry properties, Journal of Sound and Vibration, vol.315, issue.3, pp.569-590, 2008. ,
DOI : 10.1016/j.jsv.2008.04.014
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
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
Calcul direct de la raideur non linéaire géométrique pour la réduction de modèles de coques enélémentsenéléments finis, Proceedings of CSMA 2013, Colloque national en calcul de structures, 2013. ,
Direct finite element computation of non-linear modal coupling coefficients for reduced-order shell models, Computational Mechanics, vol.298, issue.4???5, pp.567-580, 2014. ,
DOI : 10.1007/s00466-014-1006-4
Festigkeitsprobleme im maschinenbau, Encyklopädie der Mathematischen Wissenschaften, vol.4, issue.4, pp.311-385, 1910. ,
Dynamic response of various von-K??rm??n non-linear plate models and their 3-D counterparts, International Journal of Solids and Structures, vol.42, issue.9-10, pp.2517-2531, 2005. ,
DOI : 10.1016/j.ijsolstr.2004.10.006
Weak and Strong Wave Turbulence Spectra for Elastic Thin Plate, Physical Review Letters, vol.110, issue.10, p.105501, 2013. ,
DOI : 10.1103/PhysRevLett.110.105501
Identification of a separation wave number between weak and strong turbulence spectra for a vibrating plate, Physical Review E, vol.89, issue.1, p.12909, 2014. ,
DOI : 10.1103/PhysRevE.89.012909
Energy spectrum for stochastic oscillations of surface of a liquid, Sov. Phys. Dokl, vol.11, pp.881-884, 1967. ,
Weak turbulence of capillary waves, Journal of Applied Mechanics and Technical Physics, vol.44, issue.no. 2, pp.37-42, 1967. ,
DOI : 10.1007/BF00915178
Kolmogorov Spectra of Turbulence 1: Wave Turbulence, Series in Nonlinear Dynamics, 1992. ,