Z. P. Bazant and L. Cedolin, Stability of structures, World scientific, 1991.

A. Boudaoud, O. Cadot, B. Odille, and C. Touzé, 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

S. Bilbao, 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

S. Bilbao, Numerical Sound Synthesis, 2008.
DOI : 10.1002/9780470749012

URL : https://hal.archives-ouvertes.fr/hal-01354779

D. J. Benney and A. C. Newell, 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

S. Bilbao, O. Thomas, C. Touzé, and M. Ducceschi, 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

O. Cadot, A. Boudaoud, and C. Touzé, 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

O. Cadot, Y. Couder, A. Daerr, S. Douady, and A. Tsinober, 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

H. N. Chu and G. Herrmann, Influence of large amplitudes on free flexural vibrations of rectangular elastic plates, Journal of Applied Mechanics, vol.23, pp.532-540, 1956.

P. G. Ciarlet, A justification of the von Kármán equations, Arch. Rat. Mech. analysis, vol.73, pp.349-389, 1980.

A. Chaigne and C. Lambourg, 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

P. J. Cobelli, A. Maurel, V. Pagneux, and P. Petitjeans, Global measurement of water waves by Fourier transform profilometry, Experiments in Fluids, vol.67, issue.9
DOI : 10.1007/s00348-009-0611-z

C. Connaughton, A. Newell, and Y. Pomeau, 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

P. Cobelli, P. Petitjeans, A. Maurel, V. Pagneux, and N. Mordant, 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

O. Cadot, C. Touzé, and A. Boudaoud, 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

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

M. Ducceschi, O. Cadot, C. Touzé, and S. Bilbao, 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

G. Düring, C. Josserand, and S. Rica, Self-similar formation of an inverse cascade in vibrating elastic plates, Physical Review E, vol.91, issue.5
DOI : 10.1103/PhysRevE.91.052916

G. Düring, C. Josserand, and S. Rica, 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

S. Dyachenko, A. C. Newell, A. Pushkarev, and V. E. Zakharov, 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

M. Ducceschi and C. Touzé, 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

G. Düring, Non-equilibrium dynamics of nonlinear wave systems : Turbulent regime, breakdown and wave condensation, 2010.

U. Frisch, Turbulence. The Legacy of A.N. Kolmogorov, 1995.
URL : https://hal.archives-ouvertes.fr/hal-00630884

G. E. Falkovich and A. V. Shafarenko, Nonstationary wave turbulence, Journal of Nonlinear Science, vol.25, issue.4, pp.457-480, 1991.
DOI : 10.1007/BF02429849

T. Humbert, O. Cadot, G. Düring, C. Josserand, S. Rica et al., 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

T. Humbert, C. Josserand, C. Touzé, and O. Cadot, 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

E. Kartashova, 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

A. N. Kolmogorov, 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

A. N. Kolmogorov, On degeneration (decay) of isotropic turbulence in an incompressible viscous liquid, Dokl. Akad. Nauk. SSSR, vol.31, pp.538-540, 1941.

R. M. Kirby and Z. Yosibash, 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

L. D. Landau and E. M. Lifshitz, Theory of elasticity, 1959.

V. S-l-'vov and S. Nazarenko, Discrete and mesoscopic regimes of finite-size wave turbulence, Phys. Rev. E, vol.82, issue.5, p.56322, 2010.

Y. L. 'vov, S. V. Nazarenko, and R. West, Wave turbulence in Bose-Einstein condensates, Physica D, vol.184, pp.333-351, 2003.

B. Miquel, A. Alexakis, C. Josserand, and N. Mordant, 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

B. Miquel, A. Alexakis, and N. Mordant, 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

A. Maurel, P. Cobelli, V. Pagneux, and P. Petitjeans, 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

O. Millet, A. Hamdouni, and A. Cimetì-ere, 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.

B. Miquel and N. Mordant, Nonstationary Wave Turbulence in an Elastic Plate, Physical Review Letters, vol.107, issue.3, p.34501, 2011.
DOI : 10.1103/PhysRevLett.107.034501

B. Miquel and N. Mordant, 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

N. Mordant, 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

N. Mordant, 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

S. L. Musher, A. M. Rubenchik, and V. E. Zhakarov, Weak Langmuir turbulence, Physics Reports, vol.252, issue.4, pp.177-274, 1995.
DOI : 10.1016/0370-1573(94)00071-A

S. Nazarenko, 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

A. H. Nayfeh and D. T. Mook, Nonlinear oscillations, pp.1-26, 1979.

A. C. Newell, S. Nazarenko, and L. Biven, Wave turbulence and intermittency, Physica D: Nonlinear Phenomena, vol.152, issue.153, pp.152-153, 2001.
DOI : 10.1016/S0167-2789(01)00192-0

S. V. Nazarenko, A. C. Newell, and S. Galtier, Non-local MHD turbulence, Physica D: Nonlinear Phenomena, vol.152, issue.153, pp.152-153646, 2001.
DOI : 10.1016/S0167-2789(01)00197-X

A. C. Newell and B. Rumpf, 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

M. Onorato, A. R. Osborne, M. Serio, D. Resio, A. Pushkarev et al., 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

A. N. Pushkarev and V. E. Zakharov, Turbulence of Capillary Waves, Physical Review Letters, vol.76, issue.18, pp.3320-3323, 1996.
DOI : 10.1103/PhysRevLett.76.3320

S. Sridhar, D. T. Mook, and A. H. Nayfeh, 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

O. Thomas and S. Bilbao, 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

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

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. Touzé, M. Vidrascu, and D. Chapelle, 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.

C. Touzé, M. Vidrascu, and D. Chapelle, 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

T. Von-kármán, Festigkeitsprobleme im maschinenbau, Encyklopädie der Mathematischen Wissenschaften, vol.4, issue.4, pp.311-385, 1910.

Z. Yosibash and R. M. Kirby, 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

N. Yokoyama and M. Takaoka, 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

N. Yokoyama and M. Takaoka, 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

V. E. Zakharov and N. N. Filonenko, Energy spectrum for stochastic oscillations of surface of a liquid, Sov. Phys. Dokl, vol.11, pp.881-884, 1967.

V. E. Zakharov and N. N. Filonenko, 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

V. E. Zakharov, V. S. , and G. Falkovich, Kolmogorov Spectra of Turbulence 1: Wave Turbulence, Series in Nonlinear Dynamics, 1992.