THE STEELPAN AS A SYSTEM OF NON-LINEAR MODE-LOCALIZED OSCILLATORS, I: THEORY, SIMULATIONS, EXPERIMENTS AND BIFURCATIONS, Journal of Sound and Vibration, vol.197, issue.4, pp.471-487, 1996. ,
DOI : 10.1006/jsvi.1996.0543
THE STEELPAN AS A SYSTEM OF NON-LINEAR MODE-LOCALIZED OSCILLATORS, PART III: THE INVERSE PROBLEM???PARAMETER ESTIMATION, Journal of Sound and Vibration, vol.212, issue.4, pp.623-635, 1998. ,
DOI : 10.1006/jsvi.1997.1458
Mode locking on the non-linear notes of the steelpan, Journal of Sound and Vibration, vol.266, issue.1, pp.193-197, 2003. ,
DOI : 10.1016/S0022-460X(03)00035-X
THE STEELPAN AS A SYSTEM OF NON-LINEAR MODE-LOCALIZED OSCILLATORS, PART II: COUPLED SUB-SYSTEMS, SIMULATIONS AND EXPERIMENTS, Journal of Sound and Vibration, vol.203, issue.4, pp.547-561, 1997. ,
DOI : 10.1006/jsvi.1996.0873
Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 1: Equations of Motion and Numerical Results, Journal of Vibration and Acoustics, vol.122, issue.4, pp.346-354, 2000. ,
DOI : 10.1115/1.1288593
Geometrical Methods in the Theory of Ordinary Differential Equations, 1988. ,
Nonlinear vibrations and chaos in gongs and cymbals, Acoustical Science and Technology, vol.26, issue.5, pp.403-409, 2005. ,
DOI : 10.1250/ast.26.403
URL : https://hal.archives-ouvertes.fr/hal-01135295
A second-order approximation of multi-modal interactions in externally excited circular cylindrical shells, Nonlinear Dynamics, vol.26, issue.1, pp.45-66, 2001. ,
DOI : 10.1023/A:1012987913909
A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions, Journal of Sound and Vibration, vol.324, issue.1-2, pp.243-262, 2009. ,
DOI : 10.1016/j.jsv.2009.01.054
URL : https://hal.archives-ouvertes.fr/hal-00315288
Remarks on Mr. Scott Russell's paper on rolling, Trans. Inst. Naval Research, vol.7, pp.232-275, 1863. ,
Theoretical and experimental study of modal interaction in a two-degree-of-freedom structure, Journal of Sound and Vibration, vol.97, issue.3, pp.451-473, 1984. ,
DOI : 10.1016/0022-460X(84)90272-4
Measurements of nonlinear effects in a driven vibrating wire, The Journal of the Acoustical Society of America, vol.96, issue.3, pp.1549-1556, 1994. ,
DOI : 10.1121/1.410233
Topics in Bifurcation Theory, Advanced Series in Nonlinear Dynamics, 1998. ,
User guide Manlab 2.0, CNRS UPR 7051, 2012. ,
A harmonic-based method for computing the stability of periodic solutions of dynamical systems, Comptes Rendus M??canique, vol.338, issue.9, pp.510-517, 2010. ,
DOI : 10.1016/j.crme.2010.07.020
URL : https://hal.archives-ouvertes.fr/hal-01452004
Three-dimensional oscillations of suspended cables involving simultaneous internal resonances . Nonlinear Dyn, pp.45-63, 1995. ,
Stability of Forced Oscillations of a Vibrating String, The Journal of the Acoustical Society of America, vol.38, issue.5, pp.855-861, 1965. ,
DOI : 10.1121/1.1909816
Resonant, nonplanar motion of a stretched string, The Journal of the Acoustical Society of America, vol.75, issue.5, pp.1505-1510, 1984. ,
DOI : 10.1121/1.390821
Complicated dynamics exhibited by thin shells displaying numerous internal resonances: application to the steelpan, 19th International Congress on Sound and Vibrations (ICSV), pp.8-12, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01154714
Effects of nonlinear sound propagation on the characteristic timbres of brass instruments, The Journal of the Acoustical Society of America, vol.131, issue.1, pp.678-688, 2012. ,
DOI : 10.1121/1.3651093
Experimental Observation of Amplitude- and Phase-Modulated Responses of Two Internally Coupled Oscillators to a Harmonic Excitation, Journal of Applied Mechanics, vol.55, issue.3, pp.706-710, 1988. ,
DOI : 10.1115/1.3125853
On the undesirable roll characteristics of ships in regular seas, J. Ship Res, vol.32, pp.92-100, 1988. ,
Three-mode interactions in harmonically excited systems with quadratic nonlinearities, Nonlinear Dynamics, vol.1, issue.5, pp.385-410, 1992. ,
DOI : 10.1007/BF00045074
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 modes of clarinet-like musical instruments, Journal of Sound and Vibration, vol.324, issue.3-5, pp.3-5, 2009. ,
DOI : 10.1016/j.jsv.2009.02.043
URL : https://hal.archives-ouvertes.fr/hal-00180211
Nonlinear Vibrations and Multiple Resonances of Fluid-Filled, Circular Shells, Part 2: Perturbation Analysis, Journal of Vibration and Acoustics, vol.122, issue.4, pp.355-364, 2000. ,
DOI : 10.1115/1.1288591
Les Méthodes Nouvelles de la Mécanique Céleste. Gauthiers-Villars, 1892. ,
On the nature of turbulence, Communications in Mathematical Physics, vol.169, issue.3, pp.167-192, 1971. ,
DOI : 10.1007/BF01646553
Averaging Methods in Nonlinear Dynamical Systems, 1985. ,
DOI : 10.1007/978-1-4757-4575-7
A harmonic-based method for computing the stability of periodic oscillations of nonlinear structural systems, IDETC 2010 (International Design Engineering Technical Conference), pp.15-18, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-01148758
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.3339-3373, 2005. ,
DOI : 10.1016/j.ijsolstr.2004.10.028
URL : https://hal.archives-ouvertes.fr/hal-00830689
Non-linear vibrations of free-edge thin spherical shells: Experiments on a 1:1:2 internal resonance, Nonlinear Dynamics, vol.16, issue.2, pp.259-284, 2007. ,
DOI : 10.1007/s11071-006-9132-y
URL : https://hal.archives-ouvertes.fr/hal-00838881
Nonlinear dynamics of a shallow arch under periodic excitation, I: 1:2 internal resonance, Int. J. Non-Linear Mech, vol.23, issue.3, pp.349-366, 1994. ,
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
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
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