Two methods for the computation of nonlinear modes of vibrating systems at large amplitudes, Computers & Structures, vol.84, issue.24-25, pp.24-25, 2006. ,
DOI : 10.1016/j.compstruc.2006.01.011
URL : https://hal.archives-ouvertes.fr/hal-00088183
The dynamics of elastic shocks via epigraphical regularization of a differential inclusion. Barrier and penalty approximations, Adv. Math. Sci. Appl, vol.12, issue.1, pp.273-306, 2002. ,
Averaging lemmas with a force term in the transport equation, Journal de Math??matiques Pures et Appliqu??es, vol.93, issue.2, pp.113-131, 2010. ,
DOI : 10.1016/j.matpur.2009.10.009
URL : https://hal.archives-ouvertes.fr/hal-00874401
Optimization and nonsmooth analysis, Classic in Applied Mathematics, 1990. ,
DOI : 10.1137/1.9781611971309
Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions, Archive for Rational Mechanics and Analysis, vol.122, issue.2, pp.341-368, 2008. ,
DOI : 10.1007/s00205-007-0095-z
Almost periodic functions, Interscience Tracts in Pure and Applied Mathematics, issue.22, 1968. ,
Convexity methods in Hamiltonian mechanics, Mathematics and Related Areas, 1990. ,
DOI : 10.1007/978-3-642-74331-3
Finite Elements for a Beam System with Nonlinear Contact Under Periodic Excitation. Ultrasonic Wave Propagation in Non Homogeneous Media, pp.149-160, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00418504
Approximate invariant manifolds up to exponentially small terms, Journal of Differential Equations, vol.248, issue.6, pp.1410-1431, 2010. ,
DOI : 10.1016/j.jde.2009.12.008
URL : https://hal.archives-ouvertes.fr/hal-00629669
Large-amplitude non-linear normal modes of piecewise linear systems, Journal of Sound and Vibration, vol.272, issue.3-5, pp.3-5, 2004. ,
DOI : 10.1016/S0022-460X(03)00497-8
URL : https://hal.archives-ouvertes.fr/hal-01350797
High oscillations and smoothing effect for nonlinear scalar conservation laws, preprint, 2010. ,
Dilatation of a One-Dimensional Nonlinear Crack Impacted by a Periodic Elastic Wave, SIAM Journal on Applied Mathematics, vol.70, issue.3, pp.735-761, 2009. ,
DOI : 10.1137/080741021
URL : https://hal.archives-ouvertes.fr/hal-00339279
Asymptotic Expansions of Vibrations with Small Unilateral Contact. Ultrasonic Wave Propagation in Non Homogeneous Media, pp.173-182, 2009. ,
Asymptotic Solutions of Initial Value Problems for Nonlinear Partial Differential Equations, SIAM Journal on Applied Mathematics, vol.18, issue.4, pp.748-758, 1970. ,
DOI : 10.1137/0118067
Nonlinear normal modes, Part I: A useful framework for the structural dynamicist, Mechanical Systems and Signal Processing, pp.170-194, 2009. ,
DOI : 10.1016/j.ymssp.2008.04.002
URL : https://hal.archives-ouvertes.fr/hal-01357931
Perturbation methods in applied mathematics, Applied Mathematical Sciences, vol.34, 1981. ,
DOI : 10.1007/978-1-4757-4213-8
Multiple Scale and Singular Perturbations Problems, Applied Mathematical Sciences, vol.114, 1996. ,
Applied Asymptotic Analysis, 2006. ,
DOI : 10.1090/gsm/075
Introduction to perturbation techniques, 1981. ,
Resonance in impact problems, Mathematical and Computer Modelling, vol.28, issue.4-8, pp.4-8, 1998. ,
DOI : 10.1016/S0895-7177(98)00129-0
An efficient method for finding the minimum of a function of several variables without calculating derivatives, The Computer Journal, vol.7, issue.2, pp.155-162, 1964. ,
DOI : 10.1093/comjnl/7.2.155
Vibrations des systèmes mécaniques. Méthodes analytiques et applications, 1984. ,
On non linear vibrations of systems with many degrees of freedom Advances in Applied Mechanics, pp.155-242, 1966. ,
Non destructive control of cables: O.D.E. models of non linear vibrations. Variational Formulations in Mechanics : Theory and Applications -A Workshop, 2006. ,
Justification de la m??thode des ??chelles multiples pour une classe d'??quations aux d??riv??es partielles, Annali di Matematica Pura ed Applicata, Series 4, vol.11, issue.1, pp.159-176, 1978. ,
DOI : 10.1007/BF02413873
Structural damage detection and localization by non-linear acoustic spectroscopy , Saviac, 76th Shock and Vibration Symposium, 2005. ,
Perturbation Method in Fluid Mechanics, Journal of Applied Mechanics, vol.43, issue.1, 1975. ,
DOI : 10.1115/1.3423785
Nonlinear differential equations and dynamical systems. Translated from the 1985 Dutch original, 1996. ,
A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system. Nonlinear Dynam, pp.379-393, 2008. ,