Response of uncertain dynamic systems. I, Applied Mathematics and Computation, vol.22, issue.2-3, pp.115-150, 1987. ,
DOI : 10.1016/0096-3003(87)90040-3
Response of uncertain dynamic systems. II, Applied Mathematics and Computation, vol.22, issue.2-3, pp.151-187, 1987. ,
DOI : 10.1016/0096-3003(87)90041-5
Vibration of an oscillator with random damping: Analytical expression for the probability density function, Journal of Sound and Vibration, vol.296, issue.1-2, pp.383-400, 2006. ,
DOI : 10.1016/j.jsv.2006.03.003
Synthèse modale probabiliste ? Théorie et applications, 2008. ,
Multimodality of the frequency response functions of random linear mechanical systems, Proceedings of CILAMCE Iberian-Latin-American Congress on Computational Methods in Engineering, 2009. ,
Frequency response functions of random linear mechanical systems and propagation of uncertainties, Mecánica Computacional XXX, pp.3359-3380, 2011. ,
The Homogeneous Chaos, American Journal of Mathematics, vol.60, issue.4, pp.897-936, 1938. ,
DOI : 10.2307/2371268
Moment-based Hermite models of random vibration available at: http://sites. google.com/site/stevewinterstein/publications-1/ archival-publications/papers-file-repository/ papers-nonlinear-and-moment-based-load-models, 1987. ,
Nonlinear vibration models for extremes and fatigue, J. Eng. Mech, vol.114, 1988. ,
Stochastic Finite Elements: A Spectral Approach, 1991. ,
DOI : 10.1007/978-1-4612-3094-6
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations, SIAM Journal on Scientific Computing, vol.24, issue.2, pp.619-644, 2002. ,
DOI : 10.1137/S1064827501387826
On the convergence of generalized polynomial chaos expansions, ESAIM: Mathematical Modelling and Numerical Analysis, vol.46, issue.2, pp.46-317, 2012. ,
DOI : 10.1051/m2an/2011045
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations, Journal of Computational Physics, vol.209, issue.2, pp.617-642, 2005. ,
DOI : 10.1016/j.jcp.2005.03.023
URL : http://www.dtic.mil/get-tr-doc/pdf?AD=ADA458984
Beyond Wiener???Askey Expansions: Handling Arbitrary PDFs, Journal of Scientific Computing, vol.20, issue.1, pp.455-464, 2006. ,
DOI : 10.1007/s10915-005-9038-8
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.579.5445
The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications, Journal of Computational Physics, vol.227, issue.22, pp.227-9572, 2008. ,
DOI : 10.1016/j.jcp.2008.07.009
Polynomial chaos for modeling multimodal dynamical systems ? investigations on a single degree of freedom system, Mecánica Computacional XXXII, pp.705-727, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01017264
Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators, SIAM Journal on Scientific Computing, vol.26, issue.2, pp.720-735, 2004. ,
DOI : 10.1137/S1064827503427984
A stochastic representation of environmental uncertainty and its coupling to acoustic wave propagation in ocean waveguides, The Journal of the Acoustical Society of America, vol.120, issue.5, pp.2567-2579, 2006. ,
DOI : 10.1121/1.2335425
Stochastic study of a non-linear self-excited system with friction, European Journal of Mechanics - A/Solids, vol.40, pp.1-10, 2013. ,
DOI : 10.1016/j.euromechsol.2012.12.003
URL : https://hal.archives-ouvertes.fr/hal-00786921
Modeling uncertainty in flow simulations via generalized polynomial chaos, Journal of Computational Physics, vol.187, issue.1, pp.137-167, 2003. ,
DOI : 10.1016/S0021-9991(03)00092-5