C. Chen, D. Duhamel, and C. Soize, Probabilistic approach for model and data uncertainties and its experimental identification in structural dynamics: Case of composite sandwich panels, Journal of Sound and Vibration, vol.294, issue.1-2, pp.64-81, 2006.
DOI : 10.1016/j.jsv.2005.10.013

URL : https://hal.archives-ouvertes.fr/hal-00686153

A. P. Christoforou and A. S. Yigit, Fully coupled vibrations of actively controlled drillstrings, Journal of Sound and Vibration, vol.267, issue.5, pp.1029-1045, 2003.
DOI : 10.1016/S0022-460X(03)00359-6

Y. A. Khulief, F. A. Al-sulaiman, and S. Bashmal, Vibration analysis of drillstrings with self-excited stick???slip oscillations, Journal of Sound and Vibration, vol.299, issue.3, pp.540-558, 2007.
DOI : 10.1016/j.jsv.2006.06.065

S. J. Kotsonis and P. D. Spanos, Chaotic and Random Whirling Motion of Drillstrings, Journal of Energy Resources Technology, vol.119, issue.4, pp.217-222, 1997.
DOI : 10.1115/1.2794993

M. P. Mignolet and C. Soize, Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems, Computer Methods in Applied Mechanics and Engineering, vol.197, issue.45-48, 2008.
DOI : 10.1016/j.cma.2008.03.032

URL : https://hal.archives-ouvertes.fr/hal-00686140

M. T. Piovan and R. Sampaio, Non Linear Model for Coupled Axial/Torsional/flexural Vibrations of Drill-strings., Third European Conference on Computational Mechanics, 2006.
DOI : 10.1007/1-4020-5370-3_620

T. G. Ritto, C. Soize, and R. Sampaio, Drill-string dynamics coupled with the drilling fluid dynamics, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00691722

R. Sampaio, M. T. Piovan, and G. V. Lozano, Coupled axial/torsional vibrations of drilling-strings by mean of nonlinear model, Mechanics Research Comunications, vol.34, pp.5-6, 2007.

R. J. Serfling, Approximation Theorems of Mathematical Statistics, 1980.

C. E. Shannon, A Mathematical Theory of Communication, Bell System Technical Journal, vol.27, issue.3, pp.379-423, 1948.
DOI : 10.1002/j.1538-7305.1948.tb01338.x

C. Soize, A nonparametric model of random uncertainties for reduced matrix models in structural dynamics, Probabilistic Engineering Mechanics, vol.15, issue.3, pp.277-294, 2000.
DOI : 10.1016/S0266-8920(99)00028-4

URL : https://hal.archives-ouvertes.fr/hal-00686293

C. Soize, Maximum entropy approach for modeling random uncertainties in transient elastodynamics, The Journal of the Acoustical Society of America, vol.109, issue.5, pp.1979-1996, 2001.
DOI : 10.1121/1.1360716

URL : https://hal.archives-ouvertes.fr/hal-00686287

C. Soize, Transient responses of dynamical systems with random uncertainties, Probabilistic Engineering Mechanics, vol.16, issue.4, pp.363-372, 2001.
DOI : 10.1016/S0266-8920(01)00026-1

URL : https://hal.archives-ouvertes.fr/hal-00686285

C. Soize, Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.12-16, pp.12-16, 2005.
DOI : 10.1016/j.cma.2004.06.038

URL : https://hal.archives-ouvertes.fr/hal-00686187

C. Soize, A comprehensive overview of a non-parametric probabilistic approach of model uncertainties for predictive models in structural dynamics, Journal of Sound and Vibration, vol.288, issue.3, pp.623-652, 2005.
DOI : 10.1016/j.jsv.2005.07.009

URL : https://hal.archives-ouvertes.fr/hal-00686182

C. Soize, Short course on Uncertainties and Stochastic Modeling, Seminar on Uncertainties and Stochastic Modeling, 2008.

P. D. Spanos, A. K. Sengupta, R. A. Cunningham, and P. R. Paslay, Modeling of Roller Cone Bit Lift-Off Dynamics in Rotary Drilling, Journal of Energy Resources Technology, vol.117, issue.3, pp.197-207, 1995.
DOI : 10.1115/1.2835341

P. D. Spanos and A. M. Chevallier, Non linear stochastic drill?string vibrations, 8th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, 2000.
DOI : 10.1115/1.1502669

R. W. Tucker and C. Wang, Torsional vibration control and cosserat dynamics of a drill-rig assembly, Meccanica, vol.224, issue.1, pp.123-165, 2003.