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

M. P. Escudier, I. W. Gouldson, P. J. Oliveira, and F. T. Pinho, Effects of inner cylinder rotation on laminar flow of a Newtonian fluid through an eccentric annulus, International Journal of Heat and Fluid Flow, vol.21, issue.1, pp.92-103, 2000.
DOI : 10.1016/S0142-727X(99)00059-4

M. P. Escudier, P. J. Oliveira, and F. T. Pinho, Fully developed laminar flow of purely viscous non-Newtonian liquids through annuli, including the effects of eccentricity and inner-cylinder rotation, International Journal of Heat and Fluid Flow, vol.23, issue.1, pp.52-73, 2002.
DOI : 10.1016/S0142-727X(01)00135-7

E. Jaynes, Information Theory and Statistical Mechanics, Physical Review, vol.106, issue.4, pp.1620-630, 1957.
DOI : 10.1103/PhysRev.106.620

E. Jaynes, Information Theory and Statistical Mechanics. II, Physical Review, vol.108, issue.2, pp.171-190, 1957.
DOI : 10.1103/PhysRev.108.171

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, pp.45-48, 2008.
DOI : 10.1016/j.cma.2008.03.032
URL : https://hal.archives-ouvertes.fr/hal-00686140

M. P. Paidoussis, T. P. Luu, and S. Prabhakar, Dynamics of a long tubular cantilever conveying fluid downwards, which then flows upwards around the cantilever as a confined annular flow, Journal of Fluids and Structures, vol.24, issue.1, pp.111-128, 2007.
DOI : 10.1016/j.jfluidstructs.2007.07.004

E. P. Pina and M. S. Carvalho, Three-Dimensional Flow of a Newtonian Liquid Through an Annular Space with Axially Varying Eccentricity, Journal of Fluids Engineering, vol.128, issue.2, pp.223-231, 2006.
DOI : 10.1115/1.2170126

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

T. G. Ritto, C. Soize, and R. Sampaio, Stochastic drill-string dynamics ? random weight-on-hook, Proceedings of the XIII DINAME, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00691725

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. Sampaio and T. G. Ritto, Dinâmica de estruturas flexíveis: análise determinística e estocástica, 2008.

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, 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

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.