Numerical simulation of the chaotic lateral vibrations of long rotating beams, Applied Mathematics and Computation, vol.219, issue.10, pp.5592-5612, 2013. ,
DOI : 10.1016/j.amc.2012.11.076
On the modelling of Coulomb friction, Journal of Physics A: Mathematical and General, vol.32, issue.11, pp.2103-2113, 1999. ,
DOI : 10.1088/0305-4470/32/11/006
Modeling and Uncertainty Quantification in the Nonlinear Stochastic Dynamics of a Horizontal Dsrillstrings, 2015. ,
Instability regimes and self-excited vibrations in deep drilling systems, Journal of Sound and Vibration, vol.333, issue.7, pp.2019-2039, 2014. ,
DOI : 10.1016/j.jsv.2013.10.005
Dynamic characteristics analysis of drillstring in the ultra-deep well with spatial curved beam finite element, Journal of Petroleum Science and Engineering, vol.82, issue.83, pp.166-173, 2012. ,
DOI : 10.1016/j.petrol.2012.01.011
The Finite Element Method, 2000. ,
Coefficient of Restitution Interpreted as Damping in Vibroimpact, Journal of Applied Mechanics, vol.42, issue.2, pp.440-445, 1975. ,
DOI : 10.1115/1.3423596
URL : https://hal.archives-ouvertes.fr/hal-01333795
Computational modeling of the nonlinear stochastic dynamics of horizontal drillstrings, p.2015 ,
URL : https://hal.archives-ouvertes.fr/hal-01194190
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
Nonlinear motions of a flexible rotor with a drill bit: stick-slip and delay effects, Nonlinear Dynamics, vol.10, issue.3, pp.61-77, 2013. ,
DOI : 10.1007/s11071-012-0690-x
Drill-string horizontal dynamics with uncertainty on the frictional force, Journal of Sound and Vibration, vol.332, issue.1, pp.145-153, 2013. ,
DOI : 10.1016/j.jsv.2012.08.007
Non-linear dynamics of a drill-string with uncertain model of the bit???rock interaction, International Journal of Non-Linear Mechanics, vol.44, issue.8, pp.865-876, 2009. ,
DOI : 10.1016/j.ijnonlinmec.2009.06.003
URL : https://hal.archives-ouvertes.fr/hal-00684337
Robust optimization of the rate of penetration of a drill-string using a stochastic nonlinear dynamical model, Computational Mechanics, vol.30, issue.1, pp.415-427, 2010. ,
DOI : 10.1007/s00466-009-0462-8
URL : https://hal.archives-ouvertes.fr/hal-00684321
Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well. Mechanism and Machine Theory, pp.743-760, 2011. ,
Stochastic Models of Uncertainties in Computational Mechanics, Amer Society of Civil Engineers ,
DOI : 10.1061/9780784412237
URL : https://hal.archives-ouvertes.fr/hal-00749201
Stochastic modeling of uncertainties in computational structural dynamics???Recent theoretical advances, Journal of Sound and Vibration, vol.332, issue.10, pp.2379-2395, 2013. ,
DOI : 10.1016/j.jsv.2011.10.010
URL : https://hal.archives-ouvertes.fr/hal-00743699