F. Akgun, Selection of Drill Pipes Based on Critical Loading Conditions for Slim Hole Drilling, SPE/IADC Asia Pacific Drilling Technology, 1996.
DOI : 10.2118/36405-MS

W. Aldred and M. Sheppard, Drillstring Vibrations: A New Generation Mechanism and Control Strategies, SPE Annual Technical Conference and Exhibition, 1992.
DOI : 10.2118/24582-MS

S. Al-hiddabi, B. Samanta, and A. Et-seibi, Non-linear control of torsional and bending vibrations of oilwell drillstrings, Journal of Sound and Vibration, vol.265, issue.2, 2003.
DOI : 10.1016/S0022-460X(02)01456-6

A. M. Bha, Lateral Vibrations: Case Studies and Evaluation of Important Parameters, 1987.

M. Amara, Use of Drillstring Models and Data Bases for the Scientific Control of Vertical and Directional Hole Paths, SPE/IADC Drilling Conference, 1985.
DOI : 10.2118/13495-MS

O. Aminfar, Innovations in Rotary Drill Bit Design to Reduce Vibration and Improve Durability, 2008.

M. Apostal, G. Haduch, and J. Et-williams, A Study To Determine the Effect of Damping on Finite-Element-Based, Forced-Frequency-Response Models for Bottomhole Assembly Vibration Analysis, SPE Annual Technical Conference and Exhibition, 1990.
DOI : 10.2118/20458-MS

J. Bailey, Drilling Vibrations Modeling and Field Validation, IADC/SPE Drilling Conference, 2008.
DOI : 10.2118/112650-MS

J. Baird, GEODYN2: A Bottomhole Assembly/Geological Formation Dynamic Interaction Computer Program, SPE Annual Technical Conference and Exhibition, 1985.
DOI : 10.2118/14328-MS

J. Baird, Theoretical Description: A Geological Formation-Drill String Dynamics Interaction Program (GEODYN), Sandia National Laboratories, 1984.

K. Bathe, Advances in Finite Element Procedures for Nonlinear Dynamic Response, East European Conference on Computaional Mechanics, 2009.

K. Bathe, The Finite Element Procedures, 1996.

A. Belaid, Modélisation Tridimensionnelle du Comportement Mécanique de la Garniture de Forage dans les Puits à Trajectoires Complexes: Application à la Prédiction des Frottements Garniture-Puits, Mines ParisTech, 2005.

A. Besaisow and M. Et-payne, A Study of Excitation Mechanisms and Resonances Inducing Bottomhole-Assembly Vibrations, SPE Drilling Engineering, vol.3, issue.01, 1988.
DOI : 10.2118/15560-PA

M. Birades, Etude du Comportement Directionnel des Garnitures de Forage. Modélisation par Eléments Finis avec Contact Unilatéral Statique et Dynamique, École Centrale des Arts et Manufactures, 1985.

E. Blick and Q. Et-shams, Effect of Flow Properties on Drillpipe Neutral Point, SPE/IADC Drilling Conference, 1989.
DOI : 10.2118/18694-MS

R. Booth, Cuttings transport with drillstring rotation, European Study Group with Industry, 2009.

C. Brennen, On the flow in an annulus surrounding a whirling cylinder, Journal of Fluid Mechanics, vol.94, issue.01, 1976.
DOI : 10.1017/S0022112076000165

J. Brett, T. Warren, and S. Et-behr, Bit Whirl: A New Theory of PDC Bit Failure, 1989.

N. Challamel, Etude de Stabilité d'une Structure de Forage à Partir du Processus de Destruction de la Roche, Mines ParisTech, 1999.

D. Chen, M. Smith, and S. Et-lapierre, Integrated Drilling Dynamics System Closes the Model-Measure-Optimize Loop in Real Time, SPE/IADC Drilling Conference, 2003.
DOI : 10.2118/79888-MS

S. Chen, M. Géradin, and E. Et-lamine, An improved dynamic stiffness method and modal analysis for beam-like structures, Computers & Structures, vol.60, issue.5, 1996.
DOI : 10.1016/0045-7949(95)00448-3

S. Chen, M. Wambgans, and J. Et-jendrzejczyk, Added Mass and Damping of a Vibrating Rod in Confined Viscous Fluids, Journal of Applied Mechanics, vol.43, issue.2, 1976.
DOI : 10.1115/1.3423833

A. Chevallier, Non-linear Stochastic Drilling Vibrations, 2001.

A. Christofourou and A. Et-yigit, Fully coupled vibrations of actively controlled drillstrings, Journal of Sound and Vibration, vol.267, issue.5, 2003.
DOI : 10.1016/S0022-460X(03)00359-6

M. Cobern, Drilling Tests of an Active Vibration Damper, SPE/IADC Drilling Conference, 2007.
DOI : 10.2118/105400-MS

C. Conran, Horizontal and Complex-Trajectory Wells, Journal of Petroleum Technology, 2008.

K. Corbett and R. Et-dawson, Drillstring Design for Directional Wells, 1984.

T. Dahl and B. Et-schmalhorst, A New Bottomhole Assembly Analysis Program for the Prediction of the Borehole Path Based on a Sophisticated Static Algorithm, SPE/IADC Drilling Conference, 1991.
DOI : 10.2118/21948-MS

D. Don and W. , Drill Collar Length is a Major Factor in Vibration Control, 1984.

D. Dashevskiy, Real-Time Drilling Optimization Based on MWD Dynamics Measurements, pp.37-39, 2007.

J. De-marchi, Modeling of Dynamic Friction, Impact Backlash and Elastic Compliance Nonlinearities in Machine Tools, with Applications to Asymmetric Viscous and Kinetic Friction Identification, Rensselaer Polytechnic Institute, 1998.

S. Desmette, Isubs: A New Generation of Autonomous Instrumented Downhole Tool, SPE/IADC Drilling Conference, 2005.
DOI : 10.2118/92424-MS

V. Dunayevsky, F. Abbasian, and A. Et-judzis, Dynamic Stability of Drillstrings Under Fluctuating Weight on Bit, SPE Drilling & Completion, vol.8, issue.02, 1993.
DOI : 10.2118/14329-PA

F. Dupriest and S. Et-sowers, Maintaining Steerability While Extending Gauge Length to Manage Whirl, 2010.
DOI : 10.2118/119625-pa

M. Dykstra, Drillstring Component Mass Imbalance: A Major Source of Downhole Vibrations, SPE Drilling & Completion, vol.11, issue.04, 1996.
DOI : 10.2118/29350-PA

M. Dykstra, Integrated drilling dynamics control-are we there yet?, Offshore Engineer, 2011.

M. Dykstra, Nonlinear Drill String Dynamics, 1996.

M. Dykstra, Improving Drilling Performance by Applying Advanced Dynamics Models, SPE/IADC Drilling Conference, 2001.
DOI : 10.2118/67697-MS

D. Francis, PDC bits begin to dominate, Exploration and Production Magazine, 2006.

T. Gaynor, An Improved Steerable System: Working Principles, 2000.

G. Heisig and M. Et-neubert, Lateral Drillstring Vibrations in Extended-Reach Wells, IADC/SPE Drilling Conference, 2000.
DOI : 10.2118/59235-MS

G. Heisig, On the Static and Dynamic Behavior of Drill Strings in Spatially Curved Boreholes, 1993.

H. Ho, An Improved Modeling Program for Computing the Torque and Drag in Directional and Deep Wells, SPE Annual Technical Conference and Exhibition, 1988.
DOI : 10.2118/18047-MS

S. Huang, Simulating the Dynamic Response of a Drilling Tool Assembly and its Applications to Drilling Tool Assembly Design Optimization and Drilling Performance Optimization, pp.641-642, 2004.

J. Jansen, Nonlinear Dynamics of Oilwell Drillstrings, 1993.

S. Jardine, D. Maline, and M. Sheppard, Putting a Dumper on the Drilling's Bad Vibrations, Oilfield Review, 1994.

P. Jogi, J. Macpherson, and M. Et-neubert, Field Verification of Model-Derived Natural Frequencies of a Drill String, Journal of Energy Resources Technology, vol.124, issue.3, 2002.
DOI : 10.1115/1.1486018

C. Johancsik, D. Friesen, and R. Et-dawson, Torque and Drag in Directional Wells-Prediction and Measurement, Journal of Petroleum Technology, vol.36, issue.06, 1984.
DOI : 10.2118/11380-PA

S. Johnson, A New Method of Producing Laterally Stable PDC Drill Bits, 2006.

S. Jones, J. Sugiura, and S. Et-barton, Results From Systematic Rotary-Steerable Testing With PDC Drill-Bits Depict the Optimal Balance Between Stability, 2008.

A. Judzis, Optimization of Deep Drilling Performance; Benchmark Testing Drives ROP Improvements for Bits and Drilling Fluids, 2007.

H. Kohno, K. Bathe, and J. Wright, A Finite Element Procedure for Multiscale Wave Equations with Application to Plasma Waves, Computers and Structures, 2009.

S. Kotsonis, Effects of Axial Forces on Drillstring Lateral Vibrations, 1994.

R. Leine, D. Campen, and W. Van-et-keultjes, Stick-slip Whirl Interaction in Drillstring Dynamics, Journal of Vibration and Acoustics, 2002.
DOI : 10.1007/1-4020-3268-4_27

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

M. Lesage, I. Falconer, and C. Et-wick, Evaluating Drilling Practice in Deviated Wells With Torque and Weight Data, SPE Drilling Engineering, vol.3, issue.03, 1988.
DOI : 10.2118/16114-PA

J. Macpherson, The Science of Stick Slip, IADC Stick-slip Mitigation Workshop, 2010.

J. Macpherson, P. Jogi, and J. Et-kingman, Application and Analysis of Simultaneous Near Bit and Surface Dynamics Measurements, 2001.
DOI : 10.2118/39397-ms

J. Macpherson, J. Mason, and J. Et-kingman, Surface Measurement and Analysis of Drillstring Vibrations While Drilling, SPE/IADC Drilling Conference, 1993.
DOI : 10.2118/25777-MS

H. Melakhessou, A. Berlioz, and G. Et-ferraris, A Nonlinear Well-Drillstring Interaction Model, Journal of Vibration and Acoustics, vol.125, issue.1, 2003.
DOI : 10.1115/1.1523071

URL : https://hal.archives-ouvertes.fr/hal-00454742

S. Menand, Advancements in 3D Drillstring Mechanics: From the Bit to the Top Drive, 2006.

G. Mensa-wilmot, Drilling Efficiency and Rate of Penetration: Definitions, Influencing Factors, Relationships, and Value, IADC/SPE Drilling Conference and Exhibition, 2010.
DOI : 10.2118/128288-MS

R. Mitchell and M. Et-allen, Case Studies of BHA Vibration Failure, SPE Annual Technical Conference and Exhibition, 1987.
DOI : 10.2118/16675-MS

D. Narkhede, M. Chakrabarti, and K. Et-subramaniam, Incremental Mode Superposition Method Using Post Correction Techniques for Nonlinear Dynamic Analysis, International Association for Structural Mechanics in Reactor Technology, 1999.

M. Nenad, Torsional and Lateral Vibrations in Flexible Rotor Systems with Friction, 2005.

O. 'bryan, P. Et-huston, and C. , A Study of the Effects of Bit Gauge Length and Stabilizer Placement on the Build and Drop Tendencies of PDC Bits, SPE Annual Technical Conference and Exhibition, 1990.
DOI : 10.2118/20411-MS

E. Omojuwa, S. Osisanya, and R. Et-ahmed, Measuring and Controlling Torsional Vibrations and Stick-Slip in a Viscous-Damped Drillstring Model, International Petroleum Technology Conference, 2011.

P. Paslay, Detection of BHA Lateral Resonances While Drilling With Surface Longitudinal and Torsional Sensors, SPE Annual Technical Conference and Exhibition, 1992.
DOI : 10.2118/24583-MS

P. Pastusek and V. Et-brackin, A Model for Borehole Oscillations, SPE Annual Technical Conference and Exhibition, 2003.
DOI : 10.2118/84448-MS

M. Payne, Drilling Bottomhole Assembly Dynamics, 1992.

M. Piovan and R. Et-sampaio, Non-linear Model for Coupled Vibrations of Drillstrings, Mecánica Computacional, 2006.

J. Pires and A. Et-khan, A Post Correction Mode Superposition Method for Nonlinear Dynamic Analysis, International Association for Structural Mechanics in Reactor Technology, 1993.

S. Poli, Advanced Tools for Advanced Wells: Rotary Closed Loop Drilling System - Results of, 1998.

N. Politis, An Approach for Efficient Analysis of Drill-String Random Vibrations, 2002.

S. Radford, T. Li, and M. Et-jenkins, Novel Concentric Expandable Stabilizer Results in Increased Penetration Rates and Drilling Efficiency With Reduced Vibration, SPE/IADC Drilling Conference and Exhibition, 2009.
DOI : 10.2118/119534-MS

H. Reckmann, MWD Failure Rates Due to Drilling Dynamics, IADC/SPE Drilling Conference and Exhibition, 2010.
DOI : 10.2118/127413-MS

O. Rey, Dynamics of an Unbalanced Drill Collar in a Slanted Hole, Massachusetts Institute of Technology, 1983.

I. Rezmer-cooper, Field Data Supports the Use of Stiffness and Tortuosity in Solving Complex Well Design Problems, SPE/IADC Drilling Conference, 1999.
DOI : 10.2118/52819-MS

T. Ritto, C. Soise, and R. Et-sampaio, Stochastic dynamics of a drill-string with uncertain weight-on-hook, Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol.32, issue.3, 2010.
DOI : 10.1590/S1678-58782010000300008

URL : https://hal.archives-ouvertes.fr/hal-00684313

J. Saiac, Méthode des Eléments Finis, Analyse Numérique des Equations aux Dérivées Partielles, Conseil National des Arts et Métiers, 2006.

R. Samuel, Friction factors: What are they for torque, drag, vibration, bottom hole assembly and transient surge/swab analyses?, Journal of Petroleum Science and Engineering, vol.73, issue.3-4, 2010.
DOI : 10.1016/j.petrol.2010.07.007

M. Shephard, S. Dey, and J. Et-flaherty, A Straight Forward Structure to Construct Shape Functions for Variable p-order Meshes, Computer Methods in Applied Mechanics and Engineering, 1996.
DOI : 10.1016/s0045-7825(97)00026-1

M. Sheppard, C. Wick, and T. Burgess, Designing Well Paths To Reduce Drag and Torque, SPE Drilling Engineering, vol.2, issue.04, 1987.
DOI : 10.2118/15463-PA

R. Shyu, Bending Vibrations of a Rotating Drill Strings, 1989.

E. Skaugen, The Effects of Quasi-Random Drill Bit Vibrations Upon Drillstring Dynamic Behavior, SPE Annual Technical Conference and Exhibition, 1987.
DOI : 10.2118/16660-MS

P. Spanos, Oil Well Drilling: A Vibrations Perspective, The Shock and Vibration Digest, 2003.
DOI : 10.1177/0583102403035002564

P. Spanos and M. Et-payne, Advances in Dynamic Bottomhole Assembly Modeling and Dynamic Response Determination, SPE/IADC Drilling Conference, 1992.
DOI : 10.2118/23905-MS

P. Spanos, A. Chevallier, and N. Et-politis, Nonlinear Stochastic Drill-String Vibrations, Journal of Vibration and Acoustics, vol.124, issue.4, 2002.
DOI : 10.1115/1.1502669

J. Stall and K. Et-blenkarn, Calculated Allowable Hook Load and Torque Combinations for Stuck Drill Strings, 1962.

C. Stone, T. Carne, and B. Et-caskey, Qualification of a Computer Program for Drill String Dynamics, 1984.

J. Suginura and S. Et-jones, Real-Time Stick-Slip and Vibration Detection for 8 1/2 Hole-Size Rotary Steerable Tools in Deeper Wells and More Agressive Drilling, American Association of Drilling Engineers, 2007.

A. Théron, Modélisation des Effets non-linéaires de Contact dans le Processus de Forage, 1996.

A. Théron, E. De-langre, and C. Et-putot, The Effect of Dynamical Parameters on Precession in Rotary Drilling, Journal of Energy Resources Technology, vol.123, issue.3, 2001.
DOI : 10.1115/1.1383974

V. Tikhonov, A. Safeonov, and M. Et-gelfgat, Investigation of Drillstring Transverse Vibrations at Rotary Drilling of Inclined Wells, Engineering Technology Conference on Energy, Parts A and B, 2002.
DOI : 10.1115/ETCE2002/DRILL-29031

B. Torvestad, Developement of a New Advanced Mutliple Activation System for Concentric Underreamers, 2012.

L. Van-den-steen, Suppressing Stick Slip Induced Drilling Oscillations: A Hyperstability Approch, 1997.

J. Vandiver, J. Nicholson, and R. Shyu, Case Studies of the Bending Vibration and Whirling Motion of Drill Collars, 1990.

M. Vaz and M. Patel, Analyasis of drill strings in vertical and deviated holes using the Galerkin technique, Engineering Structures, 1995.

Y. Wang and M. Et-mason, Two-Dimensional Rigid-Body Collisions With Friction, Journal of Applied Mechanics, vol.59, issue.3, 1992.
DOI : 10.1115/1.2893771

S. Wu, Decoupling Stick/Slip and Whirl To Achieve Breakthrough in Drilling Performance, IADC/SPE Drilling Conference and Exhibition, 2010.
DOI : 10.2118/128767-MS

Y. Xing, B. Liu, and G. Et-liu, A DIFFERENTIAL QUADRATURE FINITE ELEMENT METHOD, International Journal of Applied Mechanics, vol.02, issue.01, 2010.
DOI : 10.1016/S0020-7683(97)00277-1

A. Yigit and A. Et-christoforou, COUPLED AXIAL AND TRANSVERSE VIBRATIONS OF OILWELL DRILLSTRINGS, Journal of Sound and Vibration, vol.195, issue.4, 1996.
DOI : 10.1006/jsvi.1996.0450

A. Yigit and A. Et-christoforou, COUPLED TORSIONAL AND BENDING VIBRATIONS OF DRILLSTRINGS SUBJECT TO IMPACT WITH FRICTION, Journal of Sound and Vibration, vol.215, issue.1, 1998.
DOI : 10.1006/jsvi.1998.1617

A. Yigit and A. Et-christoforou, Dynamic Modeling of Rotating Drillstrings with Borehole Interactions, Journal of Sound and Vibration, 1997.

L. Zifeng, A Steady Tension-Torque Model for Drillstring in Horizontal Wells, 1993.