Gupta, S. K. and Wahi, P.: Global axial–torsional dynamics during rotary
drilling, J. Sound Vib., 375, 332–352, https://doi.org/10.1016/j.jsv.2016.04.021, 2016.
Huang, W., Gao, D., Wei, S., and Li, X.: A generalized quasi-static model of
drill string system, J. Nat. Gas Sci. Eng., 23, 208–220,
https://doi.org/10.1016/j.jngse.2015.01.038, 2015.
Jogi, P. N., Macpherson, J. D., and Neubert, M.: Field verification of
model-derived natural frequencies of a drill string, J. Energ.
Resour.-ASME, 124, 154–162, https://doi.org/10.1115/1.1486018, 2002.
Jones, S., Feddema, C., Castro, J., and Sugiura, J.: Fully Mechanical
Vertical Drilling System Delivers RSS Performance in Vertical Drilling
Applications While Providing an Economical Alternative to Conventional Rotary
Steerable Systems Set-Up for Vertical Hold Mode, in: IADC/SPE Drilling
Conference and Exhibition, 1–3 March 2016, Worth, Texas, USA, 2016.
Kapitaniak, M., Hamaneh, V. V., Chávez, J. P., Nandakumar, K., and
Wiercigroch, M.: Unveiling complexity of drill–string vibrations:
Experiments and modelling, Int. J. Mech. Sci., 101, 324–337,
https://doi.org/10.1016/j.ijmecsci.2015.07.008, 2015.
Khulief, Y. A. and Al-Naser, H.: Finite element dynamic analysis of
drillstrings, Finite Elem. Anal. Des., 41, 1270–1288,
https://doi.org/10.1016/j.finel.2005.02.003, 2005.
Lian, Z., Zhang, Q., Lin, T., and Wang, F.: Experimental and numerical study
of drill string dynamics in gas drilling of horizontal wells, J. Nat. Gas
Sci. Eng., 27, 1412–1420, https://doi.org/10.1016/j.jngse.2015.10.005, 2015.
Liao, C. M., Vlajic, N., Karki, H., and Balachandran, B.: Parametric studies
on drill-string motions, Int. J. Mech. Sci., 54, 260–268,
https://doi.org/10.1016/j.ijmecsci.2011.11.005, 2012.
Lin, T., Zhang, Q., Lian, Z., Liu, Y., Zhang, Y., and Chen, Y.: Multi-axial
fatigue life prediction of drill collar thread in gas drilling, Eng. Fail.
Anal., 59, 151–160, https://doi.org/10.1016/j.engfailanal.2015.09.012, 2016.
Millheim, K., Jordan, S., and Ritter, C. J.: Bottom-hole assembly analysis
using the finite-element method, J. Petrol Technol., 30, 265–274, https://doi.org/10.2118/6057-PA, 1978.
Nave, E. D. and Dvorkin, E. N.: On the modeling of oil well drilling
processes, Int. J. Comput. Aided Eng., 32, 387–405,
https://doi.org/10.1108/EC-03-2013-0093, 2015.
Qu, Z.: Lateral vibration of drillstring under Joint action of inside and outside drill fluid flow, China Petro. Mach., 23, 40–43, 1995.
Rehm, W. A. and Garcia, A.: Horizontal drilling in mature oil fields, in:
SPE/IADC Drilling Conference, 28 February–3 March 1989, New Orleans,
Louisiana, 1989.
Ritto, T. G., Escalante, M. R., Sampaio, R., and Rosales, M. B.: Drill-string
horizontal dynamics with uncertainty on the frictional force, J. Sound Vib.,
332, 145–153, https://doi.org/10.1016/j.jsv.2012.08.007, 2013.
Sampaio, R., Piovan, M. T., and Lozano, G. V.: Coupled axial/torsional
vibrations of drill-strings by means of non-linear model, Mech. Res. Commun.,
34, 497–502, https://doi.org/10.1016/j.mechrescom.2007.03.005, 2007.
Shor, R. J., Dykstra, M. W., Hoffmann, O. J., and Coming, M.: For Better or
Worse: Applications of the Transfer Matrix Approach for Analyzing Axial and
Torsional Vibration, in: SPE/IADC Drilling Conference and Exhibition, 17–19
March 2015, London, UK, 2015.
Tian, J., Wu, C., Yang, L., Yang, Z., Liu, G., and Yuan, C.: Mathematical
modeling and analysis of drill string longitudinal vibration with lateral
inertia effect, Shock Vib., 2016, 6281264, https://doi.org/10.1155/2016/6281264, 2016.
Wang, R., Zang, Y., Zhang, R., Bu, Y., and Li, H.: Drillstring failure analysis
and its prevention in northeast Sichuan, China, Eng. Fail. Anal., 18, 1233–1241, https://doi.org/10.1016/j.engfailanal.2011.03.005, 2011.
Wang, R., Xue, Q., Han, L., Sun, F., and Yue, W.: Torsional vibration
analysis of push-the-bit rotary steerable drilling system, Meccanica, 49,
1601–1615, https://doi.org/10.1007/s11012-014-9942-9, 2014.
Wang, Z., Wang, R., Wang, F., Qiu, H., and Li, T.: Experiment study of pore structure effects on velocities in
synthetic carbonate rocks, Geophysics, 80, D207–D219,
https://doi.org/10.1190/geo2014-0366.1, 2015.
Warren, T.: Rotary steerable technology conclusion: implementation issues
concern operators, Oil Gas J., 96, 23–24, 1998.
Wilson, J. K. and Heisig, G.: Investigating the Benefits of Induced
Vibrations in Unconventional Horizontals via Nonlinear Drill String Dynamics
Modeling, in: SPE/IADC Drilling Conference and Exhibition, 17–19 March 2015,
London, UK, 2015.
Xue, Q., Leung, H., Wang, R., Liu, B., Huang, L., and Guo, S.: The chaotic
dynamics of drilling, Nonlinear Dynam., 83, 1–16,
https://doi.org/10.1007/s11071-015-2461-y, 2015.
Xue, Q., Leung, H., Huang, L., Zhang, R., Liu, B., Wang, J., and Li, L.: Modeling of torsional oscillation of drillstring dynamics, Nonlinear
Dynam., 1–17, https://doi.org/10.1007/s11071-019-04789-x, 2019.
Yigit, A., Al-Ansary, M., and Khalid, M.: Finite Element Modeling of
Drillstrings, Math. Comput. Appl., 1, 158–163, https://doi.org/10.3390/mca1020158,
1996.
Yigit, A. S. and Christoforou, A. P.: Coupled torsional and bending
vibrations of drillstrings subject to impact with friction, J. Sound Vib.,
215, 167–181, https://doi.org/10.1006/jsvi.1998.1617, 1998.