On physical models in V.I. Gulyayev's three papers on drill string whirling and torsional vibrations

Gulyayev, 2016, Drill string bit whirl simulation with the use of frictional and nonholonomic models, J. Vib. Acoust., 138, 011021, 10.1115/1.4031985 Gulyayev, 2013, Nonholonomic dynamics of drill string bit whirling in a deep bore-hole, J Multi-body Dynamics, 227, 234 Gulyayev, 2011, Simulation of torsion relaxation auto-oscillations of drill string bit with viscous and coulombic friction moment models, J Multi-body Dynamics, 225, 139 Li, 1996 Li, 2004, Analysis of longitudinal and torsion vibration of drillstring, Eng. Mech., 21, 203 Li, 2008 Ghasemloonia, 2015, A review of drill string vibration modeling and suppression methods, J. Pet. Sci. Eng., 131, 150, 10.1016/j.petrol.2015.04.030 Dong, 2016, A literature review of researches on drillstring vibration suppression, Journal of Southwest Petroleum University (Science & Technology Edition), 38, 121 Li, 2016, Comments on “Drill-string horizontal dynamics with uncertainty on the frictional force” by T.G. Ritto, M.R. Escalante, Rubens Sampaio, M.B. Rosales, J. Sound Vib., 384, 356, 10.1016/j.jsv.2016.07.017 Li, 2017, Research advances and debates on tubular mechanics in oil and gas wells, J. Pet. Sci. Eng., 151, 194, 10.1016/j.petrol.2016.10.025 Li, 2017, Fundamental principles of drill-string mechanics and their qualitative simulation, J. Eng. Mech., 143, 04017031, 10.1061/(ASCE)EM.1943-7889.0001224 Li, 2013, An inevitable way in drill-string whirling research: combination of drilling fluid power lubrication with drill string dynamics, Acta Pet. Sin., 34, 607 Guo, 1994, Bit wobble: a kinetic interpretation of PDC bit failure, SPE, 28313