A simpler method to calculate instability threshold speed of hydrodynamic journal bearings

Pinkus, 1961, Theory of Hydrodynamic Lubrication Williams, 1994, Engineering Tribology Capone, 1994, A finite length plain journal bearing theory, Trans. ASME J. Tribol., 116, 648, 10.1115/1.2928896 Costa, 2016, Influence of the hip joint modeling approaches on the kinematics of human gait, J. Tribol., 138, 031201, 10.1115/1.4031988 Daniel, 2016, Investigation on the influence of the cavitation boundaries on the dynamic behavior of planar mechanical systems with hydrodynamic bearings, Mech. Mach. Theory, 99, 19, 10.1016/j.mechmachtheory.2015.11.019 Akers, 1971, Stability contours for a whirling finite journal bearing, J. Lubr. Tech., 93, 177, 10.1115/1.3451510 Khonsari, 1993, Stability boundary of non-linear orbits within clearance circle of journal bearings, J. Vib. Acoust., 115, 303, 10.1115/1.2930349 Lin, 2014, Nonlinear stability boundary of journal bearing systems operating with non-Newtonian couple stress fluids, Tribol. Int., 71, 114, 10.1016/j.triboint.2013.10.010 Kushare, 2014, Nonlinear transient stability study of two lobe symmetric hole entry worn hybrid journal bearing operating with non-Newtonian lubricant, Tribol. Int., 69, 84, 10.1016/j.triboint.2013.08.014 Wang, 2008, Effects of oil inlet pressure and inlet position of axially grooved infinitely long journal bearings. Part II: nonlinear instability analysis, Tribol. Int., 41, 132, 10.1016/j.triboint.2007.05.006 Amamou, 2014, Nonlinear stability analysis of long hydrodynamic journal bearings using numerical continuation, Mech. Mach. Theory, 72, 17, 10.1016/j.mechmachtheory.2013.10.002 Holmes, 1960, The vibration of a rigid shaft on short sleeve bearings, P I Mech. Eng. C-J Mech., 2, 337 Lund, 1987, Review of the concept of dynamic coefficients for fluid film journal bearings, Trans. ASME J. Tribol., 109, 37, 10.1115/1.3261324 Gardner, 1985, Analysis of limit-cycle response in fluid-film journal bearings using the method of multiple scales, Q. Trans. ASME J. Appl. Mech., 38, 27, 10.1093/qjmam/38.1.27 Lin, 2007, Application of the Hopf bifurcation theory to limit cycle prediction of short journal bearings with isotropic roughness effects, P I Mech. Eng. J-J. Eng., 221, 869 Lin, 2001, Linear stability analysis of rotor-bearing system: couple stress fluid model, Comput. Struct., 79, 801, 10.1016/S0045-7949(00)00189-9 Szeri, 2010, Fluid Film Lubrication