[1] Hosseini SAA, Khadem SE (2009) Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia Mech Mach Theory 44(1): 272-288.
[2] Yokoyama T (1988) Free vibration characteristics of rotating Timoshenko beams Int J Mech Sci 30(10): 743-755.
[3] Melanson J, Zu J W (1998) Free vibration and stability analysis of internally damped rotating shafts with general boundary conditions.
[4] Hosseini SAA, Khadem SE (2009) Combination resonances in a rotating shaft. Mech Mach Theory 44(8): 1535-1547.
[5] Khadem SE, Shahgholi M, Hosseini SAA (2010) Primary resonances of a nonlinear in-extensional rotating shaft. Mech Mach Theory 45(8): 1067-1081.
[6] Khadem SE, Shahgholi M, Hosseini, SAA (2011) Two-mode combination resonances of an in-extensional rotating shaft with large amplitude. Nonlinear Dyn 65: 217-233.
[7] Hosseini SAA, Zamanian M (2013) Analytical solution for general nonlinear continuous systems in a complex form. Appl Math Model 37(3): 1163-1169.
[8] Shahgholi M, Khadem SE, Bab S (2014) Free vibration analysis of a nonlinear slender rotating shaft with simply support conditions. Mech Mach Theory 82: 128-140.
[9] Wang YF, Huang LH, Li Y (2007) Nonlinear vibration and stability of a Jeffcott rotor under unbalanced magnetic excitation. Int. J Nonlinear Sci Numer 8(3): 375-384.
[10] Inayat-Hussain J I (2010) Nonlinear dynamics of a statically misaligned flexible rotor in active magnetic bearings. Commun Nonlinear Sci Numer Simul 15(3): 764-777.
[11] Luo H, Wang Y (2012) Nonlinear vibration of a continuum rotor with transverse electromagnetic and bearing excitations. Shock Vib 19(6): 1297-1314.
[12] Eftekhari M, Rahmatabadi AD, Mazidi A (2018) Nonlinear vibration of in-extensional rotating shaft under electromagnetic load. Mech Mach Theory 121: 42-58.
[13] Phadatare HP, Pratiher B (2020) Nonlinear modeling, dynamics, and chaos in a large deflection model of a rotor–disk–bearing system under geometric eccentricity and mass unbalance. Acta Mech 231(3): 907-928.
[14] Craig JJ (2005) Introduction to Robotics. 3rd edn, Pearson Education, UK.
[15] Love AEH (2013) A treatise on the mathematical theory of elasticity, Cambridge university press, UK.
[16] Eftekhari M (2017) The effect of damping and stiffness of bearing on the natural frequencies of rotor-bearing system. Int J Eng 30(3): 448-455.
[17] Reddy JN (2017) Energy principles and variational methods in applied mechanics. John Wiley & Son, USA.
[18] Gavin HP (2015) Strain energy in linear elastic solids. Department of Civil and Environmental Engineering, Duke University: Durham, NC, USA.
[19] Rao SS (2019) Vibration of continuous systems. John Wiley & Sons, USA.
[20] Liu MF, Chang TP (2005) Vibration analysis of a magneto-elastic beam with general boundary conditions subjected to axial load and external force. J Sound Vib 288(1-2): 399-411.
[21] Nayfeh AH, Mook DT (2008) Nonlinear oscillations. John Wiley & Sons, USA.