Abstract
The paper studies dynamical behaviour of Jeffcott rotor supported by a hydrodynamic bearings. It uses different analytical formulations for hydrodynamic bearing forces acting on Jeffcott rotor. The model is nonlinear due to the presence of hydrodynamic bearings and can show different subharmonic behaviour like oil whip and oil whirl. Such a system is subjected to dynamical analysis using numerical continuation aimed at detection of nonlinear phenomena like bifurcations and unstable behaviours with respect to basic system parameters.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Amamou, A., Chouchane, M.: Nonlinear stability analysis of long hydrodynamic journal bearings using numerical continuation. Mech. Mach. Theory 72, 17–24 (2014)
Awrejcewicz, J., Kudra, G.: Mathematical modelling and simulation of the bifurcationalwobblestone dynamics. Discontinuity Nonlinearity Complex. 3(2), 123–132 (2014)
Awrejcewicz, J., Kudra, G., Wasilewski, G.: Experimental and numerical investigation of chaotic regions in the triple physical pendulum. Nonlinear Dyn. 50(4), 755–766 (2007)
Awrejcewicz J., Kudra, G., Wasilewski, G.: Chaotic zones in triple pendulum dynamics observed experimentally and numerically. In: New Trends in Mechanics and Transport, volume 9 ofApplied Mechanics and Materials, pp. 1–17. Trans Tech Publications, 3 2008
Bastani, Y.: A new analytic approximation for the hydrodynamic forces in finite-length journal bearings. J. Tribol. 132(1), 014502–01–014502–9 (2010)
Boyaci, A.: Numerical continuation applied to nonlinear rotor dynamics. Procedia IUTAM 19(Supplement C), 255–265 (2016). IUTAM Symposium Analytical Methods in Nonlinear Dynamics
Buckholz, R.H., Hwang, B.: The accuracy of short bearing theory for newtonian lubricants. J. Tribol. 108(1), 73–79 (1986)
Chouchane, M., Amamou, A.: Bifurcation of limit cycles in fluid film bearings. Int. J. Non-Linear Mech. 46(9), 1258–1264 (2011)
Gasch, R.: Dynamic behaviour of the laval rotor with a transverse crack. Mech. Syst. Sig. Process. 22(4), 790 – 804 (2008). Special Issue: Crack Effects in Rotordynamics
Govaerts, W., Kuznetsov, Y.A., De Vitte, V., Dhooge, A., Meijer, M.G.E., Mestrom, W., Riet, A.M., Sautois, B.: Matcont and cl\(\_\)matcont: Continuation toolboxes in matlab (2011)
Ishida, Y.: Cracked rotors: industrial machine case histories and nonlinear effects shown by simple jeffcott rotor. Mech. Syst. Sig. Process. 22(4), 805 – 817 (2008). Special Issue: Crack Effects in Rotordynamics
Jeffcott, H.H.: Xxvii. the lateral vibration of loaded shafts in the neighbourhood of a whirling speed. The effect of want of balance. Philos. Mag. 37(219), 304–314 (1919)
Kim, S., Palazzolo, A.B.: Effects of thermo hydrodynamic (THD) floating ring bearing model on rotordynamic bifurcation. Int. J. Non-Linear Mech. 95, 30–41 (2017)
Li, W., Yang, Y., Sheng, D., Chen, J.: A novel nonlinear model of rotor/bearing/seal system and numerical analysis. Mech. Mach. Theory 46(5), 618–631 (2011)
Ocvirk, F.W.: Short-bearing approximation for full journal bearings. Technical Report, Cornell University, 10 1952
Sghir, R., Chouchane, M.: Nonlinear stability analysis of a flexible rotor-bearing system by numerical continuation. J. Vibr. Control 22(13), 3079–3089 (2016)
Sommerfeld, A.: Zur hydrodynamischen theorie der schmiermittelreibung. Z. Math. Phys. 50(1–2), 97–155 (1904)
Vlajic, N., Champneys, A.R., Balachandran, B.: Nonlinear dynamics of a jeffcott rotor with torsional deformations and rotor-stator contact. Int. J. Non-Linear Mech. 92, 102–110 (2017)
Acknowledgements
The work has been supported by the project No. 17-15915S of the Czech Science Foundation entitled Nonlinear dynamics of rotating systems considering fluid film instabilities with the emphasis on local effects.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Byrtus, M., Dyk, Š. (2018). Rigid Jeffcott Rotor Bifurcation Behaviour Using Different Models of Hydrodynamic Bearings. In: Awrejcewicz, J. (eds) Dynamical Systems in Theoretical Perspective. DSTA 2017. Springer Proceedings in Mathematics & Statistics, vol 248. Springer, Cham. https://doi.org/10.1007/978-3-319-96598-7_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-96598-7_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-96597-0
Online ISBN: 978-3-319-96598-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)