A dynamical study of a rotor supported by a radial journal bearing incorporating a spherical squeeze film damper
Main Article Content
Abstract
The reduction of noises, vibration and mechanical waves transmitting through water from the shells of submarines is essential to their safe operation and travelling. Vibrations from the rotors of the engines are widely deemed as one of the main sources to which engineers have tried to attenuate with various designs. Squeeze-film dampers can be easily integrated into rotor-bearing structures in order to lower the level of vibrations caused by rotors out of balance. For this advantage, squeeze-film dampers are widely used in air-turbine engines. This paper presents preliminary results of a numerical simulation of a shaft running on a journal bearing integrated with a squeeze-film damper and evaluates the capacity in reducing vibrations concerning the stability of static equilibrium of the shaft journal center. The proposed damper is designed in spherical shape with self-aligning capacity. The results were obtained using finite difference method and numerical integration of the full nonlinear equations of motion.
Keywords
squeeze-film damper, vibration, Reynolds equation, rotordynamics
Article Details
References
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[2] Martin D. Maier, Self-centering squeeze film damper bearing, Patent No. USOO5215384A, 1993.
[3] Helko Schmidt, Muhlhausen (DE), Squeeze film damper, Patent No. US008956048B2, 2015.
[4] R. Holmes and M. Dogan, The performance of a sealed squeeze film bearing in a flexible support structure, Proceedings of the Institution of Mechanical Engineers, 1985, Vol. 199(C1), pp. 1-9. https://doi.org/10.1243/PIME_PROC_1985_199_084_02
[5] M.M. Dede, M. Dogan and R. Holmes, The damping capacity of a sealed squeeze film bearing, Transaction of the ASME: Journal of Tribology, 1985, Vol.107, pp. 411-418. https://doi.org/10.1115/1.3261097
[6] P. Bonello, M.J. Brennan and R. Holmes, Non-linear modelling of rotor dynamic systems with squeeze film dampers-efficient integrated approach, Journal of Sound and Vibration, 2002, Vol. 249(4), pp. 743-773. https://doi.org/10.1006/jsvi.2001.3911
[7] P.M. Hai and P. Bonello, An impulsive receptance technique for the time domain computation of the vibration of a whole aero-engine model with nonlinear bearings, Journal of Sound and Vibration, 2008, Vol.318(3), pp. 592-605. https://doi.org/10.1016/j.jsv.2008.04.033
[8] Erik Lind, Magnus Meijer. Simulation and Control of Submarines. M.Sc. thesis, Department of Automatic Control, Lund University, Sweden, 2014.
[9] Wei Cheng, Zhousuo Zhang, and Zhengjia He. Vibration analysis of a submarine model based on an improved ica approach, Adv. in Neural Network Research & Appli., LNEE 67, pp. 721–728. https://doi.org/10.1007/978-3-642-12990-2_84
[10] C. H. T. Pan. Gas lubricated spherical bearings. Journal of Basic Engineering. 1963 / 311-322. https://doi.org/10.1115/1.3656586
[11] E. Hairer and G. Wanner, Solving ordinary differential equations II: stiff and differential-algebraic problems, 2nd ed. Berlin, Germany: Springer-Verlag, 2002, ch. IV, pp.18-238.
[12] L.F. Shampine, M.W. Reichelt, The matlab ODE suite, SIAM Journal on Scientific Computing, 1997, Vol. 18(1), pp.1-22. https://doi.org/10.1137/S1064827594276424
[13] Rudiger Seydel, Practical bifurcation and stability analysis, Interdisciplinary Applied Mathematics, 3rd ed. vol 5. 2nd ed. New York, NY, USA, Germany: Springer, 2010, sec. 1.2, pp.8-26.