Vibrations attenuation of a Jeffcott rotor by application of a new mathematical model of a magnetorheological squeeze film damper based on a bilinear oil representation
- 23 Downloads
A frequently used technological solution for reducing oscillations of rotors excited by imbalance, time-varying forces or ground vibrations consists in inserting damping devices in the rotor supports. To achieve their optimum performance in a wide range of operating speeds their damping effect must be controllable to be possible to adapt it to the current working conditions. This is enabled by application of magnetorheological squeeze film dampers. In mathematical models the magnetorheological oils are represented mostly by Bingham or Herschel–Bulkley theoretical materials. Recent experimental measurements carried out at several working places show that with respect to the shape of the flow curves obtained for different magnitudes of magnetic induction the real magnetorheological fluids behave like a bilinear material. This enables a more accurate implementation of magnetorheological fluids in mathematical models of squeeze film dampers. In addition, unlike the Bingham fluid the flow curve of a bilinear material is continuous which reduces the nonlinear character of the procedures for calculation of the hydraulic forces by which the oil film acts on the shaft journal and the rotor casing. A new developed mathematical model of a short magnetorheological squeeze film damper based on representing the lubricating oil by bilinear material was implemented in the computational procedures for analysis of the steady state response of a Jeffcott rotor loaded by a stationary force and by the weight and imbalance of the disc. The performed computational simulations proved that these procedures were numerically stable and arrived at the solution also in cases when the methods based on representing the magnetorheological oil by Bingham material failed.
Unable to display preview. Download preview PDF.
The research work reported in this article wasmade possible by the research organization conceptual development project (Project No. RVO: 61388998) and by the Ministry of Education, Youth and Sports from the National Programme of Sustainability (NPU II) project “IT4Innovations excellence in science—LQ1602”. The support is highly acknowledged.
Compliance with ethical standards
Conflict of interest
The authors declare that they have no conflict of interest.
- 1.Zapoměl, J., Ferfecki, P., Kozánek, J.: Determination of the transient vibrations of a rigid rotor attenuated by a semiactive magnetorheological damping device by means of computational modelling. Appl. Comput. Mech. 7(2), 223–234 (2013). http://www.kme.zcu.cz/acm/index.php/acm/article/view/215/241
- 7.Zapoměl, J., Ferfecki, P., Forte, P.: A computational investigation of the transient response of an unbalanced rigid rotor flexibly supported and damped by short magnetorheological squeeze film dampers. Smart Mater. Struct. 21(10), 1–12 (2012). https://doi.org/10.1088/0964-1726/21/10/105011 CrossRefGoogle Scholar
- 8.Zapoměl, J., Ferfecki, P.: Mathematical modelling of a long squeeze film magnetorheological damper for rotor systems. Model. Optim. Phys. Syst. 9, 97–102 (2010). http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-d1bca297-75f7-471b-92a2-de453366e63b
- 9.Zapoměl, J., Ferfecki, P., Forte, P.: A computational investigation of the steady state vibrations of unbalanced flexibly supported rigid rotors damped by short magnetorheological squeeze film dampers. J. Vib. Acoust. 135(6), 064505-1–064505-4 (2013). https://doi.org/10.1115/1.4024881 CrossRefGoogle Scholar
- 10.Zapoměl, J., Ferfecki, P., Forte, P.: Analysis of the steady state unbalance response of rigid rotors on magnetorheological dampers: stability, force transmission and energy dissipation. Int. J. Appl. Mech. 6(3), 1450022-1–1450022-21 (2014). https://doi.org/10.1142/S1758825114500227 CrossRefGoogle Scholar
- 14.Gumundsson, K.H.: Design of a Magnetorheological Fluid for an MR Prosthetic Knee Actuator with an Optimal Geometry. PhD dissertation, University of Iceland, Iceland (2011)Google Scholar
- 15.Zapoměl, J., Ferfecki, P., Forte, P.: A new mathematical model of a magnetorheological squeeze film damper for rotordynamic applications based on a bilinear oil representation—derivation of the governing equations. Appl. Math. Model. 52, 558–575 (2017). https://doi.org/10.1016/j.apm.2017.07.040 MathSciNetCrossRefGoogle Scholar
- 17.Zapoměl J., Ferfecki P.: A 2D mathematical model of a short magnetorheological squeeze film damper based on representing the lubricating oil by bilinear theoretical material. In: Proceedings of the 14th International Federation for the Promotion of Mechanism and Machine Science World Congress, Taipei, Taiwan, 25–30 October, 2015, pp. 186–191 (2015)Google Scholar
- 18.Szeri, A.Z.: Tribology: Friction, Lubrication, and Wear. Hemisphere Publishing Corporation, Washington (1980)Google Scholar
- 19.Zapoměl, J.: Computer Modelling of Lateral Vibration of Rotors Supported by Hydrodynamical Bearings and Squeeze Film Dampers, VŠB-Technical University of Ostrava (2007) (in Czech) Google Scholar
- 20.Bucchi, F., Forte, P., Frendo, F.: Experimental characterization of a permanent magnet magnetorheological clutch for automotive applications. In: Proceedings of ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis, Nantes, France, July 2–4, 2012, paper no. ESDA2012-82284, pp. 345–355 (2012). https://doi.org/10.1115/ESDA2012-82284