Research Papers

The Oscillation Attenuation of an Accelerating Jeffcott Rotor Damped by Magnetorheological Dampers Affected by the Delayed Yielding Phenomenon in the Lubricating Oil

[+] Author and Article Information
Jaroslav Zapoměl

Institute of Thermomechanics,
The Czech Academy of Sciences,
Dolejškova 1402/5,
182 00 Praha 8,
Prague 182 00, Czech Republic;
Department of Applied Mechanics,
VSB-Technical University of Ostrava,
17. listopadu 15,
Ostrava 708 33, Czech Republic
e-mail: zapomel@it.cas.cz,

Petr Ferfecki

IT4Innovations National Supercomputing Center,
Department of Applied Mechanics,
VSB-Technical University of Ostrava,
Ostrava 708 33, Czech Republic
e-mail: petr.ferfecki@vsb.cz

1Corresponding author.

Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received March 3, 2017; final manuscript received July 17, 2017; published online September 29, 2017. Assoc. Editor: Patrick S. Keogh.

J. Vib. Acoust 140(1), 011017 (Sep 29, 2017) (10 pages) Paper No: VIB-17-1086; doi: 10.1115/1.4037512 History: Received March 03, 2017; Revised July 17, 2017

Adding damping devices to the rotor supports is a frequently used technological solution for reducing vibrations of rotating machines. To achieve their optimum performance, their damping effect must be adaptable to the current operating speed. This is offered by magnetorheological squeeze film dampers. The magnetorheological oils are liquids sensitive to magnetic induction and belong to the class of fluids with a yielding shear stress. Their response to the change of a magnetic field is not instantaneous, but it is a process called the delayed yielding. The developed mathematical model of the magnetorheological squeeze film damper is based on the assumptions of the classical theory of lubrication. The lubricant is represented by a bilinear material, the yielding shear stress of which depends on magnetic induction. The delayed yielding process is described by a convolution integral with an exponential kernel. The developed mathematical model of the damper was implemented in the computational procedures for transient analysis of rotors working at variable operating speed. The carried-out simulations showed that the delayed yielding effect could have a significant influence on performance of magnetorheological damping devices. The development of a novel mathematical model of a magnetorheological squeeze film damper, the representation of the magnetorheological oil by bilinear material, taking the delayed yielding phenomenon into consideration, increased numerical stability of the computational procedures for transient analysis of flexible rotors, and extension of knowledge on behavior of rotor systems damped by magnetorheological squeeze film dampers are the principal contributions of this paper.

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Zapoměl, J. , Ferfecki, P. , and Kozánek, J. , 2013, “ 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), pp. 223–234.
Mu, C. , Darling, J. , and Burrows, C. R. , 1991, “ An Appraisal of a Proposed Active Squeeze Film Damper,” ASME J. Tribol., 113(4), pp. 750–754. [CrossRef]
El-Shafei, A. , and El-Hakim, M. , 2000, “ Experimental Investigation of Adaptive Control Applied to HSFD Supported Rotors,” ASME J. Eng. Gas Turbines Power, 122(4), pp. 685–692. [CrossRef]
Takayama, Y. , Sueoka, A. , and Kondou, T. , 2008, “ Modeling of Moving-Conductor Type Eddy Current Damper,” J. Syst. Des. Dyn., 2(5), pp. 1148–1159.
Zuo, L. , Chen, X. , and Nayfeh, S. , 2011, “ Design and Analysis of a New Type of Electromagnetic Damper With Increased Energy Density,” ASME J. Vib. Acoust., 133(4), p. 041006. [CrossRef]
Morishita, S. , and Mitsui, J. , 1992, “ Controllable Squeeze Film Damper (An Application of Electro-Rheological Fluid),” ASME J. Vib. Acoust., 114(3), pp. 354–357. [CrossRef]
Jung, S. Y. , and Choi, S. B. , 1995, “ Analysis of a Short Squeeze-Film Damper Operating With Electrorheological Fluids,” Tribol. Trans., 38(4), pp. 857–862. [CrossRef]
Yao, G. , Yap, F. F. , Chen, G. , Meng, G. , Fang, T. , and Qiu, Y. , 1999, “ Electro-Rheological Multi-Layer Squeeze Film Damper and Its Application to Vibration Control of Rotor System,” ASME J. Vib. Acoust., 122(1), pp. 7–11.
Wang, J. , Meng, G. , and Hahn, E. J. , 2003, “ Experimental Study on Vibration Properties and Control of Squeeze Mode MR Fluid Damper-Flexible Rotor System,” ASME Paper No. DETC2003/VIB-48416.
Wang, J. , and Meng, G. , 2001, “ Magnetorheological Fluid Devices: Principles, Characteristics and Applications in Mechanical Engineering,” Proc. Inst. Mech. Eng. Part L, 215(3), pp. 165–174.
Gong, X. , Ruan, X. , Xuan, S. , Yan, Q. , and Deng, H. , 2014, “ Magnetorheological Damper Working in Squeeze Model,” Adv. Mech. Eng., 6, p. 410158. [CrossRef]
Forte, P. , Paterno, M. , and Rustighi, E. , 2004, “ A Magnetorheological Fluid Damper for Rotor Applications,” Int. J. Rotating Mach., 10(3), pp. 175–182. [CrossRef]
Kim, K. J. , Lee, C. W. , and Koo, J. H. , 2008, “ Design and Modeling of Semi-Active Squeeze Film Dampers Using Magneto-Rheological Fluids,” Smart Mater. Struct., 17(3), p. 035006. [CrossRef]
Carmignani, C. , Forte, P. , and Rustighi, E. , 2006, “ Design of a Novel Magneto-Rheological Squeeze-Film Damper,” Smart Mater. Struct., 15(1), pp. 164–170. [CrossRef]
Piccirillo, V. , Balthazar, J. M. , and Tusset, A. M. , 2015, “ Chaos Control and Impact Suppression in Rotor-Bearing System Using Magnetorheological Fluid,” Eur. Phys. J. Specific Top., 224(14–15), pp. 3023–3040. [CrossRef]
Li, H. , Peng, X. , and Chen, W. , 2005, “ Simulation of the Chain-Formation Process in Magnetic Fields,” J. Intell. Mater. Syst. Struct., 16(7–8), pp. 653–658. [CrossRef]
Peng, X. , and Li, H. , 2007, “ Analysis of the Magnetomechanical Behavior of MRFs Based on Micromechanics Incorporating a Statistical Approach,” Smart Mater. Struct., 16(6), pp. 2477–2485. [CrossRef]
Si, H. , Peng, X. , and Li, X. , 2008, “ A Micromechanical Model for Magnetorheological Fluids,” J. Intell. Mater. Syst. Struct., 19(1), pp. 19–23. [CrossRef]
Yi, C. , Peng, X. , and Zhao, C. , 2010, “ A Magnetic-Dipoles-Based Micro-Macro Constitutive Model for MRFs Subjected to Shear Deformation,” Rheol. Acta, 49(8), pp. 815–825. [CrossRef]
Tao, R. , 2001, “ Super-Strong Magnetorheological Fluids,” J. Phys. Condens. Matter, 13(50), pp. R979–R999. [CrossRef]
Sahin, H. , Wang, X. , Miller, M. , Liu, Y. , and Gordaninejad, R. F. , 2009, “ Response Time of Magnetorheological (MR) Fluid and MR Valves Under Various Flow Conditions,” ASME Paper No. SMASIS2009-1428.
Goncalves, F. D. , and Carlson, J. D. , 2007, “ Investigating the Time Dependence of the MR Effect,” Int. J. Mod. Phys. B, 21(28–29), pp. 4832–4840. [CrossRef]
Zapoměl, J. , Ferfecki, P. , and Forte, P. , 2012, “ 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), pp. 1–12. [CrossRef]
Zapoměl, J. , and Ferfecki, P. , 2010, “ Mathematical Modelling of a Long Squeeze Film Magnetorheological Damper for Rotor Systems,” Modell. Optim. Phys. Syst., 9, pp. 97–102.
Zapoměl, J. , Ferfecki, P. , and Forte, P. , 2013, “ A Computational Investigation of the Steady State Vibrations of Unbalanced Flexibly Supported Rigid Rotors Damped by Short Magnetorheological Squeeze Film Dampers,” ASME J. Vib. Acoust., 135(6), p. 064505. [CrossRef]
Zapoměl, J. , and Ferfecki, P. , 2014, “ Influence of Delayed Yielding of Magnetorheological Oils in Squeeze Film Dampers on the Vibration Attenuation of Rotors,” Nineth IFToMM International Conference on Rotor Dynamics, Milan, Italy, Sept. 22–25, pp. 1021–1032.
Zapoměl, J. , and Ferfecki, P. , 2015, “ Analysis of Influence of Short Magnetorheological Damping Elements on Vibrations Attenuation of Rigid Rotors,” Fifth ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Crete Island, Greece, May 25–27, pp. 1941–1948.
Zapoměl, J. , and Ferfecki, P. , 2015, “ A 2D Mathematical Model of a Short Magnetorheological Squeeze Film Damper Based on Representing the Lubricating Oil by Bilinear Theoretical Material,” IFToMM World Congress, Taipei, Taiwan, Oct. 25–30, pp. 1–6.
Ngatu, G. T. , and Wereley, N. M. , 2007, “ High Versus Low Field Viscometric Characterization of Bidisperse MR Fluids,” Int. J. Mod. Phys. B, 21(28–29), pp. 4922–4928. [CrossRef]
Gandhi, F. , and Bullough, W. A. , 2005, “ On the Phenomenological Modeling of Electrorheological and Magnetorheological Fluid Preyield Behavior,” J. Intell. Mater. Syst. Struct., 16(3), pp. 237–248. [CrossRef]
Chaudhuri, A. , Wereley, N. M. , Kotha, S. , Radhakrishnan, R. , and Sudarshan, T. S. , 2005, “ Viscometric Characterization of Cobalt Nanoparticle-Based Magnetorheological Fluids Using Genetic Algorithms,” J. Magn. Magn. Mater., 293(1), pp. 206–214. [CrossRef]
Gumundsson, K. H. , 2011, “ Design of a Magnetorheological Fluid for an MR Prosthetic Knee Actuator With an Optimal Geometry,” Ph.D. thesis, University of Iceland, Reykjavik, Iceland.
Zapoměl, J. , Ferfecki, P. , and Kozánek, J. , 2017, “ Modelling of Magnetorheological Squeeze Film Dampers for Vibration Suppression of Rigid Rotors,” Int. J. Mech. Sci., 127, pp. 191–197. [CrossRef]
Zapoměl, J. , 2007, Computer Modelling of Lateral Vibration of Rotors Supported by Hydrodynamical Bearings and Squeeze Film Dampers, VSB-Technical University of Ostrava, Ostrava, Czech Republic (in Czech).
Szeri, A. Z. , 1980, Tribology: Friction, Lubrication, and Wear, Hemisphere Publishing Corporation, Washington, DC.
Yang, Y. , Li, L. , and Chen, G. , 2009, “ Static Yield Stress of Ferrofluid-Based Magnetorheological Fluids,” Rheol. Acta, 48(4), pp. 457–466. [CrossRef]
Marinică, O. , Susan-Resiga, D. , Bălănean, F. , Vizman, D. , Socoliuc, V. , and Vékás, L. , 2016, “ Nano-Micro Composite Magnetic Fluids: Magnetic and Magnetorheological Evaluation for Rotating Seal and Vibration Damper Applications,” J. Magn. Magn. Mater., 406, pp. 134–143. [CrossRef]
Goncalves, F. D. , 2005, “ Characterizing the Behavior of Magnetorheological Fluids at High Velocities and High Shear Rates,” Ph.D. thesis, Virginia Polytechnic Institute and State University, Blacksburg, VA.
Choi, Y.-T. , and Wereley, N. M. , 2015, “ Drop-Induced Shock Mitigation Using Adaptive Magnetorheological Energy Absorbers Incorporating a Time Lag,” ASME J. Vib. Acoust., 137(1), p. 011010. [CrossRef]
Ferfecki, P. , Zapoměl, J. , and Kozánek, J. , 2017, “ Analysis of the Vibration Attenuation of Rotors Supported by Magnetorheological Squeeze Film Dampers as a Multiphysical Finite Element Problem,” Adv. Eng. Software, 104, pp. 1–11. [CrossRef]


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Fig. 1

Scheme of a magnetorheological squeeze film damper: 1—outer ring, 2—inner ring, 3—magnetorheological oil, 4—electric coil, 5—squirrel cage spring, 6—damper housing, and 7—shaft

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Fig. 2

The cross section of the gap of a magnetorheological squeeze film damper

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Fig. 3

The introduced coordinate system

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Fig. 4

Scheme of the magnetic circuit

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Fig. 5

A scheme of the investigated rotor including the fixed coordinate system

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Fig. 6

Angular speed during the rotor deceleration

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Fig. 7

Displacement of the disk center in the horizontal (left) and vertical (right) directions

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Fig. 8

Displacement of the journal center in the horizontal (left) and vertical (right) directions

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Fig. 9

Transient orbits of the disk (left) and rotor journal (right) centers

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Fig. 10

Horizontal displacement of the disk center, 0.0/0.2 A, 200 rad/s, time constants 1 ms (left), 5 ms (right)

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Fig. 11

The disk center horizontal displacement, 0.2 A, 200/150 rad/s, time constants 1 ms (left), 5 ms (right)

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Fig. 12

The journal center horizontal displacement, 0.2 A, 200/150 rad/s, time constants 1 ms (left), 5 ms (right)

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Fig. 13

Orbits of the disk (left) and journal (right) centers, 0.2 A, 200 rad/s, time constants 1 ms, 5 ms

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Fig. 14

Orbits of the disk (left) and journal (right) centers, 0.2 A, 150 rad/s, time constants 1 ms, 5 ms

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Fig. 15

The disk (left) and journal (right) center vibration amplitude—time constant relationship, 0.2 A



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