Technical Briefs

A Computational Investigation of the Steady State Vibrations of Unbalanced Flexibly Supported Rigid Rotors Damped by Short Magnetorheological Squeeze Film Dampers

[+] Author and Article Information
Jaroslav Zapoměl

Department of Mechanics,
VŠB–Technical University of Ostrava,
17. listopadu 15,
Ostrava–Poruba 708 33, Czech Republic
e-mail: jaroslav.zapomel@vsb.cz

Petr Ferfecki

IT4Innovations Centre of Excellence,
VŠB–Technical University of Ostrava,
17. listopadu 15,
Ostrava–Poruba 708 33, Czech Republic
e-mail: petr.ferfecki@vsb.cz

Paola Forte

Department of Civil and Industrial Engineering,
University of Pisa,
Largo Lazzarino, Pisa 56122, Italy
e-mail: paola.forte@ing.unipi.it

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received March 8, 2012; final manuscript received June 11, 2013; published online August 6, 2013. Assoc. Editor: Yukio Ishida.

J. Vib. Acoust 135(6), 064505 (Aug 06, 2013) (4 pages) Paper No: VIB-12-1060; doi: 10.1115/1.4024881 History: Received March 08, 2012; Revised June 11, 2013

Unbalance is the principal cause of excitation of lateral vibrations of rotors and generation of the forces transmitted through the rotor supports to the foundations. These effects can be significantly reduced if damping devices are added to the constraint elements. To achieve their optimum performance, their damping effect must be controllable. The possibility of controlling the damping force is offered by magnetorheological squeeze film dampers. This article presents an original investigation of the dynamical behavior of a rigid flexibly supported rotor loaded by its unbalance and equipped with two short magnetorheological squeeze film dampers. In the computational model, the rotor is considered as absolutely rigid and the dampers are represented by force couplings. The pressure distribution in the lubricating layer is governed by a modified Reynolds equation adapted for Bingham material, which is used to model the magnetorheological fluid. To obtain the steady state solution of the equations of motion, a collocation method is employed. Stability of the periodic vibrations is evaluated by means of the Floquet theory. The proposed approach to study the behavior of rigid rotors damped by semi-active squeeze film magnetorheological dampers and the developed efficient computational methods to calculate the system steady state response and to evaluate its stability represent new contributions of this article.

Copyright © 2013 by ASME
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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]
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]
Wang, G.-J., Feng, N., Meng, G., and Hahn, E.-J., 2006, “Vibration Control of a Rotor by Squeeze Film Damper With Magnetorheological Fluid,” J. Intell. Mater. Syst. Struct., 17(4), pp. 353–357. [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), p. 105011. [CrossRef]
Zhao, J. Y., Linnett, I. W., and McLean, L. J., 1994, “Stability and Bifurcation of Unbalanced Response of a Squeeze Film Damped Flexible Rotor,” ASME J. Tribol., 116(2), pp. 361–368. [CrossRef]


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Fig. 1

Scheme of the magnetorheological damper

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Fig. 2

Damper coordinate systems

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Fig. 3

The investigated rotor system, mR = 425.9 kg, bP = 100 kg s−1, kD = 2 · 106 N m−1, eT = 100 μm, ψ0 = 0 deg, R = 75 mm, L = 50 mm, c = 1 mm (clearance width), kd = 0.001 H m−1, ηB = 0.3 Pa s

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Fig. 4

Frequency response

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Fig. 5

Transmitted force amplitude versus rotational speed

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Fig. 6

Distribution of the eigenvalues in the Gauss plane

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Fig. 7

Moduli of the largest eigenvalue versus rotational speed



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