Research Papers

Sliding Mode Control of Flexible Rotor Based on Estimated Model of Magnetorheological Squeeze Film Damper

[+] Author and Article Information
Abdolreza Ohadi

e-mail: a_r_ohadi@aut.ac.ir
Acoustics Research Laboratory,
Department of Mechanical Engineering,
Amirkabir University of Technology,
Hafez Avenue, 424,
Tehran 15916-34311, Iran

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 14, 2012; final manuscript received April 19, 2013; published online June 18, 2013. Assoc. Editor: Ranjan Mukherjee.

J. Vib. Acoust 135(5), 051023 (Jun 18, 2013) (11 pages) Paper No: VIB-12-1180; doi: 10.1115/1.4024609 History: Received June 14, 2012; Revised April 19, 2013

By using magnetorheological (MR) fluid as the lubricating oil in a traditional squeeze film damper (SFD), one can build a variable-damping SFD, thereby controlling the vibration of a rotor by controlling the magnetic field. This study aims to control the vibration of a flexible rotor system using a magnetorheological squeeze film damper (MR-SFD). In order to evaluate the performance of the damper, the Bingham plastic model is used for the MR fluid and the hydrodynamic equation of MR-SFD is presented. Usually, the numerical methods are necessary for solving this equation. These methods are too costly and time consuming, especially in the simulation of complex rotors and the implementation of model-based controllers. To fix this issue, an innovative estimated equation for pressure distribution in MR-SFD is presented in this paper. By integration of this explicit expression, the hydrodynamic forces of MR-SFD are easily calculated as an algebraic equation. It is shown that the pressure and forces, which are calculated from the introduced expression, are consistent with the corresponding results of the original equations. Furthermore, considering the structural and parametric uncertainties of the system, proportional-integral-furthermore controller (PID) and sliding mode controllers are chosen for reducing the vibration level of the flexible rotor system, which is modeled by the finite element method. The time and frequency responses of a flexible rotor in the presence of these controllers show a good performance in reducing vibration of the shaft's midpoint, although near the rotor's critical speed the results of the sliding mode controller (SMC) are better than the corresponding results of the PID controller. The last part of this article is devoted to an analysis of the system's uncertainties. The results of the open loop system indicate that changes in the stiffness coefficient of the elastic foundation and the temperature of the MR fluid (two uncertainties of the system) strongly affects the outputs while using the controllers well increases the robustness of the system. The obtained results indicate that both the PID and sliding mode controllers have good performance against the uncertainty of the stiffness coefficient, but for changes in the MR fluid's temperature, the SMC presents better outputs compared to the PID controller, especially for high rotational speeds.

Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.


Morishita, S., and Mitsui, Y., 1992, “Controllable Squeeze Film Damper (An Application of Electro-Rheological Fluid),” ASME J. Vibr. Acoust., 114, pp. 354–357. [CrossRef]
Tichy, J. A., 1993, “Behavior of Squeeze Film Damper With ER Fluid,” STLE Tribol. Trans., 36, pp. 127–133. [CrossRef]
Jung, S. Y., and Choi, S. B., 1995, “Analysis of a Short Squeeze-Film Damper Operating With Electro Rheological Fluids,” STLE Tribol. Trans., 38(4), pp. 857–862. [CrossRef]
Yao, G. Z., Qiu, Y., Meng, G., Fang, T., and Fan, Y. B., 1999, “Vibration Control of a Rotor System by Disk Type Electrorheological Damper,” J. Sound Vib., 219(1), pp. 175–188. [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. Vibr. Acoust., 122(1), pp. 7–11. [CrossRef]
Zhu, C. S., Robb, D. A., and Ewins, D. J., 2001, “Magnetorheological Fluid Dampers for Rotor Vibration Control,” Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Seattle, WA, April 16–19, Vol. 3, AIAA Paper No. 2001–1469, pp. 2121–2127. [CrossRef]
Zhu, C., 2005, “A Disk-Type Magneto-Rheological Fluid Damper for Rotor System Vibration Control,” J. Sound Vib., 283, pp. 1051–1069. [CrossRef]
Bouzidane, A., and Thomas, M., 2008, “An Electrorheological Hydrostatic Journal Bearing for Controlling Rotor Vibration,” J. Comput. Struct., 86, pp. 463–472. [CrossRef]
Lim, S., Park, S. M., and Kim, K., 2005, “AI Vibration Control of High-Speed Rotor Systems Using Electro Rheological Fluid,” J. Sound Vib., 284, pp. 685–703. [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]
Wang, J., and Meng, G., 2003, “Experimental Study on Stability of an MR Fluid Damper-Rotor-Journal Bearing System,” J. Sound Vib., 262, pp. 999–1007. [CrossRef]
Wang, J., and Meng, G., 2005, “Study of Vibration Control of a Rotor System Using a Magnetorheological Fluid Damper,” J. Vib. Control, 11, pp. 263–276. [CrossRef]
Wang, J., Meng, G., Feng, N., and Hahn, E. J., 2005, “Dynamic Performance and Control of Squeeze Mode MR Fluid Damper-Rotor System,” Smart Mater. Struct., 14, pp. 529–539. [CrossRef]
Carmignani, C., Forte, P., and Rustighi, E., 2006, “Design of a Novel Magneto-Rheological Squeeze Film Damper,” Smart Mater. Struct., 15, pp. 164–170. [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,” J. Smart Material Structure, 17, p. 035006. [CrossRef]
Kim, K. J., and Lee, C. W., 2005, “Unbalance Response Control in High Speed Gas Turbine System Using Magnetorheological Fluid Based Semi-Active Squeeze Film Damper,” ISCORMA-3, Cleveland, OH, September 19–23.
Ghaednia, H., and Ohadi, A. R., 2010, “Effect of Thermal Growth on Vibration Behavior of Flexible Rotor System Mounted on MR Squeeze Film Damper,” Proceedings of the 10th Biennial ASME Conference on Engineering Systems Design and Analysis (ESDA2010), Istanbul, Turkey, July 12–14, ASME Paper No. ESDA2010-24864, pp. 567–576 [CrossRef].
Ghaednia, H., and Ohadi, A. R., 2012, “Vibration Behavior of Flexible Rotor System Mounted on MR Squeeze Film Damper With Thermal Growth Effect,” ASME J. Vibr. Acoust., 134, p. 011015. [CrossRef]
Slotine, J. J. E., and Li, W., 1991, Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, Chap. 7.


Grahic Jump Location
Fig. 1

Schematic view of the squeeze film damper [18]

Grahic Jump Location
Fig. 2

Variation of the Bingham correction factor versus the (a) eccentricity ratio, (b) electrical current, and (c) rotational speed (for each parameter; the other two parameters are fixed)

Grahic Jump Location
Fig. 3

Variation of the pressure distribution for different values of the rotational speed, eccentricity ratio, and electrical current (num.: numerical solution of Eq. (2); est.: estimated model based on Eq. (4))

Grahic Jump Location
Fig. 4

Radial and tangential force variation for different values of rotational speed and electric current (num.: numerical solution of Eq. (2); est.: estimated model based on Eq. (4))

Grahic Jump Location
Fig. 5

Schematic of the rotor bearing system assembled on the MR damper [18]

Grahic Jump Location
Fig. 6

Time domain analysis for ω = 995rpm: (a) displacement of the disk center (w: displacement in the x direction, v: displacement in the y direction), (b) eccentricity ratio of the damper, and (c) the electrical current

Grahic Jump Location
Fig. 7

Frequency response of the system for the SMC, the PID controller, and no control (I = 0(A)) conditions

Grahic Jump Location
Fig. 8

Frequency response of the rotor in the presence of uncertainty in the stiffness of the foundation (the SMC compared to the no control (I = 0(A)) condition)

Grahic Jump Location
Fig. 9

Frequency response of the rotor in the presence of uncertainty in the MR fluid temperature (the SMC compared to the no control (I = 0(A)) condition)

Grahic Jump Location
Fig. 10

Frequency response of the rotor in the presence of uncertainty in the stiffness of the foundation (the SMC in comparison with the PID controller)

Grahic Jump Location
Fig. 11

Frequency response of the rotor in the presence of uncertainty in the MR fluid temperature (the SMC in comparison with the PID controller)



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In