Research Papers: Hydrodynamic Lubrication

Nonlinear Dynamic Behavior of a Flexible Shaft Supported by Smart Hydrostatic Squeeze Film Dampers

[+] Author and Article Information
A. Bouzidane

Research Laboratory of Industrial Technologies,
Department of Science and Technology,
Ibn Khaldun's Universit of Tiaret,
BP 78 Tiaret, 14000, Algeria,
e-mail: ahmed.bouzidane@gmail.com

M. Thomas

Department of Mechanical Engineering,
École de Technologie Supérieure,
1100 Notre-Dame Street West,
Montreal, QC, H3C 1K3, Canada
e-mail: marc.thomas@etsmtl.ca

Contributed by the Tribology Division of ASME for publication in the Journal of Tribology. Manuscript received September 12, 2012; final manuscript received January 5, 2013; published online March 28, 2013. Assoc. Editor: Luis San Andres.

J. Tribol 135(3), 031701 (Mar 28, 2013) (9 pages) Paper No: TRIB-12-1147; doi: 10.1115/1.4023805 History: Received September 12, 2012; Revised January 05, 2013

The aim of this research is to study the nonlinear dynamic behavior of a flexible shaft supported by smart hydrostatic squeeze film dampers, which are filled with a negative electrorheological fluid (NERF). A nonlinear model of the hydrostatic squeeze film damper has been developed in order to study the effect of the electrorheological fluid on the dynamic behavior of a flexible shaft. The results obtained are discussed and compared with the linear model, which is restricted to only small vibrations around the equilibrium position. A new smart hydrostatic squeeze film damper is proposed to reduce the transient response of the shaft and transmitted forces by applying an electric field to the NER fluid, which results in modifying its viscosity. The results show that it is possible to effectively monitor the electric field and the viscosity of the fluid inside the hydrostatic squeeze film dampers (HSFD) for a better control of flexible shaft vibration and bearing transmitted forces.

Copyright © 2013 by ASME
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Fig. 1

NER hydrostatic squeeze film damper geometry and nomenclature

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Fig. 2

Variation of the viscosity of the negative electrorheological fluid with the electric field (a3=-8.410-12,a2=7.410-8,a1=-2.2610-4, and a0=0.3)

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Fig. 3

Boundary conditions of hydrostatic squeeze film dampers

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Fig. 4

Flow chart for the nonlinear process

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Fig. 5

Schematic diagram of the model of shaft-bearings system

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Fig. 6

Campbell diagram (E=0,1.5,and 3 kV/mm)

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Fig. 7

Transient response of the middle of the shaft versus speed and time (E=0 kV/mm)

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Fig. 8

Transient response of the shaft in the NER-HSFD versus speed and time (E=0 kV/mm)

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Fig. 9

Force transmitted to the NER-HSFD versus speed and time (E=0 kV/mm)

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Fig. 10

Transient response of the shaft at the middle and inside the NER-HSFD and force transmitted versus speed and time

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Fig. 11

Response of the shaft in the NER-HSFD versus speed and time

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Fig. 12

Response of the middle of the shaft versus speed and time

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Fig. 13

Force transmitted to the NER-HSFD versus speed and time



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