Research Papers: Friction and Wear

Frictional Hysteresis Model for Stick–Slip Behavior of Magnetorheological Elastomer Under Various Magnetic Field Strengths

[+] Author and Article Information
Jinwoo Lim, Kwang-Hee Lee

Department of Mechanical Engineering,
Inha University,
253 Yonghyeon-dong,
Incheon 402-751, Nam-gu, South Korea

Chul-Hee Lee

Department of Mechanical Engineering,
Inha University,
253 Yonghyeon-dong,
Incheon 402-751, Nam-gu, South Korea
e-mail: chulhee@inha.ac.kr

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received June 16, 2017; final manuscript received September 25, 2017; published online December 20, 2017. Assoc. Editor: Sinan Muftu.

J. Tribol 140(3), 031607 (Dec 20, 2017) (9 pages) Paper No: TRIB-17-1236; doi: 10.1115/1.4038352 History: Received June 16, 2017; Revised September 25, 2017

In recent studies, many mathematical models have been introduced to describe the shear deformation characteristics of a magnetorheological elastomer (MRE). Owing to its beneficial elastomeric characteristics, an MRE can be adopted in novel controllable devices such as friction dampers and brakes. In this study, mathematical models are introduced to identify the frictional behavior of an MRE under different magnetic field conditions. Specifically, the improved LuGre (I-LuGre) model and the strain-stiffening model are compared using a system identification method. To identify the model that best describes the stick/slip behavior of an MRE, a harmonic frictional force was exerted on its surface with magnetic fields of varying strength. The I-LuGre model showed a precise correlation with the experimental results, and the strain-stiffening model was shown to have a simple structure for describing the frictional phenomenon. The system output error of the I-LuGre model remained within smaller errors than that of the strain-stiffening model. The parameter variations of each model that can be utilized to construct a control strategy are provided herein.

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Fig. 2

Experimental device

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Fig. 3

Schematic diagram of experimental device

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Fig. 4

Velocity profile of linear motion

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Fig. 5

Comparison of (a) hysteresis of shear deformation with friction and (b) hysteresis of shear deformation

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Fig. 6

(a) Coulomb friction and (b) friction with Stribeck effect

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Fig. 7

Surface contact described using elastic bristle z

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Fig. 8

Nonlinear spring response

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Fig. 9

Strain-stiffening model

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Fig. 10

Improved LuGre (I-LuGre) parameter estimation: (a) 0.1, (b) 0.25, (c) 0.5, (d) 0.75, and (e) 1 Hz

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Fig. 11

Strain-stiffening model estimation: (a) 0.1, (b) 0.25, (c) 0.5, (d) 0.75, and (e) 1 Hz

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Fig. 12

(a) Displacement error of I-LuGre and (b) strain-stiffening models

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Fig. 13

I-LuGre model parameter variations due to different magnetic field strengths of (a) 0.1, (b) 0.25, (c) 0.5, (d) 0.75, and (e) 1 Hz

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Fig. 14

Strain-stiffening model parameter variations under different conditions: (a) α, (b) co, and (c) ko



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