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Research Papers: Fluid-Structure Interaction

Numerical Analysis of Fretting-Wear With a Hybrid Elastoplastic Friction Model

[+] Author and Article Information
Reza Azizian

BWC/AECL/NSERC Chair
of Fluid-Structure Interaction,
Department of Mechanical Engineering,
École Polytechnique de Montréal,
Montreal, Canada
e-mail: reza.azizian@polymtl.ca

Njuki Mureithi

BWC/AECL/NSERC Chair
of Fluid-Structure Interaction,
Department of Mechanical Engineering,
École Polytechnique de Montréal,
Montreal, Canada
e-mail: njuki.mureithi@polymtl.ca

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received May 28, 2012; final manuscript received September 12, 2013; published online February 28, 2014. Assoc. Editor: Hardayal S. Mehta.

J. Pressure Vessel Technol 136(3), 031303 (Feb 28, 2014) (11 pages) Paper No: PVT-12-1074; doi: 10.1115/1.4025446 History: Received May 28, 2012; Revised September 12, 2013

Fretting-wear is a common problem in different industries, especially when it comes to interactions between metallic components. Flow-induced excitation forces in heat exchangers for instance cause tube-support interactions. The long-term interaction is an important phenomenon, which may cause fretting-wear of the tubes. Experimental tests of the interaction show the occurrence of stick–slip intermittent behavior in the tube response. To precisely simulate the intermittent stick–slip behavior, it is crucial to refine the conceptual model of the coefficient of friction for the entire motion from absolute zero velocity to gross slip phase. The incorporated friction model plays an important role in the determination of the level of fretting-wear in the system. The friction model should satisfy two important criteria. The first important aspect is the strategy of the friction model to detect the cessation of sticking, the beginning of partial-slipping, and establishment of the sliding region. The second important aspect is defining a friction coefficient function for the entire system response to precisely represent the transient stick–slip regions. In the present work, the velocity-limited friction model was compared with the LuGre model, which is a rate-dependent friction model. The effect of varying the break-away force and Stribeck effect on the stick–slip region were also investigated. Furthermore, the criteria to demarcate the stick–slip region in the LuGre model are discussed, and a different method to incorporate the Stribeck effect and presliding damping in the Dahl friction model is proposed. Using the tangential stress distribution in the contact area, a new hybrid spring-damper friction model is developed. The model is able to estimate the elastic, plastic, and partial-slipping distances during the relative motion. The ability of the model to reproduce experimental tests is investigated in the present work.

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Figures

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Fig. 1

Stribeck velocity effect on switching from stick state to slip state

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Fig. 2

Mass–spring system

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Fig. 3

Break-away forces comparison for the velocity-limited friction model and the LuGre model with different pulling velocity: (a) vp = 0.1 m/s2, (b) vp = 0.2 m/s2, and (c) vp = 0.4 m/s2

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Fig. 4

Slipping time for LuGre model and velocity-limited friction model: (a) the LuGre slipping time; (b) the VLFM slipping time; and (c) difference between the LuGre and VLFM

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Fig. 5

Slipping time comparison VLFM and LuGre: (1) chirp [1,5]; (2) chirp [1,10]; (3) chirp [1,20]; and (4) chirp [1,30]

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Fig. 6

Slipping time percentage versus logarithmic average bristle deflection

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Fig. 7

Spring-damper model equivalent to the LuGre model

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Fig. 8

Slipping time comparison between the LuGre and revised SDFM for different logarithmic rate of average bristle deflection

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Fig. 9

Cattaneo–Mindlin tangential stress distribution [39]

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Fig. 10

Stick and slip point in contact region [28]

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Fig. 11

Two flat surfaces in contact

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Fig. 12

Tangential stress distribution for a flat punch [28]

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Fig. 13

Displacement field in the contact area and hybrid spring-damper model

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Fig. 14

New hybrid spring-damper friction model

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Fig. 15

Displacement comparison between the LuGre and the new friction models

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Fig. 16

Elastic, plastic, and partial-slipping displacement

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Fig. 17

Displacement comparison the LuGre and new friction models

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Fig. 18

Presliding displacement in the LuGre model and new hybrid friction model

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Fig. 19

New hybrid friction model, friction model by Ozaki and Hashiguchi [13], and experimental comparison by Baumberger et al. [9]

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Fig. 20

K–V dynamic phase diagram for the stick–slip stability for the experimental test by Baumberger et al. [9], the model by Lim and Chen [12], and hybrid spring-damper model

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