Research Papers: Fluid-Structure Interaction

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

[+] Author and Article Information
Reza Azizian

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

Njuki Mureithi

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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Ko, P. L., 1987, “Metallic Wear-A Review, With Special References to Vibration-Induced Wear in Power Plant Components,” Tribol. Int., 20(2), pp. 66–78. [CrossRef]
Gessesse, Y. B., 1997, “On the Fretting Wear of Nuclear Power Plant Heat Exchanger Tubes Using a Fracture Mechanics Approach: Theory and Verification,” Ph.D. thesis, Concordia University, Montreal, Quebec, Canada.
Suh, N. P., 1973, “The Delamination Theory of Wear,” Wear, 25(1), pp. 111–124. [CrossRef]
Gauland, D. J., and DuquetteD. J., 1980, “Cyclic Wear Behavior (Fretting) of a Tempered Martensite Steel,” Metall. Trans., 11(9), pp. 1581–1588. [CrossRef]
Fouvry, S., Kapsa, P., Zahouani, H., and Vincent, L., 1997, “Wear Analysis in Fretting of Hard Coatings Through a Dissipated Energy Concept,” Wear, 203–204, pp. 393–403. [CrossRef]
Fleming, J. R., and Suh, N. P., 1977, “Mechanics of Crack Propagation in Delamination Wear,” Wear, 44, pp. 39–56. [CrossRef]
Pettigrew, M. J., and Taylor, C. E., 2003, “Vibration Analysis of Shell-and-Tube Heat Exchangers: An Overview—Part 2: Vibration Response, Fretting-Wear, Guidelines,” J. Fluids Struct., 18(5), pp. 485–500. [CrossRef]
Haslinger, K. H., and Steininger, D. A., 1995, “Experimental Characterization of Sliding and Impact Friction Coefficients Between Steam Generator Tubes and Avb Supports,” J. Sound Vib., 181(5), pp. 851–871. [CrossRef]
Baumberger, T., Heslot, F., and Perrin, B., 1994, “Crossover From Creep to Inertial Motion in Friction Dynamics,” Nature, 367(6463), pp. 544–546. [CrossRef]
Heslot, F., Baumberger, T., and Perrin, B., 1994, “Creep, Stick-Slip, and Dry-Friction Dynamics: Experiments and a Heuristic Model,” Phys. Rev. E, 49(6), pp. 4973–4988. [CrossRef]
Rabinowicz, E., 1951, “The Nature of the Static and Kinetic Coefficients of Friction,” J. Appl. Phys., 22(11), pp. 1373–1379. [CrossRef]
Lim, Y. F., and Chen, K., 1998, “Dynamics of Dry Friction: A Numerical Investigation,” Phys. Rev. E, 58(5), pp. 5637–5642. [CrossRef]
Ozaki, S., and Hashiguchi, K., 2010, “Numerical Analysis of Stick-Slip Instability by a Rate-Dependent Elastoplastic Formulation for Friction,” Tribol. Int., 43(11), pp. 2120–2133. [CrossRef]
De Wit, C. C., Olsson, H., Astrom, K. J., and Lischinsky, P., 1995, “A New Model for Control of Systems With Friction,” IEEE Trans. Autom. Control, 40(3), pp. 419–425. [CrossRef]
Rogers, R. J., and Pick, R. J., 1977, “Factors Associated With Support Plate Forces Due to Heat-Exchanger Tube Vibratory Contact,” Nucl. Eng. Des., 44(2), pp. 247–253. [CrossRef]
Sauve, R. G., and Teper, W. W., 1987, “Impact Simulation of Process Equipment Tubes and Support Plates—A Numerical Algorithm,” ASME J. Pressure Vessel Technol., 109(1), pp. 70–79. [CrossRef]
Toorani, M., Pan, L., Li, R., Vincent, B., and Idvorian, N., 2009, “Advanced Nonlinear Flow-Induced Vibration and Fretting-Wear Analysis Capabilities,” 6th CNS International Steam Generator Conference, Toronto, Canada.
Mindlin, R. D., 1949, “Compliance of Elastic Bodies in Contact,” ASME J. Appl. Mech., 16(3), pp. 259–268.
Ödfalk, M., and Vingsbo, O., 1992, “An Elastic-Plastic Model for Fretting Contact,” Wear, 157(2), pp. 435–444. [CrossRef]
Mindlin, R. D., and Deresiewicz, H., 1953, “Elastic Spheres in Contact under Varying Oblique Forces,” ASME J. Appl. Mech., 20, pp. 327–344.
De Wit, C. C., Olsson, H., Astrom, K. J., and Lischinsky, P., 1995, “A New Model for Control of Systems With Friction,” IEEE Trans. Autom. Control, 40(3), pp. 419–425. [CrossRef]
Astrom, K. J., and De Wit, C. C., 2008, “Revisiting the LuGre Friction Model,” IEEE Control Syst. Mag., 28(6), pp. 101–114. [CrossRef]
Hassan, M. A., and Rogers, R. J., 2005, “Friction Modelling of Preloaded Tube Contact Dynamics,” Nucl. Eng. Des., 235(22), pp. 2349–2357. [CrossRef]
Tan, X., and Rogers, R., 1996, “Dynamic Friction Modelling in Heat Exchanger Tube Simulations,” ASME Flow-Induced Vibrations, Montreal, Canada, ASME, New York, NY, pp. 347–358.
Tariku, F. A., and Rogers, R. J., 2001, “Improved Dynamic Friction Models for Simulation of One-Dimensional and Two-Dimensional Stick-Slip Motion,” ASME J. Tribol., 123(4), pp. 661–669. [CrossRef]
Karnopp, D., 1985, “Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems,” ASME J. Dyn. Syst., Meas., Control, 107(1), pp. 100–103. [CrossRef]
Antunes, J., Axisa, F., Beaufils, B., and Guilbaud, D., 1990, “Coulomb Friction Modelling in Numerical Simulations of Vibration and Wear Work Rate of Multispan Tube Bundles, J. Fluids Struct., 4(3), pp. 287–304. [CrossRef]
Johnson, K. L., 1985, Contact Mechanics, Cambridge University, Cambridge, England.
Johnson, K. L., Kendall, K., and Roberts, A. D., 1971, “Surface Energy and the Contact of Elastic Solids,” Proc. R. Soc. London, 324(1558), pp. 301–313. [CrossRef]
Rice, J. R., and Ruina, A. L., 1983, “Stability of Steady Frictional Slipping,” ASME J. Appl. Mech., 50(2), pp. 343–349. [CrossRef]
Armstrong-Helouvry, B., 1991, Control of Machines With Friction, Kluwer, Boston, MA.
Armstrong, B., Control of Machines With Non-Linear, Low-Velocity Friction: A Dimensional Analysis, in Experimental Robotics I1990, Springer, Heidelberg, Germany, pp. 180–195.
Armstrong, D., and Canudas, C., 1994, “A Survey of Models, Analysis Tools and Compensation Methods for the Control of Machines With Friction,” Automatica, 30(7), pp. 1083–1138. [CrossRef]
Johannes, V. I., Green, M. A., and Brockley, C. A., 1973, “The Role of the Rate of Application of the Tangential Force in Determining the Static Friction Coefficient,” Wear, 24(3), pp. 381–385. [CrossRef]
Wojewoda, J., Stefański, A., Wiercigroch, M., and Kapitaniak, T., 2008, “Hysteretic Effects of Dry Friction: Modelling and Experimental Studies,” Philos. Trans. R. Soc. London, Ser. A, 366(1866), pp. 747–765. [CrossRef]
Dahl, P. R., 1968, “A Solid Friction Model,” Space and Missile Systems Organization Air Force Systems Command, Technical Report TR-77-131.
Ödfalk, M., and Vingsbo, O., 1990, “Influence of Normal Force and Frequency in Fretting,” Tribol. Trans., 33(4), pp. 604–610. [CrossRef]
Johnson, K. L., 1961 “Energy Dissipation at Spherical Surfaces in Contact Transmitting Oscillating Forces,” J. Mech. Eng. Sci., 3(4), pp. 362–368. [CrossRef]
Johnson, K. L., 1955, “Surface Interaction Between Elastically Loaded Bodies Under Tangential Forces,” Proc. R. Soc. London, Ser. A, 230(1183), pp. 531–548. [CrossRef]


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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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