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Research Papers: Elastohydrodynamic Lubrication

A Mixed-TEHL Analysis of Cam-Roller Contacts Considering Roller Slip: On the Influence of Roller-Pin Contact Friction

[+] Author and Article Information
Shivam S. Alakhramsing

Laboratory for Surface Technology and
Tribology,
Faculty of Engineering Technology,
University of Twente,
P.O. Box 217,
Enschede 7500 AE, The Netherlands
e-mail: s.s.alakhramsing@utwente.nl

Matthijn B. de Rooij, Aydar Akchurin, Dirk J. Schipper

Laboratory for Surface Technology and
Tribology,
Faculty of Engineering Technology,
University of Twente,
P.O. Box 217,
Enschede 7500 AE, The Netherlands

Mark van Drogen

Central Laboratory Metals,
DAF Trucks N.V.,
P.O. Box 90065,
Eindhoven 5600 PT, The Netherlands

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received February 12, 2018; final manuscript received July 23, 2018; published online August 24, 2018. Assoc. Editor: Longqiu Li.

J. Tribol 141(1), 011503 (Aug 24, 2018) (15 pages) Paper No: TRIB-18-1067; doi: 10.1115/1.4040979 History: Received February 12, 2018; Revised July 23, 2018

In this work, a mixed lubrication model, applicable to cam-roller contacts, is presented. The model takes into account non-Newtonian, thermal effects, and variable roller angular velocity. Mixed lubrication is analyzed using the load sharing concept, using measured surface roughness. Using the model, a quasi-static analysis for a heavily loaded cam-roller follower contact is carried out. The results show that when the lubrication conditions in the roller-pin contact are satisfactory, i.e., low friction levels, then the nearly “pure rolling” condition at the cam-roller contact is maintained and lubrication performance is also satisfactory. Moreover, non-Newtonian and thermal effects are then negligible. Furthermore, the influence of roller-pin friction coefficient on the overall tribological behavior of the cam-roller contact is investigated. In this part, a parametric study is carried out in which the friction coefficient in the roller-pin contact is varied from values corresponding to full film lubrication to values corresponding to boundary lubrication. Main findings are that at increasing friction levels in the roller-pin contact, there is a sudden increase in the slide-to-roll ratio (SRR) in the cam-roller contact. The value of the roller-pin friction coefficient at which this sudden increase in SRR is noticed depends on the contact force, the non-Newtonian characteristics, and viscosity–pressure dependence. For roller-pin friction coefficient values higher than this critical value, inclusion of non-Newtonian and thermal effects becomes highly important. Furthermore, after this critical level of roller-pin friction, the lubrication regime rapidly shifts from full film to mixed lubrication. Based on the findings in this work, the importance of ensuring adequate lubrication in the roller-pin contact is highlighted as this appears to be the critical contact in the cam-follower unit.

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References

Andersson, B. , 1991, “ Paper Xviii (Iii) Company Perspectives in Vehicle Tribology-Volvo,” Tribol. Ser., 18, pp. 503–506. [CrossRef]
Duffy, P. E. , 1993, “ An Experimental Investigation of Sliding at Cam to Roller Tappet Contacts,” SAE Paper No. 930691.
Khurram, M. , Mufti, R. A. , Zahid, R. , Afzal, N. , and Bhutta, U. , 2015, “ Experimental Measurement of Roller Slip in End-Pivoted Roller Follower Valve Train,” Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 229(9), pp. 1047–1055. [CrossRef]
Lee, J. , and Patterson, D. J. , 1995, “ Analysis of Cam/Roller Follower Friction and Slippage in Valve Train Systems,” SAE Paper No. 951039.
Chiu, Y. , 1992, “ Lubrication and Slippage in Roller Finger Follower Systems in Engine Valve Trains,” Tribol. Trans., 35(2), pp. 261–268. [CrossRef]
Ji, F. , and Taylor, C. , 1998, “ A Tribological Study of Roller Follower Valve Trains—Part 1: A Theoretical Study With a Numerical Lubrication Model Considering Possible Sliding,” Tribol. Ser., 34, pp. 489–499. [CrossRef]
Turturro, A. , Rahmani, R. , Rahnejat, H. , Delprete, C. , and Magro, L. , 2012, “ Assessment of Friction for Cam-Roller Follower Valve Train System Subjected to Mixed Non-Newtonian Regime of Lubrication,” ASME Paper No. ICES2012-81050.
Torabi, A. , Akbarzadeh, S. , and Salimpour, M. , 2017, “ Comparison of Tribological Performance of Roller Follower and Flat Follower Under Mixed Elastohydrodynamic Lubrication Regime,” Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 231(8), pp. 986–996. [CrossRef]
Alakhramsing, S. S. , de Rooij, M. B. , Schipper, D. J. , and van Drogen, M. , 2017, “ A Full Numerical Solution to the Coupled Cam–Roller and Roller–Pin Contact in Heavily Loaded Cam–Roller Follower Mechanisms,” Proc. Inst. Mech. Eng., Part J, 208–210, pp. 1–12.
Alakhramsing, S. S. , de Rooij, M. B. , Schipper, D. J. , and van Drogen, M. , 2017, “ Lubrication and Frictional Analysis of Cam–Roller Follower Mechanisms,” Proc. Inst. Mech. Eng., Part J, 232(3), pp. 347–363. [CrossRef]
Johnson, K. , Greenwood, J. , and Poon, S. , 1972, “ A Simple Theory of Asperity Contact in Elastohydro-Dynamic Lubrication,” Wear, 19(1), pp. 91–108. [CrossRef]
Habchi, W. , 2008, “ A Full-System Finite Element Approach to Elastohydrodynamic Lubrication Problems,” Ph.D. thesis, L 'Institut National des Sciences Appliquées de Lyon, Villeurbanne, France. http://www.theses.fr/2008ISAL0038
Masjedi, M. , and Khonsari, M. , 2012, “ Film Thickness and Asperity Load Formulas for Line-Contact Elastohydrodynamic Lubrication With Provision for Surface Roughness,” ASME J. Tribol., 134(1), p. 011503. [CrossRef]
Brandt, A. , and Lubrecht, A. , 1990, “ Multilevel Matrix Multiplication and Fast Solution of Integral Equations,” J. Comput. Phys., 90(2), pp. 348–370. [CrossRef]
Habchi, W. , 2017, “ Coupling Strategies for Finite Element Modeling of Thermal Elastohydrodynamic Lubrication Problems,” ASME J. Tribol., 139(4), p. 041501. [CrossRef]
Peiran, Y. , and Shizhu, W. , 1990, “ A Generalized Reynolds Equation for Non-Newtonian Thermal Elastohydrodynamic Lubrication,” ASME J. Tribol., 112(4), pp. 631–636. [CrossRef]
Wu, S. , 1986, “ A Penalty Formulation and Numerical Approximation of the Reynolds-Hertz Problem of Elastohydrodynamic Lubrication,” Int. J. Eng. Sci., 24(6), pp. 1001–1013. [CrossRef]
Bayada, G. , and Chupin, L. , 2013, “ Compressible Fluid Model for Hydrodynamic Lubrication Cavitation,” ASME J. Tribol., 135(4), p. 041702. [CrossRef]
Profito, F. J. , Vlădescu, S.-C. , Reddyhoff, T. , and Dini, D. , 2017, “ Transient Experimental and Modelling Studies of Laser-Textured Micro-Grooved Surfaces With a Focus on Piston-Ring Cylinder Liner Contacts,” Tribol. Int., 113, pp. 125–136. [CrossRef]
Alakhramsing, S. S. , de Rooij, M. B. , Schipper, D. J. , and van Drogen, M. , “ Elastohydrodynamic Lubrication of Coated Finite Line Contacts,” Proc. Inst. Mech. Eng., Part J, (epub).
Bobach, L. , Beilicke, R. , Bartel, D. , and Deters, L. , 2012, “ Thermal Elastohydrodynamic Simulation of Involute Spur Gears Incorporating Mixed Friction,” Tribol. Int., 48, pp. 191–206. [CrossRef]
Akchurin, A. , Bosman, R. , Lugt, P. M. , and van Drogen, M. , 2015, “ On a Model for the Prediction of the Friction Coefficient in Mixed Lubrication Based on a Load-Sharing Concept With Measured Surface Roughness,” Tribol. Lett., 59(1), p. 19. [CrossRef]
Liu, S. , 2001, “ Thermomechanical Contact Analyses of Rough Bodies,” Ph.D. thesis, Northwestern University, Evanston, IL.
Polonsky, I. , and Keer, L. , 1999, “ A Numerical Method for Solving Rough Contact Problems Based on the Multi-Level Multi-Summation and Conjugate Gradient Techniques,” Wear, 231(2), pp. 206–219. [CrossRef]
Masjedi, M. , and Khonsari, M. , 2014, “ Theoretical and Experimental Investigation of Traction Coefficient in Line-Contact Ehl of Rough Surfaces,” Tribol. Int., 70, pp. 179–189. [CrossRef]
Wang, Y. , Li, H. , Tong, J. , and Yang, P. , 2004, “ Transient Thermoelastohydrodynamic Lubrication Analysis of an Involute Spur Gear,” Tribol. Int., 37(10), pp. 773–782. [CrossRef]
Kaneta, M. , Shigeta, T. , and Yang, P. , 2006, “ Film Pressure Distributions in Point Contacts Predicted by Thermal Ehl Analyses,” Tribol. Int., 39(8), pp. 812–819. [CrossRef]
Sadeghi, F. , and Dow, T. A. , 1987, “ Thermal Effects in Rolling/Sliding Contacts—Part 2: Analysis of Thermal Effects in Fluid Film,” ASME J. Tribol., 109(3), pp. 512–517. [CrossRef]
Rong-Tsong, L. , and Chao-Ho, H. , 1993, “ A Fast Method for the Analysis of Thermal-Elastohydrodynamic Lubrication of Rolling/Sliding Line Contacts,” Wear, 166(1), pp. 107–117. [CrossRef]
Wolff, R. , and Kubo, A. , 1994, “ The Application of Newton-Raphson Method to Thermal Elastohydrodynamic Lubrication of Line Contacts,” ASME J. Tribol., 116(4), pp. 733–740. [CrossRef]
Chu, L.-M. , Hsu, H.-C. , Lin, J.-R. , and Chang, Y.-P. , 2009, “ Inverse Approach for Calculating Temperature in Ehl of Line Contacts,” Tribol. Int., 42(8), pp. 1154–1162. [CrossRef]
Masjedi, M. , and Khonsari, M. , 2015, “ An Engineering Approach for Rapid Evaluation of Traction Coefficient and Wear in Mixed Ehl,” Tribol. Int., 92, pp. 184–190. [CrossRef]
Xu, G. , and Sadeghi, F. , 1996, “ Thermal Ehl Analysis of Circular Contacts With Measured Surface Roughness,” ASME J. Tribol., 118(3), pp. 473–483. [CrossRef]
Zhai, X. , and Chang, L. , 2000, “ A Transient Thermal Model for Mixed-Film Contacts,” Tribol. Trans., 43(3), pp. 427–434. [CrossRef]
Zhu, D. , and Hu, Y.-Z. , 2001, “ A Computer Program Package for the Prediction of Ehl and Mixed Lubrication Characteristics, Friction, Subsurface Stresses and Flash Temperatures Based on Measured 3-D Surface Roughness,” Tribol. Trans., 44(3), pp. 383–390. [CrossRef]
Wang, W.-Z. , Liu, Y.-C. , Wang, H. , and Hu, Y.-Z. , 2004, “ A Computer Thermal Model of Mixed Lubrication in Point Contacts,” ASME J. Tribol., 126(1), pp. 162–170. [CrossRef]
Wang, W-Z. , Hu, Y-Z. , Liu, Y-C. , and Wang, H. , 2007, “ Deterministic Solutions and Thermal Analysis for Mixed Lubrication in Point Contacts,” Tribol. Int., 40(4), pp. 687–693. [CrossRef]
Li, S. , Kahraman, A. , Anderson, N. , and Wedeven, L. , 2013, “ A Model to Predict Scuffing Failures of a Ball-on-Disk Contact,” Tribol. Int., 60, pp. 233–245. [CrossRef]
Wang, X. , Liu, Y. , and Zhu, D. , 2017, “ Numerical Solution of Mixed Thermal Elastohydrodynamic Lubrication in Point Contacts With Three-Dimensional Surface Roughness,” ASME J. Tribol., 139(1), p. 011501. [CrossRef]
Gu, C. , Meng, X. , Xie, Y. , and Fan, J. , 2016, “ A Thermal Mixed Lubrication Model to Study the Textured Ring/Liner Conjunction,” Tribol. Int., 101, pp. 178–193. [CrossRef]
Guo, F. , Yang, P. , and Qu, S. , 2001, “ On the Theory of Thermal Elastohydrodynamic Lubrication at High Slide-Roll Ratios-Circular Glass-Steel Contact Solution at Opposite Sliding,” ASME J. Tribol., 123(1), pp. 816–821. [CrossRef]
Cheng, H. , 1965, “ A Refined Solution to the Thermal-Elastohydrodynamic Lubrication of Rolling and Sliding Cylinders,” ASLE Trans., 8(4), pp. 397–410. [CrossRef]
Gelinck, E. , and Schipper, D. , 2000, “ Calculation of Stribeck Curves for Line Contacts,” Tribol. Int., 33(3–4), pp. 175–181. [CrossRef]
Akbarzadeh, S. , and Khonsari, M. , 2008, “ Thermoelastohydrodynamic Analysis of Spur Gears With Consideration of Surface Roughness,” Tribol. Lett., 32(2), pp. 129–141. [CrossRef]
Dowson, D. , and Higginson, G. R. , 1966, Elasto-Hydrodynamic Lubrication: The Fundamentals of Roller and Gear Lubrication, Vol. 23, Oxford, Pergamon Press, Turkey.
Eyring, H. , 1936, “ Viscosity, Plasticity, and Diffusion as Examples of Absolute Reaction Rates,” J. Chem. Phys., 4(4), pp. 283–291. [CrossRef]
Carreau, P. J. , 1972, “ Rheological Equations From Molecular Network Theories,” Trans. Soc. Rheol., 16(1), pp. 99–127. [CrossRef]
Bair, S. , and Winer, W. , 1979, “ Shear Strength Measurements of Lubricants at High Pressure,” ASME J. Lubr. Technol., 101(3), pp. 251–257. [CrossRef]
Bair, S. , and Winer, W. , 1979, “ A Rheological Model for Elastohydrodynamic Contacts Based on Primary Laboratory Data,” ASME J. Lubr. Technol., 101(3), pp. 258–264. [CrossRef]
Roelands, C. J. A. , 1966, “ Correlational Aspects of the Viscosity-Temperature-Pressure Relationship of Lubricating Oils,” Ph.D. thesis, Delft University of Technology, Delft, The Netherlands. https://repository.tudelft.nl/islandora/object/uuid:1fb56839-9589-4ffb-98aa-4a20968d1f90/
Lohner, T. , Ziegltrum, A. , Stemplinger, J.-P. , and Stahl, K. , 2016, “ Engineering Software Solution for Thermal Elastohydrodynamic Lubrication Using Multiphysics Software,” Adv. Tribol., 2016, p. 13.
Johnson, K. , and Spence, D. , 1991, “ Determination of Gear Tooth Friction by Disc Machine,” Tribol. Int., 24(5), pp. 269–275. [CrossRef]
Gelinck, E. R. M. , 1991, “ Mixed Lubrication of Line Contacts,” Ph.D. thesis, University of Twente, Enschede, The Netherlands. https://research.utwente.nl/en/publications/mixed-lubricated-line-contacts
Greenwood, J. , and Williamson, J. P. , 1966, “ Contact of Nominally Flat Surfaces,” Proc. R. Soc. Lond. A, 295(1442), pp. 300–319. [CrossRef]
Alakhramsing, S. S. , de Rooij, M. B. , van Drogen, M. , and Schipper, D. J. , 2018, “ On the Influence of Stick-Slip Transitions in Mixed-Friction Predictions of Heavily Loaded Cam-Roller Contacts,” Proc. Inst. Mech. Eng., Part J, (epub).

Figures

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Fig. 1

Cam-roller follower configuration showing the frictional forces acting at the cam-roller and roller-pin contact

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Fig. 2

Equivalent geometry for EHL analysis of the infinite line contact problem. The dimensions are exaggerated for the sake of clarity.

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Fig. 3

Schematic view of the surfaces which are in contact. z(x, y) represents the surface roughness heights, hs the separating distance and the deflection u(x, y) = z(x, y) – hs (x, y).

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Fig. 4

Relationship between the mean contact pressure p¯a and film thickness h

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Fig. 5

Computational domain for the thermal model

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Fig. 6

Numerical solution scheme for the cam-roller lubrication model

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Fig. 7

Surface roughness influence curve “h−p¯a curve” calculated from the work of Gelinck [53]

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Fig. 8

Comparison model predictions and experiments [52,53] for (a) Stribeck curves and (b) traction curves

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Fig. 9

Variation of the lift, reduced radius of curvature Rx, cam surface speed uc, and contact force F as a function of cam angle θ

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Fig. 10

Measured surface roughness for (a) base circle, (b) nose center, and (c) roller

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Fig. 11

(a) Surface roughness influence curves “h−p¯a curves” and (b) interpolation function g for the mapping of “h−p¯a curves” against cam angle

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Fig. 12

Evolution of crucial design variables such as (a) film thicknesses hcent and hmin, (b) asperity load ratio Fa/F and SRR, (c) maximum total pressure pmax, and (d) maximum contact temperature Tmax, as a function of the cam angle θ

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Fig. 13

Snapshot of the asperity P¯a, hydrodynamic Ph and total pressure P distributions, together with the dimensionless film thickness distribution H at 63.5 deg cam angle

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Fig. 14

Variation of crucial design variables such as (a) the SRR, (b) central film thickness hcent, (c) asperity load ratio Fa/F, and (d) maximum contact temperature Tmax, as a function of the roller-pin friction coefficient fr–p. Results are presented for 0 deg cam angle.

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Fig. 15

Variation of crucial design variables such as (a) the SRR, (b) central film thickness hcent, (c) asperity load ratio Fa/F, and (d) maximum contact temperature Tmax, as a function of the roller-in friction coefficient fr–p. Results are presented for 63.5 deg cam angle.

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