Effect of pressure changes in sliding contact

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    The sliding contact when the air together with wear particles flow in contact area between commutator and brush is considered. The dynamical interaction between two surfaces is probabilistic. The behaviour of space-time-varying process is described by the differential equations, which are generally very difficult to solve. The simple numerical solution applying the method of Galerkin approximation to estimate the change in the pressure field in thin contact layer is obtained. It was found that under the leading edge of the brush the pressure change doesn’t exceed 0.07 of the maximum value. The numerical simulations of the absolute error are presented for the 0.1, 0.2, 0.5, and 1 of the relative length. The relative error of pressure changes for small contact area is smaller (1 – 0.8e 0.1τ). It is concluded that the approximate solution tends to the exact one. Moreover, it is shown that as the sliding velocity decreases, the relative error of the pressure change tends to the zero.



  • Keywords

    approximate error; numerical simulation; tribological process; debris.

  • References

      [1] Singer IL, Pollock HM (1992), Fundamentals of Friction: Macroscopic and Microscopic Processes, Springer, Dordrecht, pp. 3-18.
      [2] Mbamara US, Olofinjana B, Ajayi OO, et al (2015), Friction and wear behavior of nitrogen-doped ZnO thin films deposited via MOCVD under dry contact. Engineering Science and Technology, an International Journal 19(2), 956-963.
      [3] Kuciej M (2011), Accounting changes of pressure in time in one-dimensional modeling the process of friction heating of disc brake. Int J Heat Mass Tran 54(1-3), 468-74.
      [4] Lang A, Klppel M (2017), Influences of temperature and load on the dry friction behaviour of tire tread compounds in contact with rough granite. Wear 380-381, 15-25.
      [5] Stempfl← P, Pantal← O, Djilali T, Njiwa RK, Bourrat X, et al (2010), Evaluation of the real contact area in three-body dry friction by micro-thermal analysis. Tribol Int 43(10), 1794-1805.
      [6] Vick B, Furey MJ (2001), A basic theoretical study of the temperature rise in sliding contact with multiple contacts. Tribol Int 34, 823-829.
      [7] Biswas SK, Vijayan K (1992), Friction and wear of PTFE-a review. Wear 158, 193-211.
      [8] Yang A, Wang Y, Zi Y, Liang X (2017), Quantitative identification of slider nanoscale wear based on the head-disk interface dynamics, Tribol Int 116, 95-104.
      [9] Chen C-H, Karma A, Bouchbinder E (2017), Instability in dynamic fracture and the failure of the classical theory of cracks. Nat Phys 13, 1186-1190.
      [10] Sastry, DRVSRK, Venkataraman V, Kannan K, Srinivasu M (2015), Unsteady viscous dissipative dusty nanofluid flow over a vertical plate. Engineering Science and Technology, an International Journal, 8(5), 2008-2017.
      [11] Wu J, Peng Z (2013), Investigation of the geometries and surface topographies of UHMWPE wear particles. Tribol Int 66, 208-218.
      [12] Akchurin A, Bosman R, Lugt PM (2017), Generation of wear particles and running-in in mixed lubricated sliding contacts. Tribol Int 110, 201-208.
      [13] Zmitrowicz A (2005), Wear debris: a review of properties and constitutive models, J Theor Appl Mech-Pol 43(1), 3-35.
      [14] Liu Y, Song S, Timmers H (2016), Correlation of polymer wear-debris generation between micro-scratching and macroscopic wear. Tribol Int 93(A), 202-213.
      [15] Dwyer-Joyce RS (2005), The life cycle of a debris particle. Tribology and Interface Engineering Series 48, 681-690.
      [16] Mounji,M. Lahmili,A. Ouadif,L. Baba K, Bahi L (2015), Probabilistic approach for the selection of the shallow foundation's safety factor. Engineering Science and Technology, an International Journal 8(2), 1329-1334.
      [17] Zhu S-P, Huang H-Z, Ontiveros V, He L-P, Modarres M (2012), Probabilistic low cycle fatigue life prediction using an energy-based damage parameter and accounting for model uncertainty. Int J Damage Mech 21(8), 1128-1153.
      [18] Yasar I, Canakci A, Arslan F (2007), The effect of brush spring pressure on the wear behaviour of copper-graphite brushes with electrical current. Tribol Int 4(9), 1381-1386.
      [19] Siopis MJ, Neu RW (2015), Wear at high sliding speeds and high contact pressures. Wear 342-343, 356-563.
      [20] Waghmare, A.K., Sahoo, P (2015), Adhesive friction at the contact between rough surfaces using n-point asperity model. Engineering Science and Technology, an International Journal 18(3), 463-474.
      [21] Derler S, Sess J, Rao A, Rotaru G-M (2013), Influence of variations in the pressure distribution on the friction of the finger pad. Tribol Int 63, 14-20.
      [22] Bakar A, Ouyang H (2005), Prediction of disc brake contact pressure distributions by Finite Element Analysis. Jurnal Teknologi 43(A), 21-36.
      [23] Chiu H-C, Hsieh R-H, Wang K, Jang J-H, Yu C-R (2017), The heat transfer characteristics of liquid cooling heat sink with micro pin fins. Int.Comm. Heat Mass Transfer 86, 174-180.
      [24] Ting TW, Hung YM, Guo N (2015), Entropy generation of viscous dissipative nanofluid convection in asymmetrically heated porous microchannels with solid-phase heat generation. Energ Convers Manage 105, 731-745.
      [25] Shahmohamadi H, Rahmani R, Rahnejat H, Garner CP, Balodimos N (2017), Thermohydrodynamics of lubricant flow with carbon nanoparticles in tribological contacts. Tribol Int 113, 50-57.
      [26] Tauviqirrahman M, Muthik B, Muchammad M, Pratomo AW, Jamari J (2016), Effect of cavitation modelling on the prediction of the lubrication performance using CFD: A case study of journal bearing lubricated with non-newtonian. Engineering Science and Technology, an International Journal 8(6), 2541-2546.
      [27] Wu H, Wang L, Dong G, Yang S, Zhang J, Zhou B et al (2017), Lubrication effectiveness investigation on the friendly capped MoS2 nanoparticles. Lubr Sci 29, 115-129.
      [28] Zhou RS, Cheng HS, Mura T (1989), Micropitting in rolling and sliding contact under mixed lubrication. J Tribol 111(4), 605-613.
      [29] Sperka P, Omasta M, Krupka I, Hartl M (2016), Abnormal lubricant aggregation on roughness features in a rolling-sliding elastohydrodynamic contact. Tribol Int 94, 346-351.
      [30] Rowe KG, Bennett AI, Sawyer WG (2016), Traction and wear of elastomer in combined rolling and sliding. Lubr Sci 28, 97-106.
      [31] Beagley TM (1976), Severe wear of rolling/sliding contacts. Wear 36(3), 317-335.
      [32] Zhu WT, Guo LC, Shi LB, Cai ZB, Wang WJ (2018), Wear and damage transitions of two kinds of wheel materials in the rolling-sliding contact. Wear 398-399, 79-89.
      [33] Yu-xing P, Xiang-dong C, Zhen-cai Z, Da-gang W, Xian-sheng G, et al (2016), Sliding friction and wear behavior of winding hoisting rope in ultra-deep coal mine under different conditions. Wear 368-369, 423-434.
      [34] Lovell MR, Deng Z, Khonsari MM (2000), Experimental characterization of sliding friction: crossing from deformation to plowing contact. J Tribol 122(4), 856-863.
      [35] Narvaez A, Zauner T, Raischel F, Hilfer R, Harting J (2010), Quantitative analysis of numerical estimates for the permeability of porous media from lattice-Boltzmann simulations. J Stat Mech-Theory E, ? P11026.
      [36] Pu W, Zhu D, Wang J, Wang QJ (2016), Rolling-sliding contact fatigue of surfaces with sinusoidal roughness. Int J Fatigue 90, 57-68.
      [37] Popov VL (2010), Contact mechanics and friction: physical principles and applications. Springer-Verlag, Berlin, pp.2275-2304.
      [38] Zhang C, Jiang X, Wang L, Sun T, Gu L (2018), Effect of surface roughness on the start-stop behavior of air lubricated thrust micro-bearings. Tribol Int 119, 436-442.
      [39] Grandin M, Nedfors N, Sundberg J, Jansson U, Wiklund U (2015), Ti-Ni-C nanocomposite coatings evaluated in a sliding electrical contact application. Surf Coat Tech 276, 210-218.
      [40] Akchurin A, Bosman R, Lugt PM (2017), Generation of wear particles and running-in in mixed lubricated sliding contacts. Tribol Int 110, 201-208.
      [41] Greenwood JA, Putignano C, Ciavarella M (2011), A Greenwood & Williamson theory for line contact. Wear 270, 332-334.
      [42] Romanishina SA, Katyuk DY, Deeva VS, Slobodyan SM (2015), Dynamics layer of the sliding contact collector elements. 2015 IEEE 35th International Conference on Electronics and Nanotechnology - Conference Proceedings 7146848, 116-118. doi: 10.1109/ELNANO.2015.7146848.
      [43] Deeva V, Slobodyan S, Martikyan M (2016), Physical model of the sliding contact of conductors of the alloy Cu-Zr and Cu-Re under high current density. Mater Today-Proc 3(9,B), 3114-3120.
      [44] Deeva V, Slobodyan S (2017), Influence of gravity and thermodynamics on the sliding electrical contact. Tribol Int 105, 299-303.
      [45] Shin W-G, Le S-H (2011), Determination of accelerated condition for brush wear of small brush-type DC motor in using Design of Experiment (DOE) based on the Taguchi method. J Mech Sci Technol 25(2), 317-322.
      [46] Braunovic M, Myshkin NK, �Konchits VV (2006), Electrical Contacts: Fundamentals, Applications and Technology. CRC Press, Boca Raton pp. 369-454.
      [47] Xu Y, Jackson RL (2017), Statistical models of nearly complete elastic rough surface contact-comparison with numerical solutions. Tribol Int 105, 274-291.
      [48] Done V, Kesavan D, Krishna R, Chaise T, Nelias D (2017), Semi analytical fretting wear simulation including wear debris. Tribol Int 109, 1-9.
      [49] Bazrafshan M, Rooij MB, Valefi M, Schipper DJ (2017), Numerical method for the adhesive normal contact analysis based on a Dugdale approximation. Tribol Int 112, 117-128.
      [50] Otero JE, Ochoa EG, Tanarro EC, Lantada AD, Munoz-Guijosa JM (2016), Analitical model for predicting friction in line contacts. Lubr Sci 28, 189-205.
      [51] Prandtl L (2004), Essentials of Fluid Dynamics, Springer, New York, pp. 319-356.
      [52] Batchelor GK (1967), An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge, pp. 131-170.
      [53] White RB (2010), Asymptotic Analysis of Differential Equations. World Scientific Publishing Co.Ltd, Singapore, pp. 343-392.
      [54] Ford I (2013), Statistical Physics: An Entropic Approach. John Wiley & Sons, New York, pp. 201-223.
      [55] Groot SR, Mazur P (2013), Non-equilibrium Thermodynamics. Dover Publication Inc., New York, pp. 338-367.
      [56] Deeva VS, Slobodyan SM, Teterin VS (2016), Optimization of oil particles separation disperser parameters. Materials Science Forum 870, 677-682.
      [57] Banjac M, Vencl A, Otovic S (2014), Friction and wear processes-thermodynamic approach. Tribology in Industry 36, 341-347.
      [58] Blanchet TA (1997), The interaction of wear and dynamics of a simple mechanism. J Tribol 119, 597-599.
      [59] Davis JL (1987), Introduction to Dynamics of Continuous Media. Macmillan, New York, pp. 54-78.
      [60] Jacobs K (2014), Quantum measurement theory and its applications. Cambridge University Press, Cambridge, pp. 90-152.
      [61] Deeva VS, Slobodyan SM, Vashchuk SP, Voronina NV (2017), The structure of the pressure field in the contact area. Proceedings of Mechanical Engineering Research Day 2017, 55-56.
      [62] Bol'shanin AA, Slobodyan SM, Yakovlev AR, Vasil'eva LA (1987), Two-channel optical transducer for an industrial inspection system. Measurement Techniques 30(10), 954-956.
      [63] Arutyunov VA, Mel'nikov VG, Slobodyan SM, Chaporov DP, Popov ON (1983), Sources of measurement error of fast-flowing process parameters by charge-coupled devices. Measurement Techniques 26(8), 641-644.
      [64] Kim J (2016), Impedance characteristics and analysis of liftoff distance effect using polynomial approximation on eddycurrent nondestructive testing. Engineering Science and Technology, an International Journal 8(4), 1792-1795.
      [65] Xu Z, Zhang Q, Huang X, Wenzheng R, Yang ZK, Zhu Q (2016), An approximate model for the migration of solid lubricant on metal matrix self-lubricating composites. Tribol Int 93(A), 104-114.
      [66] Arbogast T, Juntunen M, Pool J, Wheeler MF (2013), A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocity and continuous capillary pressure. Engineering Science and Technology, an International Journal 5(2), 1474-1483.
      [67] Krishnaveni K, Kannan K, Balachandar S (1998), A new polynomial method for solving Fredholm-Volterra integral equations. Int.Comm. Heat Mass Transfer 25(6), 799-808.
      [68] Antonietti PF, Facciola C, Russo A, Verani M (2016), Discontinuous Galerkin approximation of flows in fractured porous media. MOX-Report No. 22/2016.
      [69] Khonsari MM, Amiri M (2013), Introduction to Thermodynamics of Mechanical Fatigue. CRC Press, Portland, p.150.
      [70] Loizou A, Qi HS, Day AJ (2013), A fundamental study on the heat partition ratio of vehicle disc brakes. J. Heat Transfer 135(12), 121302.
      [71] Cheng YL, Huan JK (2017), Thermophoresis of a spherical particle in a microtube. J Aerosol Sci 113, 71-84.
      [72] Yevtushenko A, Grzes P (2015), Maximum temperature in a three-disc thermally nonlinear braking system, Int.Comm. Heat Mass Transfer 68, 291-298.
      [73] Osalusi E, Side J, Harris R, Johnston B (2007), On the effectiveness of viscous dissipation and Joule heating on steady MHD flow and heat transfer of a Bingham fluid over a porous rotating disk in the presence of Hall and ion-slip currents. Int.Comm. Heat Mass Transfer 4(9-10), 1030-1040.
      [74] Bhushan B (2013), Introduction to Tribology, 2nd ed. John Wiley & Sons Ltd, New York, pp. 631-676.
      [75] Derler S, Suess J, Rao A, Rotaru G-M (2013), Influence of variations in the pressure distribution on the friction of the finger pad. Tribol Int 63, 14-20.
      [76] Ma W, Lubrecht AA (2017), Detailed contact pressure between wire rope and friction lining. Tribol Int 109, 238-245.




Article ID: 11908
DOI: 10.14419/ijet.v7i2.23.11908

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.