Transient analysis of thermoelastic contact problem of disk brakes

Abstract

The main purpose of this study is to analyze the thermomechanical behavior of the dry contact between the brake disk and pads during the braking phase. The simulation strategy is based on computer code ANSYS11. The modeling of transient temperature in the disk is actually used to identify the factor of geometric design of the disk to install the ventilation system in vehicles. The thermal-structural analysis is then used with coupling to determine the deformation established and the Von Mises stresses in the disk, the contact pressure distribution in pads. The results are satisfactory compared to those found in the literature.

Keywords

brake disks / heat flux / heat-transfer coefficient / Von Mises stress / contact pressure

References

[1] Milenković P D, Jovanović S J, Janković A S, Milovanović M D, Vitošević N D, Đorđević M V, Raičević M M. The influence of brake pads thermal conductivity on passenger car brake system efficiency. Thermal Science, 2010, 14: S221–S230

[2] Belghazi H. Analytical solution of unsteady heat conduction in a two-layered material in imperfect contact subjected to a moving heat source. <DissertationTip/>Ph.D. Thesis, University of Limoges, 2010

[3] Nakatsuji T, Okubo K, Fujii T, Sasada M, Noguchi Y. Study on crack initiation at small holes of one-piece brake discs. SAE technical paper 2002–01–0926. Society of Automotive Engineers, 2002

[4] Valvano T, Lee K. An analytical method to predict thermal distortion of a brake rotor. SAE technical paper 2000–01–0445. Society of Automotive Engineers, 2000

[5] Hudson M D, Ruhl R L. Ventilated brake rotor air flow investigation. SAE technical paper 1997–01–033. Society of Automotive Engineers,1997

[6] Denape J, Laraqi N. Aspect thermique du frottement: mise en évidence experimentale et éléments de modélisation. Mécanique et Industries, 2000, 1: 563–579

[7] Hamraoui M. Thermal behaviour of rollers during the rolling process. Applied Thermal Engineering, 2009, 29(11–12): 2386–2390

[8] Hamraoui M, Zouaoui Z. Modelling of heat transfer between two rollers in dry friction. International Journal of Thermal Sciences, 2009, 48(6): 1243–1246

[9] Laraqi N. Velocity and relative contact size effect on the thermal constriction resistance in sliding solids. American Society of Mechanical Engineers (ASME) Journal of Heat Transfer, 1997, 119(1): 173–177

[10] Yapıcı H, Genç M S. Özısık G. Transient temperature and thermal stress distributions in a hollow disk subjected to a moving uniform heat source. Journal of Thermal Stresses, 2008, 31: 476–493

[11] Laraqi N, Alilat N, de Maria J M G, Baïri A. Temperature and division of heat in a pin-on-disc frictional device—exact analytical solution. Wear, 2009, 266(7–8): 765–770

[12] Bauzin J G, Laraqi N. Simultaneous estimation of frictional heat flux and two thermal contact parameters for sliding solids. Numerical Heat Transfer Part A, 2004, 45(4): 313–328

[13] Baïri A, de Maria J M G, Laraqi N. Effect of thickness and thermal properties of film on the thermal behavior of moving rough interfaces. European Physical Journal Applied Physics, 2004, 26(1): 29–34

[14] Mijuca D M, Žiberna A M, Medjo B I. A new multifield finite element method in steady state heat analysis. Thermal Science, 2005, 9(1): 111–130

[15] Zhang L, Yang Q, Weichert D, Tan N. Simulation and analysis of thermal fatigue based on imperfection model of brake discs. Proceeding in Applied Mathematics and Mechanics (PAMM), 2009, 9: 533–534

[16] Fiche U I C. 541–3: FREIN – Frein à disques et garnitures de frein à disques, 4th ed, 1993

[17] Saumweber E. Temperaturberechnung in Bremsscheiben fürein beliebiges. Fahrprogramm, Leichtbau der Verkehrsfahrzeuge, Heft 3, Augsburg, 1969

[18] Cruceanu C. Frâne pentru feroviare (Brakes for railway vehicles). MATRIXROM, Bucureşti, 2007. 388 pages

[19] Reimpel J. Technologie de freinage. VogelVerlag, Würzburg, 1998

[20] Gotowicki P F, Nigrelli V, Mariotti G V. Numerical and experimental analysis of a pegs-wing ventilated disk brake rotor, with pads and cylinders. Paper EAEC05YUAS04–P5, 10th EAEC European Automotive Congress, June, 2005

[21] Yu H, Li S, Liu Y, Chen C. Study on temperature distribution due to freezing and thawing at the Fengman concrete gravity dam.Thermal Science, 2011, 15(suppl 1): s27–s32

[22] Sergerlind L J. Applied Finite Element Analysis. New York: John Wiley and Sons, 1984

[23] Hinton E, Owen D R J. An Introduction to Finite Element Computations. UK: Pineridge Press Limited, 1981

[24] Versteeg H K, Malalasekera W. An introduction to computational fluid mechanics. The finite volume method. Harlow: Longman Scientific & Technical Publishers, 2007

[25] ANSYS v.11 User’s Manual Guide. Houston, USA: ANSYS, Inc., 1996

[26] Nouby M, Srinivasan K. Parametric studies of disc brake squeal using Finite element approach. Journal Mekanikal, 2009, 29: 52– 66

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg