Coupled systems mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Coupled temperature-displacement modeling to study the thermo-elastic instability in disc brakes

  • Ramkumar, E. (Department of Mechanical Engineering, IIT Madras) ;
  • Mayuram, M.M. (Department of Mechanical Engineering, IIT Madras)
  • Received : 2012.04.14
  • Accepted : 2012.06.13
  • Published : 2012.06.25
⟨ Previous Next ⟩

Abstract

Macroscopic hot spots formed due to the large thermal gradients at the surface of the disc brake rotor, make the rotor to fail or wear out early. Thermo-elastic deformation results in contact concentration, leading to the non uniform distribution of temperature making the disc susceptible to hot spot formation. The formation of one hot spot event will predispose the system to future hot spotting at the same location. This leads to the complete thermo-elastic instability in the disc brakes; multitude parameters are responsible for the thermo elastic instability. The predominant factor is the sliding velocity and above a certain sliding velocity the instability of the brake system occurs and hot spots is formed in the surface of the disc brake. Commercial finite element package ABAQUS(R) is used to find the temperature distribution and the result is validated using Rowson's analytical model. A coupled analysis methodology is evolved for the automotive disc brake from the transient thermo-elastic contact analysis. Temperature variation is studied under different sliding speeds within the operation range.

Keywords

References

  1. ABAQUS (2004), ABAQUS Version 6.8 Manual, Hibbit, Karlsson & Sorensen, Inc.
  2. Choi, J.H. and Lee, I. (2003), "Transient thermo-elastic analysis of disk brakes in frictional contact", J. Therm. Stresses, 26(3), 223-244. https://doi.org/10.1080/713855891
  3. Day and Newcomb (1984), "The dissipation of frictional energy from the interface of an annular disc brake", Proceedings of the Institution of Mechanical Engineers. Part D. Transport engineering, 198, 201-209. https://doi.org/10.1243/PIME_PROC_1984_198_146_02
  4. Didier, M., Philippe, D. and Moussa, N.A. (2005), "Third body influence on thermal friction contact problems: application to braking", J. tribolo.,127, 89-95. https://doi.org/10.1115/1.1757490
  5. Dow, T.A. and Burton, R.A. (1972), "Initiation of Thermo-elastic instabilities of sliding contact in the absence of wear, Wear", 19, 315-328. https://doi.org/10.1016/0043-1648(72)90123-8
  6. Gao, C.H., Huang, J.M., Lin, X.Z. and Tang, X.S. (2007), "Stress analysis of thermal fatigue fracture of brake disks based on Thermo mechanical coupling", J. tribolo.,129, 536-543. https://doi.org/10.1115/1.2736437
  7. Joachim-Ajao, D. and Barber, J.R. (1998), "Effect of material properties in certain thermoelastic contact problems", J. Appl. Mech.- T. ASME , 65, 889-893. https://doi.org/10.1115/1.2791928
  8. Lee,K.G. and Barber, J.R. (1993), "Frictionally excited thermoelastic instability in automotive disk brakes", 115, 614.
  9. Jung, S.P., Song, H.S., Park,T.W. and Chung, W.S. (2012), "Numerical analysis of thermo elastic Instability in disc brake system", Appl. Mech. Marter., 110-116, 2780-2785.
  10. Ali Belhocine and Mostefa Bouchetara (2012), Thermal analysis of solid disc brake, Applied thermal engineering, 32, 59-67. https://doi.org/10.1016/j.applthermaleng.2011.08.029
  11. Tang, W.X., Cai, Y.D., Cheng, C. and Huang, Q.Y. (2011), "Thermal stress analysis of water-cooling brake disc based on 3D thermo-mechanical coupling model", Adv. Mater. Res., 314-316, 1581-1586. https://doi.org/10.4028/www.scientific.net/AMR.314-316.1581
  12. Lee, K.G. and Barber, J.R. (1994), "An experimental investigation of frictionally-excited thermoelastic instability in automotive disk brakes under a drag brake application", J. Tribol., 116, 409-414. https://doi.org/10.1115/1.2928855
  13. Lam, K.B., Al Bahkali, E., Barber, J.R. (2001), "Nonlinear transient behaviour of a sliding system with frictionally excited thermo-elastic instability", J. Tribol., 123, 699-708. https://doi.org/10.1115/1.1353180
  14. Newcomb, T.P. (1960), "Temperatures reached in disc brakes", J. Mech. Eng. Sci., 2, 167-177. https://doi.org/10.1243/JMES_JOUR_1960_002_026_02
  15. Norton, R.L. (2006), Machine design, Prentice Hall Publishers, New Jersey.
  16. Ouyang, H., Abu-Bakar, A.R. and Li, L. (2009), "A combined analysis of heat conduction, contact pressure and transient vibration of a disk brake", Int. J. Vehicle Des., 51(1-2), 190-206. https://doi.org/10.1504/IJVD.2009.027121
  17. Rowson, D.M. (1978), "The interfacial surface temperature of a disc brake", Wear, 47(2), 323-328. https://doi.org/10.1016/0043-1648(78)90162-X
  18. Song,W.B., Sutton, M.S. and Talghader, J.J. (2002), "Thermal contact conductance of actuated Interfaces", Appl. Phys.Lett., 81(7), 1216-1218. https://doi.org/10.1063/1.1499518
  19. Yi, Y.B., Barber, J.R. and Hartsock, D.L. (2001), "Thermoelastic instabilities in disc brakes", Proceedings of the 3rd Contact Mechanics International symposium.
  20. Yi, Y.B., Barber, J.R. and Zagrodzki, P. (2000), "Eigen value solution of Thermo- elastic instability problems using fourier reduction", Proc. R. Soc. Lond. A., 456, 2799-2821. https://doi.org/10.1098/rspa.2000.0641