Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Analysis of Hot Judder of Disc Brakes for Automotives by Using Finite Element Method

유한 요소법을 이용한 자동차용 디스크 브레이크의 열간 저더 해석

  • Received : 2010.07.13
  • Accepted : 2011.02.09
  • Published : 2011.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

Thermal energy generated because of the friction between the disc and pad is transferred to both sides and causes thermal expansion of the material, which affects the contact pressure distribution. This phenomenon, which is called thermoelastic instability (TEI), is affected by the natural mode of a disc. TEI results in the formation of a hot spot and causes hot judder vibrations. In this study, three-dimensional analysis of the hot judder of a ventilated disc for automotives was performed by using the commercial finite element analysis program, SAMCEF. The intermediate processor based on a staggered approach was used to exchange the result data of the mechanical and thermal model. The hot spot was formed on the surface of the disc, and the number of hot spots was compared with the natural mode of the disc.

차량 제동시 디스크와 패드사이의 미끄럼 접촉에 의해 발생하는 마찰열은 재질의 열 탄성 변형을 일으키고, 이는 접촉면의 압력 분포에 영향을 끼친다. 이러한 열탄성 불안정성 (Thermo-Elastic Instability, TEI)은 디스크의 고유 진동모드와 결합되어 열섬 현상 및 열간 저더 진동을 발생시킨다. 본 연구에서는 상용 유한 요소 해석 프로그램인 SAMCEF 를 이용하여 자동차용 통풍식 디스크에 대한 3 차원 열간 저더 해석을 수행하였다. Staggered approach 에 의거한 중간 처리기를 이용하여 구조-동역학 해석 결과와 열 전달 해석 결과를 교환하였다. 디스크 표면에 열섬이 발생하는 것을 확인하였고, 이를 디스크 고유 진동 모드와 비교함으로써 모드 형상과 열섬 분포의 관계를 분석하였다.

Keywords

References

  1. Faramarz, T. and Salman, J., 2009, "Analysis of HeatConduction in a Disk Brake System,” Heat MassTransfer, Vol. 45, pp. 1047-1059. https://doi.org/10.1007/s00231-009-0476-y
  2. Li, J. and Barber, J.R., 2008, "Solution of TransientThermoelastic Contact Problems by the Fast SpeedExpansion Method,” Wear, Vol. 265, pp. 402-410. https://doi.org/10.1016/j.wear.2007.11.010
  3. Du, S. and Fash, J. W., 2000, "Finite Element Analysis ofFrictionally-Excited Thermoelastic Instability in 3DAnnular Disk,” International Journal of VehicleDesign, Vol. 23, Nos. 3/4, pp. 203-17. https://doi.org/10.1504/IJVD.2000.001892
  4. Jang, Y. H. and Ahn, S. H., 207, "Frictionally-ExcitedThermoelastic Instability in Functionally GradedMaterial,” Wear, Vol. 262, pp. 1102-1112. https://doi.org/10.1016/j.wear.2006.11.011
  5. Kim, J. T. and Baek, B. J., 2001, "A Numerical Studyof Thermal Performance in Ventilated Disk Brake,”Journal of Korean Society of Tribologists &Lubrication Engineers, Vol. 17, No. 5, pp.358-364.
  6. Choi, Y. C., Choi, J. W., Kim, H. M. and Seo, Y. W.,2004, "Thermal Dissipation Performance of theVentilated Brake Disc having Helical Grooved Vent,”Journal of the Korean Society of Precision Engineering, Vol.21, No. 3, pp. 117-123.
  7. Song, B. C., Kang, D. H., Kim, Y. H., Park, Y. C. and Lee,K. H., 2007, "Structural Design of a Circumferential FrictionDisc-brake Considering Thermoelastic Instability,” Journalof Korean Society of Manufacturing Process Engineers,Vol. 6, No. 3, pp. 38-46.
  8. Kim, S. M., 2009, "A Study on Thermal Analysis inVentilated Disk Brake by FEM,” Journal of theKorean Society of Machine Tool Engineers, Vol. 18,No. 5, pp. 544-549.
  9. Kao, T. K. and Richmond, J. W., 2000, "Brake DiscHot Spotting and Thermal Judder: An Experimentaland Finite Element Study,” International Journal ofVehicle Design, Vol. 23, Nos. 3/4.
  10. Altuzarra, O., Amezua, E., Aviles, R. and Hernandez,A., 2002, "Judder Vibration in Disc Brakes Excited byThermoelastic Instability,” Engineering computations,Vol. 19, No. 4, pp. 411-430. https://doi.org/10.1108/02644400210430181
  11. SAMCEF User’s manual, Ver.13.1, 2009.
  12. Chung, W. S., Jung, S. P. and Park, T. W., 2010,"Numerical Analysis Method to Estimate ThermalDeformation of a Ventilated Disc for Automotives,”Journal of Mechanical Science and Technology, Vol.24, No. 11, pp. 2189-2195. https://doi.org/10.1007/s12206-010-0905-3
  13. Yoon, G. H. and Sigmund, O., 2008, "A MonolithicApproach for Topology Optimization of ElectrostaticallyActuated Devices,” Computer Methods in AppliedMechanics and Engineering, Vol. 197, pp. 4062-4075. https://doi.org/10.1016/j.cma.2008.04.004
  14. Jung, S. P., 2010, "Numerical Analysis Method ofHot Judder Phenomenon of a Disc Brake System forAutomotives,” Ph.D Dissertation, Ajou Univ..
  15. Geradin, M. and Cardona, A., 2000, FlexibleMultibody Dynamics, John Willey & Sons, Chichester, England.
  16. Burton, R. A., Nerlikar, V. and Kilaparti, S. R., 1973,"Thermoelastic Instability in a Seal-Like Configuration,”Wear, Vol. 24, pp. 177-188. https://doi.org/10.1016/0043-1648(73)90230-5
  17. Yi, Y. B., Barber, J. R. and Zagrodzki, P., 2000,"Eigenvalue Solution of Thermoelastic InstabilityProblems Using Fourier Reduction,” Proceedings ofThe Royal Society of London A, Vol. 456, pp. 2799-2821. https://doi.org/10.1098/rspa.2000.0641