Transactions of the Korean Society of Automotive Engineers (한국자동차공학회논문집)

The Korean Society of Automotive Engineers (한국자동차공학회)
권호 표지

Mode Shape Variation of Disc Brake with Respect to Contact Stiffness Variation

마찰재 접촉강성에 따른 디스크 브레이크 진동모드 형상화

  • Kang, Jae-Young (Division of Mechanical and Automotive Engineering, Kongju National University)
  • 강재영 (공주대학교 기계자동차공학부)
  • Received : 2009.08.27
  • Accepted : 2009.11.19
  • Published : 2010.05.01
Download PDF
⟨ Previous Next ⟩

Abstract

Eigensolutions associated with self-excited vibration of disc brake system can be obtained by complex eigenvalue analysis. The eigenvalue sensitivity to change in contact stiffness can be used to demonstrate stability criteria and eigenvalue veering. Dynamic instability on eigenvalue loci with respect to the variation of contact stiffness is found to be related to mode interaction between two adjacent modes. This modal interaction can be effectively shown by mode shape visualization. This paper presents the methodology to construct the mode shape of disc brake system where a disc and two brake pads are coupled with contact stiffness.

Keywords

References

  1. N. M. Kinkaid, O. M. O'Reilly and P. Papadopoulos, "Automotive Disc Brake Squeal," Journal of Sound and Vibration, Vol.267, pp.105-166, 2003. https://doi.org/10.1016/S0022-460X(02)01573-0
  2. H. Ouyang, W. Nack, Y. Yuan and F. Chen, "Numerical Analysis of Automotive Disc Brake Squeal: A Review," International Journal of Vehicle Noise and Vibration, Vol.1, pp.207- 231, 2005. https://doi.org/10.1504/IJVNV.2005.007524
  3. J. H. Lim, S. J. Cho, Y. S. Choi, S. J. Choi and G. J. Choi, "Brake Squeal Noise due to Disk Run-out," Transactions of KSAE, Vol.13, No.3, pp.41-47, 2005.
  4. W. Nack, "Brake Squeal Analysis by Finite Elements," International Journal of Vehicle Design, Vol.23, pp.263-275, 2000. https://doi.org/10.1504/IJVD.2000.001895
  5. J. Flint and J. Hulten, "Lining-deformationinduced Modal Coupling as Squeal Generator in a Distributed Parameter Disc Brake Model," Journal of Sound and Vibration, Vol.254, pp.1- 21, 2002. https://doi.org/10.1006/jsvi.2001.4052
  6. J. Huang, C. M. Krousgrill and A. Bajaj, "Modeling of Automotive Drum Brake for Squeal and Parameter Sensitivity Analysis," Journal of Sound and Vibration, Vol.289, pp.245-263, 2006. https://doi.org/10.1016/j.jsv.2005.02.007
  7. J. Huang, C. M. Krousgrill and A. Bajaj, "An Effective Approach to Estimate Critical Value of Friction Coefficient in Brake Squeal Analysis," Journal of Applied Mechanics, Vol.74, pp.534-541, 2007. https://doi.org/10.1115/1.2423037
  8. J. Kang, C. M. Krousgrill and F. Sadeghi, "Dynamic Instability of a Thin Circular Plate with Friction Interface and Its Application to Disc Brake Squeal," Journal of Sound and Vibration, Vol.316, pp.164-179, 2008. https://doi.org/10.1016/j.jsv.2008.02.041
  9. J. Kang, C. M. Krousgrill and F. Sadeghi, "Analytical Formulation of Mode-coupling Instability in Disc-pad Coupled System," International Journal of Mechanical Science. Vol. 51, pp.52-63, 2009. https://doi.org/10.1016/j.ijmecsci.2008.11.002
  10. J. Kang, C. M. Krousgrill and F. Sadeghi, "Comprehensive Stability Analysis of Disc Brake Vibrations Including Gyroscopic, Negative Friction Slope and Mode-coupling Mechanisms," Journal of Sound and Vibration, Vol.324, pp.387-407, 2009. https://doi.org/10.1016/j.jsv.2009.01.050
  11. J. Kang, C. M. Krousgrill and F. Sadeghi, "Wave Pattern Motion and Stick-slip Limit Cycle Oscillation of a Disc Brake," Journal of Sound and Vibration, Vol.325, pp.552-564, 2009. https://doi.org/10.1016/j.jsv.2009.03.030
  12. J. Kang, "Squeal Analysis of Gyroscopic Disc Brake System Based on Finite Element Method," International Journal of Mechanical Science, Vol.51, pp.284-294, 2009. https://doi.org/10.1016/j.ijmecsci.2009.02.003