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Hot judder simulation of a ventilated disc and design of an improved disc using sensitivity analysis

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Abstract

In a disc brake system, thermal expansion of the material is caused by friction energy that is generated by the sliding contact between a disc and pad during braking. This phenomenon, thermo-elastic instability, can lead to hot spots on the disc surface and a hot judder phenomenon. Transient finite element analysis has been used to simulate this phenomenon. Three dimensional finite element models of a disc, pad, and cylinder were created. Each part was connected by a joint. Contact condition was applied to the disc and pad with a friction coefficient (μ) of 0.4. A convective heat transfer coefficient was set as 40 W/m2K. Using a commercial program SAMCEF, the simulation of the thermo-mechanically coupled system was performed. In order to find the sensitive parameters of brake judder, sensitivity analysis was carried out with consideration for disc design parameters. As a result, the hot spot phenomenon was confirmed and hot judder was predicted. Moreover, the more sensitive parameters of the hot judder phenomenon were presented. Finally, an improved disc model and an analysis technique were verified by comparison to dynamo test results.

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References

  • Altuzarra, O., Amezua, E., Avilés, R. and Hernández, A. (2002). Judder vibration in disc braked excited by thermoelastic instability. Engineering Computations: Int. J. Computer-Aided Engineering 19,4, 411–430.

    Article  MATH  Google Scholar 

  • Cho, H. J., Kim, M. G. and Cho, C. D. (2007). A study of frictional contact vibration influence on hot spot in automotive disk brake. Trans. Korean Society of Automotive Engineers 15,1, 154–161.

    Google Scholar 

  • Faramarz, T. and Salman, J. (2009). Analysis of heat conduction in a disc brake system. Heat and Mass Transfer 45,8, 1047–1059.

    Article  Google Scholar 

  • Geradin, M. and Cardona, A. (2000). Flexible Multibody Dynamics: A Finite Element Approach. John Willey & Sons. New York.

    Google Scholar 

  • Jung, S. P. and Park, T. W. (2008). Development of the optimization design module of a brake system. Trans. Korean Society of Automotive Engineers 16,3, 166–171.

    Google Scholar 

  • Jung, S. P., Park, T. W., Chai, J. B. and Chung, W. S. (2011). Thermo-mechanical finite element analysis of hot judder phenomenon of a ventilated disc brake system. Int. J. Precision Engineering and Manufacturing 12,5, 821–828.

    Article  Google Scholar 

  • Kim, M. G. and Cho, C. (2006). Critical speed analysis of judder due to change in surface temperature of disc brake. Int. J. Automotive Technology 7,6, 697–702.

    MathSciNet  Google Scholar 

  • Kim, S. H., Han, E. J., Kang, W. S. and Cho, S. S. (2008). Investigation of influential factors of a brake corner system to reduce brake torque variation. Int. J. Automotive Technology 9,2, 233–247.

    Article  Google Scholar 

  • Kim, S. M. (2009). A study on thermal analysis in ventilated disk brake by FEM. J. Korean Society of Machine Tool Engineers 18,5, 544–549.

    Google Scholar 

  • Kim, Y. G., Kim, S. W., Park, C. K., Park, T. W. and Kim, Y. M. (2011). Measurement of the disc-pad friction coefficient for mechanical brakes using direct and indirect methods. Int. J. Automotive Technology 12,1, 51–58.

    Article  Google Scholar 

  • Lee, K. J. and Barber, J. R. (1994). An experimental investigation of frictionally-excited thermoelastic instability in automotive disk brakes under a drag brake application. J. Tribology, 116, 409–414.

    Article  Google Scholar 

  • Plackett, R. L. and Burman, J. P. (1946). The dessign of optimum multifactorial experiments. Biometrica 33,4, 305–325.

    Article  MATH  Google Scholar 

  • SAMTEC (2010). SAMCEF User’s Manual. Ver.13.1. SAMTEC. Liège. Belgium.

    Google Scholar 

  • Song, B. C., Kang, D. H., Kim, Y. H., Park, Y. C. and Lee, K. H. (2007). Structural design of a circumferential friction disc-brake, considering thermoelastic instability. J. Korean Society of Manufacturing Process Tool Engineer 6,3, 38–46.

    Google Scholar 

  • Yoon, G. H. and Sigmund, O. (2008). A monolithic approach for topology optimization of electrostatically actuated devices. Computer Methods in Applied Mechanics and Engineering, 197, 4062–4075.

    Article  MATH  MathSciNet  Google Scholar 

  • Zagrodzki, P., Lam, K. B., Albahkali, E. and Barber, J. R. (2001). Nonlinear transient behavior of a sliding system with frictionally excited thermoelastic instability. J. Tribology 123,4, 699–708.

    Article  Google Scholar 

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Correspondence to T. W. Park.

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Park, J.H., Park, T.W., Lee, J.H. et al. Hot judder simulation of a ventilated disc and design of an improved disc using sensitivity analysis. Int.J Automot. Technol. 15, 1–6 (2014). https://doi.org/10.1007/s12239-014-0001-2

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  • DOI: https://doi.org/10.1007/s12239-014-0001-2

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