Investigation on Friction Noise in Beam Structure Under Mode-Coupling by Using Analytical Finite-Element Squeal Model

스퀼 융합모델을 이용한 모드연성에 의한 빔 구조 마찰 소음 연구

  • Kang, Jaeyoung (Div. of Mechanical and Automotive Engineering, Kongju Nat'l Univ.)
  • 강재영 (공주대학교 기계자동차공학부)
  • Received : 2014.01.28
  • Accepted : 2014.02.27
  • Published : 2014.05.01


This study provided the analytical finite element method estimating the friction-induced noise on the complex beam structure. The frictional contact model was theoretically constructed and applied to the analytical finite element squeal model. The numerical results showed that the beam structure was excited by the mode-coupling instability of the specific system modes. Also, the direction of friction was shown to influence on the dynamic instability of the modes. Besides, the unstable modal frequencies estimated from the numerical calculation were validated by the experiment of the actual beam structure.

본 연구는 복잡한 빔 구조체의 마찰에 의한 소음을 유한요소기법을 이용하여 예측하였다. 마찰접촉 모델을 수학적으로 유도하여 유한요소기법에 접목하였다. 그 결과 빔 구조체의 특정 모드에서 모드 연성에 의해서 동적 불안정성이 유발되고 있음을 보여주었다. 또한 마찰의 방향이 모드 불안정성에 매우 큰 영향을 미치고 있음을 보여주었다. 또한 실제 빔 구조체 시스템을 제작하여 해석에서 예측한 특정 주파수에서 소음 피크주파수가 발생하고 있음을 실험적으로 검증하였다.



Supported by : 공주대학교


  1. Ibrahim, R. A., 1994, "Friction-Induced Vibration, Chatter, Squeal, and Chaos Part II: Dynamics and Modeling," Applied Mechanics Reviews, ASME, Vol. 47, pp. 227-253.
  2. Akay, A., 2002, "Acoustics of Friction," Journal of Acoustical Society of America, Vol. 111, pp. 1525-1548.
  3. Brockley, C. A. and Ko, P. L., 1970, "Quasi-Harmonic Friction-Induced Vibration," Journal of Lubrication Technology, ASME, Vol. 89, pp. 550-556.
  4. Popp, K. and Stelter, P., 1990, "Stick-Slip Vibrations and Chaos," Proceedings of the Royal Society A, Vol. 332, pp. 89-105.
  5. Leine, R. I., Campen, D. H. V., Kraker, A. D. and Steen, L. V., 1998, "Stick-Slip Vibrations Induced by Alternate Friction Models," Nonlinear Dynamics, Vol. 16, pp. 41-54.
  6. Nack, W. and Joshi, A. M., 1995, "Friction Induced Vibration: Brake Moan," 951095, SAE, Warrendale, PA.
  7. Nack, W., 2000, "Brake Squeal Analysis by Finite Elements," International Journal of Vehicle Design, Vol. 23, pp. 263-275.
  8. Bajer, A., Belskyl, V. and Zeng, L., 2003, "Combining a Nonlinear Static Analysis and Complex Eigenvalue Extraction in Brake Squeal Simulation," 2003-01-3349, SAE, Warrendale, PA.
  9. Bajer, A., Belskyl, V. and Kung, S., 2004, "The Influence of Friction-Induced Damping and Nonlinear Effects on Brake Squeal Analysis," 2004-01-2794, SAE, Warrendale, PA.
  10. Kang, J., 2011, "Theoretical Model of Ball Joint Squeak," Journal of Sound and Vibration, Vol. 330, pp. 5490-5499.
  11. Kang, J. and Kim, K., 2010, "Squeak Noise in Lead Screw Systems: Self-Excited Vibration of Continuous Model, "Journal of Sound and Vibration, Vol. 329, pp. 3587-3595.
  12. Kang, J., Krousgrill, C. M. and Sadeghi, F., 2009, "Comprehensive Stability Analysis of Disc Brake: Gyroscopic, Negative Slope and Mode-Coupling Instability," Journal of Sound and Vibration, Vol. 324, pp. 387-407.
  13. Kang, J., 2009, "Squeal Analysis of Gyroscopic Disc Brake System Based on Finite Element Method," International Journal of Mechanical Science, Vol. 51, pp. 284-294.
  14. Kang, J. and Krousgrill, C. M., 2010, "The Onset of Friction-Induced Vibration and Spragging," Journal of Sound and Vibration, Vol. 329, pp. 3537-3549.

Cited by

  1. Investigation of Friction Noise in Ball Joint Under Edge Loading Condition vol.38, pp.7, 2014,
  2. An Experimental Investigation of the Effect of Corrosion on Dry Friction Noise vol.39, pp.12, 2015,
  3. An Experimental Investigation of Dry Friction Noise for Several Metallic Materials vol.39, pp.7, 2015,
  4. Finite Element Analysis for Friction Noise with Respect to the Friction Curve of Several Materials vol.40, pp.5, 2016,
  5. Experimental investigation of friction noise on lubricated contact vol.31, pp.12, 2017,