Skip to main content
SpringerLink
Log in

A numerical bifurcation study of friction effects in a slip-controlled torque converter clutch

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

Friction plays a key role in the efficiency and stability of the slip-controlled torque converter clutches. The effects of friction on the dynamics and stability of a slip-controlled torque converter clutch system using a bifurcation-analysis-based approach is presented in this paper. A three degree-of-freedom nonlinear driveline model with integral feedback action to control the clutch slip speed has been utilized for this study. The clutch interface friction is dependent on the slip speed and is a function of the static friction constant, μ 0, the low velocity friction constant μ 1, and the low velocity exponential rate, γ. Using one-parameter numerical continuation, local Hopf bifurcations of the subcritical type are observed as the friction parameters μ 1 and γ were varied at low slip speeds. The continuation results are verified using simulations of the full nonlinear model. Stick-slip and undesirable oscillations of the model inertia elements are observed for certain parameter values. As the slip speed is increased, the bifurcation instability occurs at an increasingly higher value of μ 1 signifying an improved tolerance of negative friction gradient at higher slip speeds. Smaller exponential rates γ are tolerated at higher slip speeds before the bifurcation instability occurs. For the range of parameter values considered, no bifurcations occur for a slip speeds higher than 3.4 and 4.5 rad/s with μ 1 and γ as the continuation parameters, respectively. These values of slip speeds are much lower than the system’s first mode of torsional vibration of 16 Hz (≈100 rad/s).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Allgower, E.L., Georg, K.: Numerical Continuation Methods: An Introduction. Springer-Verlag, New York (1990)

    MATH  Google Scholar 

  2. Berger, E., Sadeghi, F., Krousgrill, C.: Torque transmission characteristics of automatic transmission wet clutches: Experimental results and numerical comparison. STLE Tribol. Trans. 40(4), 539–548 (1997)

    Article  Google Scholar 

  3. Cameron, T.M., Tersigni, S., McCombs, T., Jao, T.-C.: Effects of ATF friction properties on shudder in slipping torque converter clutches. In: 14th International Colloquium Tribology, Germany (2004)

  4. Cameron, T.M., Tersigni, S., McCombs, T., Jao, T.-C.: ATF effects on friction stability in slip-controlled torque converter clutches. In: Powertrain and fluid systems Conference and Exhibition, Pittsburgh, PA, Oct. 27-30,SAETechnical Paper 2003-01-3255 (2003).

  5. Crowther, A., Zhang, N., Liu, D.K., Jeyakumaran, J.M.: Analysis and simulation of clutch engagement judder and stick-slip in automotive powertrain systems. Proc. Inst. Mech. Eng.: Part D, J. Automob. Eng. 218, 1427–1446 (2004)

    Article  Google Scholar 

  6. Dhooge, A., Govaerts, W., Kuznetsov, Y., Mestrom, W., Riet, A.: CLMATCONT: A continuation toolbox in Matlab. Manual, available at http://allserv.rug.ac.be/~ajdhooge/research.html\#cl\_matcont (2004)

  7. Dobson, I.: Computing a closest bifurcation instability in multidimensional parameter space. J. Nonlinear Sci. 3, 307–327 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  8. Dobson, I.: Distance to bifurcation in multidimensional parameter space: margin sensitivity and closest bifurcations. In: Bifurcation Control, Theory and Application, Chap. 3, Chen, G., Hill, D.J., Yu, X. (eds.) Lecture Notes in Control and Information Sciences, vol. 293. Springer Verlag, New York (2003)

    Google Scholar 

  9. Duan, C., Singh, R.: Stick-slip behavior of torque converter clutch. In: 2005 SAE Noise and Vibration Conference, Traverse City, MI, May 16–18, SAE Paper 2005-01-2456(2005)

  10. Elmer, F.: Nonlinear dynamics of dry friction. J. Phys. A: Math. Gen. 30, 6057–6063 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  11. Hahn, J.-O., Lee, K.-I.: Nonlinear robust control of torque converter clutch slip control system for passenger vehicles using advanced torque estimation algorithms. Veh. Syst. Dyn. 37(3), 175–192 (2002)

    Article  Google Scholar 

  12. Johanson, C., Duffy, J.: Automatic Transmissions & Transaxles. Goodheart-Willcox, Tinley Park, IL (2002)

  13. Kono, K., Itoh, H., Nakamura, S., Yoshiwaza, K., Osawa, M.: Torque converter clutch slip control system. SAE Paper 950672

  14. Kremer, G.G., Thompson, D.F.: A bifurcation-based procedure for designing and analyzing robustly stable nonlinear hydraulic servo systems. Proc. Inst. Mech. Eng.: Part I, J. Syst. Control Eng. 212, 383–394 (1998)

    Google Scholar 

  15. Kugimiya, T., Yoshimura, N., Kuribayashi, T., Mitsui, J.: Tribology of automatic transmission fluid. Tribol. Lett. 5, 49–56 (1998)

    Article  Google Scholar 

  16. Kuznetsov, Y.: Elements of Applied Bifurcation Theory, 3rd edn. Springer-Verlag, New York (2004)

    MATH  Google Scholar 

  17. Lim, Y.F., Chen, K.: Dynamics of dry friction: A numerical investigation. Phys. Rev. E 58(5), 5637–5642 (1998)

    Article  Google Scholar 

  18. Putra, D., Nijmeijer, H.: Limit cycling in an observer-based controlled system with friction: Numerical analysis and experimental validation. Int. J. Bif. Chaos 14(9), 3083–3093 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  19. Thompson, D.F., Kremer, G.G.: Parametric model development and quantitative feedback design for automotive torque converter bypass clutch control. Proc. Inst. Mech. Eng.: Part I 213, 249–266 (1999)

    Google Scholar 

  20. Yamada, N., Ando, K.: An analysis of clutch self-excited vibration in automotive drive line. SAE Transactions 104(2), 2360–2367 SAE Paper 951319 (1995)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, P.O. Box 210072, Cincinnati, OH, 45221-0072, USA

    Firoz Ali Jafri & David F. Thompson

  2. Department of Mechanical and Manufacturing Engineering, Miami University, Oxford, OH, 45056-3657, USA

    Amit Shukla

Authors
  1. Firoz Ali Jafri
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Amit Shukla
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. David F. Thompson
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Amit Shukla.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jafri, F.A., Shukla, A. & Thompson, D.F. A numerical bifurcation study of friction effects in a slip-controlled torque converter clutch. Nonlinear Dyn 50, 627–638 (2007). https://doi.org/10.1007/s11071-006-9170-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-006-9170-5

Keywords

Search

Navigation