Authors

R. Morselli, R. Zanasi, P. Ferracin

Abstract

Static and Coulomb frictions are extensively used in automotive mechanical systems to control the synchronization between two shafts or two axles. Clutches, gearboxes and limited-slip differentials are some examples. This paper proposes a method for the efficient simulation of a wide class of automotive mechanical systems with static and Coulomb friction phenomena. The modelling approach is based on the port-Hamiltonian representation of the dynamic systems and the computation of the friction forces requires only the zero crossing detection. A slight approximation allows faster and sufficiently accurate simulations even without an accurate zero crossing detection. The proposed approach has been used to simulate the behaviour of a complex gearbox provided by some high level farm tractors.

Citation

  • Journal: International Journal of Control
  • Year: 2006
  • Volume: 79
  • Issue: 5
  • Pages: 508–520
  • Publisher: Informa UK Limited
  • DOI: 10.1080/00207170600586970

BibTeX

@article{Morselli_2006,
  title={{Modelling and simulation of static and Coulomb friction in a class of automotive systems}},
  volume={79},
  ISSN={1366-5820},
  DOI={10.1080/00207170600586970},
  number={5},
  journal={International Journal of Control},
  publisher={Informa UK Limited},
  author={Morselli, R. and Zanasi, R. and Ferracin, P.},
  year={2006},
  pages={508--520}
}

Download the bib file

References

  • Armstrong-Hélouvry, B., Dupont, P. & De Wit, C. C. A survey of models, analysis tools and compensation methods for the control of machines with friction. Automatica vol. 30 1083–1138 (1994) – 10.1016/0005-1098(94)90209-7
  • Barahanov, N. & Ortega, R. Necessary and sufficient conditions for passivity of the LuGre friction model. IEEE Transactions on Automatic Control vol. 45 830–832 (2000) – 10.1109/9.847131
  • Breedveld PC. Proceedings 1st IFAC Conference on Mechatronic Systems
  • Breedveld, P. C. Port-based modeling of mechatronic systems. Mathematics and Computers in Simulation vol. 66 99–128 (2004) – 10.1016/j.matcom.2003.11.002
  • Canudas-de-Wit, C. Comments on ‘A new model for control of systems with friction’. IEEE Transactions on Automatic Control vol. 43 1189–1190 (1998) – 10.1109/9.704999
  • Garofalo F. IEEE Conference on Decisions and Control (2001)
  • Electronic Transmission Controls. (2000) doi:10.4271/9780768006315 – 10.4271/9780768006315
  • Karnopp, D. Computer Simulation of Stick-Slip Friction in Mechanical Dynamic Systems. Journal of Dynamic Systems, Measurement, and Control vol. 107 100–103 (1985) – 10.1115/1.3140698
  • Karnopp DC. System dynamics – Modeling and Simulation of Mechatronic Systems, (2000)
  • Morselli R. IEEE International Conference On Intelligent Transportation Systems (2003)
  • Morselli, R., Zanasi, R. & Sandoni, G. Detailed and reduced dynamic models of passive and active limited-slip car differentials. Mathematical and Computer Modelling of Dynamical Systems vol. 12 347–362 (2006) – 10.1080/13873950500066959
  • van der Schaft AJ. Springer Communications and Control Engineering series, (2000)
  • Van Der Schaft, A. J. & Maschke, B. M. On the Hamiltonian formulation of nonholonomic mechanical systems. Reports on Mathematical Physics vol. 34 225–233 (1994) – 10.1016/0034-4877(94)90038-8
  • van der Schaft AJ. Springer Lect. Notes in Control and Information Sciences (2000)
  • Wright P. Formula 1 Technology (2000)
  • Zanasi R. IMACS Symp. on Modelling and Control of Technological System (1991)
  • Zanasi R. European Control Conference (ECC) (2001)
  • Zanasi R. Mechatronics Forum International Conference (2002)
  • Zanasi R. Proceedings of the Symposium on Mathematical Modelling - MATHMOD’03 (2003)