Skip to main content
Log in

New tyre-road contact model for applications at low speed

  • Published:
International Journal of Automotive Technology Aims and scope Submit manuscript

Abstract

Most of the tyre models have been developed for high speed, combined forces, etc., however, in certain tests it is necessary to know tyre behaviour at very low speed in order to evaluate different systems. So, during vehicle inspection and maintenance of the steering and brake system, by means of sideslip tester and roller brake tester respectively, the forces transmitted by the tyres are measured; all of these inspections are carried out at low speeds. Furthermore, usually, automobile vehicles run at low speeds during an important part of their operating life (less than 60 km/h), mainly during urban traffic, and in steady state conditions. Therefore, it is particularly interesting to develop an accurate model of the contact patch tyrepavement for low speeds without the complexity of models that cover a wide speed range but provide less precision at very low speeds. The dynamometer plate has proved to be an appropriate test equipment to characterise the tyre-pavement contact at low speed and the steering geometry and wheel alignment. It has the feature of being able to carry out tests with the tyre installed in the vehicle as in completely real conditions. The main aim of this research is to set up a contact model between tyre and pavement at very low speed based on the measurement of longitudinal and lateral forces. A test methodology that allows carrying out the experimental tests in a systematic and controlled way with the dynamometer plate has also been developed. From this model it will be possible to estimate the forces that tyres are capable of transmitting in different situations to act in the parameters which affect these forces and maximize them.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • AMTI (2003). BP6001200 Force Platform Manual. Advanced Mechanical Technology.

  • Bayle, P., Forissier, J. and Lafon, F. (1993). A new tyre model for vehicle dynamics simulations. Automotive Technology Int., 6, 909–925.

    Google Scholar 

  • Besselink, I. J. M., Schmeitz, A. J. C. and Pacejka, H. B. (2010). An improved magic formula/swift tyre model that can handle inflation pressure change. Vehicle System Dynamics 48, 1, 337–352.

    Article  Google Scholar 

  • Bird, K. and Martin, J. (1973). The Calspan tire research facility: Design, development and initial test results. SAE Paper No. 730582.

    Book  Google Scholar 

  • Bradley, J. and Allen, R. (1931). The behaviour of rubbertyred wheels. The Automotive Engineer, 21.

    Google Scholar 

  • C. I. T. A. (1996). Recommendation No 1: Inspection of Motor Vehicles. Items to be Inspected in Testing Stations. Comite International de ľInspection Technique Automobile.

    Google Scholar 

  • Canudas de Wit, C., Tsiotras, P., Velenis, E., Basset, M. and Gissinger, G. (2003). Dynamic friction models for road/tire longitudinal interaction. Vehicle System Dynamics, 39, 189–226.

    Article  Google Scholar 

  • Christensen, P. and Elvik, R. (2007). Effects on accidents of periodic motor vehicle inspection in Norway. Accident; Analysis and Prevention 39, 1, 47–52.

    Article  Google Scholar 

  • Da Silva, M. M., Cunha, R. H. and Neto, A. C. (2012). A simplified model for evaluating tire wear during conceptual design. Int. J. Automotive Technology 13, 6, 915–922.

    Article  Google Scholar 

  • DGT (2007). Anuario Estadístico General 2006, Servicio de Calidad y Asuntos Generales de la Dirección General de Tráfico, Sección de Publicaciónes DGT.

    Google Scholar 

  • Dugoff, H., Fancher, P. S. and Segel, L. (1970). An Analysis of tyre traction properties and their influence on vehicle dynamic performance. SAE Paper No. 700377.

    Book  Google Scholar 

  • Díaz, V., Ramirez, M. and Muñoz, B. (2004). A wheel model for the study of the wheel angle measurement in the periodic motor vehicle inspection. Int. J. Vehicle Design, 34, 297–308.

    Article  MATH  Google Scholar 

  • EAL-R2-SL (2001). Expression of the Uncertainty of Measurement in Calibration. European Cooperation for Accreditation of Laboratories. EAL-4/02.

    Google Scholar 

  • Ellis, J. (1969). Vehicle Dynamics. Business Books Limited.

    Google Scholar 

  • Fosser, S. (1992). An experimental evaluation of the effects of periodic motor-vehicle inspection on accident rates. Accident Analysis and Prevention 24, 6, 599–612.

    Article  Google Scholar 

  • García-Pozuelo Ramos, D., Gauchía, A., Boada, B. L. and Díaz, V. (2010). New procedure to estimate the brake warping in a Roller tester. Int. J. Automotive Technology 11, 5, 691–699.

    Article  Google Scholar 

  • García-Pozuelo, D., Calvo, J. A., Gauchia, A. and Díaz, V. (2007). Measurement of lateral tyre force as vehicle inspection instrument. 12th IFToMM World Cong., France.

    Google Scholar 

  • García-Pozuelo, D., Díaz, V. and Boada, M. J. L. (2009). A contact model between tyre and pavement at low speed for periodic motor vehicle inspection. 2009 ASME Cong. (IMECE), Florida, USA.

    Google Scholar 

  • García-Pozuelo, R. D. (2008). Modelo de Contacto Neumático-calzada a Baja Velocidad. Ph.D. Dissertation. Mechanical Engineering, University Carlos III, Madrid. Spain.

    Google Scholar 

  • Gillespie, T. D. (1992). Fundamentals of Vehicle Dynamics. Society of Automotive Engineers. Inc.

    Book  Google Scholar 

  • Gim, G. and Nikravesh, E. (1990). An analytical model of pneumatic tyres for vehicle dynamic simulations. Part 1: Pure slips. Int’l J. Vehicle Design, 11, 589–618.

    Google Scholar 

  • Gim, G. and Nikravesh, P. E. (1990). An analytical model of pneumatic tyres for vehicle dynamic simulations. Part 1. Pure slips. Int. J. Vehicle Design, 11, 589–618.

    Google Scholar 

  • Ginn, J., Miller, R., Marlowe, R. and Heimovics, J. (1962). The B. F. Goodrich tire dynamic machine. SAE Paper No. 490B.

    Book  Google Scholar 

  • Gough, V. (1958). Friction of Rubber. The Engineer. Deutsche Kautschuk-Gesellschaft. Frankfurt/Main.

    Google Scholar 

  • Guo, K. and Lu, D. (2007). Unitire: Unified tire model for vehicle dynamic simulation. Vehicle System Dynamics, 45, 79–99.

    Article  MathSciNet  Google Scholar 

  • Hall, W., Mottram, J. T., Dennehy, D. J. and Jones, R. P. (2003). Characterisation of the contact patch behaviour of an automobile tyre by physical testing. Int’l J. Vehicle Design, 31, 354–376.

    Article  Google Scholar 

  • Harned, J., Johnston, L. and Scharpf, G. (1969). Measurement of tire brake forces characteristics as related to wheel slip (antilock) control system design. SAE Trans., 78, 909–925.

    Google Scholar 

  • ISO TR-3888-1 (1999). Passenger Cars. “Test track for a severe lane-change manoeuvre”. Int. Organization for Standardization.

    Google Scholar 

  • Ko, Y. E. and Song, C. K. (2010). Vehicle modeling with nonlinear tires for vehicle stability analysis. Int. J. Automotive Technology 11, 3, 339–344.

    Article  Google Scholar 

  • Koesler, P. and Klaue, J. (1937). Der Kraftschlus Zwischen Rad und Fahrbahn, ATZ, 9.

    Google Scholar 

  • Lee, D. J. and Park, Y. S. (2011). Sliding-mode-based parameter identification with application to tire pressure and tire-road friction. Int. J. Automotive Technology 12, 4, 571–577.

    Article  Google Scholar 

  • Li, L., Wang, F. and Zhou, Q. (2006). Integrated longitudinal and lateral tire/road friction modeling and monitoring for vehicle motion control. IEEE Trans. Intelligent Transportation Systems, 7, 1–19.

    Article  Google Scholar 

  • Lugner, P., Pacejka, H. B. and Plöchl, M. (2005). Recent advances in tyre models and testing procedures. Vehicle System Dynamics, 43, 413.

    Article  Google Scholar 

  • Martin, J. L. and Laumon, B. (2005). Tyre blow-outs and motorway accidents. Traffic Injury Prevention 6, 1, 53.

    Article  Google Scholar 

  • Muñoz, B., Ramirez, M. and Díaz, V. (2006). Development of a new methodology for vehicle steering system inspection. J. Automobile Engineering, 220, 1515–1526.

    Article  Google Scholar 

  • M’Sirdi, N., Rabhi, A., Zbiri, N. and Delanne, Y. (2005). Vehicle-road interaction modelling for estimation of contact forces. Vehicle System Dynamics, 43, 403–441.

    Article  Google Scholar 

  • Nozaki, H. (2006). Technique of separate measuring side slip for toe angle and camber angle. Int. J. Automotive Technology 7, 6, 681–686.

    Google Scholar 

  • Pacejka, H. and Besselink, I. J. M. (1997). Magic formula tyre model with transient properties. Vehicle System Dynamics, 27, 234–249.

    Article  Google Scholar 

  • Pacejka, H. B. (2009). Tyre and Vehicle Dynamics. Society of Automotive Engineers. USA.

    Google Scholar 

  • Pacejka, H. B. and Sharp, R. S. (1991). Shear force development by pneumatic tyres in steady state conditions: A review of modelling aspects. Vehicle System Dynamic, 20, 121–176.

    Article  Google Scholar 

  • Pottinger, M., Marshall, K. and Arnold, G. (1976). Effects of test speed and surface curvature on cornering properties of tires. SAE Paper No. 760029.

    Book  Google Scholar 

  • Rosa, R. D., Stazio, F. D., Giordano, D., Russo, M. and Terzo, M. (2008). Thermotyre: Tyre temperature distribution during handling manouvres. Vehicle System Dynamics, 46, 831–844.

    Article  Google Scholar 

  • Smiley, R. (1956). Correlation Evaluation and Extension of Linearized Theories for Tire Motion and Wheel Shimmy. Technical Report 3632, MACA Technical Note.

    Google Scholar 

  • UNECE (1958). Accord Concernant ĽAdoption de Conditions Uniformes D’Homologation et la Reconnaissance Réciproque de ĽHomologation des Equipements et Pièces de Véhicules à Moteur, Rev.2, 10/10/1995 edn, United Nations, Economic Commission For Europe, Ginebra.

    Google Scholar 

  • UNECE (1997). Accord Concernant Ľadoption de Conditions Uniformes Applicables au Contrôle Technique Périodique des Véhicules à Roues et la Reconnaissance Réciproque des Contrôles, United Nations, Economic Commission For Europe, Viena.

    Google Scholar 

  • UNECE (1998b). Consolidated Resolution on Road Traffic (R.E.1.), Revision 5, Annex 2. Periodic Inspection of Vehicles — Checks to be Carried Out (Recommendation 2.6.). List of items to be Inspected, United Nations, Economic Commission For Europe, Ginebra.

    Google Scholar 

  • Wei, D., Li, K. and Wang, X. (2005). Research on the precise calculation and control strategy of front wheel toe-in of vehicles. Vehicular Electronics and Safety. IEEE Int. Conf., 12.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. Garcia-Pozuelo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Garcia-Pozuelo, D., Diaz, V. & Boada, M.J.L. New tyre-road contact model for applications at low speed. Int.J Automot. Technol. 15, 553–564 (2014). https://doi.org/10.1007/s12239-014-0058-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12239-014-0058-y

Key Words

Navigation