Skip to main content
SpringerLink
Log in

Mathematical modeling attributed to kinematics and dynamics of a vehicle with 4-wheels

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

This paper describes the mathematical modeling corresponding to the kinematics and dynamics of a vehicle with 4-wheels (light vehicles), to determine that the vehicle design meets and guarantees better driveability on a local road or highway. The mathematical modeling referring to the kinematics and dynamics (factors influencing vehicle performance) is proposed for traction on the front 2-wheels and for the 4-wheels of the vehicle, allowing to classify the type of vehicle and where it can be implemented. Is presented and justified the computational simulation of kinematic variable that directly influences vehicle dynamics.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Adapted from [11]

Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Adapted from [26]

Fig. 13

Similar content being viewed by others

References

  1. D. Chu, Z. Li, J. Wang, C. Wu, Z. Hu, Measurement 130, 404 (2018)

    Article  ADS  Google Scholar 

  2. S. Yim, J. Mech. Sci. Technol. 26, 213 (2012)

    Article  Google Scholar 

  3. S. Yim, K. Jeon, K. Yi, Int. J. Control Autom. Syst. 10, 275 (2012)

    Article  Google Scholar 

  4. A.B. Dunwoody, S. Froese, in SAE International, Warrendale, PA, USA. SAE Technical Paper, p. 933045(1993)

  5. K.S. You, L. Sun, W.J. Gu, J. Southeast Univ. 42, 151 (2012)

    Google Scholar 

  6. K.S. You, L. Sun, W.J. Gu, J. Traffic Transp. Eng. 12, 1 (2012)

    Google Scholar 

  7. K. You, L. Sun, J. Transp. Eng. 139, 804 (2013)

    Article  Google Scholar 

  8. Y. Yin, H. Wen, L. Sun, W. Hou, J. Adv. Transp. 7943739, 5 (2020)

  9. T. Tang, S. He, M. Ye, E. Xu, W. Zheng, Shock Vibr. 7146828, 5 (2020)

  10. R. Liu, M. Wei, N. Sang, J. Wei, Math. Probl. Eng. 3108589, 5 (2020)

  11. W. Li, F. Kang, Math. Probl. Eng. 5971746, 5 (2020)

  12. G. Gao, J. Wang, T. Ma, W. Liu, T. Lei, Math. Probl. Eng. 5921285, 8 (2020)

  13. D.C. Andrade et al., IEEE Trans. Intell. Transp. Syst. 20, 1497 (2019)

    Article  Google Scholar 

  14. W.B. Lenz, A.M. Tusset, R.T. Rocha, F.C. Janzen, A. Kossoski, M.A. Ribeiro, A. Nabarrete, J.M. Balthazar, Int. Rev. Mech. Eng. 13, 47 (2019)

    Google Scholar 

  15. B. Jacobson, et al., Vehicle dynamics. Compendium for Chalmers. Chalmers University of Technology, Sweden Göteborg, p. 19 (2017)

  16. C.F. Christiansen, R. Battaiotto, D. Fernandez, E. Tacconi, IEEE Trans. Industr. Electron. 36, 79 (1989)

    Article  Google Scholar 

  17. W. Jianyong, T. Houjun, L. Shaoyuan, F. Wan, IEEE Chin. Control Conf. 26-31, 730 (2007)

  18. D. Moldovanu, A. Csato, N. Bagameri, IOP Conf. Ser. Mater. Sci. Eng. 568, 012092 (2019)

    Article  Google Scholar 

  19. R.N. Jazar, Vehicle Dynamics: Theory and Application, 3rd edn. (Springer International Publishing, Cham, Switzerland, 2017)

    Book  Google Scholar 

  20. L.D. Metz, SAE Technical Paper (1993)

  21. Z. Pusztai, P. Kőrös, in Conference on Innovative Pneumatic Vehicles, p. 1 (2020)

  22. R.N. Jazar, Vehicle Dynamics: Theory and Application. 1. ed. (Springer Science\(+\)Business Media, New York, 2008)

  23. M.W. Choi, J.S. Park, B.S. Lee, M.H. Lee, IEEE International Conference on Control, Automation and Systems, p. 197 (2008)

  24. A. Bourmistrova, M. Simic, R. Hoseinnezhad, R.N. Jazar, J. Syst. Cybern. Inf. 9, 56 (2011)

  25. T.D. Gillespie, Fundamentals of Vehicle Dynamics, vol. 400 (Society of automotive engineers-SAE, Warrendale, 1992)

    Book  Google Scholar 

  26. MathWorks (2020), https://de.mathworks.com/help/robotics/ug/plot-ackermann-drive-vehicle-in-simulink.html

Download references

Author information

Authors and Affiliations

  1. Federal University of Technology-Paraná (UTFPR), Ponta Grossa, PR, Brazil

    Calequela J. T. Manuel, Max M. D. Santos & Angelo M. Tusset

Authors
  1. Calequela J. T. Manuel
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Max M. D. Santos
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Angelo M. Tusset
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Calequela J. T. Manuel.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Manuel, C.J.T., Santos, M.M.D. & Tusset, A.M. Mathematical modeling attributed to kinematics and dynamics of a vehicle with 4-wheels. Eur. Phys. J. Spec. Top. 230, 3663–3672 (2021). https://doi.org/10.1140/epjs/s11734-021-00238-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjs/s11734-021-00238-2

Search

Navigation