Skip to main content

Advertisement

Log in

Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

With the means of rigid-elastic coupled tire model, the in-plane vibration characteristic of heavy truck tire is investigated and the time-domain vibration response with the proposed tire model is discussed. With the means of finite difference method, rigid–elastic coupled tire model is developed from flexible beam on elastic foundation tire model and the nonlinear radial stiffness of sidewall is derived and related with the inflation pressure and geometrical feature of sidewall curved arc. In-plane vibration characteristic of heavy truck tire, including transfer function and modal parameters is investigated by experimental hammer test. Taking the error between the analytical and experimental modal frequency as the object value, Genetic Algorithm is utilized to identify the un-known structural parameters. In-plane time-domain dynamics response of heavy truck tire utilizing the proposed tire model with linear/nonlinear sidewall radial stiffness is researched and compared with experimental result. Experimental and theoretical results shows that in-plane rigid–elastic coupled tire model with nonlinear sidewall stiffness can be used to better the precision on predicting the vibration feature excited by the random irregular signal. Rigid–elastic coupled tire model with nonlinear sidewall stiffness can be extended to other heavy truck tire with a large section ratio or tires under impulsive loading conditions.

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.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19

Similar content being viewed by others

References

  1. Pazooki Alireza, Rakheja Subhash, Cao Dongpu (2012) Modeling and validation of off-road vehicle ride dynamics. Mech Syst Signal Process 28:679–695

    Article  Google Scholar 

  2. Soltani Amir, Goodarzi Avesta, Shojaeefard Mohamad Hasan (2015) Optimizing tire vertical stiffness based on ride, handling, performance, and fuel consumption criteria. J Dyn Syst Meas Control 137:121004

    Article  Google Scholar 

  3. Li L, Yang K, Jia G, Ran X, Song J, Han Z-Q (2015) Comprehensive tire–road friction coefficient estimation based on signal fusion method under complex maneuvering operations. Mech Syst Signal Process 56–57:259–276

    Article  Google Scholar 

  4. Winroth Julia, Kropp Wolfgang, Hoever Carsten, Höstmad Patrik (2017) Contact stiffness considerations when simulating tyre/road noise. J Sound Vib 409:274–286

    Article  Google Scholar 

  5. Emmanuel O (2012) Bolarinwa, Umashankar Mahadevaiah, Dhafer Marzougui, Kenneth S Opiela. The development of an enhanced finite element tire model for roadside safety hardware assessment. Proc IMechE Part K 226(3):206–219

    Google Scholar 

  6. Recuero Antonio, Serban Radu, Peterson Bryan et al (2017) A high-fidelity approach for vehicle mobility simulation: nonlinear finite element tires operating on granular material. J Terrramech 72:39–54

    Article  Google Scholar 

  7. Xianbin Du, Zhao Youqun, Lin Fen, Hongxun Fu, Wang Qiang (2017) Numerical and experimental investigation on the camber performance of a non-pneumatic mechanical elastic wheel. J Brazil Soc Mech Sci Eng. 39:3315

    Article  Google Scholar 

  8. Mazin A, Kapustin A, Soloviev M et al (2017) Rubber composition-properties relationships during tire numerical simulation and design optimization. Tire Sci Technol 45(1):71–84

    Article  Google Scholar 

  9. Tamada R, Shiraishi M (2017) Prediction of uneven tire wear using wear progress simulation. Tire Sci Technol 45(2):87–100

    Article  Google Scholar 

  10. Matsubara Masami, Tajiri Daiki, TomohikoIse (2017) Vibrational response analysis of tires using a three-dimensional flexible ring-based model. J Sound Vib 408:368–382

    Article  Google Scholar 

  11. Wang Chunjian, Ayalewa Beshah, Rhyne Timothy, Cron Steve (2016) Forced in-plane vibration of a thick ring on a unilateral elastic foundation. J Sound Vib 380:279–294

    Article  Google Scholar 

  12. Lu T, Tsouvalas A, Metrikine AV (2017) The in-plane free vibration of an elastically supported thin ring rotating at high speeds revisited. J Sound Vib 402:203–218

    Article  Google Scholar 

  13. Krylov VV, Gilbert O (2010) On the theory of standing waves in tyres at high vehicle speeds. J Sound Vib 329(21):4398–4408

    Article  Google Scholar 

  14. Lee Jongsuh, Wang Semyung, Pluymers Bert et al (2015) A modified complex modal testing technique for a rotating tire with a flexible ring model. Mech Syst Signal Process. 60–61:604–618

    Article  Google Scholar 

  15. TrongDaiVu DenisDuhamel, Abbadi Zouhir, Yin Hai-Ping, Gaudin Arnaud (2017) A nonlinear circular ring model with rotating effects for tire vibrations. J Sound Vib 388:245–271

    Article  Google Scholar 

  16. Lecomte C, Graham WR, Dale M (2010) A shell model for tyre belt vibrations. J Sound Vib. 329:1717–1742

    Article  Google Scholar 

  17. Sandu Corina, Umsrithong Anake (2014) Discrete mass tyre model for ride investigation over uneven rigid terrain. Int J Veh Des 66(1):87–106

    Article  Google Scholar 

  18. Gipser Michael (2016) FTire and puzzling tyre physics: teacher, not student. Vehicle System Dynamics 54(4):448–462

    Article  Google Scholar 

  19. Ma Rui, Ferris John B, Reid Alexander A, Gorsich David J (2015) A planar quasi-static constraint mode tyre model. Vehicle Syst Dyn 53(12):1759–1771

    Article  Google Scholar 

  20. Li B, Yang X, Zhang Y, Yang J. In-plane flexible ring tire model development for ride comfort & braking/driving performance analysis under straight-line driving condition. SAE Technical Paper, 2015, 2015-01-0628

  21. De Troyer T et al (2009) Fast calculation of confidence intervals on parameter estimates of least-squares frequency-domain estimators. Mech Syst Signal Process 23:261–273

    Article  Google Scholar 

  22. Bagheri M, Jafari AA, Sadeghifar M (2011) Multi-objective optimization of ring stiffened cylindrical shells using a genetic algorithm. J Sound Vib 330:374–384

    Article  MATH  Google Scholar 

Download references

Acknowledgements

This work was supported by National Science Foundation of China [51475462].

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhihao Liu.

Ethics declarations

Conflict of interest

The authors declare no conflict of interest.

Additional information

Technical Editor: Kátia Lucchesi Cavalca Dedini.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, Z., Gao, Q. Analytical investigation on tire dynamics by rigid–elastic coupled tire model with nonlinear sidewall stiffness. J Braz. Soc. Mech. Sci. Eng. 40, 80 (2018). https://doi.org/10.1007/s40430-018-1024-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40430-018-1024-9

Keywords

Navigation