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.
Similar content being viewed by others
References
Pazooki Alireza, Rakheja Subhash, Cao Dongpu (2012) Modeling and validation of off-road vehicle ride dynamics. Mech Syst Signal Process 28:679–695
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
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
Winroth Julia, Kropp Wolfgang, Hoever Carsten, Höstmad Patrik (2017) Contact stiffness considerations when simulating tyre/road noise. J Sound Vib 409:274–286
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
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
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
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
Tamada R, Shiraishi M (2017) Prediction of uneven tire wear using wear progress simulation. Tire Sci Technol 45(2):87–100
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
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
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
Krylov VV, Gilbert O (2010) On the theory of standing waves in tyres at high vehicle speeds. J Sound Vib 329(21):4398–4408
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
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
Lecomte C, Graham WR, Dale M (2010) A shell model for tyre belt vibrations. J Sound Vib. 329:1717–1742
Sandu Corina, Umsrithong Anake (2014) Discrete mass tyre model for ride investigation over uneven rigid terrain. Int J Veh Des 66(1):87–106
Gipser Michael (2016) FTire and puzzling tyre physics: teacher, not student. Vehicle System Dynamics 54(4):448–462
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
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
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
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
Acknowledgements
This work was supported by National Science Foundation of China [51475462].
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare no conflict of interest.
Additional information
Technical Editor: Kátia Lucchesi Cavalca Dedini.
Rights and permissions
About this article
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
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40430-018-1024-9