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Experimental and theoretical analysis of high-speed radial tire standing waves

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Abstract

This study is based on the Tire and Rim Association (TRA) load formula, which introduced the relationship between static load and sinking force of the tire. It also established the mathematical model of the cord tension of any layer of the tire ring beam. A finite element model for a 195/65 R15 radial tire is established with the nonlinear analysis software ABAQUS, based on the tire structure and cord parameters. The calculated value from the TRA formula, simulated value and the experimental result demonstrates high consistency for the value of load sinking. Finite element simulation and experimental results of the load-versus-inflatable-section-width relation were compared, yielding little difference between the results. A similar analysis studies the change in the wavelength of sidewall standing waves at different vehicle velocities during high-speed tire-rolling. The value from simulation and the experimental results demonstrate high consistency, concluding that the wavelength of sidewall standing waves increases with vehicle velocity during high-speed tire-rolling. Thus, the accuracy of the finite element model is verified under both static and dynamic conditions. Based on the finite element model of the impact of change on velocity, load and tire pressure on tire cord stress, it can be concluded that with the increase in the speed and the tire pressure, the stress developed on cord increases and the impact of the load on it is lighter. Establishing the relationship between standing wave phenomenon and tire structural stress, it provides a certain mechanical basis for tire designers.

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References

  1. Clark SK (1981) Mechanics of pneumatic tires. US Government Printing Office, Washington, DC

    Google Scholar 

  2. Togo K (1964) Standing wave on pneumatic tire at high speed. Mem Def Acad 4(1):43–56

    Google Scholar 

  3. Ames F (1970) Waves in tires. Text Res J 20:498–503

    Article  Google Scholar 

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

    Article  Google Scholar 

  5. Turner DM (1954) Wave phenomenon in tyres at high speed. In: Proceedings of third rubber technology conference, London

  6. Brockman RA, Champion JH, Medzorian JP (1992) Finite element analysis of tire critical speeds. Comput Struct 43(3):581–593

    Article  Google Scholar 

  7. Padovan J (1976) On viscoelasticity and standing waves in tires. Tire Sci Technol 4(4):233–246

    Article  Google Scholar 

  8. Chang YP, El-Gindy M, Streit DA (2003) Influence of tyre loading and inflation pressure on standing waves phenomenon using PAM-SHOCK. Int J Heavy Veh Syst 10(1-2):86–111

    Article  Google Scholar 

  9. Ji XW, Gao YM, Zhuang JD (1994) The dynamic stiffness and damping characteristics of the tire. Automot Eng 16(5):315–320

    Google Scholar 

  10. Chatterjee A, Cusumano JP, Zolock JD (1998) Standing waves in a simple model of a rotating balloon tire. Sci Mech 227(5):209–217

    Google Scholar 

  11. Chatterjee A, Cusumano JP, Zolock JD (1999) On contact-induced standing waves in rotating tires: experiment and theory. J Sound Vib 227(5):1049–1081

    Article  Google Scholar 

  12. Gardner ER, Worswick T (1951) Behavior of tires at high speed. Trans Proc Inst Rubber Ind 27(2):127–146

    Google Scholar 

  13. Wang XY (1999) Mechanical analysis and design of composite materials. National Defense Science and Technology University Press, Changsha

    Google Scholar 

  14. Jie LF (2007) Research on force model and testing technology of tire cord based on composite theory. Jiangsu University, Jiangsu

    Google Scholar 

  15. Jenog KM (2016) Prediction of burst pressure of a radial truck tire using finite element analysis. World J Eng Technol 4(2):228–237

    Article  Google Scholar 

  16. Palanivelu S, Narasimha KV, Ramarathnam KK (2015) Determination of rolling tyre modal parameters using finite element techniques and operational model analysis. Mech Syst Signal Process 64:385–402

    Article  Google Scholar 

  17. Ozaki S, Kondo W (2016) Finite element analysis of tire traveling performance using anisotropic frictional interaction model. J Terrramech 64:1–9

    Article  Google Scholar 

  18. Wei CF, Olatunbosun OA (2014) Transient dynamic behavior of finite element tire traversing obstacles with different heights. J Terrramech 56:1–16

    Article  Google Scholar 

  19. Yu Q, Ding JP, Zhang AQ (2006) Radial tire structure design and manufacturing technology. Chemical Industry Press, Beijing

    Google Scholar 

  20. Yan S (2013) Finite element analysis and experimental study on radial truck tire. Qingdao University of Science and Technology, Shandong

    Google Scholar 

  21. Spenger W, Wagner W (1999) On the formulation of geometrically 3D-rebar-elements using the enhanced assumed strain methods. Eng Struct 21(3):209–218

    Article  Google Scholar 

  22. Mashadi B, Salman EN, Mohammad A (2019) A rolling resistance estimate using nonlinear finite element numerical analysis of a full three-dimensional tyre model. Proc Inst Mech Eng Part D J Automob Eng 233(1):147–160

    Article  Google Scholar 

  23. Lin S (2007) Finite element analysis for the all-steel radial tire. Harbin Institute of Technology, Harbin

    Google Scholar 

  24. Cheng DD (2014) Three-dimensional fine mesh finite element analysis of radial tire. Donghua University, Shanghai

    Google Scholar 

  25. De Eskinazi J, Ridha RA, Feng YM (1980) Finite element analysis of large earthen tires. Rubber Ref Mater 53(4):849–902

    Google Scholar 

  26. Zhang X (2002) Stress analysis of the multi-layered system of a truck tire. Tire Soc 30(4):240–264

    Article  Google Scholar 

  27. Pinnington RJ (2006) A wave model of a circular tyre. Part 1: belt modelling. J Sound Vib 290(1–2):101–132

    Article  Google Scholar 

Download references

Acknowledgements

This entire study works are sustained by Natural National Science Foundation of China No. 51475399, the Education and Scientific Research Projects for Middle and Young-aged Teachers of Fujian No. JA15376 and Science & Technology Innovation Project of Fujian Province, China No. 2016H2003.

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Authors and Affiliations

  1. School of Mechanical and Automotive Engineering, Xiamen University of Technology, Xiamen, 361024, China

    Shui-Ting Zhou, Meng Du, Peng-Fei Sun, Yi-Jui Chiu & Jun-Wen Fan

  2. Fujian Collaborative Innovation Center for R&D of Coach and Special Vehicle, Xiamen, 361024, China

    Shui-Ting Zhou

  3. Fujian Key Laboratory of Advanced Design and Manufacture for Bus Coach, Xiamen, 361024, China

    Meng Du

  4. School of Aerospace Engineering, Xiamen University, Xiamen, 361005, China

    Peng-Fei Sun

  5. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an, 710000, Shanxi Province, China

    Yi-Jui Chiu

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  1. Shui-Ting Zhou
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  2. Meng Du
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  3. Peng-Fei Sun
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  4. Yi-Jui Chiu
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Correspondence to Peng-Fei Sun.

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Technical Editor: Wallace Moreira Bessa, D.Sc.

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Zhou, ST., Du, M., Sun, PF. et al. Experimental and theoretical analysis of high-speed radial tire standing waves. J Braz. Soc. Mech. Sci. Eng. 42, 200 (2020). https://doi.org/10.1007/s40430-020-2253-2

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  • DOI: https://doi.org/10.1007/s40430-020-2253-2

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