Skip to main content
Log in

Research on tire pattern parameters based on multi-objective optimization

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

The tire pattern structure has a serious influence on automobile performance. In order to improve the tire performance, the strain energy density of tire tread under different working conditions was analyzed. The finite element model of longitudinal groove pattern of automobile tire was established to analyze the strain energy density under different working conditions, and the influence of parameter changes on the strain energy density of tire on dry road and slippery road was analyzed respectively. The multi-objective optimization model was established based on the finite element analysis results, and the function constraint conditions were set. Differential evolution method (DE) and non-dominated sorting genetic optimization method (NSGA-II) are used to design a multi-objective optimization program, which can quickly determine the optimization scheme after the input data. The finite element model was modified according to the optimization scheme and the strain energy density was analyzed. The results show that the performance of the optimized tire is greatly improved. The combination of finite element analysis technology and multi-objective optimization method can effectively reduce a lot of manpower, material resources and financial resources in mechanical product structure optimization.

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

  1. Editorial Department of China Journal of Highway and Transportation, Overview of academic research on chinese automotive engineering 2017, China Journal of Highway and Transport, 30(6) (2017) 1–197.

    Google Scholar 

  2. Y. LI, Study on the finite element analysis of grip and wear performance of tire and the method of synergetic promotion, Master’s Thesis, Shandong University of Technology, China (2020).

    Google Scholar 

  3. X. Peng, K. Guo and G. Shan, An experimental study on the factors affecting tire cornering characteristics, Automotive Engineering (6) (2004) 675–677.

  4. X. Peng, K. Guo and Y. Xie, Experimental study of cornering properties of radial tires on a dry pavement, Journal of Shanghai Jiaotong University (1) (2006) 148–151.

  5. X. Sun, Finite element simulation and structuraloptimization of tire pattern drainage performance, Master’s Thesis, Qingdao University of Science and Technology, China (2019).

    Google Scholar 

  6. L. Feng, Z. Zhu, X. Feng, J. Zhou, Y. Wang and X. Zhu, Finite element analysis of radial tire with complex tread pattern, Tire Industry, 37(4) (2017) 200–204.

    Google Scholar 

  7. C. Zhang and Y. Shu, Finite element analysis of tire with variable pitch patterns, Tire Industry, 36(6) (2016) 327–330.

    Google Scholar 

  8. D. Zhang, Analysis of asphalt pavement responsein nonuniform distribution of different pattern tires with finite element, Master’s Thesis, Anhui University of Science and Technology, China (2020).

    Google Scholar 

  9. D. Cheng, Three-dimensional fine mesh finite elementanalysis of radial tire, Master’s Thesis, Donghua University, China (2014).

    Google Scholar 

  10. C. Liu, Y. Li and Y. Li, Influence analysis and optimization design of pattern structure parameters on tire performance, Journal of Guangxi University (Natural Science Edition), 46(2) (2021) 344–352.

    Google Scholar 

  11. W. Li, Y. Xia and Y. Xia, Finite element analysis for cord force of truck radial tire, Chinese Quarterly of Mechanics (3) (2002) 323–330.

  12. R. Chen, Three dimensional refined finite element analysis of the bead area of radial tire by submodeling method, Master’s Thesis, University of Science and Technology of China, China (2009).

    Google Scholar 

  13. D. Lu, L. Lu and H. Wu, Study on influence of wear on tire cornering stiffness and aligning stiffness, Chinese Journal of Mechanical Engineering, 56(12) (2020) 174–183.

    Article  Google Scholar 

  14. T. Xu, Research on a semi-physical tire model considering the characteristics of the contact patch, Ph.D. Thesis, Jilin University, China (2018).

    Google Scholar 

  15. G. Wang, L. Qiao and H. Zhou, Influence of PCR tire grounding characteristics to noise and rolling resistance, Journal of Mechanical Engineering, 55(16) (2019) 123–131.

    Article  Google Scholar 

  16. Y. Mei, C. Liang, H. Zhou and G. Wang, Study on tire noise and grip performance based on tread ground deformation characteristics, Journal of Mechanical Engineering, 57(18) (2021) 214–221.

    Article  Google Scholar 

  17. G. Wang, Z. Dong and L. Chen, Study on relationship between grounding characteristics and rollingresistance of radial tire, Journal of Mechanical Engineering, 50(16) (2014) 186–192.

    Article  Google Scholar 

  18. C. Hoever and W. Kropp, A model for investigating the influence of road surface texture and tyre tread pattern on rolling resistance, Journal of Sound and Vibration, 351 (2015) 161–176.

    Article  ADS  Google Scholar 

  19. L. A. P. Barbosa and P. S. G. Magalhäes, Tire tread pattern design trigger on the stress distribution over rigid surfaces and soil compaction, Journal of Terramechanics, 58 (2015) 27–38.

    Article  Google Scholar 

  20. K. M. Jeong, S. J. Kang, W. C. Park, H. S. Kim and K. W. Kim, Finite element analysis for temperature distribution prediction of steady rolling tires with detailed tread pattern, Transactions of KSAE, 22(1) (2014) 117–125.

    Article  Google Scholar 

  21. D. A. Lee, S. B. Kim, K. B. Sung, J. A. Park, T. A. Lee and S. C. Huh, A study on the fatigue life prediction of tire belt-layers using probabilistic method, Journal of Mechanical Science and Technology, 27(3) (2013) 673–678.

    Article  Google Scholar 

  22. K. Nishiyama, H. Nakashima, T. Yoshida, H. Shimizu, J. Miyasaka and K. Ohdoi, FE-DEM with interchangeable modeling for off-road tire traction analysis, Journal of Terramechanics, 78 (2018) 15–25.

    Article  Google Scholar 

  23. H. S. Song, S. P. Jung and T. W. Park, Simulation of temperature rise within a rolling tire by using FE analysis, Journal of Mechanical Science and Technology, 32(7) (2018) 3419–3425.

    Article  Google Scholar 

  24. F. Ballo, G. Previati, G. Mastinue, M. Gobbi and G. Mastinu, Tire-rim interaction, a semi-analytical tire model, Journal of Mechanical Design, 140 (2018) 041401–1.

    Article  Google Scholar 

  25. S. Kim, H. Park, B. Moon, K. Sung, J.-M. Koo and C.-S. Seok, The prediction methodology for tire’s high speed durability regulation test using a finite element method, International Journal of Fatigue, 118 (2019) 77–86.

    Article  Google Scholar 

  26. W. Nyaaba, Durability prediction of an ultra-large mining truck tire using an enhanced finite element method, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 233(1) (2019) 161–169.

    Google Scholar 

  27. R. Rugsaj and C. Suvanjumrat, Study of geometric effectson nonpneumatic tire spoke structures using finite element method, Mechanics Based Design of Structures and Machines, 50(7) (2022) 2379–2399, DOI: 10.1080/15397734.2020.1777875.

    Article  Google Scholar 

  28. R. Rugsaj and C. Suvanjumrat, Proper radial spokes of non-pneumatic tire for vertical load supporting by finite element analysis, International Journal of Automotive Technology, 20(4) (2019) 801–812.

    Article  Google Scholar 

  29. R. Rugsaj and C. Suvanjumrat, Development of a transient dynamic finite clement model for the drum testing of a non-pneumatic tire, IOP Conf. Series: Materials Science and Engineering, 886 (2020) 012056.

    Article  CAS  Google Scholar 

  30. J. Pelc, Bias truck tire deformation analysis with finite element modeling, Appl. Sci., 10 (2020) 4326.

    Article  CAS  Google Scholar 

  31. S. Nallusamy, M. R. Narayanan and R. Suganthini Rekha, Design and performance analysis of vehicle tyre pattern material using finite element analysis and ANSYS R16.2, Key Engineering Materials (777) (2018) 426–431.

  32. J. Kledrowetz, J. Javorik and R. Keerthiwansa, Evaluation of a tyre tread pattern stiffness using FEA, Materials Science Forum, 952 (2019) 243–249.

    Article  Google Scholar 

  33. K. Hofstetter, C. Grohs, J. Eberhardsteiner and H. A. Mang, Sliding behaviour of simplified tire tread patterns investigated by means of FEM, Computers and Structures, 84(17–18) (2006) 1151–1163.

    Article  Google Scholar 

  34. A. I. Fedotov, A. S. Markov, D. Makhno and M. A. Vikulov, Influence of tire tread pattern wear on characteristics of its longitudinal adhesion with bearing surface, IOP Conf. Series: Materials Science and Engineering, 632 (2019) 012026.

    Article  Google Scholar 

  35. J. R. Choa, H. W. Lee and J. S. Sohn, Numerical investigation of hydroplaning characteristics of three - dimensional patterned tire, European Journal of Mechanics A/Solids, 25 (2006) 914–926.

    Article  ADS  Google Scholar 

  36. H. L. Li, Y. D. Dong and Z. H. Huang, Detection and analysis of tire pattern similarity based on similarity theory, China Mechanical Engineering, 32(14) (2021) 1646–1652.

    Google Scholar 

  37. A. Serafinska, M. Kaliske, C. Zopf and W. Graf, A multi-objective optimization approach with consideration of fuzzy variables applied to structural tire design, Computers and Structures, 116 (2013) 7–19.

    Article  Google Scholar 

  38. D. Bu and Y. Yin, Research on identification technology of tyre burst causes, China Automotive (3) (2020) 8–13.

  39. L. Qiu, Finite element analysis and structure optimization of all steel radial tire, Master’s Thesis, Hefei University of Technology, China (2020).

    Google Scholar 

  40. J. L. Cohon and D. H. Marks, A review and evaluation of multiobjective programing techniques, Water Resources Research, 11(2) (1975) 208–220.

    Article  ADS  Google Scholar 

  41. G. Chiandussi, M. Codegone and S. Ferrero, Comparison of multi-objective optimization methodologies for engineering applications, Computers and Mathematics with Applications, 63(5) (2012) 912–942.

    Article  MathSciNet  Google Scholar 

  42. V. Pareto, Course in Political Economy, Rouge, Lausanne (1896).

    Google Scholar 

  43. B. Xu, Research and application of multi-objective optimization algorithms base on differential evolution, Ph.D. Thesis, East China University of Science and Technology, China (2013).

    Google Scholar 

  44. Y. Chai, L. Zhang and W. Dou, Parallel NSGA-IIII based many-objective optimization for side wallsection size of highspeed train car-body, Chinese Journal of Mechanical Engineering (58) (2022).

  45. Q. Wang, Z. Yang and D. Kang, Method in identifying the parameters of magic formula tire model based on new self-adaptive differential evolution, Journal of Mechanical Engineering, 50(6) (2014) 120–128.

    Article  Google Scholar 

  46. D.-H. Chen, Rescarch of key techniques in fuzzy clustering based on objective function, Ph.D. Thesis, Xidian University, China (2012).

    Google Scholar 

Download references

Acknowledgments

This work is financially supported by the National Natural Science Foundation of China (No.51775159), the Major Science and Technology Project of Anhui Province (No.20222 96906020012) and the Science and Technology Project of Tongling City (No.20200101005).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yude Dong.

Additional information

Hongling Li, born in 1983, is currently a doctor degree candidate at School of Mechanical Engineering, Hefei University of Technology, China. Her main research interest is mechanical design and theory.

Yude Dong, born in 1966, is currently a Professor at Hefei University of Technology, China. He received his Ph.D. degree from Zhejiang University, China, in 2000. His research interests include computer aided design, software engineering and enterprise information.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, H., Dong, Y., Wang, T. et al. Research on tire pattern parameters based on multi-objective optimization. J Mech Sci Technol 38, 775–786 (2024). https://doi.org/10.1007/s12206-023-0932-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-023-0932-5

Keywords

Navigation