Topological Shape Optimization Design of the Whole Bead of 265/35R18 Steel-Belted Radial Tire

Authors

  • Yong Li College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, 266590, China
  • Shuang Zhang College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, 266590, China
  • Tao Wang College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, 266590, China
  • Kai Zhang College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, 266590, China
  • Long Chen College of Materials Science and Engineering, Shandong University of Science and Technology, Qingdao, 266590, China
  • Shanling Han College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao, 266590, China https://orcid.org/0000-0001-8108-6843

DOI:

https://doi.org/10.6000/1929-5995.2023.12.06

Keywords:

Radial tire, topological whole bead, finite element simulation, topology shape optimization, interlaminar shear stress criterion

Abstract

The tire bead, as the most important load-bearing component at the bead area, is closely related to the durability of the tire, but its structure is developing slowly. For this reason, the topological whole bead design was proposed, although it performs well, many defects existed due to the design based on traditional experience. Therefore, this paper studies the topology shape optimization algorithm, delves into the main criterion based on von Mises and the interlaminar shear stress, and provides guidance for the structurally optimal design of the 265/35R18 radial tire whole bead. The finite element simulation results show that the von Mises of the inner end of the chafer and the end of the carcass cord are reduced by 14.48% and 24.12%, respectively. The interlaminar shear stress decreased by 28.96% and 49.51%, respectively. The von Mises of chafer and carcass cord decreased by 13.17% to 40.36% and 7.71% to 20.51%, respectively. The optimization design is of great significance to further improve the safety performance of tires.

References

Zhang S, Han S, Zhang K, Chen L, Li Y. Study on optimizing transition layer thickness to reduce tire sidewall delamination. Journal of Physics: Conference Series. IOP Publishing 2023; 012040. https://doi.org/10.1088/1742-6596/2483/1/012040 DOI: https://doi.org/10.1088/1742-6596/2483/1/012040

Li Y, Sun X, Zhang S, Miao Y, Han S. Experimental investigation and constitutive modeling of the uncured rubber compound based on the DMA strain scanning method. Polymers 2020; 12: 1-12. https://doi.org/10.3390/polym12112700 DOI: https://doi.org/10.3390/polym12112700

Zhang Y, Wang Y, Jiang Z, Zheng L, Chen J, Lu J. Subdomain adaptation network with category isolation strategy for tire defect detection. Measurement 2022; 204: 112046. https://doi.org/10.1016/j.measurement.2022.112046 DOI: https://doi.org/10.1016/j.measurement.2022.112046

Linden M, Eckstein L, Schlupek M, Duning R. Investigation of the pressure distribution between tire bead and rim flange under static load conditions-untersuchung der druckverteilung zwischen reifenwulst und felgenhorn unter statischen lastzustanden. VDI Berichte 2022; 2022: 97-116. https://doi.org/10.51202/9783181023983-97 DOI: https://doi.org/10.51202/9783181023983-97

Zhang N, Lin JY, Liu XY, Xing LJ, Hao YH. Finite element analysis on bead crack in radial tire. Journal of Highway and Transportation Research and Development 2019; 36: 144-150. https://doi.org/10.3969/j.issn.1002-0268.2019.04.020

Baranowski P, Małachowski J, Mazurkiewicz Ł. Local blast wave interaction with tire structure. Defence Technology 2020; 16: 520-529. https://doi.org/10.1016/j.dt.2019.07.021 DOI: https://doi.org/10.1016/j.dt.2019.07.021

Yu B, Xing C, Cai Y. Structural optimization design for improving aging durability of light truck and bus radial tire. Tire Industry 2020; 40: 588-592. https://doi.org/10.12135/j.issn.1006-8171.2020.10.0588

Palika P, Huady R, Hagara M, Lengvarsky P. Optimization of apex shape for mounting to the bead Bundle using FEM. Materials 2023; 16: 377-377. https://doi.org/10.3390/ma16010377 DOI: https://doi.org/10.3390/ma16010377

Jiang H, Sun Z, Liu C. Finite element study on factors affecting bead durability of all-steel radial tire. Tire Industry 2019; 39: 525-531. https://doi.org/CNKI:SUN:LTGY.0.2019-09-002

Sanjeev kumar R, Vetrivel kumar K, Ramakrishnan T. Design optimization of airless tyre - Numerical Approach. IOP Conference Series: Materials Science and Engineering 2021; 1057: 12-32. https://doi.org/10.1088/1757-899X/1057/1/012032 DOI: https://doi.org/10.1088/1757-899X/1057/1/012032

Li Y, Sun X, Song J, Zhang S, Han S. Topological structure and experimental investigation of a novel whole tire bead. Materials & Design 2021; 203: 109592. https://doi.org/10.1016/j.matdes.2021.109592 DOI: https://doi.org/10.1016/j.matdes.2021.109592

Li Y, Zhang S, Feng Q, Qi S, Han S, Chen L. Topological shape optimisation of a novel whole bead structure based on an interlaminar shear stress criterion. International Journal of Mechanics and Materials in Design 2022; 18: 961-974.

http://dx.doi.org/10.1007/s10999-022-09614-9 DOI: https://doi.org/10.1007/s10999-022-09614-9

Haichao H, Qiang W, Boya L, et al. Progressive damage behaviour analysis and comparison with 2D/3D hashin failure models on carbon fibre–reinforced aluminium laminates. Polymers 2022; 14: 29-46. https://doi.org/10.3390/POLYM14142946 DOI: https://doi.org/10.3390/polym14142946

Cardim HP, Minillo LQ, Nakao F, Ortenzi A. Dynamic elastic modulus variability in anisotropic and isotropic materials: comparison by acoustic emission. Journal of Research Updates in Polymer Science 2023; 12: 19-26. https://doi.org/10.6000/1929-5995.2023.12.01 DOI: https://doi.org/10.6000/1929-5995.2023.12.01

Pino GGD, Bezazi A, Boumediri H, et al. Numerical and experimental analyses of hybrid composites made from amazonian natural fiber. Journal of Research Updates in Polymer Science 2023; 12: 10-18. https://doi.org/10.6000/1929-5995.2023.12.02 DOI: https://doi.org/10.6000/1929-5995.2023.12.02

Yungao R, Zeng M, Huanlin Z. Structural optimization design of non-uniform stiffened cylindrical shells with geometric imperfection. Journal of Applied Mechanics 2021; 38: 458-464. https://doi.org/10.11776/cjam.38.02.C028

Jianping Y, Liwei Z, Zhijun W, Yongjia X, You M. Optimizing design of a multi-mode warhead. Ordnance Material Science and Engineering 2014; 37: 15-18. https://doi.org/10.14024/j.cnki.1004-244x.2014.01.034

Pagani A, Azzara R, Wu B, Carrera E. Effect of different geometrically nonlinear strain measures on the static nonlinear response of isotropic and composite shells with constant curvature. International Journal of Mechanical Sciences 2021; 209: 106713. https://doi.org/10.1016/j.ijmecsci.2021.106713 DOI: https://doi.org/10.1016/j.ijmecsci.2021.106713

Li Q, Li H. Continuum structure topology optimization method based on improved SIMP method. Journal of Mechanical & Electrical Engineering 2021; 38: 428-433. https://doi.org/10.3969/j.issn.1001-4551.2021.04.004

Dong L, Wu X. Integrated topology optimization of materials and structures based on variable density method. Journal of Mechanical & Electrical Engineering 2020; 37: 1109-1114. https://doi.org/CNKI:SUN:JDGC.0.2020-09-021

Huang Y, Li C, Meng X, Yong Z. FEA optimization design of belt cord for 235/45R18 tire. China Rubber Industry 2020; 67: 209-213.

Feng Q, Yong Z. Finite element optimization design of 12R22.5 tire belt cords. China Elastomerics 2021; 31: 29-33. https://doi.org/10.16665/j.cnki.issn1005-3174.2021.04.006

Heyman. Elements of stress analysis. Cambridge: Cambridge University Press, 1982.

Xue G. Analysis of mechanical properties of welded joints based on mises yield criterion and I1 fracture criterion. Development and Application of Materials 2022; 37: 1-10. https://doi.org/10.19515/j.cnki.1003-1545.2022.05.015

Maciej B, Jan G, Aleksandra B, Krzysztof W. Numerical simulation of dry ice compaction process: comparison of Drucker-Prager/Cap and cam clay models with experimental results. Materials 2022; 15: 5771-5771. https://doi.org/10.3390/MA15165771 DOI: https://doi.org/10.3390/ma15165771

Guo J, Yang Q, Lu X, et al. Research on generalized unified strength theory of rock (mass) failure. Journal of China Coal Society 2021; 46: 3869-3882. https://doi.org/10.13225/j.cnki.jccs.2021.0245

Tsao CC, Hocheng H. A review of backup mechanism for reducing delamination when drilling composite laminates. Journal of Research Updates in Polymer Science 2016; 5: 97-107. https://doi.org/10.6000/1929-5995.2016.05.03.2 DOI: https://doi.org/10.6000/1929-5995.2016.05.03.2

Schoeftner J. An accurate and refined beam model fulfilling the shear and the normal stress traction condition. International Journal of Solids and Structures 2022; 243. https://doi.org/10.1016/j.ijsolstr.2022.111535 DOI: https://doi.org/10.1016/j.ijsolstr.2022.111535

Zhuang H, Wang J, Gao Z. Anisotropic and noncoaxial behavior of soft marine clay under stress path considering the variation of principal stress direction. International Journal of Geomechanics 2022; 22: 04022062. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002390 DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0002390

Peng C Y, Zeng J C, Xiao J Y, Gang D U. Analytic solutions to mean interlaminar shear stress of cross-ply laminate under compression loads. Fiber Reinforced Plastics/Composites 2006: 3-6.

Zhang Q, Shi J, Suo S, Meng G. Finite element analysis of rubber materials based on Mooney Rivlin model and Yeoh model. China Synthetic Rubber Industry 2020; 43: 468-471.

Chen JS, Wu CT, Pan C. A pressure projection method for nearly incompressible rubber hyperelasticity, Part II: applications. Journal of Applied Mechanics 1996; 63: 869-876. https://doi.org/10.1115/1.2787241 DOI: https://doi.org/10.1115/1.2787241

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Published

2023-07-19

How to Cite

Li, Y. ., Zhang, S. ., Wang, T. ., Zhang, K. ., Chen, L. ., & Han, S. . (2023). Topological Shape Optimization Design of the Whole Bead of 265/35R18 Steel-Belted Radial Tire. Journal of Research Updates in Polymer Science, 12, 47–70. https://doi.org/10.6000/1929-5995.2023.12.06

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