Topological shape optimisation of a novel whole bead structure based on an interlaminar shear stress criterion
Source abstract
Abstract
The bead area of the tire is vulnerable. As the key tire skeleton units, the whole bead typically shows promising application in guaranteeing the usability of the tires as well as the safety of the automobiles. In this paper, a further optimisation is conducted to improve the performance of the whole bead as well as the durability of tire. The suitable optimisation criterion, based on von Mises stress and interlaminar shear stress and the model of the composite in the bead region is hence established for the subsequent optimisation. After topological shape optimisation, which is intended to complete the empirical design, the von Mises stress of the carcass cord and the end of the carcass cord reduced by approximately 20 and 5–16%, respectively. During the calibration of the three-dimensional model, the interlaminar shear stress at the end of the carcass cord reduced around 30%–40%, achieving a good optimisation effect.
Source: expertdata · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Mechanical Engineering and Vibrations Research · Topology Optimization in Engineering · Gear and Bearing Dynamics Analysis
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (36)
Show source-provided references
1. Association, C.R.I.: Structural Design and Manufacturing of Radial Tire New Technology New Process and Product Quality Testing Manual. China Science and Technology Culture Press, Beijing (2007)
2. Bi-Long, Y.U.: The Research on the Shear Lag of Thin-walked Box Girder Based on the Minimum Potential Energy Principle. Journal of Jiamusi University (Natural Science Edition) (2017)
3. Buytaert, G., Luo, Y.: Study of Cu–Zn–Co ternary alloy-coated steel cord in cobalt-free skim compound. J Adhes. Sci. Technol. 28, 1545–1555 (2014)10.1080/01694243.2014.903567 ↗
4. Ding, M., Geng, D., Zhou, M., Lai, X.: Topology optimization strategy of structural strength based on variable density method. Shanghai Jiaotong Daxue Xuebao/j. Shanghai Jiaotong Univer. 55, 764–773 (2021). https://doi.org/10.16183/j.cnki.jsjtu.2019.30110.16183/j.cnki.jsjtu.2019.301 ↗
5. Emmens, W.C., van den Boogaard, A.H.: A yield criterion based on mean shear stress. In: 17th Conference of the European Scientific Association on Material Forming, ESAFORM 2014, May 7, 2014–May 9, 2014, pp. 3–10. Trans Tech Publications Ltd, Espoo (2014)10.4028/www.scientific.net/KEM.611-612.3 ↗
6. Eschenauer, H.A., Olhoff, N.: Topology optimization of continuum structures: a review. Appl. Mech. Rev. 54, 1453–1457 (2001)10.1115/1.1388075 ↗
7. Feng, Q., Yong, Z.: FEA optimization design of belt cord for 12R22.5 tire. China Elastomer. 31, 5 (2021)
8. Gustafsson, T., Videman, J.: Stabilized finite elements for Tresca friction problem. ESAIM Math. Model. Numer. Anal. 56, 1307–1326 (2022). https://doi.org/10.1051/m2an/202204810.1051/m2an/2022048 ↗
9. Haijun, L.: Research and improvement of ESO algorithm and SIMP algorithm. MA thesis, College of Mechanical Engineering of Chongqing University, Chongqing, China (2014)
10. Heyman, J.: Elements of Stress Analysis. Cambridge University Press, Cambridge (1982)
11. Huang, Y., Li, C., Meng, X., Yong, Z.: FEA optimization design of belt cord for 235/45R18 Tire. China Rubber Ind. 67, 209–213 (2020)
12. Ishihara, K., Noda, T., Sakurai, H.: Investigating applicability of the meshfree method to the structural analysis of tires. Tire Sci Technol. 40(2), 60–82(2012)10.2346/1945-5852-40.2.60 ↗
13. Kabe, K., Rachi, K., Takahashi, N., Kaga, Y.: Tire design methodology based on safety factor to satisfy tire life (simulation approach to truck and bus tire design). Tire Sci. Technol. 33, 195–209 (2005)10.2346/1.2174343 ↗
14. Kamal, M., Rahman, M.M.: Advances in fatigue life modeling: a review. Renew. Sustain. Energy Rev. 82, 940–949 (2018). https://doi.org/10.1016/j.rser.2017.09.04710.1016/j.rser.2017.09.047 ↗
15. Koval, K.: Mixed boundary transmission problems for the linear theory of elasticity. Lobachevskii J. Math. 42(5), 931–941 (2021)10.1134/S1995080221050085 ↗
16. Li, Y., Sun, X., Song, J., Zhang, S., Han, S.: Topological structure and experimental investigation of a novel whole tire bead. Mater Des 203, 109592 (2021). https://doi.org/10.1016/j.matdes.2021.10959210.1016/j.matdes.2021.109592 ↗
17. Liao, F., Xiaodong, W.U., Wang, Y., Gao, L.: Analysis of influencing factors on wear of truck and bus radial tire. Tire Ind 39(3), 182–186 (2019)
18. Mooney, M.: A theory of large elastic deformation. J. Appl. Phys. 11, 582–592 (1940)10.1063/1.1712836 ↗
19. NHTSA: Traffic deaths decreased in 2018, but still 36,560 people died. https://www.nhtsa.gov/traffic-deaths-decreased-2018-still-36560-people-died (2021)
20. Ogden, R.W.: Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids. Proc. R. Soc. A: Math. 28(1575), 567–583 (1972)10.1098/rspa.1972.0096 ↗
21. 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 Reinf. Plast./Compos. (3), 3–6 (2006)
22. Previati, G., Kaliske, M.: Crack propagation in pneumatic tires: continuum mechanics and fracture mechanics approaches. Int J Fatigue. 37, 69–78 (2012)10.1016/j.ijfatigue.2011.10.002 ↗
23. Qiang, L.: Studies on the simulation and effects of vibration about steel radial tire. MA thesis, Center for Composite Materials of Harbin Institute of Technology, Harbin, China (2014)
24. Qiao, L., Dengfeng, A.N., Wang, G., Zhou, H., University, J., Amp, B.: Study on relationship between vibration noise and grounding parameters of truck and bus radial tire. Tire Ind. 39(8), 55-459 (2019)
25. Sanjeev kumar, R., Vetrivel kumar, K., Ramakrishnan, T.: Design optimization of airless tyre - numerical approach. IOP Confer. Ser.: Mater. Sci. Eng. 1057(1), 012–032 (2021)10.1088/1757-899X/1057/1/012032 ↗
26. Saunders, D., Rivlind, R.S.: Large elastic deformations of isotropic materials. VII. Experiments on the deformation of rubber. Philos. Trans. R. Soc. Lond. Ser. A, Math. Phys. Sci. 243, 251–288 (1951)10.1098/rsta.1951.0004 ↗
27. Schoeftner, J.: An accurate and refined beam model fulfilling the shear and the normal stress traction condition. Int. J. Solids Struct. (2022). https://doi.org/10.1016/j.ijsolstr.2022.11153510.1016/j.ijsolstr.2022.111535 ↗
28. Wang, G.: Structural design of radial tire based on non-balanced outline theory. J. Mech. Eng. 48, 112 (2012)10.3901/JME.2012.24.112 ↗
29. Wang, G., Wang, W., Liang, C., Cao, L.: Fatigue life prediction of radial tire bead using a maximum strain energy density range method. Appl. Sci. 11, 5477 (2021)10.3390/app11125477 ↗
30. Yang, X., Olatunbosun, O.A.: Optimization of reinforcement turn-up effect on tyre durability and operating characteristics for racing tyre design. Mater. Des. 35, 798–809 (2012)10.1016/j.matdes.2011.06.014 ↗
31. Yeoh, O.H.: Characterization of elastic properties of carbon-black-filled rubber vulcanizates. Rubber Chem. Technol. 63, 792–805 (2012a)10.5254/1.3538289 ↗
32. Yeoh, O.H.: Some forms of the strain energy function for rubber. Rubber Chem. Technol. 66, 754–771 (2012b)10.5254/1.3538343 ↗
33. Zhang, N., Lin, J.Y., Liu, X.Y., Xing, L.J., Hao, Y.H.: Finite element analysis on bead crack in radial tire. J. Highw. Transp. Res. Dev. 36(04), 144–150 (2019)
34. Zhao, J., Zhang, J., Wang, B.: A learning-based approach for solving shear stress vector distribution from shear-sensitive liquid crystal coating images. Chin. J. Aeronaut. 35, 55–65 (2022). https://doi.org/10.1016/j.cja.2021.04.01910.1016/j.cja.2021.04.019 ↗
35. Zhuang, H., Wang, J., Gao, Z.: Anisotropic and noncoaxial behavior of soft marine clay under stress path considering the variation of principal stress direction. Int. J. Geomechan. (2022). https://doi.org/10.1061/(ASCE)GM.1943-5622.000239010.1061/(ASCE)GM.1943-5622.0002390 ↗
36. Zhuang, P.-Z., Yu, H.-S.: Two-dimensional elastoplastic analysis of cylindrical cavity problems in Tresca materials. Int. J. Numer. Anal. Methods Geomech. 43, 1612–1633 (2019). https://doi.org/10.1002/nag.292510.1002/nag.2925 ↗