Abstract
The Primitive-type triply periodic minimal surface (P-TPMS) cell is applied in the design to improve the compressive behavior of airless tire spokes. In this study, the deformed shape and force–displacement response of spokes with cylindrically designed P-TPMS cells are comprehensively investigated under vertical compression through both numerical and experimental analyses. The new design is compared with conventional spokes utilizing columns, honeycomb, and re-entrant cells. One of the most valuable findings of this research is that spokes with columns, honeycomb, and re-entrant cells exhibit behavior typical of lattice structures, characterized by linear, plateau, and densification regions in their force–displacement curves. However, spokes with P-TPMS cells shows nearly linear behavior in the significant strain range up to 60.8%. In this study, it is experimentally demonstrated that the designed P-TPMS spoke is superior to the conventional ones through the close correlation between the deformed shape and the force–displacement response in terms of stiffness and stability under compressive and shear loads.
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References
Pentakota, L. K., Albertelli, P., & Strano, M. (2023). Energy efficiency of the vulcanization process of a bicycle tyre. International Journal of Precision Engineering and Manufacturing-Green Technology. https://doi.org/10.1007/s40684-023-00507-6
Alkadi, F., Lee, J., Yeo, J. S., Hwang, S. H., & Choi, J. W. (2019). 3D printing of ground tire rubber composites. International Journal of Precision Engineering and Manufacturing-Green Technology, 6, 211–222. https://doi.org/10.1007/s40684-019-00023-6
Park, H. (2017). Vibratory electromagnetic induction energy harvester on wheel surface of mobile sources. International Journal of Precision Engineering and Manufacturing-Green Technology, 4, 59–66. https://doi.org/10.1007/s40684-017-0008-z
Moon, B., Lee, J., Kim, S., Park, S., & Seok, C. S. (2022). Methodology for predicting the durability of aged tire sidewall under actual driving conditions. International Journal of Precision Engineering and Manufacturing, 23(8), 881–893. https://doi.org/10.1007/s12541-022-00644-z
Jafferson, J. M., & Sharma, H. (2021). Design of 3D printable airless tyres using NTopology. Materials Today: Proceedings, 46, 1147–1160. https://doi.org/10.1016/j.matpr.2021.02.058
Genovese, A., Garofano, D., Sakhnevych, A., Timpone, F., & Farroni, F. (2021). Static and dynamic analysis of non-pneumatic tires based on experimental and numerical methods. Applied Sciences, 11(23), 11232. https://doi.org/10.3390/app112311232
Sardinha, M., Fátima Vaz, M., Ramos, T. R., & Reis, L. (2023). Design, properties, and applications of non-pneumatic tires: A review. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. https://doi.org/10.1177/14644207231177302
Hryciów, Z., Jackowski, J., & Żmuda, M. (2020). The influence of non-pneumatic tyre structure on its operational properties. International Journal of automotive and Mechanical Engineering, 17(3), 8168–8178. https://doi.org/10.15282/ijame.17.3.2020.10.0614
Rugsaj, R., & Suvanjumrat, C. (2019). Proper radial spokes of non-pneumatic tire for vertical load supporting by finite element analysis. International Journal of Automotive Technology, 20, 801–812. https://doi.org/10.1007/s12239-019-0075-y
Veeramurthy, M., Ju, J., Thompson, L. L., & Summers, J. D. (2014). Optimisation of geometry and material properties of a non-pneumatic tyre for reducing rolling resistance. International Journal of Vehicle Design, 66(2), 193–216. https://doi.org/10.1504/IJVD.2014.064567
Aboul-Yazid, A. M., Emam, M. A. A., Shaaban, S., & El-Nashar, M. A. (2015). Effect of spokes structures on characteristics performance of non-pneumatic tires. International Journal of Automotive & Mechanical Engineering. https://doi.org/10.15282/ijame.11.2015.4.0185
Kucewicz, M., Baranowski, P., & Małachowski, J. (2017). Airless tire conceptions modeling and simulations. In Proceedings of the 13th international scientific conference. https://doi.org/10.1007/978-3-319-50938-9_30
Mathew, N. J., Sahoo, D. K., & Chakravarthy, E. M. (2017). Design and static analysis of airless tyre to reduce deformation. IOP Conference Series: Materials Science and Engineering, 197(1), 012042. https://doi.org/10.1088/1757-899X/197/1/012042
Vinay, T., Marattukalam, K. J., Varghese, S. Z., Samuel, S., & Sreekumar, S. (2015). Modeling and analysis of non-pneumatic tyres with hexagonal honeycomb spokes. International Journal on Recent Technologies in Mechanical and Electrical Engineering, 2, 19–24.
Jin, X., Hou, C., Fan, X., Sun, Y., Lv, J., & Lu, C. (2018). Investigation on the static and dynamic behaviors of non-pneumatic tires with honeycomb spokes. Composite Structures, 187, 27–35. https://doi.org/10.1016/j.compstruct.2017.12.044
Ju, J., Kim, D. M., & Kim, K. (2012). Flexible cellular solid spokes of a non-pneumatic tire. Composite Structures, 94(8), 2285–2295. https://doi.org/10.1016/j.compstruct.2011.12.022
Yoo, S., Uddin, M. S., Heo, H., Ju, J., & Choi, S. J. (2017). Thermoviscoelastic modeling of a nonpneumatic tire with a lattice spoke. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 231(2), 241–252. https://doi.org/10.1177/0954407016656287
Zhao, Y., Du, X., Lin, F., Wang, Q., & Fu, H. (2018). Static stiffness characteristics of a new non-pneumatic tire with different hinge structure and distribution. Journal of Mechanical Science and Technology, 32, 3057–3064. https://doi.org/10.1007/s12206-018-0608-8
Zhang, Z., Fu, H., Zhao, Q., Tan, D., & Yang, K. (2021). Pattern design and performance analysis of a flexible spoke bionic non-pneumatic tire. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 43, 1–11. https://doi.org/10.1007/s40430-020-02743-2
Liu, B., & Xu, X. (2022). Mechanical behavior and mechanism investigation on the optimized and novel bio-inspired nonpneumatic composite tires. Reviews on Advanced Materials Science, 61(1), 250–264. https://doi.org/10.1515/rams-2022-0002
Wu, T., Li, M., Zhu, X., & Lu, X. (2021). Research on non-pneumatic tire with gradient anti-tetrachiral structures. Mechanics of advanced materials and structures, 28(22), 2351–2359. https://doi.org/10.1080/15376494.2020.1734888
Feng, J., Fu, J., Yao, X., & He, Y. (2022). Triply periodic minimal surface (TPMS) porous structures: From multi-scale design, precise additive manufacturing to multidisciplinary applications. International Journal of Extreme Manufacturing, 4(2), 022001. https://doi.org/10.1088/2631-7990/ac5be6
Yoo, D. J. (2015). New paradigms in cellular material design and fabrication. International Journal of Precision Engineering and Manufacturing, 16, 2577–2589. https://doi.org/10.1007/s12541-015-0330-8
Zhang, L., Feih, S., Daynes, S., Chang, S., Wang, M. Y., Wei, J., & Lu, W. F. (2018). Energy absorption characteristics of metallic triply periodic minimal surface sheet structures under compressive loading. Additive Manufacturing, 23, 505–515. https://doi.org/10.1016/j.addma.2018.08.007
Qureshi, Z. A., Elnajjar, E., Al-Ketan, O., Al-Rub, R. A., & Al-Omari, S. B. (2021). Heat transfer performance of a finned metal foam-phase change material (FMF-PCM) system incorporating triply periodic minimal surfaces (TPMS). International Journal of Heat and Mass Transfer, 170, 121001. https://doi.org/10.1016/j.ijheatmasstransfer.2021.121001
Yang, W., An, J., Chua, C. K., & Zhou, K. (2020). Acoustic absorptions of multifunctional polymeric cellular structures based on triply periodic minimal surfaces fabricated by stereolithography. Virtual and Physical Prototyping, 15(2), 242–249. https://doi.org/10.1080/17452759.2020.1740747
Kim, M., & Choi, J. W. (2021). Rubber ink formulations with high solid content for direct-ink write process. Additive Manufacturing, 44, 102023. https://doi.org/10.1016/j.addma.2021.102023
Jackowski, J., Wieczorek, M., & Żmuda, M. (2018). Energy consumption estimation of non-pneumatic tire and pneumatic tire during rolling. Journal of KONES Powertrain and Transport, 25(1), 159–168. https://doi.org/10.5604/01.3001.0012.2463
Zheng, X., Guo, X., & Watanabe, I. (2021). A mathematically defined 3D auxetic metamaterial with tunable mechanical and conduction properties. Materials & Design, 198, 109313. https://doi.org/10.1016/j.matdes.2020.109313
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This research was supported by 2022 BK21 FOUR Program of Pusan National University.
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Kim, HS., Kim, DY., Choi, JW. et al. High Stability in Compressive and Shear Behavior of Airless Tire Using Primitive TPMS-Based Cylindrical Spoke. Int. J. of Precis. Eng. and Manuf.-Green Tech. (2023). https://doi.org/10.1007/s40684-023-00587-4
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DOI: https://doi.org/10.1007/s40684-023-00587-4