Proper Radial Spokes of Non-Pneumatic Tire for Vertical Load Supporting by Finite Element Analysis
This research aimed to develop the 3D finite element model of non-pneumatic tire (NPT) for designing the proper radial spoke. The NPT was cut using waterjet cutting technique to prepare the appropriate test specimens. The hyperelastic constitutive models were used to model the deformation behavior o...
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| Published in | International journal of automotive technology Vol. 20; no. 4; pp. 801 - 812 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Seoul
The Korean Society of Automotive Engineers
01.08.2019
Springer Nature B.V 한국자동차공학회 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1229-9138 1976-3832 |
| DOI | 10.1007/s12239-019-0075-y |
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| Abstract | This research aimed to develop the 3D finite element model of non-pneumatic tire (NPT) for designing the proper radial spoke. The NPT was cut using waterjet cutting technique to prepare the appropriate test specimens. The hyperelastic constitutive models were used to model the deformation behavior of these NPT components. The rebar elements were used to model steel belt layers of the non-pneumatic tire, while the tying equation was used to tie the degree of freedom between belt layers and rubber elements. The NPT model was assigned to contact the rigid surface at the load of 14, 16, 18, 20 and 22 kN. The deformation analysis result of NPT model was compared with the physical experiment which obtained the average error of 9.29 %. The vertical stiffness of the NPT model was 810.66 N/mm; therefore the error was 6.81 % when it was compared to the experimental result. The validated NPT model was then used to search for the proper spoke thickness. The spoke thickness of 5 mm was found to be the proper thickness which given the identical vertical stiffness as the pneumatic tire. |
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| AbstractList | This research aimed to develop the 3D finite element model of non-pneumatic tire (NPT) for designing the proper radial spoke. The NPT was cut using waterjet cutting technique to prepare the appropriate test specimens. The hyperelastic constitutive models were used to model the deformation behavior of these NPT components. The rebar elements were used to model steel belt layers of the non-pneumatic tire, while the tying equation was used to tie the degree of freedom between belt layers and rubber elements. The NPT model was assigned to contact the rigid surface at the load of 14, 16, 18, 20 and 22 kN. The deformation analysis result of NPT model was compared with the physical experiment which obtained the average error of 9.29 %. The vertical stiffness of the NPT model was 810.66 N/mm; therefore the error was 6.81 % when it was compared to the experimental result. The validated NPT model was then used to search for the proper spoke thickness. The spoke thickness of 5 mm was found to be the proper thickness which given the identical vertical stiffness as the pneumatic tire. This research aimed to develop the 3D finite element model of non-pneumatic tire (NPT) for designing the proper radial spoke. The NPT was cut using waterjet cutting technique to prepare the appropriate test specimens. The hyperelastic constitutive models were used to model the deformation behavior of these NPT components. The rebar elements were used to model steel belt layers of the non-pneumatic tire, while the tying equation was used to tie the degree of freedom between belt layers and rubber elements. The NPT model was assigned to contact the rigid surface at the load of 14, 16, 18, 20 and 22 kN. The deformation analysis result of NPT model was compared with the physical experiment which obtained the average error of 9.29 %. The vertical stiffness of the NPT model was 810.66 N/mm; therefore the error was 6.81 % when it was compared to the experimental result. The validated NPT model was then used to search for the proper spoke thickness. The spoke thickness of 5 mm was found to be the proper thickness which given the identical vertical stiffness as the pneumatic tire. KCI Citation Count: 27 |
| Author | Suvanjumrat, Chakrit Rugsaj, Ravivat |
| Author_xml | – sequence: 1 givenname: Ravivat surname: Rugsaj fullname: Rugsaj, Ravivat organization: Department of Mechanical Engineering, Faculty of Engineering, Mahidol University, Laboratory of Computer Mechanics for Design (LCMD), Department of Mechanical Engineering, Faculty of Engineering, Mahidol University – sequence: 2 givenname: Chakrit surname: Suvanjumrat fullname: Suvanjumrat, Chakrit email: chakrit.suv@mahidol.ac.th organization: Department of Mechanical Engineering, Faculty of Engineering, Mahidol University, Laboratory of Computer Mechanics for Design (LCMD), Department of Mechanical Engineering, Faculty of Engineering, Mahidol University |
| BackLink | https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART002490563$$DAccess content in National Research Foundation of Korea (NRF) |
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| Cites_doi | 10.2346/tire.13.410303 10.2346/1.2345642 10.1016/j.ijsolstr.2012.03.007 10.1504/IJVD.2014.064567 10.1016/j.compstruct.2011.12.022 10.1016/j.matdes.2016.12.067 10.1016/j.compstruct.2017.12.044 10.1016/0168-874X(93)90075-2 10.4271/2015-01-1515 10.1080/0305215X.2011.569546 |
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| Keywords | Finite element method Non-pneumatic tire Vertical stiffness testing Hyperelastic |
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| References | JuJKimD-MKimKFlexible cellular solid spokes of a non-pneumatic tireComposite Structures20129482285229510.1016/j.compstruct.2011.12.022 BatheK JFinite Element Procedures1997London, UKPrentice Hall1326.65002 MSC. Software Corporation (2010). Marc 2010 Volume A: Theory and User Information. User Guide. VeeramurthyMJuJThompsonL LSummersJ DOptimisation of geometry and material properties of a non-pneumatic tyre for reducing rolling resistanceInt. J. Vehicle Design201466219321610.1504/IJVD.2014.064567 Rhyne, T. B., Cron, S. M. and Pompier, J. P. (2006). Compliant Wheel. Patent No. US7013939. KumarNRaoV VHyperelastic mooney-rivlin model: Determination and physical interpretation of material constantsMIT Int. J. Mechanical Engineering2016614346 IngroleAHaoALiangRDesign and modeling of auxetic and hybrid honeycomb structures for in-plane property enhancementMaterials & Design2017117728310.1016/j.matdes.2016.12.067 Kim, K., Heo, H., Uddin, M. S., Ju, J. and Kim, D.-M. (2015). Optimization of nonpneumatic tire with hexagonal lattice spokes for reducing rolling resistance. SAE Paper No. 2015-01-1515. JuJVeeramurthyMSummersJ DThompsonLRolling resistance of a nonpneumatic tire having a porous elastomer composite shear bandTire Science and Technology2013413154173 GentA NWatlerJ DThe Pneumatic Tire2006Washington DC, USANational Highway Traffic Safety Administration JinXHouCFanXSunYLuJLuCInvestigation on the static and dynamic behaviors of non-pneumatic tires with honeycomb spokesComposite Structures2018187273510.1016/j.compstruct.2017.12.044 GasmiAJosephP FRhyneT BCronS MDevelopment of a two-dimensional model of a compliant non-pneumatic tireInt. J. Solids and Structures201249131723174010.1016/j.ijsolstr.2012.03.007 JangI GSungY HYooE JKwakB MPattern design of a non-pneumatic tyre for stiffness using topology optimizationEngineering Optimization201244211913110.1080/0305215X.2011.569546 RhyneT BCronS MDevelopment of a non-pneumatic wheelTire Science and Technology200634315016910.2346/1.2345642 HelnweinPLiuC HMeschkeGMangH AA new 3-D finite element model for cord-reinforced rubber composites — Applications to analysis of automobile tiresFinite Elements in Analysis and Design199314111610.1016/0168-874X(93)90075-20800.73009 P Helnwein (75_CR4) 1993; 14 A Gasmi (75_CR2) 2012; 49 J Ju (75_CR8) 2012; 94 A N Gent (75_CR3) 2006 J Ju (75_CR9) 2013; 41 75_CR10 T B Rhyne (75_CR13) 2006; 34 75_CR12 75_CR14 A Ingrole (75_CR5) 2017; 117 M Veeramurthy (75_CR15) 2014; 66 I G Jang (75_CR6) 2012; 44 N Kumar (75_CR11) 2016; 6 X Jin (75_CR7) 2018; 187 K J Bathe (75_CR1) 1997 |
| References_xml | – reference: GasmiAJosephP FRhyneT BCronS MDevelopment of a two-dimensional model of a compliant non-pneumatic tireInt. J. Solids and Structures201249131723174010.1016/j.ijsolstr.2012.03.007 – reference: JangI GSungY HYooE JKwakB MPattern design of a non-pneumatic tyre for stiffness using topology optimizationEngineering Optimization201244211913110.1080/0305215X.2011.569546 – reference: JuJVeeramurthyMSummersJ DThompsonLRolling resistance of a nonpneumatic tire having a porous elastomer composite shear bandTire Science and Technology2013413154173 – reference: Rhyne, T. B., Cron, S. M. and Pompier, J. P. (2006). Compliant Wheel. Patent No. US7013939. – reference: RhyneT BCronS MDevelopment of a non-pneumatic wheelTire Science and Technology200634315016910.2346/1.2345642 – reference: BatheK JFinite Element Procedures1997London, UKPrentice Hall1326.65002 – reference: JinXHouCFanXSunYLuJLuCInvestigation on the static and dynamic behaviors of non-pneumatic tires with honeycomb spokesComposite Structures2018187273510.1016/j.compstruct.2017.12.044 – reference: MSC. Software Corporation (2010). Marc 2010 Volume A: Theory and User Information. User Guide. – reference: VeeramurthyMJuJThompsonL LSummersJ DOptimisation of geometry and material properties of a non-pneumatic tyre for reducing rolling resistanceInt. J. Vehicle Design201466219321610.1504/IJVD.2014.064567 – reference: JuJKimD-MKimKFlexible cellular solid spokes of a non-pneumatic tireComposite Structures20129482285229510.1016/j.compstruct.2011.12.022 – reference: KumarNRaoV VHyperelastic mooney-rivlin model: Determination and physical interpretation of material constantsMIT Int. J. Mechanical Engineering2016614346 – reference: GentA NWatlerJ DThe Pneumatic Tire2006Washington DC, USANational Highway Traffic Safety Administration – reference: Kim, K., Heo, H., Uddin, M. S., Ju, J. and Kim, D.-M. (2015). Optimization of nonpneumatic tire with hexagonal lattice spokes for reducing rolling resistance. SAE Paper No. 2015-01-1515. – reference: HelnweinPLiuC HMeschkeGMangH AA new 3-D finite element model for cord-reinforced rubber composites — Applications to analysis of automobile tiresFinite Elements in Analysis and Design199314111610.1016/0168-874X(93)90075-20800.73009 – reference: IngroleAHaoALiangRDesign and modeling of auxetic and hybrid honeycomb structures for in-plane property enhancementMaterials & Design2017117728310.1016/j.matdes.2016.12.067 – ident: 75_CR14 – volume: 6 start-page: 43 issue: 1 year: 2016 ident: 75_CR11 publication-title: MIT Int. J. Mechanical Engineering – ident: 75_CR12 – volume: 41 start-page: 154 issue: 3 year: 2013 ident: 75_CR9 publication-title: Tire Science and Technology doi: 10.2346/tire.13.410303 – volume: 34 start-page: 150 issue: 3 year: 2006 ident: 75_CR13 publication-title: Tire Science and Technology doi: 10.2346/1.2345642 – volume-title: The Pneumatic Tire year: 2006 ident: 75_CR3 – volume: 49 start-page: 1723 issue: 13 year: 2012 ident: 75_CR2 publication-title: Int. J. Solids and Structures doi: 10.1016/j.ijsolstr.2012.03.007 – volume: 66 start-page: 193 issue: 2 year: 2014 ident: 75_CR15 publication-title: Int. J. Vehicle Design doi: 10.1504/IJVD.2014.064567 – volume: 94 start-page: 2285 issue: 8 year: 2012 ident: 75_CR8 publication-title: Composite Structures doi: 10.1016/j.compstruct.2011.12.022 – volume: 117 start-page: 72 year: 2017 ident: 75_CR5 publication-title: Materials & Design doi: 10.1016/j.matdes.2016.12.067 – volume: 187 start-page: 27 year: 2018 ident: 75_CR7 publication-title: Composite Structures doi: 10.1016/j.compstruct.2017.12.044 – volume: 14 start-page: 1 issue: 1 year: 1993 ident: 75_CR4 publication-title: Finite Elements in Analysis and Design doi: 10.1016/0168-874X(93)90075-2 – volume-title: Finite Element Procedures year: 1997 ident: 75_CR1 – ident: 75_CR10 doi: 10.4271/2015-01-1515 – volume: 44 start-page: 119 issue: 2 year: 2012 ident: 75_CR6 publication-title: Engineering Optimization doi: 10.1080/0305215X.2011.569546 |
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| Title | Proper Radial Spokes of Non-Pneumatic Tire for Vertical Load Supporting by Finite Element Analysis |
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