Adnan Değirmencioğlu, Fırat Kömekçi

Development of Mathematical Functions to Predict Deflection of Radial and Bias Tractor Tires on Rigid Surface

The objective of this study was to develop mathematical functions to predict deflection for radial and bias tires. In order to develop the models, the data were obtained from the tire manufacturing companies and organized in Excel first and then transferred to Minitab® for stepwise regression analysis. The variables considered in the study were inflation pressure, load and tire width and overall diameter. Tire width (w) and overall diameter (d) was considered in a multiplication form. The tire deflection models in two different form (linear and non-linear) were developed for both, radial and bias tires. The model selection was achieved by three different criteria and % differences between the measured and predicted data. Based on the results of applying model selection criteria, the models for radial and bias tire in non-linear form were found to be adequate for predicting the tire deflection. The results from the stepwise analysis indicated that the load on tire was the predominant variable in the models and made the highest contribution to the prediction functions. The developed models were verified against to published literature data and found a good agreement.

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Alibaş İ, Yılmaz A, Günaydın S, Arkain B. 2021. Influence of drying methods on drying kinetics and color parameters. Turkish Journal of Agriculture - Food Science and Technology, 9(5): 897-908. doi: 10.24925/turjaf.v9i5.897- 908.4170
Anonymous. 2018. Titan – OTR Tires. Available from: https://www.titan-intl.com/- /media/Files/OTRDB_Vol8b.ashx [Accessed 28 April 2021]
Bekker MG. 1985. The effect of tire tread in parametric analyses of tire-soil systems. NRCC Report No. 24146, National Research Council of Canada.
Brassart FP, Wright ME. 1993. A machine to study vertical tire stiffness and damping coefficient. 1993. International Off- Highway & Powerplant Congress & Exposition Milwaukee, Wisconsin, September 13-15, 1993.
Diserens E, De ́fossez P, Duboisset A, Alaoui A. 2011. Prediction of the contact area of agricultural traction tires on firm soil. Biosystems Engineering, 110(2): 73-82. doi: 10.1016/j.biosystemseng.2011.06.008
Dwyer MI, Comely DR, Evernden DW. 1974. The field performance of some tractor tyres related to soil mechanical properties. Journal of Agricultural Engineering Research, 19: 35-50. doi: 10.1016/0021-8634(74)90005-5
Guo M., Zhou X. 2019. Tire-pavement contact stress characteristics and critical slip ratio at multiple working conditions. Hindawi Advances in Materials Science and Engineering Volume 2019, Article ID 5178516, 11 pages. doi: 10.1155/2019/5178516
Komandi G. 1976. The determination of the deflection, contact area, dimensions and load carrying capacity for driven pneumatic tires operating on concrete pavement. Journal of Terramechanics, 13(1): 15-20. doi: 10.1016/0022- 4898(76)90028-8
Kouhila M, Moussaoui H, Lamsyehe H, Tagnamas Z, Bahammou Y, Idlimam A, Lamharrar A. 2020. Drying characteristics and kinetics solar drying of Mediterranean mussel (mytilus galloprovincilis) type under forced convection. Renewable Energy, 147(1):883-844 doi: 10.1016/j.renene.2019.09.055
Matthews J, Talamo JDC. 1965. Ride comfort of tractor operators, III. Investigation of tractor dynamics by analog computer simulation. Journal of Agricultural Engineering Research, 12(1): 93-108. doi: 10.1016/0021-8634(65)90057- 0
McKyes E. 1985. Soil Cutting and Tillage. Elsevier, Amsterdam, Netherlands, 217 pp. Minitab®19. User Manual, Getting started with Minitab 19 for Windows, www. minitab.com, (V19; Free Trial Version).
Özdemir MH, Değirmencioğlu A. 2020. Mathematical modelling of the volumetric efficiency for fluted rolls metering different crop seeds. Turkish Journal of Agriculture - Food Science and Technology, 8(11): 2453-2459. doi: 10.24925/turjaf.v8i11.2453-2459.3755
Painter DJ. 1981. A simple deflection model for agricultural tyres. Journal of Agricultural Engineering Research, 26: 9-20. doi: 10.1016/0021-8634(81)90123-2
Phitakwinai S, Thepa S, Nilnont W. 2019. Thin‐layer drying of parchment Arabica coffee by controlling temperature and relative humidity. Food Science and Nutrition. 2019(7):2921–2931. doi: 10.1002/fsn3.1144
Rafiee K, Majid R, Mohammad G, Parham F, Siamak A, Babak J. 2014. Modeling of bias-ply tire deflection based on tire dimensions, inflation pressure, vertical load and rotational speed. American-Eurasian Journal of Agricultural and Environmental Science, 14(8): 763-770. doi: 10.5829/idosi.aejaes.2014.14.08.12395
Ragheb H, El-Gindy M, Kishawy H A. 2013. Multi-wheeled combat vehicle tire modeling on rigid and soft terrain. Proceedings of the 15th ASAT-15 Conference, 28-30 May, 2013
Taylor RK, Bashford LL, Schrock MD. 2000. Methods for measuring vertical tire stiffness. Transactions of the ASAE, 43(6): 1415-1419. doi: 10.13031/2013.3039
Upadhyaya SK, Wulfsohn D. 1990. Relationship between tire deflection characteristics and 2-D tire contact area. Transactions of the ASAE, 33(1): 25-30. doi: 10.13031/2013.31288
Wang H, Imad L, Al-Qadi, Stanciulescu I. 2014. Effect of surface friction on tire–pavement contact stresses during vehicle maneuvering. Journal of Engineering Mechanics, 140(4). doi: 10.1061/(ASCE)EM.1943-7889.0000691
Wong JY. 1978. Theory of Ground Vehicles. John Wiley and Sons, New York, USA.
Wulfsohn D, Upadhyaya SK. 1992. Determination of dynamic three-dimensional soil-tyre contact profile. Journal of Terramechanics. 29(4/5): 433-464. doi: 10.1016/0022- 4898(92)90046-M