Development of mathematical models to predict the load-carrying capacity of tractor tires on rigid surface
Abstract
Objective: The objective of this study was to develop the load-carrying capacity models of tractor tires on the rigid surface for both, radial and bias tires.
Material and Methods: In order to develop functions, two tire constructional variables (section width and overall diameter), inflation pressure, and forward speed for the load-carrying capacity model were considered. The models developed in the literature for the load-carrying capacity of tires on rigid and soil surfaces were built on some limited data and as a result of this, the predominant variable and contribution of other variables still remain unknown. This study has the widest range of tractor tire sizes (width and diameter). The load-carrying capacity models developed in this study were verified with the theoretical models and experimental measurement values in the literature.
Results: As a result of the study, it was found that the appropriate mathematical models were in non-linear (power) form and the coefficient of determination of the models was greater than 0.95.
Conclusion: The models were verified against published data in the literature and found that the predictions from the models are in good agreement with the measured values.
Keywords
Bias tires, inflation pressure, modelling, model selection, radial tires, tire width
References
- Demir, V., H. Yürdem, A. Yazgı & T. Günhan, 2022. Mikro jet yağmurlama sulama başlığında akış özelliklerinin hesaplamalı akışkanlar dinamiği ile incelenmesi. Ege Univ. Ziraat Fak. Derg., 59 (1): 93-105, https: //doi.org/10.20289/zfdergi.929494
- Diserens, E., P. De´fossez, A. Duboisset & A. Alaoui, 2011. Prediction of the contact area of agricultural traction tires on firm soil. Biosystems Engineering, 110 (2): 73-82. https: //doi. org/ 10.1016/j.biosystemseng.2011.06.008.
- Ertekin, C. & O. Yaldız, 2000. Comparison of some existing models for estimating global solar radiation for Antalya (Turkey). Energy Conversion & Management 41: 311-330.
- Grubaugh, E. K. & D. T. Valco, 1982. Controlling Tractor Wheel Slip for Efficient Operation. Texas Agricultural Extension Service. (Web page: https://oaktrust.library.tamu.edu/handle/1969.1/173008) (Date accessed: September 2022)
- Karayel, D., Z. B. Barut & A. Ozmerzi, 2004. Mathematical Modelling of Vacuum Pressure on a Precision Seeder. Biosystems Engineering, 87 (4): 437-444. https: //doi.org/10.1016/ j. biosystemseng.2004.01.011.
- Minitab®19, 2020. User Manual, Getting started with Minitab 19 for Windows, www.minitab.com, (V19; Free Trial Version).
- Perdok, U.D. & W.B.M. Arts, 1987. The performance of agricultural tyres in soft soil conditions. Soil Tillage Research, 10 (4): 319-330. https: //doi.org/10.1016/0167-1987(87)90021-3.
- Shing-Hong, L., Z. Yang, K. Pan, X. Zhu & W. Chen, 2022. Estimation of Left Ventricular Ejection Fraction Using Cardiovascular Hemodynamic Parameters and Pulse Morphological Characteristics with Machine Learning Algorithms. Nutrients, 14: 4051. https: //doi.org/10.3390/nu14194051.
- Taskin, O., A. Polat, A.B. Etemoglu & N. Izli, 2021 Energy and exergy analysis, drying kinetics, modeling, microstructure and thermal properties of convective-dried banana slices. Journal of Thermal Analysis and Calorimetry, 147: 2343-2351. https: //doi.org/10.1007/s10973-021-10639-z.
- Thota, S.S., B. Rao & S. Murugan, 2021. Solar drying of medicinal herbs: A review. Solar Energy, 223: 415-436. https: //doi.org/10.1016/j.solener.2021.05.065.