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MCAMathematical and Computational Applications
  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 December 2004

Modeling the Torque and Power Requirements of Traction Tires of Horticultural Tractors using Dimensional Analysis

and
1
Department of Agricultural Machinery, Faculty of Agriculture, Gaziosmanpaşa University, 60240, Tokat, Turkey
2
Department of Agricultural Machinery, Faculty of Agriculture, Selçuk University, 42031, Konya, Turkey
*
Authors to whom correspondence should be addressed.

Abstract

The development of computational tools will promote the design and use of more energy-efficient tires. Two mathematical equations were developed by dimensional analysis to predict the torque and power requirements at zero net traction for traction fires (6.5-12; 7.00-18) on a hard surface. Some structural and working parameters of fire that affect the torque requirement, such as tire size, tire deflection, tire load, and rolling radius, were considered for the analysis. Experiments were conducted to study the effect of different wheel sizes and system parameters on torque and energy consumed per unit distance traveled in a soil bin. The ratio of tire width over fire diameter and the ratio of tire deflection over tire section height were found to be dimensionless terms radically controlling the torque and energy requirements of tires. The prediction equation closely followed the experimental results.

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