Abstract

The aim of this study was to develop an efficient and realistic response surface optimization technique for the design of V-belt drive for optimum power output of the drive in machinery design. Optimization mathematical model of the V-belt drive was constructed. The power output of the belt drive was modeled and optimized by the Response Surface Methodology (RSM). Analysis of variance was used to evaluate the extent of influence of each independent variables on the power output response of the belt drive. A RSM optimization process was proposed to calculate optimal power output for V-belt drive given a set of pulley diameter for the drive employed in a tilling machine. The analysis showed that optimum power output of the drive for workshop light operation machinery could be obtained at driving and driven pulley radius range of 550 - 900 mm and 250 - 500 mm. An optimum power output of 1418.76 kW was obtained at driving and driven pulley radius of 846 and 486 mm respectively for a farm tilling machine.

Highlights

  • The V-belt drive system is usually designed for specific function and operating conditions in machinery [1]

  • Response surface methodology usually aim at determining the optimum settings for the variables and to see how the variables perform over the whole experimental domain, including any interactions such as the simultaneous influence of the deriving and driven pulley parameters on the power output of the V-belt drive system

  • The Response Surface Methodology (RSM) capable of developing model fits for the data was used to develop the model describing the relationship of the power output on the combined influence of the driving and driven pulley radii

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Summary

Introduction

The V-belt drive system is usually designed for specific function and operating conditions in machinery [1] It is used for the transmission of power in many engineering applications from a driver pulley to the driven pulley. The model is able to predict the power transmission output for the belt by incorporating the macro influence of the belt slip during operation. The relation between the belt-drive parameters and the speed loss was obtained using response surface methodology and the optimum operating conditions were determined using the design optimization procedure. The present study tends to use the RSM approach for the optimization of the output power transmission of a V-belt drive considering the various constraint associated with the effective performance of the drive

Problem Formulation
Design Variables
Objective Function Formulation
Formulation of the Constraints
Optimization
Results and Discussion
Analysis of Variance
A: Driving Pulley Radius
Conclusion
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