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Prediction and Optimization of Spur Gear Pair by Response Surface Method


Affiliations
1 Dept. of Mech. Engg., SIT, Lonavala, Maha., India
2 Dept. of Mech. Engg., SVNIT, Surat, Guj., India
3 Dept. of Mech. Engg., Maha, India
     

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Spur gear design is one of complex and time consuming design procedure. It will be great if it is automated by computer application. We can so reduce human error and make process faster. This paper presents development of mathematical models to predict module, number of teeth of pinion and gear of medium size external spur gear pair of 20 degree full depth teeth. This paper presents unique method to investigate engineering problem, its analysis, mathematical modelling and optimization with the help of RSM-response surface methodology and design of experiments (DOE). In the first part of our project we developed software which will assist in designing spur gear pair. We are taking dimensions as observations generated at the end. The second part constitutes study of relations between variables and development of mathematical models to predict dimensions directly without following design procedure. Finally we worked on optimization of design. Observations obtained from models are in compromising accuracy with actual design observations.
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  • Prediction and Optimization of Spur Gear Pair by Response Surface Method

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Authors

A. G. Kamble
Dept. of Mech. Engg., SIT, Lonavala, Maha., India
R. Venkata Rao
Dept. of Mech. Engg., SVNIT, Surat, Guj., India
A. S. Potdar
Dept. of Mech. Engg., SIT, Lonavala, Maha., India
A. D. Lokhande
Dept. of Mech. Engg., Maha, India

Abstract


Spur gear design is one of complex and time consuming design procedure. It will be great if it is automated by computer application. We can so reduce human error and make process faster. This paper presents development of mathematical models to predict module, number of teeth of pinion and gear of medium size external spur gear pair of 20 degree full depth teeth. This paper presents unique method to investigate engineering problem, its analysis, mathematical modelling and optimization with the help of RSM-response surface methodology and design of experiments (DOE). In the first part of our project we developed software which will assist in designing spur gear pair. We are taking dimensions as observations generated at the end. The second part constitutes study of relations between variables and development of mathematical models to predict dimensions directly without following design procedure. Finally we worked on optimization of design. Observations obtained from models are in compromising accuracy with actual design observations.