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A statistical approach known as response surface methodology is used to investigate the effect of five independent variables on three responses in a vibratory finishing process. Brinell hardness, projection width, processing time, media size and vibratory frequencies are investigated with respect to workpiece projection height reduction, edge radiusing, and surface finish reduction. Important aspects of the experimental design and analysis are discussed and the significance of the independent variables established. Linear programming is used to determine the optimum levels of the developed models. The optimizing technique is presented and illustrated with a numerical example.
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