Simultaneous optimization of burrs size and surface finish when milling 6061-T6 aluminium alloy

Article
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Abstract

Taguchi-based optimization has been successfully applied in industrial applications. Some of these applications have more than one response to study. Most of reported applications of Taguchi method deal with single objective optimization, while multiple responses optimization has received relatively less attentions. The main objective of this article is to propose new modifications to application of Taguchi method by proposing fitness mapping function (ψ) and Desirability index (Di) for correct selection of process parameters setting levels that can be used for multiple responses optimization. The proposed method is verified by simultaneous minimization of surface roughness and burrs thickness during slot milling of 6061-T6 aluminium alloy. It was found that surface roughness and burrs size can be optimized by selecting appropriate setting levels of process parameters. According to experimental results, feed per tooth has the major influence on variation of burr size and surface roughness, while cutting speed has shown less significant effect as compared to other cutting parameters used.

Keywords

Milling Aluminium alloy Burr size Surface roughness Taguchi method Optimization 

Nomenclature

Yi

Non-identical response

Ri

Maximum value of Yi

n

Number of responses

m

Mean value of of responses

σ

Standard deviation of responses

N

Number of replications

ω

Weighting coefficient

Mp

Mapping function

ψ

Fitness mapping function

MR

Fitness mapping range

M

The maximum value of MR

R

Range of a response

μ

Mapping coefficient

η

Signal to noise ratio (SNR)

ηψ

SNR of fitness mapping function

di

Desirability of each response

Di

Desirability of all transformed responses

κ

Optimization rate

ɛ

Prediction error

t

Weight exponent value

F

F-ratio

P

P-value

DOF

Degree of freedom

MS

Mean of square

SS

Sum of square

Rɛ

Insert nose radius

D

Tool diameter

β

Helix angle

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Copyright information

© Korean Society for Precision Engineering and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringÉcole de Technologie Supérieure (ÉTS)MontréalCanada

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