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Research Article

Multi-response optimisation during face milling of polyoxymethylene copolymer using grey relational analysis and data envelopment analysis based ranking coupled with the Taguchi approach

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Accepted 29 Jan 2024, Published online: 10 Feb 2024
 

ABSTRACT

The present work aims to evaluate the effect of cutting factors, namely cutting speed (Vc), feed per tooth (fz), and depth of cut (ap) on surface quality (average arithmetic roughness Ra and total roughness Rt) and productivity (material removal rate MRR) when face milling polyoxymethylene (POM C). In this context, the experiments were planned according to the standard orthogonal network of Taguchi L16 (4^3). An analysis of variance (ANOVA) was performed to study the influence of each input factor on the output parameters. The processing of the results made it possible to propose prediction models for the surface. Finally, a mono and multi-objective optimisation was performed using the grey relational analysis (GRA) approach and ranking based on data envelopment analysis (DEAR) coupled with the Taguchi method based on the signal-to-noise ratio (S/N). ANOVA results revealed that feed per tooth (fz) has the greatest influence on (Ra, Rt, and MRR), with successive contributions of (97.69, 97.05, and 66.26)%. On the other hand, GRA and DEAR resulted in the same cutting regime (Vc = 251.2 m/min, fz = 0.004 mm/tooth, and ap = 6 mm), leading to optimised responses (Ra = 1.67 µm and MRR = 11.51 cm3/min).

Abbreviations

POM C=

Polyoxymethylene copolymer

PTFE=

Polytetrafluoroethylene

UHMWPE=

Ultra-high-molecular-weight polyethylene

GFRP=

Glass fiber reinforced polymer

GRA=

Grey relational analysis

DEAR=

Data envelopment analysis based ranking

RSM=

Response Surface Methodology

ANOVA=

Analysis of variance

DoF=

Degree of Freedom

Seq-SS=

Sequential Sum of Squares

Adj-SS=

Adjusted Sum of Squares

Adj-MS=

Adjusted Main of Squares

S/N=

Signal-to-noise ratio

ANN=

Artificial neural network

WEDM=

Wire electrical discharge machining

MQL=

Minimum quantity lubrication

Vc=

Cutting speed

fz=

Feed per tooth

ap=

Axial depth of cut

Ra=

Average arithmetic roughness

Rt=

Total roughness

MRR=

Material removal rate

MCDM=

Multi-criteria decision making

GRG=

Grey relational grade

MRPI=

Multi-performance ranking index

Acknowledgements

The authors express their gratitude to LRTAPM of Badji Mokhtar University - Annaba, Algeria and LMS of 8 May 1945 University - Guelma, Algeria, for providing their equipment and facilities to carry out this research work. The authors would like to acknowledge DGRSDT, Algeria, for their support and help.

Disclosure statement

The authors declare that they have no known competing personal or financial interests that could have appeared to influence the work reported in this paper.

Availability of data and material

The authors affirm that the data supporting the results of this study and the used equipment are available within the article.

Consent for publication

The authors give their consent for the publication of identifiable details, which can include reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature to be published in the journal and article.

Additional information

Funding

This research did not receive any particular award from financing offices in the public, business, or not-revenue driven areas.

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