Vol.:(0123456789) 1 3
Progress in Additive Manufacturing
https://doi.org/10.1007/s40964-018-00072-4
FULL RESEARCH ARTICLE
PCA-based desirability method for dimensional improvement of part
extruded by fused deposition modelling technology
Azhar Equbal
1
· Md. Israr Equbal
2
· Anoop Kumar Sood
3
Received: 12 July 2018 / Accepted: 18 December 2018
© Springer Nature Switzerland AG 2019
Abstract
Fused deposition modelling (FDM) is an extrusion-based additive manufacturing technique that has the ability to build
complicated geometry of parts in least possible time without any tooling problem. Extrusion-based methods ofer various
advantages but the part quality of fabricated part is poorer when measured in terms of dimensional accuracy. Quality of its
fabricated part primarily depends on processing parameters like raster angle, air gap, layer thickness, etc. For improving
the part accuracy, present work is aimed at optimization of FDM processing parameters. Response surface methodology-
based face-centered central composite design is used for designing the experimental matrix and also to reduce the number
of experimental runs. Analysis of variance is used to study the efects of processing parameters on responses. Empirical
model relating the parameters and responses is also developed. The suitability of developed model is tested using Ander-
son–darling normality test. Dimensional measurement shows that measured dimensions of fabricated part are always more
than CAD model. Restriction of shrinkage during part fabrication causes oversize dimension of part. Besides, chosen pro-
cessing parameters is the major reason for dimensional inaccuracy of the fabricated part. Weighted principal component
analysis (WPCA)-based desirability function method is used as a hybrid approach to fnd the optimal parameter setting for
part fabrication with minimum overall deviations in dimension. Optimization process suggests that part fabrication should
be done at 30° raster angle, − 0.004 mm air gap and 0.4064 mm raster width for minimal relative changes in length (∆L),
width (∆W) and thickness (∆T).
Keywords FDM · Face centered · Central composite design · Analysis of variance · Raster angle · Air gap
1 Introduction
Fused deposition modelling (FDM) by Stratysys is one of
the fastest growing extrusion-based additive manufacturing
processes to fabricate parts of any complex geometry in
least possible time directly from the part digital informa-
tion. It does not require any part-specifc tooling and also no
process planning is required [1–3]. The part materials used
for fabrication are thermoplastics like ABS (acrylonitrile-
butadiene- styrene), PC (polycarbonate) and PC-ABS, etc.
Extruded parts have great thermal and chemical resistance
properties and also have excellent strength-to-weight ratio.
The diverse areas of application include automobiles (noz-
zles, gearbox), medical (surgery), investment casting, rapid
tooling, etc. [3]. Part fabrication is done in a number of
steps. First, a 3D CAD model of the part is generated using
any solid modelling software like CATIA, Pro-E, etc. CAD
models in their native format are converted to machine-
acceptable format, which commonly is stereolithography
* Azhar Equbal
azhr_eqbl06@yahoo.co.in; azhreqbl09@gmail.com
Md. Israr Equbal
israr_equbal@yahoo.co.in
Anoop Kumar Sood
anoopkumarsood@gmail.com
1
Department of Mechanical Engineering, RTC Institute
of Technology, Ormanjhi, Ranchi 835219, India
2
Department of Mechanical Engineering, JB
Institute of Engineering and Technology, Moinabad,
Hyderabad 500075, India
3
Department of Manufacturing Engineering, National Institute
of Foundry and Forge Technology, Hatia, Ranchi 834003,
India