International Review of Mechanical Engineering (I.RE.M.E.), Vol. 6, N. 7
ISSN 1970 - 8734 November 2012
Manuscript received and revised October 2012, accepted November 2012 Copyright © 2012 Praise Worthy Prize S.r.l. - All rights reserved
1418
Experimentation and Prediction of Surface Roughness
of the Machining Parameter with Reference
to the Rake Angle in End Mill
G. Mahesh
1
, S. Muthu
2
, S. R. Devadasan
3
Abstract – This paper presents the effect of process parameter in end milling operation to
predict surface roughness. An experiment has been conducted to observe the significance of
process parameters and influence of the radial rake angle of the tool in end mill cutter.
Mathematical model has been developed to predict surface roughness in terms of machining
parameters such as spindle speed, feed rate, radial, axial depth of cut, and rake angle of cutting
tool. The second-order mathematical models, in terms of the machining parameters, have been
developed using Response surface methodology (RSM)by designing five factors, five level central
composite rotatable design matrixes with full replication. The experiment is conducted on
aluminum Al 6063 by HSS end mill cutter, the surface roughness is measured by using Surftest SJ-
201.The direct and interaction effects of the machining parameter with surface roughness are
analyzed using design expert software. It is found that spindle speed and radial rake angle are
major factors influencing the surface roughness followed by radial depth of cut, feed rate and
axial depth of cut. The developed mathematical model is verified by confirmatory test and found to
be acceptable for the prediction of surface roughness. Copyright © 2012 Praise Worthy Prize
S.r.l. - All rights reserved.
Keywords: Radial Rake Angle, Surface Roughness, RSM, DoE, Vertical Milling Machine
Nomenclature
N Spindle speed in m/min
Z Feed rate per tooth in mm/rev
X Axial depth of cut in mm
Y Radial depth of cut in mm
γ Radial Rake angle in degree
RSM Response Surface Methodology
Al-SiC Aluminum silicon carbide particulate
composite
MMX Metal matrix
DOE Design of Experiments
Ra Surface roughness
I. Introduction
In machining operations surface quality is one of the
most pertinent aspects as it is employed as the final stage
in the production cycle for improving the surface finish,
dimensional and geometrical properties of the product
[1]-[36]. Surface roughness is the most important
parameter which determines the quality of the product.
The surface quality of the orthopedic prostheses is a
parameter influencing in their life time [10].
Surface roughness is primarily dependent on
production process [30]. Surface roughness is expressed
as the irregularities of material resulted from various
machining operations.
Average surface roughness (Ra) is the arithmetic
average value of departure of the profile from the mean
line throughout the sampling length. Ra is also an
important factor in controlling machining performance.
Surface roughness is influenced by many factors such as
spindle speed, feed rate, radial and axial depth of cut,
radial rake angle, helix angle etc. The experiments were
designed taking into an account, that the majority of
parameters will affect the surface roughness [5].
In manufacturing industry, end milling is one of the
most widely used metal removal process. The quality of
surface is important as it plays a key role for the
improvement of corrosion resistance, fatigue strength and
creep life to name a few. The study on the effect of
process parameters on surface roughness is essential in
order to set the required process parameter on the
machine. Recent investigation has revealed that when
cutting speed is increased, productivity can be
maximized and surface quality can be improved [1]. The
authors [2] stated that the surface roughness increased
with increase in the feed or axial depth of cut, whilst
decreased surface roughness arrived at increase in cutting
speed. Among the various machining parameters, most
literature sources revealed that feed rate has the greatest
influence on the surface roughness [7]; [8]; [27]; [15].
However, the study by [11] proved that that the
combined variation of both feed rate and cutting speed
are able to increase the surface finish.