Int J Adv Manuf Technol (2009) 42:883–891
DOI 10.1007/s00170-008-1646-7
ORIGINAL ARTICLE
Ultrasonic assisted dry grinding of 42CrMo4
Taghi Tawakoli & Bahman Azarhoushang &
Mohammad Rabiey
Received: 8 April 2008 / Accepted: 27 June 2008 / Published online: 18 July 2008
# Springer-Verlag London Limited 2008
Abstract In recent years, many cooling lubricants are
classified as health hazards, while their end-of-life treatment poses numerous ecological threats. Dry machining is
a solution for greener production and also is a favorable
process from an economical point of view. However,
compared to other machining processes, conventional
grinding has a low material removal rate and involves high
specific energy. A major part of the specific energy in
grinding is changed to heat that makes harmful effect on
surface quality. Therefore, in conventional dry grinding, as
there are no cutting fluids to transfer the heat from the
contact zone, the temperature of workpiece surface and
grinding wheel surface will be increased resulted to thermal
damage and poor surface integrity, increasing of wheel
wear and inefficient grinding compared to conventional
grinding. To make a step forward to pure dry grinding and
to eliminate the negative environmental impact of the
cutting fluids, a new technique called ultrasonic assisted
dry grinding has been used. The advantages of ultrasonic
assisted grinding were proved mostly for the brittle
material. Our investigations show the improvement on the
surface roughness, considerable reduction of the normal
grinding force, and thermal damage in case of using
ultrasonic assisted dry grinding compared to conventional
dry grinding for a soft material, 42CrMo4. A decrease of up
to 60% of normal grinding forces has been achieved.
Keywords Dry grinding . Ultrasonic machining .
Ultrasonic assisted dry grinding . Cooling lubricants .
Grinding forces . Surface roughness
T. Tawakoli : B. Azarhoushang (*) : M. Rabiey
Institute of grinding and precision technology (KSF),
Furtwangen University,
Villingen-Schwenningen, Germany
e-mail: B.Azarhoushang@hs-furtwangen.de
1 Introduction
The main functions of cutting fluids in metal removal
processes are cooling and lubricating the contact zone,
swarf disposal, minimizing the wear of the cutting tool, and
cleaning and minimizing corrosion. On the other hand, the
disadvantages of using cutting fluids include, from an
environmental point of view, health hazards, problems
involving the disposal of thousands of tones of a year of
used emulsion and oil–water mixtures—as well as a vast
amount of grinding slurry, filter fleece, and filter process
materials. From an economical point of view, coolant and
coolant management costs are almost 20% of the total
manufacturing costs. As a result, there is a growing interest
in dry machining or processes that require least quantities
of lubricant.
To decrease the negative environmental impact of the
cutting fluids and reducing manufacturing costs, new
machining techniques such as dry machining [1–4] are
used. Grinding is one of the most difficult processes with
regard to eliminating cutting fluids. During grinding, many
of the super abrasive grits that are in contact with the
workpiece do not perform real cutting, but instead generate
heat by rubbing and plowing the workpiece surface in the
contact zone. The high heat generation associated with a
high negative rake angle and with a great contact length in
grinding processes can greatly increase the temperature in
the contact zone. Without sufficient cooling and lubrication,
this can cause thermal damage on the workpiece surface
[5–6]. Due to these technical problems, cutting fluid is
almost necessary in most grinding applications, and the
methods of minimum grinding fluid or dry grinding have
not yet been fully successful in industrial applications [7,
8]. Generally, in conventional dry grinding (CDG), as there
are no cutting fluids to transfer the heat from the contact
zone, the temperature of the workpiece surface and grinding
884
wheel surface will be increased resulting to thermal damage
and poor surface integrity, increasing wheel wear and
inefficient grinding compared to conventional grinding. A
recent and promising technique to overcome these technological constraints is known as ultrasonic assisted dry
grinding (UADG). The principle of this technique is to
superimpose high frequency (16–40kHz) and low vibration
amplitude (2–15μm) in the feed or crossfeed direction to
the tool or the workpiece. This cutting process is different
from ultrasonic machining. In ultrasonic machining, metal
removal is effected with the help of abrasive grains
suspended in a slurry, which are made to strike repeatedly
upon the workpiece surface by a tool oscillating ultrasonically [9, 10]. Ultrasonic machining has been only
applicable to brittle materials. On the other hand, UADG
is a hybrid process of CDG and ultrasonic oscillation. It is
applicable to both ductile and brittle materials. By using
ultrasonic assisted machining, significant improvements in
thrust force, burr size, material removal rate, tool wear, heat
generation, noise reduction, and surface finish have been
reported. Zhang et al. [11] have both theoretically and
experimentally concluded that there exists an optimal
vibration condition such that the thrust force and torque
are minimized. Jin and Murakawa [12] found that the
chipping of the cutting tool can effectively be prevented by
applying ultrasonic vibration and tool life can be prolonged
accordingly. Azarhoushang and Akbari [13] have achieved
significant improvements in the circularity, cylindricity,
surface roughness, and hole oversize by applying ultrasonic
vibration to the drilling tool without using any cutting
fluids. Prabhakar et al. [14] have experimentally demonstrated that the material removal rate obtained from
ultrasonic assisted grinding (UAG) is nearly six to ten
times higher than that from a conventional grinding process
under similar conditions. Mult et al. [15] and Uhlmann [16]
Int J Adv Manuf Technol (2009) 42:883–891
found that, for ceramic materials, UAG can be applied as an
efficient production technology and the ultrasonic assisted
creep feed grinding provides enormously reduced normal
forces at slightly increased wheel wear and surface
roughness. Tawakoli et al. [17] demonstrated that, in
ultrasonic assisted dressing of cubic boron nitride (CBN)
grinding wheels, considerable reduction in grinding forces
and dresser wear is achievable.
In this investigation, a UADG system has been designed,
fabricated, and tested. Improvements in the Rz (parameter
of surface roughness) of the ground surfaces, reduction of
the normal grinding force, and thermal damages on the
ground surface due to superimposing of ultrasonic vibration
in the dry grinding of 42CrMo4 have been achieved.
Globally, the temperature fields measured in chips as
well as maximal temperature are higher in the case of the
42CrMo4 steel compared to mild steels and medium carbon
steels resulting from the increase of the friction coefficient
(for V = 30m/s, μ = 0.2 [18]) and the higher yield stress.
Sutter and Ranc [19] have experimentally demonstrated that
the temperature fields measured for cutting speed around
20m/s present maximums of 870°C for 42CrMo4 and 630°C
for C15 located near the tool–chip interface. Therefore, the
42CrMo4 steel was chosen as the test workpiece in this
experimental investigation to emphasize the effect of superimposing ultrasonic vibrations in dry grinding of soft steel.
The effect of vibration amplitude, feed speed, and depth
of cut on surface roughness and the normal grinding force
have been investigated.
2 Design and fabrication of UADG system
To study UADG, an actuated workpiece holder has been
designed and built. Figure 1a illustrates schematically the
(a)
Fig. 1 a Scheme of the experimental setup. b Experimental setup for UADG
(b)
Int J Adv Manuf Technol (2009) 42:883–891
experimental setup. The workpiece holder consists of a
piezoelectric transducer, a booster, a horn, and a special
fixture. The ultrasonic power supply converts 50Hz
electrical supply to high-frequency (21kHz) electrical
impulses. These high frequency electrical impulses are fed
to a piezoelectric transducer and transformed into mechanical vibrations of ultrasonic frequency (21kHz) due to the
piezoelectric effect. The vibration amplitude is then amplified by the booster and the horn and transmitted to the
workpiece attached to the horn. The resultant vibration of
the workpiece fixed in the tool holder reaches 10μm (i.e.,
20μm peak to peak) at a frequency of about 21kHz.
Vibration is applied to the workpiece in the crossfeed
direction of the grinding wheel. The amplitude of the
ultrasonic vibration can be adjusted by changing the setting
on the power supply. The experimental setup used to study
UADG is shown in Fig. 1b.
In the design of the UADG acoustic head, it is
considered that the whole structure must possess enough
stiffness to withstand the dynamic loads during the grinding
operation. The acoustic head parts should have high fatigue
resistance and low acoustic losses (meaning that they
should not absorb too much energy from the vibrations).
Each part of the acoustic head is made of aluminum 7075T6 with high strength, high fatigue resistance, and very
good acoustic properties to provide enough stiffness and
low acoustic losses. The fixture that clamps the acoustic
head is made of steel.
3 Experiments
The experimental equipment consists of the following:
&
&
Machine tool: Elb Micro-Cut AC8 CNC universal
surface grinding machine
Ultrasonic vibration generator: Mastersonic MMM
generator-MSG.1200.IX, power of 12,000W, frequency
ranges of 17.000 to 46.728kHz
Table 1 Major machining
parameters
885
&
&
&
Eddy current displacement measurement system: Micro
epsilon eddyNCDT 3300, to measure the amplitude of
vibration. Measuring ranges 0–0.5mm, linearity 0.2%,
resolution 0.005%, measuring rate 100kHz
Surface roughness tester: Hommel-Werke, model T-8000
Dynamometer: Kistler piezoelectric dynamometer model
9255B
The settings of the main machining parameters for the
present study are summarized in Table 1.
The tests were carried out for both UADG and CDG
with the same instrument. However, during the CDG, the
ultrasonic generator was switched off. Every workpiece was
divided into three different sections, and UADG experiments were applied on the center section (Fig. 2).
4 Experimental results and discussion
Most of the CDGs were unsuccessful due to the thermal
damage on the ground workpiece surface. As there were no
cutting fluids to transfer the high heat from the contact
zone, this result had been expected. Figure 2 shows
photographs of the ground surfaces. It is apparent that, in
both samples, the middle section (ultrasonically assisted
ground surface) has experienced much less thermal damage
compared to other sections (conventional ground surfaces).
The effect of vibration amplitude, feed speed, and depth
of cut on surface roughness and normal grinding force were
studied. To achieve reliable data, each test was repeated
three times. In all the figures, lines were formed by
calculating the least-squares fit through the data points for
a second-order polynomial equation. Figure 3 shows that
the relationship between vibration amplitude and normal
grinding force. The amplitude zero in this figure represents
results of CDG. The experimental results show significant
improvement for UADG compared to CDG in different
vibration amplitudes. Apparently, the reason for these
improvements is the change of the nature of the cutting
Parameters
Grinding wheel
Workpiece
Grinding conditions
Grinding process
Dressing conditions
Dressing tool
Direction of ultrasonic vibration
Ultrasonic vibration conditions
Vitrified bond CBN grinding wheel, B126 C125; ∅400×16 mm
42CrMo4, 85 HRB, (60×50×30 mm)
Feed speed vft =1,000–2,000 mm/min; cutting speed vc =60 m/s;
depth of cut ae =0.010–0.030 mm; no coolant (dry grinding)
Dry surface grinding
Dressing ratio qd =0.8, wheel speed vcd =60 m/s, depth
of dressing aed =5 μm, overlapping ratio Ud =4, total
depth of dressing aed-total =10 μm
Diamond disc dresser radius Rsp =0.2 mm
Cross feed direction (perpendicular to feed)
Frequency f=21 KHz, amplitude A=10µm
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Int J Adv Manuf Technol (2009) 42:883–891
Fig. 2 (I) vft =1,000 mm/min,
vc =60 m/s, (a) ae =15 μm
(CDG), (b) ae =15 μm, A=
10 μm (UADG), (c) ae =10 μm
(CDG); II vft =2,000 mm/min
vc =60 m/s, (a) ae =25 μm
(CDG), (b) ae =30 μm, A=
10 μm (UADG), (c) ae =30 μm
(CDG)
(I)
process, which is transformed into a process with a
multiple-impact interaction between the abrasive grits and
the formed chip.
Figures 4, 5, 6 and 7 compared the normal grinding force
and surface roughness produced by UADG with CDG
under different depth of cuts. Experiments were carried out
at vc = 60m/s, f = 21kHz, A = 10μm. Based on the results
from previous stages, it is believed that UADG performs
enhanced under these conditions. These conditions are not
essentially the optimal ones. For depths of cuts more than
10μm in CDG, thermal damages of the ground surfaces were
observed. This phenomenon is shown with a fire symbol in
Figs. 4 and 5. It should be noted that the scatter in the
measured surface roughness and grinding forces obtained
through UADG is much less compared to CDG. It means
that using UADG increases the repeatability of the process.
The maximum oscillating velocities (up to 80m/min) and
accelerations (up to 174,100m/s2) are generated at the
Fig. 3 Normal grinding
force vs. vibration amplitude
(ae =20µm, f=21 kHz)
(II)
amplitude of 10μm and a frequency value of 21kHz. The
larger the vibration amplitude, the greater the material
removal rate per active grain and the higher the kinetic
energy with which the grits strike the work surface. Due to
the high frequency interaction of active grains on the
workpiece, the cutting process in UADG becomes discontinuous, and ultrasonic impact action occurs, thus causing
the material to begin to rollover more easily as well as more
micro cracking propagation in the cutting zone, which both
make an effective interaction between grits and workpiece
surface. Therefore, the grinding forces and frictional effects
are decreased so that less plastic deformation occurs.
It has already been proven by some researchers [20] that
deformation processes for ultrasonic assisted machining are
restricted in the vicinity of the cutting edge along the
surface of the workpiece and are not observed underneath
the cutter, in contrast to the conventional machining
process. Plastic deformation of the machined surface in
Int J Adv Manuf Technol (2009) 42:883–891
887
Fig. 4 Grinding normal
force vs. depth of cut,
vft =1,000 mm/min
case of using ultrasonic oscillation is less than that in
conventional machining. In addition, the coefficient of
friction in grinding decreases with an increase in sliding
speed between the grit and the material. As the sliding
speed in UADG due to ultrasonic vibration is higher than
sliding speed in CDG, the coefficient of friction reduces.
This suggests that, in UADG, a fewer number of strong
bonds between the grit and the material are formed.
Authors assume that, by oscillation of the workpiece in
Fig. 5 Grinding normal
force vs. depth of cut,
vft =2,000 mm/min
crossfeed direction, the rubbing and plowing regimes that
cause the major part of plastic deformation are reduced so
that the grinding specific energy is also reduced and the
thermal damage on the ground surface is significantly
decreased.
Ultrasonic vibrations cause a reduction in friction
because they apply an additional stress to assist in breaking
the instantaneous welds and they reduce the time that any
two asperities on opposite surfaces may remain in momen-
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Int J Adv Manuf Technol (2009) 42:883–891
Fig. 6 Ra and Rz vs. depth of
cut, vft =1,000 mm/min (UADG:
A=10µm, f=21 kHz)
tary contact and, hence, keep them from forming a stronger
weld. In addition, as the sliding speed in UADG due to
ultrasonic vibration is higher than sliding speed in CDG,
the coefficient of friction reduces. This suggests that, in
UADG, a fewer number of strong bonds between the grit
and the material are formed and the surface roughness is
improved.
Figure 8 shows a surface roughness profile that
compares an ultrasonically ground surface profile with a
conventionally ground surface profile.
4.1 Kinematics of UAG
To investigate the theoretical aspects of ultrasonic grinding,
it is necessary to study the chip formation process by
UADG and compare it with CDG.
Fig. 7 Ra and Rz vs. depth of
cut, vft =2,000 mm/min (UADG:
A=10µm, f=21 kHz)
The mean uncut chip area in the grinding process can be
calculated as [21]:
Acu
tot
¼
N
mom
X
Acu;i Acu N mom
ð1Þ
i¼1
where N mom is the momentary number of kinematics
cutting grains, Acu, i is the uncut chip area of the active
grain i, Acu-tot is the total and Acu is the mean uncut chip
area.
On the other hand, the total volume of material removal
in contact zone can be written as:
Vw Lg
N
mom
X
i¼1
Acu;i
ð2Þ
Int J Adv Manuf Technol (2009) 42:883–891
889
Fig. 8 Surface roughness
profile (vc =60 m/s, vft =
1,000 mm/s, ae =30 μm)
where is Lg the kinematics contact length. Using Eq. 1, we
have:
Vw Lg Acu N mom
ð3Þ
So far, for the case of UADG and CDG, it can be written
sinusoidal path due to the ultrasonic vibration of the
workpiece.
The length of path due to the vibration depends on the
time which a grain is in the contact length. This time can be
written as:
as:
Vw
UADG
Vw
CDG
Lg
Lg
UADG
CDG
Acu
Acu
UADG
N mom
CDG :N mom CDG
UADG
ð4Þ
t¼
lg CDG
vc vw
ð9Þ
ð5Þ
as the total material removal is the same for both UADG
and CDG, so:
Vw
UADG
¼ Vw
CDG :
ð6Þ
Looking at the Fig. 9, it can be seen that Acu in each
cross-section of the contact length depends on the location
of the grain on the contact length as well as the depth of
penetration. Theoretically, the ultrasonic vibration has a
very low influence on Acu when the direction of the
ultrasonic wave is perpendicular to the direction of grain
movement on the contact length as in the case of this study.
With this analogy, we have:
Acu
UADG
Acu
CDG
Using Eqs. 2–7:
1
Lg UADG
N mom UADG
¼
:
N mom CDG
Lg CDG
ð7Þ
ð8Þ
From Fig. 9, it can be seen that the path that a grain
moved on it in the contact zone is the superposition of a
rather straight line of kinematics contact length and the
Fig. 9 Grinding model for UAG. a Schematic of the motion of a
grain on the workpiece surface in UAG. b Path generation of grains
by UAG
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Int J Adv Manuf Technol (2009) 42:883–891
And the path due to ultrasonic vibration Lvib will be:
Lvib ¼ 2 p A
lg
f
vc vw
The lower specific energy in Eq. 21 causes the lower
heat generation and lower surface temperature.
ð10Þ
where f is the frequency of the ultrasonic vibration and lg is
the geometrical contact length, vc is the grinding speed, vw
is the workpiece speed, and A is the amplitude of the
ultrasonic vibration. The plus sign in the denominator is
related to up-grinding and the minus sign is related to
down-grinding. Therefore, in general form:
5 Conclusion
Experimental studies of UADG and CDG demonstrate
considerable advantages of the former technology for dry
grinding 42CrMo4.
&
Lg
UADG
lg
Lg CDG þ 2 p A
f
vc vw
ð11Þ
Based on Eq. 11, it can be seen that:
Lg
UADG
> Lg
ð12Þ
CDG
Now, assume that:
2pA
lg
f ¼ l Lg
vc vw
CDG
ð13Þ
where l is a constant, then using Eqs. 7, 12, and 13:
N mom UADG
¼ ð 1 þ lÞ 1 :
N mom CDG
ð14Þ
By the way, the tangential grinding forces have a direct
relation with total mean uncut chip area [21]:
Ft / Acu
ð15Þ
tot
and the total tangential force is the summation of forces of
all active grain in contact zone, so:
Ft / Acu N mom :
ð16Þ
&
Comparative experiments of the grinding forces demonstrated up to 60% reduction in normal grinding force for
the workpieces machined with superimposed ultrasonic
vibration. Most of CDGs were unsuccessful due to the
thermal damage on the ground workpiece surface. The
reason for this phenomenon was due to the absence of
cutting fluids in the process and, consequently, the
generation of high heat in the contact zone. These
improvements are subjected to the change of the nature
of the cutting process in UADG, which is transformed
into a process with a multiple-impact interaction
between the tool and the formed chip resulting in
interrupted cutting and reducing the grinding forces,
frictional effect, and plastic deformation zone.
It was also found that using UADG leads to significant
improvements on the Rz parameter.
Future studies will include the use of ultrasonic
oscillation in the feed direction and the comparison of the
corresponding process parameters.
Acknowledgments The authors would like to acknowledge the help
of Mr. Nima Jandaghi and Mr. Rolf Rinderknecht in conducting
experiments.
Using eqs. 7 and 14–16:
Ft UADG
¼ ð 1 þ lÞ
Ft CDG
1
ð17Þ
On the other hand, the normal forces and tangential
forces have the following relation:
Fn ¼ m Ft
ð18Þ
where μ is a constant. Therefore, using Eqs. 17 and 18:
Fn UADG
¼ ð 1 þ lÞ
Fn CDG
1
ð19Þ
As the specific energy:
ec ¼
Ft vc
b
ð20Þ
where b is the wheel width, then:
eUADG
¼ ð 1 þ lÞ
eCDG
1
ð21Þ
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