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Lehrstuhl für Technologieder Fertigungsverfahren
Laboratoriumfür Werkzeugmaschinenund Betriebslehre
Manufacturing Technology I
Exercise 14
Material removing machining techniques
(Selecting and designing techniques)
WerkzeugmaschinenlaborLehrstuhl für
Technologie der FertigungsverfahrenProf. Dr. - Ing. F. Klocke
RWTH - AachenSteinbachstraße 53
52065 Aachen
Inhaltsverzeichnis
Fertigungstechnik I - Übung 14 2
Table of Contents1 Selecting the technique ..................................................................... 3
1.1 Variants of the technique................................................................... 31.2 Areas of application for material removing production techniques .... 31.3 Selecting techniques in tool and mould manufacture ........................ 7
2 Designing electrical discharge machining operations (EDM)............. 92.1 Symbols and abbreviations ............................................................... 92.2 Collection of equations .................................................................... 112.3 Tasks............................................................................................... 14
3 Designing Electro-Chemical Machining (ECM)................................ 183.1 Symbols and abbreviations ............................................................. 183.2 Formulae ......................................................................................... 203.3 Task................................................................................................. 21
4 Literature ......................................................................................... 23
Selecting techniques in tool and mould manufacture
Fertigungstechnik I - Übung 14 3
1 Selecting the technique
1.1 Variants of the technique
The material removing manufacturing techniques include the following machining
operations with their associated variants:
• Electro Discharge Machining, EDM),
- Electrical discharge machining,
- Electrical discharge cutting, using wire electrode which is running off;
• Electro-chemical material removal (Electro Chemical Machining, ECM),
- Electro-chemical machining,
- Electro-chemical deburring;
• Chemical removal,
- Etching.
Electrical discharge material removal and electro-chemical removal, both of which
are widely used in industrial practise, are presented in this exercise.
1.2 Areas of application for the material removing production techniques
The technological and economic characteristics of the material removing
production techniques make them particularly suitable for use in tool and mould
manufacture. The general advantages of the techniques include the non-contact
machining mode, which produces only low levels of process force and permits
materials of any level of hardness to be machined. It also provides the option of
machining complex and filigree contours. The drawback of electrical discharge
machining is the thermal damage to the external zone, which results from the
thermal material removal principle. In electro-chemical machining, account must
be taken of the gap expansion in deep cavities. Some examples of possible areas
of application are shown in Table 1.1.
Selecting techniques in tool and mould manufacture
Fertigungstechnik I - Übung 14 4
Electrical Discharge Machining, EDMElectrical discharge machining
- Tool & mould manufacture: Manufacture of injection and compression moulds, Forging dies, start holes for wire erosion - Turbine manufacture, cooling ducts in turbine blades Electrical discharge cutting with a trailing wire electrode - Tool and mould production, manufacture of cutting tools punches and dies - Plastics processing, manufacture of extrusion dies - Manufacture of stator blades
Electro Chemical Machining, ECM)Electro-chemical machining - Turbine production, manufacture of turbine laufern and cooling ducts Turbine blades - Tool making, manufacture of deburring diesElectro-chemical deburring - Deburring and contour machining operations on ratchet wheels synchronizing disks and axis parts
Table 1.1 Areas of application for the material removing manufacturing
techniques
Tool and mould manufacturing is dominated by single part and small batch
production, i.e. in the majority of cases, only a few specimens of any particular
tool are manufactured. The wide range of different tools confronts the tool and
mould manufacturer with a demand for a high degree of flexibility.
Tool and mould manufacture can be subdivided into various types. A basic
distinction is drawn between samples and prototypes, auxiliary tools and serial
tools. Samples, prototypes and auxiliary tools are used in the early stages of the
product or tool development process. These will not be examined at this point. In
contrast, serial tools are generally used in pre-series and pilot lots, in product
implementation phases and after the launch of a product on the market.
Serial tools, in turn, can be divided into various categories, whereby characteristic
features are allocated to different categories. Distinctions can be made between
injection and compression moulds, forging dies, drawing and pressing tools. The
materials used, the form of the raw material and, above all, the geometry or the
contour, provide characteristics for each individual category, Table 1.2. The
features are associated with characteristic demands, which must be met by the
techniques used to manufacture the tools and moulds.
Selecting techniques in tool and mould manufacture
Fertigungstechnik I - Übung 14 5
Tool / Form Materials Raw material Contour / Geometry
Injection & 40 CrMnMo 7 Raw bloom Hollow mouldPress mould X 38 CrMoV 5 1 (large material complex contour Rm = 100 - 1500 N/mm² removal) highly filigree large engraving depth
Forging dies 56 NiCrMoV 7 v Raw bloom Hollow mould X 38 CrMoV 5 3 (very large material less complex contour Rm = 1300 - 2000 N/mm² removal) slightly curved surfaces large rounding
Drasing& GG 25 CrMo Cast blank Hollow mouldPressing tools GGG 70 (constant less complex contour Zamak allowance) slighty curved surfaces 220 - 270 HB 30 (Grey cast iron) large rounding
Cutting tools PM S 653 Raw bloom Brakedown PM X 210 CrW 12 some complex, filigree PM X 155 CrVMo 12 1 cutting line geometry 57 - 64 HRC high levels of precision in Rm ≤ 2000 M/mm² some cases
Table 1.2 Dividing serial tools into categories
A typical forging die for connecting rod is shown in Fig.1.3. This connecting rod die
is usually manufactured in an electrical discharge machining operation. The tool
electrodes which are required, are generally shaped as forming electrodes, i.e. the
contour to be produced, is present in the tool. The die is produced by die-sinking
the electrodes into the workpiece. A graphite tool electrode is shown in Fig. 1.4.
These electrodes are used to manufacture the base for the roof railing of the
Mercedes C-class. The electrodes are generally manufactured in a cutting, i.e.
milling, turning, grinding operation.
Fig. 1.3 Forging die manufactured in a spark erosion operation
Selecting techniques in tool and mould manufacture
Fertigungstechnik I - Übung 14 6
Source: SGL Carbon, Mercedes-Benz
Graphite electrode215 x 65 x 45 mmMaterial R8510Up to surface quality VDI 30
Graphite electrode with 34 ribs215 x 65 x 45 mmMaterial R8710Up to surface quality VDI 24
Finished part TPE
Fig. 1.4 Graphite electrode and plastic injection moulded part
Turbine manufacture is an important area of application for electro-chemical rib
machining. Whole turbine wheels are produced in this manner, using electro-
chemical machining, Fig. 1.5. However, on the other hand, even oval cooling bore-
holes can be drilled into the curved turbine blades. This cannot be achieved when
other manufacturing techniques are used.
Fig. 1.5 Electro-chemically manufactured turbine wheels
Selecting techniques in tool and mould manufacture
Fertigungstechnik I - Übung 14 7
1.3 Selecting techniques in tool and mould manufacture
The production techniques to be used in tool an mould manufacture are selected
on the basis of various criteria which can be summarised under the categories
technology, geometry and economic efficiency, Fig. 1.6. Metal cutting techniques
such as milling and grinding as well as the metal removing techniques, are
suitable for rough and finish machining operations. The characteristics and
properties of the metal removing techniques EDM and ECM are shown in Fig. 1.6.
Milling EDM ECM Grinding
- all electrically conductive materials can be machined- geometrically complex grooves possible- high-strength materials can be machined, because there are no developments of forces
- all metalic materials can be machined- geometrically complex grooves possible- high-strength materials can be machined, because there are no developments of forces
Economic efficiency- time spenting- necessary machines and appliances- automatable- personell-intensity
Technology- Material- Surface- Frige area influence- Form- and positional tolerance- material removal efficiency / wearout
Geometry- Tool geometry- Material geometry
Fig. 1.6 Criteria for the selection of manufacturing techniques in tool
manufacturing
The dressing operation can be followed by a finish-machining operation,
depending on the level of surface quality required. Although manual re-working is
common in industrial practice, it has the disadvantages of a lack of reproducibility
and a high requirement for personnel. Alternatively, EDM or electro-chemical
machining methods can be applied, Fig. 1.7. Each of the alternative finish-
machining techniques has its own specific advantages and disadvantages.
EDM polishing is not fundamentally different from other forms of EDM machining.
Only the discharge energy is reduced considerably, permitting high levels of
surface quality to be achieved. The disadvantages are the long machining times
and the process related thermal workpiece damage which can be minimised, but
never completely avoided.
Selecting techniques in tool and mould manufacture
Fertigungstechnik I - Übung 14 8
Electro-chemical finish-machining provides reproducible removal depths, good
levels of surface quality and high dimensional, form and positional accuracy. This
technique also lends itself well to automation. However, the work required to build
the devices, for example, is so high that it is usually economically efficient to
machine only serially produced parts in this way. However tool and mould
manufacture is dominated by single part and small batch production.
- labour intensive- not reproducible
- Kinematic & technological limitations by complex 3D forming
- Removal not reproducible- Dimensional integrity
+
+
+
- Suitable from Rmax < 10 µm- form contortion in depth engraving- therm. workpiece damage
+
EDM polishing withsilicon powder
Electrochemicalfinish-machining
EDM polishing
Abrasive flow machining
Grinding/Honing/Lapping
Shot / Sand blasting
Manual polish
+
- Limited area- time consuming- therm. workpiece damage
- Low form & dimensional accuracy- technological limits for complex shapes
- reproducible mat. removal- easy to automate- high surface quality- Form- and position exact
Fig. 1.7 Finish-machining techniques in tool and mould manufacture
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 9
2 Designing EDM cutting operations
2.1 Symbols and abbreviations
A mm2 Cross-sectional area
EDM - Electro Discharge Machining
FD N Wire pretensioning force
I A Average working current, strength of current
P W Power, abrasive flow
QW mm3/min Material removal rate
Ra µm Arithmetic mean deviation of the
Rm N/mm2 tensile strength,
T h Machining time
U V Average working voltage
V mm3 Volume of material removed
VE mm3/min Electrode wear rate
VW mm3/min Material removal rate
VW mm2/min Cutting rate
We mJ Discharge energy
b µm Bulging
bR µm Width of the external zone
bU µm Width of the phase transformation zone
d mm Diameter
fe Hz Effective pulse frequency
fp Hz Pulse frequency
h mm Workpiece height, workpiece thickness
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 10
ie A Discharge current
i(t) A Flow of the current over time
îe A Maximum discharge current
ie(t)A Progression of the discharge current over time
m g Mass of material removed
q mm3/s Flow rate
r mm Radius
r mm Planetary radius
s µm Machining gap
sF µm Frontal machining gap
sL µm Lateral machining gap
sm mm Middle cutting track
so mm Upper cutting track
su mm Lower cutting track
t0 µs Pulse interval time
td µs Ignition delay
te µs Discharge duration
ti µs Pulse duration
tp µs Pulse cycle time
u, v mm Excursion of the upper wire feed
u(t) V Voltage curve over time
ue V Discharge voltage
ue(t) V Discharge voltage over time
ûi V no-load voltage
v m/s Speed
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 11
vA mm/min Removal rate
vD m/s Wire run-off speed
δR µm Crack depth
λ % Frequency ratio
ϑ % Relative wear
ρ g/cm3 Density
ρLeg g/cm3 Density of the alloy
τ - Duty factor
2.2 Formulae
1. Discharge duration te is the time of the current conduction during discharge.
2. The ignition delay time td, is the time which elapses between switching on the
voltage pulse and arcing through the discharge path, i.e. until the current
increases. This time is required in order to build up the discharge channel and
therefore depends on the condition of the machining gap.
3. The pulse duration ti, is the time of the switched on voltage pulse (adjustable
at the generator). It equals the sum of the discharge duration and the ignition
delay time:
ti = te + td.
In the case of iso-frequent generators, the discharge times may vary as a
result of different ignition conditions in the machining gap when the pulse
duration is fixed.
4. The pulse interval time t0 is the interval between two voltage pulses
(adjustable at the generator). The discharge path of the previous discharge is
de- ionised in this time, permitting the subsequent discharge to ignite at a
different point.
5. The pulse cycle time tp is the time between switching on one voltage pulse
and switching on the following voltage pulse. It is equal to the sum of the pulse
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 12
duration ti and the pulse interval time, t0:
tp = ti + t0.
6. The duty factor τ is the ratio of the pulse duration ti to the pulse cycle time tp:
τ = ti / tp.
7. The pulse frequency fp, is the number of voltage pulses switched on per unit
of time:
fp = 1 / tp.
8. The no-load voltage ûi occurs as a maximum value on the discharge path
when no current is flowing. It can usually be adjusted in several stages at the
generator and determines among other things the width of the machining gap
in which a discharge can ignite.
9. During discharge, the discharge current ie flows through the discharge path.
As a rule, the average discharge current ie is usually specified. It is limited by
the efficiency of the power module of the generator and can be adjusted in
stages at the generator.
Since the conditions in the machining gap change constantly, the erosion process
is generally a stochastic sequence of voltage and current progressions. The
following parameters are defined accordingly.
1. The effective pulse frequency fe is the number of actually ignited spark
discharges per unit of time in the discharge path.
2. The frequency ratio λ is the ratio of the effective pulse frequency fe to the
pulse frequency fp:
λ = fe / fp.
This quantity is an informative value which can be used as a basis on which to
evaluate the quality of the erosion process.
3. The discharge voltage ue, occurs on the discharge path when the discharge
has ignited and the current is flowing. Since this quantity is time-dependent,
the mean discharge voltage ue is usually specified. The level of the mean
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 13
discharge voltage ue , is dependent on the material combinations involved
and lies between 15 and 30 V in the majority of cases.
4. The average working voltage U, is the arithmetic mean value of the voltage on
the discharge path during the machining operation.
5. The average working current I, is the arithmetic mean value of the current
which flows through the discharge path during the machining operation. The
average working voltage U, and the average working current I, are two
measured quantities which can be used to adjust and monitor the erosion
process.
6. Pulse energy We, is the energy consumed on the discharge path during one
discharge. The following applies:
W u (t) i (t) dt u i tt
e e e e e ee
= ⋅ ≈ ⋅ ⋅ .
The volume of the individual discharges and, to a considerable degree the
structure of the surface after erosion, is determined by the pulse energy.
7. The material removal per discharge VWe is the volume of the workpiece
removed by one discharge.
8. The wear per discharge VEe is the volume of the tool electrode removed per
unit of time.
9. The material removal rate VW is the volume of workpiece material removed
per unit of time.
10. The electrode wear rate VE, is the volume of tool material removed per unit of
time.
11. The volumetric relative wear ϑ, is the ratio of the electrode wear rate VE to the
material removal rate VW:
ϑ = VE / VW.
12. The arithmetic mean surface roughness value Ra, and the average peak-to-
valley height Rz, are used to evaluate surface quality.
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 14
2.3 Exercises
Exercise 1:
Plans have been drawn up to finish-machine a forging die for a crankshaft in an
EDM operation. The die has been pre-milled with an allowance of 3 mm, leaving a
material volume of 60 cm³ to be removed in the EDM operation.
a) Outline three reasons in not form, for finish-machining the die in an EDM
operation.
b) A pulse duration ti = 350 µs and a pulse interval time t0 = 50 µs, have been set
for the static pulse generator of the electrical discharge machining facility. What
frequency response ratio is required in order to ensure that a machining time T,
of 200 min can be achieved in the erosion operation when the material removal
is Vwe = 2.5 * 10-3 mm³ per discharge?
c) After the erosion operation, a reduction in the tool electrode mass of 10.80 g
was measured (density ρ = 1.8 g/cm³). Please calculate the volumetric relative
wear υ.
d) In order to achieve worthwhile material removal rates in smoothing operations,
the tool electrode has the form of a four-channel electrode and the die is
eroded using the multi-channel technique. What voltage serves as the
regulating variable for the feed motion of the tool electrode?
Minimum working voltage
Average working voltage of all channels
Maximum working voltage
No-load voltage
Discharge voltage
Please give reasons for your answer
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 15
R1
R3
R2
A
A
section A-A40
Fig. 1.3.1 Precision punch
a) The intention is to produce a punch in an EDM operation using a trailing wire
electrode in multi-cut technology. How many re-cuts are required when a
surface quality of Ra = 0.4 µm is specified? Please describe the approach
pursued by this technology. Use Table 1.3.1 for your solution
Surface
quality
Cutting rate VW [mm²/min]
Ra [µm] Main cut Re-cut 1 Re-cut 2 Re-cut 3
1.8 60
1.1 60 120
0.9 60 120 90
0.4 60 120 90 80
Table 1.3.1 EDM cutting in multi-cut technology
b) Why is the cutting rate higher in all re-cuts than in the main cut, although the
pulse energy or the discharge current is reduced considerably?
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 16
c) How high is the manufacturing cost in an EDM process when the length of the
cutting path S, including the approach path is 360 mm, the die is 30 mm high,
assuming a machine hourly rate of 75 €/h. Please use Table 1.3.1 to answer
this question.
d) The punch used, has a step for attachment in the precision cutting tool (c.f.
Fig. 1.3.1). Why can the punch not be manufactured in an EDM cutting
operation?
e) Constant flushing of the machining gap is planned in order to minimise the
machining time required. Sketch the arrangement of the machining electrode
and tool in the diagram below. Label the dielectric flow. Assume that the tool
electrode was produced in an EDM cutting operation.
Machining direction
punch
Finished contour
f) The punch is to be machined in a rough followed by a finish machining
operation. Use Diagram 1.3.1 to determine the minimum machining time t,
required, when the workpiece weighs 2.8 kg prior to machining, 1.2 kg after
rough machining and 0.96 kg after finish-machining. The density of the HSS
material used, is 8 kg/10-3 m³.
Auslegung funkenerosives Senken (EDM)
Fertigungstechnik I - Übung 14 17
500
mm³min
50
10
5000µs5001005010Pulse duration t
100
%
10
5
1
Mat
eria
l rem
oval
rate
wre
lativ
was
tage
ie = 90 A
ie = 10 A
ie = 90 A
ie = 10 A
τ = 0,9
ui = 240 V
λ = 0,8
Diagram 1.3.1 Material removal rate and relative wear
g) The lateral gap width in the rough machining operation is 250 µm and 30 µm in
the finish-machining operation. What measure can be taken in order to ensure
that it is not necessary to produce a new finish-machining electrode? At what
contour radii (R1, R2, R3) in Fig. 1.3.1, do process-related limitations take
effect?
h) How long is the feed path covered by the machining electrode in the rough-
machining operation when wear occurs only in the front area of the electrode,
the setting conditions are selected as listed for f) and the machining gap
measures 250 µm? Fig. 1.3.1 and Diagram 1.3.1 are required in order to
answer this part of the question.
Designing Electro-Chemical Machining (ECM)
Fertigungstechnik I - Übung 14 18
3 Designing Electro-Chemical Machining (ECM)
3.1 Symbols and abbreviations
A mm2 Electrode area
C kg/100l H2O Electrolyte concentration
ECM - Electro-Chemical-Machining
F A s/mol Faraday constant
I A Average working current, Strength of current
J A/mm2 Current density
Jmin A/mm2 Minimum current density
M g/mol Molar mass
Mi g/mol Molar mass of alloy element i
Men+ - Metal lion with the ionic charge n+
P W Power
Q A s Electrical charge
QW mm3/min Material removal rate
R Ω Resistance
Ra µm Arithmetic mean peak-to-valley height
Rm N/mm2 Tensile strength
U V Average working voltage
∆U V Polarisation voltage
Uel V Voltage drop in the electrolyte solution
V mm3 Volume of material removed
Vspmm3/(A min) Specific volume of material removed
h mm Height, width of workpiece
Designing Electro-Chemical Machining (ECM)
Fertigungstechnik I - Übung 14 19
m g Mass removed
q mm3/s Flow rate
r mm Radius
s mm Gap width
∆s mm Gap expansion
s90 mm Front gap
sα mm Normal gap
smax mm Maximum gap width
smin mm Minimum gap width
t s Machining time
va mm/min Material removal time
vf mm/min Feed speed
z - Change in electro-chemical valency
zi - Change in electro-chemical valency of the alloying
element i
α ° Angle of contour inclination, conicity
κ S/m Specific electrical conductivity
θa °C Electrolyte temperature on electrolyte flow exit
θe °C Electrolyte temperature on electrolyte flow entry
ρ g/cm3 Density
ρLeg g/cm3 Alloy density
Designing Electro-Chemical Machining (ECM)
Fertigungstechnik I - Übung 14 20
3.2 Formulae
Faraday’s Law m Mz F
I t=⋅
⋅ ⋅
Material removal rates given
- Non-passivating
electrolyte solutions v V JA sp= ⋅
- Passivating
electrolyte solutions v V J - JA sp min= ⋅ ( )
Current density J IA
=
Gap width sU
Jel=
⋅ κ.
Voltage drop in the
electrolyte solution Uel = U - ∆U
Designing Electro-Chemical Machining (ECM)
Fertigungstechnik I - Übung 14 21
3.3 Task
Fig. 2.3.1 Motor cycle brake disk (according to Köppern GmbH, Hattingen)
12 bore-holes (diameter d = 14 mm) are required in order to accommodate the
connecting pins for the production of the motor cycle brake disk illustrated
(material X20Cr13, density ρ = 7.8 g/cm³, thickness 6 mm). Since the brake disk
has been hardened and the brake disk holder has not been tempered, this cannot
be achieved in a conventional drilling operation (the drill would slip into the
untempered material).
Electro-chemical machining is suitable since no influence is exerted by process
forces when this technique is applied.
Three brake disks are laid on top of one another (with the holder inserted) and are
machined in an electro-chemical operation using a 20 % in weight sodium nitrate-
electrolyte solution (conductivity κ = 15 S/m). With an average working voltage U,
of 12 V, a material removal rate va, of 4 mm/min is achieved.
The polarisation voltage is ∆U = 4 V and the mean electro-chemical valency is z =
3 under the prevailing machining conditions. The intention is to set the Faraday-
constant F, to 96.487 A*s/mol and the average molar mass M, to 55 g/mol.
Designing Electro-Chemical Machining (ECM)
Fertigungstechnik I - Übung 14 22
a) What strength of current is required for this electro-chemical machining
operation?
b) How long does the machining operation take?
c) What size is the gap width s, between the tool and the workpiece?
Designing Electro-Chemical Machining (ECM)
Fertigungstechnik I - Übung 14 23
4 Literature
König, W. Fertigungsverfahren, Vol. 3, Abtragen
EDM: P. 3 – 63
ECM: P. 69 – 118
VDI-Verlag, Düsseldorf, 1990.
Spur, G.,
Stöferle, Th.
Handbuch der Fertigungstechnik, Vol. 4/1, Abtragen,
Beschichten
EDM: P. 60 – 134
ECM: P. 266 – 340
Hanser-Verlag, München, 1987.