Slides accompanying 2.008x* video module on Machining, Prof. John Hart, MIT, 2016.
*Fundamentals of Manufacturing Processes on edX: https://www.edx.org/course/fundamentals-manufacturing-processes-mitx-2-008x
3. 2.008x
Machine shop in the DC printing office (1909)
National Photo Company Collection via wikimedia. This
work is in the public domain.
A present-day CNC machine shop
“KIM_6446.” Kim Becker (CC BY 2.0) via Flickr
CNC Tools
“Drill bit set” via Pixabay.
This work is in the public domain.
5. 2.008x
Manufacturing the Macbook ‘unibody’
(+ iPhone etc)
Excerpt from: http://www.youtube.com/watch?v=sxbiIpXZfG8
about Jony Ive (Apple VP of Design): http://www.newyorker.com/magazine/2015/02/23/shape-things-come
6. 2.008x
12” Macbook (released 2015)
Terraced CNC housing to hold 30% more battery volume;; single PCB
2.03 pounds, 0.51” thick (max), 9hrs using wifi at 75% brightness
http://www.apple.com/macbook/design/
7. 2.008x
What is machining?
§ … “a general term describing a group of
processes that consist of the removal of
material and modification of the surfaces
of a workpiece after it has been produced
by various methods.” (Kalpakjian and Schmid)
§ Traditional machining: a rotating cutter
containing several 'teeth' that removes
material from a local region of the part.
§ Other machining processes that use
different removal mechanisms and/or
energy sources include electron discharge
machining (EDM), laser machining, and
water jet cutting.
Kalpalkian and Schmid, Manufacturing Engineering and Technology
8. 2.008x
Machined parts: from small to large
Brass fittings
Image from Pixabay. This work is in the public domain.
iPhone 5 and 6
housings
Boeing 777 panel
outboard
Watch mechanism
https://pixabay.com/en/watch-
time-gears-clock-time-clock-
932693/
9. 2.008x
Diagram from Kalpalkian and Schmid, Manufacturing Engineering and Technology.
Machining is good at flat and curved surfaces,
threads;; tolerances ~0.001”
0.5 mm
Brass fittings
Image from Pixabay. This work is
in the public domain.
15. 2.008x
CNC turning a chess rook (2X speed)
Turning
Video excerpt from: https://www.youtube.com/watch?v=lcGHtI9Lql4
Diagrams adopted from Kalpakjian and Schmid, Manufacturing Engineering and Technology
Contour turning Facing
Boring
(internal turning)
Cutoff
(with saw)
16. 2.008x
Basic cutting (turning) nomenclature
§ Feed: axial distance tool moves per
spindle revolution
§ Depth of cut: amount of material
removed perpendicular to workpiece
§ Spindle speed: rotation speed of
workpiece [RPM]
à The cutting tool is set to a
certain depth of cut and travels
to the left with a certain
velocity as the workpiece
rotates (spindle speed)
Kalpakjian and Schmid, Manufacturing Engineering and Technology
17. 2.008x
Example: cutting speed and MRR
A 304 stainless steel rod is being turned on a lathe.
§ The rod is initially 2.0 cm diameter, and becomes 1.9 cm in a single cut.
§ The spindle rotates at N=300 rpm, and the tool is traveling at an axial speed of 20
cm/min.
§ The specific cutting energy is 4.0 W-s/mm3
.
à What is the initial cutting speed? (tangential velocity)
à What is the initial material removal rate (MRR)?
18. 2.008x
Example: cutting speed and MRR
à What is the initial cutting speed? (tangential
velocity)
m/min18.8m/s31.0 === NDV oc π
19. 2.008x
Example: cutting speed and MRR
à What is the initial material removal rate (MRR)?
fdVNfdDMRR c== 1π
cm/rev0.067==
N
V
f a
cm0.05
2
=
−
=
fo DD
d
20. 2.008x
Example: cutting speed and MRR
à What is the initial material removal rate (MRR)?
fdVNfdDMRR c== 1π
cm/rev0.067==
N
V
f a
cm0.05
2
=
−
=
fo DD
d
/mincm.301 3
== fdVMRR c ----
correct:
6.3 cm3/min
21. 2.008x
Material removal = controlled failure
Excerpt from: https://www.youtube.com/watch?v=mRuSYQ5Npek
Material is removed (and a chip is produced) at the
head of the tool by plastically deforming and
continuously shearing the material
22. 2.008x
What do the tool and material experience
during cutting?
§ Force
§ Motion (sliding, vibration)
§ Heating
à These lead to deformation
of the workpiece and wear
of the tool
à All of these are coupled
and influence part quality!
23. 2.008x
How we’ll understand cutting mechanics
Step II:
Forces
Step I:
Motion &
Deformation
Step III:
Energy &
Power
25. 2.008x
We assume a 2D (orthogonal)
cutting path
Orthogonal (2D)
Provides insight for understanding
Oblique (3D)
Realistic, yet difficult to analyze
x
y
z
x
y
z
26. 2.008x
2D model: angles and assumptions
Three important angles:
§ Rake angle α
§ Shear angle φ
§ Relief angle ε
Shear plane
Tool
Workpiece
+-
α
φ
ε
Chip
Assumptions:
§ The tool is perfectly sharp
§ The tool moves at a
constant V and t0
§ A continuous chip is
produced
28. 2.008x
Shear model of
orthogonal cutting
In reality the ‘pages’ are very thin and
related to the microstructure of the
material being cut: ~0.001-0.01 mm
(10-3-10-4 in)
Tool
Workpiece
Chip
tc
tc
t0
30. 2.008x
What do we learn?
§ φ ↓ = γ ↑ or α ↓ = γ ↑
§ γ ∼2-4 (very large!)
à Think of the material
‘turning the corner’
( ) ( )αφφγ −+= tancot
Shear plane
Tool
Workpiece
+-
α
φ
ε
Chip
Analysis of shear strain
31. 2.008x
(Tesla video)
Here, digital image correlation (DIC) is used to map the strain field
NIST high speed videos of tool/chip/material interaction: http://www.nist.gov/el/isd/sbm/hsds-machining-videos.cfm
Mapping shear strains during cutting
33. 2.008x
Why do we study
cutting forces?
§ Forces are related to the
material and cut geometry
§ Forces cause the tool and
workpiece to deform
§ Forces (and speed)
determine the power
required for cutting
à The coupling of motion
and force at the cutting
interface influences quality,
tool life, and productivity!
38. 2.008x
Cutting force data for aluminum (AA2014)
à Here too, cutting force depends strongly on feed (f) but not on speed (Vc)
Gokkaya, “The Effects of Machining Parameters on Cutting Forces,Surface Roughness, Built-Up Edge (BUE) and Built-Up Layer
(BUL) During Machining AA2014 (T4) Alloy”, Journal of Mechanical Engineering 56(2010)9, 584-593
39. 2.008x
Merchant’s relationship: relating the angles
(reference slides to be posted)
is derived assuming that the shear angle (φ) self-adjusts to
minimize the required cutting energy
Tool
Workpiece
+-
α
φ ε
Chip
à if rake angle ↓ or friction angle ↑: shear angle ↓
à consequences of smaller shear angle:
§ chip thickness ↑
§ energy dissipation via shear ↑
§ heat generation ↑
§ temperature ↑
224
αβπ
φ +−= [radians]
β = friction angle (µ = tan β)
40. 2.008x
Validating Merchant’s equation
Chart adapted from: Metal Cutting Theory and Practice,
Stephenson and Agapiou
224
αβπ
φ +−=
Key assumptions:
§ Slow, orthogonal cutting
§ Constant material properties
with temperature
§ Simple sliding friction
§ No strain hardening
α
φ ε
52. 2.008x
Cutting tools
Monolithic tool (e.g., HSS or Carbide)
Tooling with inserts
Diagrams from Kalpalkian and Schmid, Manufacturing Engineering and Technology
55. 2.008x
Tool hardness, temperature rise
Tmean
∝V a
f b
max
Kalpalkian and Schmid, Manufacturing Engineering and Technology
speed V and feed f;; a
and b are constants
that depend on the tool
and part
56. 2.008x
Tool wear
Depth of cut
Flank wear
Crater
wear
Flank
wear
Crater wear
on
W
t
Crater Wear
on the Rake
Face
Wear on
the Flank
Face
Deposition
causing a
“Built Up
Edge”
Thermal
Cracking
Images from Figure 23.2 Fundamentals of Modern Manufacturing (4th Edition) by Groover. (c) Wiley (2010).
Wear schematics from: http://www.sandvik.coromant.com/en-us/knowledge/milling/troubleshooting/tool_wear
58. 2.008x
Chip types (selected)
Continuous chip (narrow primary shear zone)
§ Ductile materials @ high speed
§ Entanglement bad (use chip breakers)
Continuous chip with built up edge (BUE)
§ Bad for surface finish and tool wear
Discontinuous chip (good)
§ Brittle materials;; very low or very high cutting
speeds
Continuous chip
Continuous with BUE
Discontinuous
Kalpalkian and Schmid, Manufacturing Engineering and Technology.
65. 2.008x
A simple estimate of cutting force
FC ~b t0 S
b = depth of cut (d in turning)
t0 = feed (f in turning)
S = strength
Material UTS* (MPa)
Wax 0.86
Aluminum 110
Aluminum 6061-T6 310
Steel (high strength alloy)
ASTM A-514
760
Titanium alloys 900
*UTS = Ultimate Tensile Strength
Shear strength ~0.5*UTS
Workpiece
+-
α
φ
Chip
FC
66. 2.008x
What other forces are present?
§ Thrust: Ft
§ Cutting: Fc
§ Friction: Ff (µ = Ff/N)
§ Tool normal: N
§ Shear: Fs
§ Chip Normal: Fn
R
Fc
Ft
Fn
Fs N
Ff
67. 2.008x
Estimating the cutting power
Power input = Power out + Power dissipated
Power input:
§ Machine: Pc = Fc * V
Power dissipation:
§ Shear: Ps = Fs * Vs
§ Friction: Pf = Ff * Vc
Vs V
Vc
Fs
Not deformed
Plastically
Deformed
Fc
Fc
α
φ
Chip
- +
NOTE
Vc = velocity of chip
V = cutting velocity
(denoted VC earlier)
68. 2.008x
Contributions to cutting energy
à specific energy = power/MRR
*Kalpakjian
neglects Units =
Power/(volume/time)
[W*s/mm3]
Shear + Friction + Others = TOTAL
Vs V
Vc
Fs
Not deformed
Plastically
Deformed
Fc
Fc
α
φ
Chip
- +
69. 2.008x
Let’s estimate the cutting power and force
§ A SS rod is initially 2.0 cm diameter, and
becomes 1.9 cm in a single cut (full rotation).
§ The spindle rotates at N=400 rpm, and the tool
is traveling at an axial speed of 20 cm/min.
§ The specific cutting energy is 4.0 W-s/mm3
.
à How much power is required?
MRR = Vfd = πD1Nfd
à
p
d
CKalpakjian and Schmid, Manufacturing Engineering and Technology
70. 2.008x
Let’s estimate the cutting power and force
§ A SS rod is initially 2.0 cm diameter, and
becomes 1.9 cm in a single cut (full rotation).
§ The spindle rotates at N=400 rpm, and the tool
is traveling at an axial speed of 20 cm/min.
§ The specific cutting energy is 4.0 W-s/mm3
.
à How much power is required?
drive
t
drive
spindle
input
tspindle
MRRuP
P
MRRuP
ηη
==
= MRR = Vfd = πD1Nfd
à
p
d
C
P = 0.6 kW
with efficiency = 0.7
Kalpakjian and Schmid, Manufacturing Engineering and Technology
71. 2.008x
Let’s estimate the cutting power and force
§ A SS rod is initially 2.0 cm diameter, and
becomes 1.9 cm in a single cut (full rotation).
§ The spindle rotates at N=400 rpm, and the tool
is traveling at an axial speed of 20 cm/min.
§ The specific cutting energy is 4.0 W-s/mm3
.
à What is the approximate cutting force?
MRR = Vfd = πD1Nfd
fdu
V
Vfdu
V
MRRu
F
MRRuVFP
t
tt
c
tcspindle
===
==
à
p
d
C
F = 1 kN
Kalpakjian and Schmid, Manufacturing Engineering and Technology
72. 2.008x
Kalpakjian and Schmid, Manufacturing Engineering and Technology
Material-dependent cutting energies
à Also see ‘machinability rating’
73. 2.008x
What did we learn so far? (summary)
§ Cutting removes material from a workpiece by (severe) plastic
deformation.
§ Using a 2D approximation (applied to turning) we can relate the
geometry and motion of the tool to the cutting force and power
required.
§ Tool-material interaction is dominated by shear and friction,
causing deformation and heating.
§ Commercial machine tools easily exert many kN of force at
many kW of power.
§ Recommended cutting parameters are stated based on
material and tool limits.
à Now let’s talk about milling.
75. 2.008x
How are milling and turning different?
Excerpt from Ingersoll
https://www.youtube.com/watch?v=IUBQN1JfY80
Feed per tooth (f)
v = velocity of tool or workpiece
N = rotational speed
n = number of teeth (‘flutes’)
Diagrams from Kalpalkian and Schmid, Manufacturing Engineering and Technology
77. 2.008x
Climb milling versus
Conventional milling
6061-T6 Aluminum with ¼” endmill
Spindle Speed: 4000rpm
Feed: 20.0ipm
Depth of cut: .400”
Width of cut: .070”
Diagrams from Kalpalkian and Schmid, Manufacturing Engineering and Technology
85. 2.008x
How the toolpath for each area is designed
Add finishing passes
where needed
Generate the pocket cutting paths
Contour-parallel tool path Direction-parallel tool path
Begin with offset elements
of the contour to generate
cutting paths
Step inwards or outwards
for subsequent passes
Select reference line and mill along
parallel lines
Zig milling: Feed along spindle
direction
Zig-zag: Both directions (includes
significantly fewer tool retractions)
Finishing pass around features
Contour parallel path
Diagrams from M. Held, On the Computational Geometry of Pocket Machining;; Lecture Notes in Computer Science;; Springer Berlin Heidelberg: Berlin,
Heidelberg, 1991;; Vol. 500.
Evaluate the shape of material to be removed
Boundary contours pf the pocket
Contours of drilled holes and features such
as bosses
86. 2.008x
Optimization for
cost or time?
Kalpakjian and Schmid, Manufacturing Engineering and Technology
Cost of machining =
§ Machine use ($/time)
§ Tool cost
§ Tool change cost ($/time)
§ Nonproductive cost ($ for
load/unload operations
etc)
Time (1/rate) of machining =
§ Machining time
§ Tool change time
§ Nonproductive time
(load/unload etc)
Taylor’s equation
V*(Tool_life)n = Constant
87. 2.008x
iPhone housing: 4 à 5 à 6
§ Materials?
§ Advantages / disadvantages of each design?
§ Other notable differences?
92. 2.008x
Design for
Manufacturing (DFM):
The process of designing
parts/products to enable
easier* and more robust**
manufacturing.
*fewer steps, lower cost
**more reliable, better quality
93. 2.008x
From Otto and Wood, Product Design: Techniques in Reverse Engineering and New Product Development
Design for Machining
Use standard dimensions
D = 0.627” D = 0.625”
Don’t Do
DoDon’t
Provide access for tools
Avoid long, narrow holes
Avoid long, thin sections that
cause vibration
Do
Don’t Difficult to
fixture
Easier to
hold
Design parts that are easy to
fixture
Impossible
DoDon’t
Radius smaller
than ¼”
Use ¼ - ½”
radius
Design for reasonable internal
pockets radii
Impossible
94. 2.008x
DFM: what’s wrong with this part?
§ Sharp internal corners are
impossible!
§ Avoid thin sections à
(deformation, poor surface
finish).
also
§ Minimize the number of tool changes, while considering overall
machining time (e.g., rough removal versus fine finishing).
§ Know the limits of tooling available (e.g. minimum size, maximum depth)!
§ Consider fixturing (how you will hold the part, and reference it if re-
fixtured)
96. 2.008x
How is machining
advancing now?
§ Higher speed machining, largely
driven by tool materials/coatings
à lower cost and higher
throughput!
§ Growing demand for machining
of advanced materials, e.g.,
titanium, composites, etc.
§ Networked machines enabling
remote process monitoring and
optimization à toolpath, cutting
speed, tool life, surface quality,
etc.
97. 2.008x
Excerpt from: https://www.youtube.com/watch?v=8Lh600hVyt8
Figure adopted from 20.31, Degarmo, Materials and Processes in Manufacturing
High-speed machining: chip carries the heat away
Total heat generated
% to
workpiece
% to
tool
% to
chip
Cutting speed
Low High
0
50%
100%
Heat generated
98. 2.008x
Conclusion: performance of machining
Machining
Rate Low-Medium
Quality Good!
Cost Wide range, depends on design, material,
production volume
Flexibility High (within machine
constraints)