Introduction to Metal Machining Processes

I
THEORY OF METAL MACHINING
Overview of Machining Technology
Theory of Chip Formation in Metal
Machining
Force Relationships and the Merchant
Equation
Power and Energy Relationships in
Machining
Cutting Temperature
I
Material Removal Processes
A family of shaping operations, the common feature
of which is removal of material from a starting
workpart so the remaining part has the desired
shape
Categories:
Machining
 – material removal by a sharp cutting tool,
e.g., turning, milling, drilling
Abrasive processes
 – material removal by hard, abrasive
particles, e.g., grinding
Nontraditional processes
 - various energy forms other
than sharp cutting tool to remove material
I
Machining
   Cutting action involves shear deformation of
work material to form a chip  .
As chip is removed, a new surface is exposed
Figure 21.2 ‑ (a) A cross‑sectional view of the machining
process, (b) tool with negative rake angle; compare with
positive rake angle in (a)
I
Why Machining is Important
Variety of work materials can be
machined
Most frequently applied to metals
Variety of part shapes and special
geometry features possible, such as:
Screw threads
Accurate round holes
Very straight edges and surfaces
Good dimensional accuracy and surface
finish
I
Disadvantages with Machining
Wasteful of material
Chips generated in machining are wasted
material, at least in the unit operation 
Time consuming
A machining operation generally takes more
time to shape a given part than alternative
shaping processes, such as casting, powder
metallurgy, or forming
I
Machining in the Manufacturing
Sequence
Generally performed after other
manufacturing processes, such as casting,
forging, and bar drawing
Other processes create the general shape of
the starting workpart
Machining provides the final shape,
dimensions, finish, and special geometric
details that other processes cannot create
I
Machining Operations
Most important machining operations:
Turning
Drilling
Milling
Other machining operations:
Shaping and planing
Broaching
Sawing
I
Turning
Single point cutting tool removes material from a
rotating workpiece to form a cylindrical shape
Figure 21.3 (a) turning
I
Drilling
Used to create a round hole, usually by means of a
rotating tool (drill bit) that has two cutting edges
Figure 21.3 ‑ The three most
common types of machining
process: (b) drilling
I
Milling
Rotating multiple-cutting-edge tool is moved slowly
relative to work to generate plane or straight
surface
Two forms: peripheral milling and face milling
Figure 21.3 ‑ (c) peripheral milling, and (d) face milling
I
Cutting Tool Classification
1.
Single-Point Tools
One cutting edge
Turning
 uses single point tools
Point is usually rounded to form a 
nose
radius
2.
Multiple Cutting Edge Tools
More than one cutting edge
Motion relative to work usually achieved by
rotating 
Drilling
 and 
milling
 use rotating multiple
cutting edge tools.
I
Figure 21.4 ‑ (a) A single‑point tool showing rake face, flank, and tool
point; and (b) a helical milling cutter, representative of tools with
multiple cutting edges
I
Cutting Conditions in Machining
The three dimensions of a machining process:
Cutting speed 
v
 – primary motion
Feed 
f
 – secondary motion
Depth of cut 
d
 – penetration of tool below original
work surface
For certain operations, material removal rate
can be found as 
  
MRR
 = 
v f d
 
 
where 
v
 = cutting speed; 
f
 = feed; 
d
 = depth of cut
I
Cutting Conditions for Turning
Figure 21.5 ‑ Cutting speed, feed, and depth of cut for a turning
operation
I
Roughing vs. Finishing in Machining
In production, several roughing cuts are usually
taken on the part, followed by one or two
finishing cuts 
Roughing
 - removes large amounts of
material from the starting workpart
Creates shape close to desired geometry, but
leaves some material for finish cutting
High feeds and depths
, low speeds
Finishing
 - completes part geometry
Achieves final dimensions, tolerances, and finish
Low feeds and depths, high cutting speeds
I
Machine Tools
A power‑driven machine that performs a
machining operation, including grinding 
Functions in machining:
Holds workpart
Positions tool relative to work
Provides power at speed, feed, and depth that
have been set
The term is also applied to machines that
perform metal forming operations
I
Orthogonal Cutting Model
A simplified 2-D model of machining that describes
the mechanics of machining fairly accurately
Figure 21.6 ‑ Orthogonal cutting: (a) as a three‑dimensional process
I
Chip Thickness Ratio
where 
r
 = 
chip thickness ratio
;
t
o
 = thickness of the chip prior to chip formation;
And
 
t
c
 
 = chip thickness after separation
Chip thickness after cut is always greater than before, so chip ratio is
always less than 1.0
I
Determining Shear Plane Angle
Based on the geometric parameters of the
orthogonal model, the shear plane angle 
 can
be determined as:
where 
r
 = chip ratio, and 
 
= rake angle
I
Figure 21.7 ‑ Shear strain during chip formation: (a) chip formation depicted
as a series of parallel plates sliding relative to each other, (b) one of the
plates isolated to show shear strain, and (c) shear strain triangle used to
derive strain equation
I
Shear Strain
Shear strain in machining can be computed
from the following equation, based on the
preceding parallel plate model:
 
= tan(
 - 
) + cot 
 
  
where 
 = 
shear strain,
 
 = 
shear plane angle,
and
 
 = 
rake angle of cutting tool
I
Figure 21.8 ‑ More realistic view of chip formation, showing shear
zone rather than shear plane. Also shown is the secondary shear
zone resulting from tool‑chip friction
I
Four Basic Types of Chip in
Machining
1.
Discontinuous chip
2.
Continuous chip
3.
Continuous chip with Built-up Edge
(BUE)
4.
Serrated chip
I
Segmented Chip
Brittle work materials
(e.g., cast irons)
Low cutting speeds
Large feed and depth
of cut
High tool‑chip
friction
Figure 21.9 ‑ Four types of chip
formation in metal cutting:
     (a) segmented
I
Continuous Chip
Ductile work materials
(e.g., low carbon steel)
High cutting speeds
Small feeds and depths
Sharp cutting edge on
the tool
Low tool‑chip friction
Figure 21.9 ‑ Four types of chip formation
in metal cutting:
     (b) continuous
I
Continuous with BUE
Ductile materials
Low‑to‑medium cutting
speeds
Tool-chip friction causes
portions of chip to adhere
to rake face
BUE formation is cyclical;
it forms, then breaks off
Figure 21.9 ‑ Four types of chip
formation in metal cutting: (c)
continuous with built‑up edge
I
Serrated Chip
Semicontinuous - saw-
tooth appearance
Cyclical chip formation
of alternating high shear
strain then low shear
strain
Most closely associated
with difficult-to-
machine metals at high
cutting speeds 
Figure 21.9 ‑ Four types of chip
formation in metal cutting: (d)
serrated
I
Forces Acting on Chip
Friction force
 
F
  and 
Normal force to friction
 
N
Shear force
 
F
s
 and 
Normal force to shear
 
F
n
Figure 21.10 ‑
Forces in metal
cutting: (a) forces
acting on the chip
in orthogonal
cutting
I
Resultant Forces
Vector addition of 
F
 and 
N
 = resultant 
R
Vector addition of 
F
s
 and 
F
n
 = resultant 
R
'
 Forces acting on the chip must be in
balance:
R
' must be equal in magnitude to 
R
R’
 must be opposite in direction to 
R
R’
 must be collinear with 
R
 
I
Coefficient of Friction
Coefficient of friction between tool and chip:
Friction angle related to coefficient of friction as follows:
I
Shear Stress
Shear stress acting along the shear plane:
where 
A
s
 = area of the shear plane
Shear stress = shear strength of work material during cutting
I
Cutting Force and Thrust Force
Forces 
F
, 
N
, 
F
s
, and 
F
n
 cannot be directly measured 
Forces acting on the tool that can be measured:
Cutting force
 
F
c
 and 
Thrust force
 
F
t
Figure 21.10 ‑ Forces
in metal cutting: (b)
forces acting on the
tool that can be
measured
 
I
 
I
I
Forces in Metal Cutting
Equations can be derived to relate the
forces that cannot be measured to the
forces that can be measured:
  
F = F
c
 sin
  + F
t
 cos
  
N = F
c
 cos
 ‑ F
t
 sin
 
  
F
s
 = F
c
 cos
 ‑ F
t
 sin
  
F
n
 = F
c
 sin
 + F
t
 cos
Based on these calculated force, shear
stress and coefficient of friction can be
determined
I
The Merchant Equation
Of all the possible angles at which shear
deformation could occur, the work material will
select a shear plane angle 
 which minimizes energy,
given by
Derived by Eugene Merchant
Based on orthogonal cutting, but validity extends to
3-D machining
I
What the Merchant Equation Tells
Us
To increase shear plane angle
Increase the rake angle
Reduce the friction angle (or coefficient of
friction)
I
Higher shear plane angle means smaller shear plane
which means lower shear force
Result: lower cutting forces, power, temperature, all
of which mean easier machining
Figure 21.12 ‑ Effect of shear plane angle
 : (a) higher 
 with a
resulting lower shear plane area; (b) smaller 
 with a corresponding
larger shear plane area. Note that the rake angle is larger in (a), which
tends to increase shear angle according to the Merchant equation
 
I
 
TMC
40
I
Power and Energy Relationships
A machining operation requires power
The power to perform machining can be
computed from: 
   
P
c
 = 
F
c
 v
 
 
where 
P
c
 = cutting power; 
F
c
 = cutting
force; and 
v
 = cutting speed
I
Power and Energy Relationships
In U.S. customary units, power is traditional expressed as
horsepower (dividing ft‑lb/min by 33,000)
where 
HP
c
 = cutting horsepower, hp
I
Power and Energy Relationships
Gross power to operate the machine tool 
P
g
 or
HP
g
 is given by
    
or
where 
E
 = mechanical efficiency of machine tool 
  Typical 
E
 for machine tools = 
 
90%
I
Unit Power in Machining
Useful to convert power into power per unit
volume rate of metal cut
Called the 
unit power
, 
P
u
 or 
unit horsepower
, 
HP
u
    
or
where 
MRR
 = material removal rate
I
Specific Energy in Machining
Unit power is also known as the 
specific
 
energy
 
U
 
Units for specific energy are typically N‑m/mm
3 
 or J/mm
3
 (in‑lb/in
3
)
I
Cutting Temperature
Approximately 98% of the energy in
machining is converted into heat
This can cause temperatures to be very
high at the tool‑chip
The remaining energy (about 2%) is
retained as elastic energy in the chip
I
Cutting Temperature
Several analytical methods to calculate cutting
temperature
Method by N. Cook derived from dimensional
analysis using experimental data for various work
materials
where 
T
 = temperature rise at tool‑chip interface; 
U
 = specific energy; 
v
= cutting speed; 
t
o
 = chip thickness before cut; 
C
 = volumetric specific
heat of work material; 
K 
= thermal diffusivity of the work material
I
Cutting Temperature
Experimental methods can be used to
measure temperatures in machining 
Most frequently used technique is the
tool‑chip thermocouple
 
Using this method, K. Trigger determined
the speed‑temperature relationship to be
of the form: 
   
T
 = 
K v
m
 
  
where 
T
 = measured tool‑chip interface
temperature
Metal Cutting theory
Plastically deform a material using a hard
tool in order to obtain desired physical
shape and properties
Very complex phenomena
Essential for high precision; high
performance products
I
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Metal machining is a vital part of manufacturing, involving processes like turning, milling, and drilling. It encompasses chip formation theory, force relationships, and energy considerations. While machining offers precision and versatility in shaping materials, it has drawbacks such as material wastage and time consumption compared to other methods like casting. Understanding the importance and disadvantages of machining, as well as its role in the manufacturing sequence, is key to optimizing production outcomes.

  • Metal Machining
  • Manufacturing Processes
  • Chip Formation
  • Material Removal
  • Machining Operations

Uploaded on Apr 16, 2024 | 10 Views


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  1. THEORY OF METAL MACHINING Overview of Machining Technology Theory of Chip Formation in Metal Machining Force Relationships and the Merchant Equation Power and Energy Relationships in Machining Cutting Temperature I

  2. Material Removal Processes A family of shaping operations, the common feature of which is removal of material from a starting workpart so the remaining part has the desired shape Categories: Machining material removal by a sharp cutting tool, e.g., turning, milling, drilling Abrasive processes material removal by hard, abrasive particles, e.g., grinding Nontraditional processes - various energy forms other than sharp cutting tool to remove material I

  3. Machining Cutting action involves shear deformation of work material to form a chip . As chip is removed, a new surface is exposed Figure 21.2 - (a) A cross-sectional view of the machining process, (b) tool with negative rake angle; compare with positive rake angle in (a) I

  4. Why Machining is Important Variety of work materials can be machined Most frequently applied to metals Variety of part shapes and special geometry features possible, such as: Screw threads Accurate round holes Very straight edges and surfaces Good dimensional accuracy and surface finish I

  5. Disadvantages with Machining Wasteful of material Chips generated in machining are wasted material, at least in the unit operation Time consuming A machining operation generally takes more time to shape a given part than alternative shaping processes, such as casting, powder metallurgy, or forming I

  6. Machining in the Manufacturing Sequence Generally performed after other manufacturing processes, such as casting, forging, and bar drawing Other processes create the general shape of the starting workpart Machining provides the final shape, dimensions, finish, and special geometric details that other processes cannot create I

  7. Machining Operations Most important machining operations: Turning Drilling Milling Other machining operations: Shaping and planing Broaching Sawing I

  8. Turning Single point cutting tool removes material from a rotating workpiece to form a cylindrical shape Figure 21.3 (a) turning I

  9. Drilling Used to create a round hole, usually by means of a rotating tool (drill bit) that has two cutting edges Figure 21.3 - The three most common types of machining process: (b) drilling I

  10. Milling Rotating multiple-cutting-edge tool is moved slowly relative to work to generate plane or straight surface Two forms: peripheral milling and face milling Figure 21.3 - (c) peripheral milling, and (d) face milling I

  11. Cutting Tool Classification 1. Single-Point Tools One cutting edge Turning uses single point tools Point is usually rounded to form a nose radius 2. Multiple Cutting Edge Tools More than one cutting edge Motion relative to work usually achieved by rotating Drilling and milling use rotating multiple cutting edge tools. I

  12. Figure 21.4 - (a) A single-point tool showing rake face, flank, and tool point; and (b) a helical milling cutter, representative of tools with multiple cutting edges I

  13. Cutting Conditions in Machining The three dimensions of a machining process: Cutting speed v primary motion Feed f secondary motion Depth of cut d penetration of tool below original work surface For certain operations, material removal rate can be found as MRR = v f d where v = cutting speed; f = feed; d = depth of cut I

  14. Cutting Conditions for Turning Figure 21.5 - Cutting speed, feed, and depth of cut for a turning operation I

  15. Roughing vs. Finishing in Machining In production, several roughing cuts are usually taken on the part, followed by one or two finishing cuts Roughing - removes large amounts of material from the starting workpart Creates shape close to desired geometry, but leaves some material for finish cutting High feeds and depths, low speeds Finishing - completes part geometry Achieves final dimensions, tolerances, and finish Low feeds and depths, high cutting speeds I

  16. Machine Tools A power-driven machine that performs a machining operation, including grinding Functions in machining: Holds workpart Positions tool relative to work Provides power at speed, feed, and depth that have been set The term is also applied to machines that perform metal forming operations I

  17. Orthogonal Cutting Model A simplified 2-D model of machining that describes the mechanics of machining fairly accurately Figure 21.6 - Orthogonal cutting: (a) as a three-dimensional process I

  18. Chip Thickness Ratio t o r = t c where r = chip thickness ratio; to = thickness of the chip prior to chip formation; And tc= chip thickness after separation Chip thickness after cut is always greater than before, so chip ratio is always less than 1.0 I

  19. Determining Shear Plane Angle Based on the geometric parameters of the orthogonal model, the shear plane angle can be determined as: r cos r =1 tan sin where r = chip ratio, and = rake angle I

  20. Figure 21.7 - Shear strain during chip formation: (a) chip formation depicted as a series of parallel plates sliding relative to each other, (b) one of the plates isolated to show shear strain, and (c) shear strain triangle used to derive strain equation I

  21. Shear Strain Shear strain in machining can be computed from the following equation, based on the preceding parallel plate model: = tan( - ) + cot where = shear strain, = shear plane angle, and = rake angle of cutting tool I

  22. Figure 21.8 - More realistic view of chip formation, showing shear zone rather than shear plane. Also shown is the secondary shear zone resulting from tool-chip friction I

  23. Four Basic Types of Chip in Machining 1. Discontinuous chip 2. Continuous chip 3. Continuous chip with Built-up Edge (BUE) 4. Serrated chip I

  24. Segmented Chip Brittle work materials (e.g., cast irons) Low cutting speeds Large feed and depth of cut High tool-chip friction Figure 21.9 - Four types of chip formation in metal cutting: (a) segmented I

  25. Continuous Chip Ductile work materials (e.g., low carbon steel) High cutting speeds Small feeds and depths Sharp cutting edge on the tool Low tool-chip friction Figure 21.9 - Four types of chip formation in metal cutting: (b) continuous I

  26. Continuous with BUE Ductile materials Low-to-medium cutting speeds Tool-chip friction causes portions of chip to adhere to rake face BUE formation is cyclical; it forms, then breaks off Figure 21.9 - Four types of chip formation in metal cutting: (c) continuous with built-up edge I

  27. Serrated Chip Semicontinuous - saw- tooth appearance Cyclical chip formation of alternating high shear strain then low shear strain Most closely associated with difficult-to- machine metals at high cutting speeds Figure 21.9 - Four types of chip formation in metal cutting: (d) serrated I

  28. Forces Acting on Chip Friction forceF and Normal force to frictionN Shear forceFs and Normal force to shearFn Figure 21.10 - Forces in metal cutting: (a) forces acting on the chip in orthogonal cutting I

  29. Resultant Forces Vector addition of F and N = resultant R Vector addition of Fs and Fn = resultant R' Forces acting on the chip must be in balance: R' must be equal in magnitude to R R must be opposite in direction to R R must be collinear with R I

  30. Coefficient of Friction Coefficient of friction between tool and chip: F = N Friction angle related to coefficient of friction as follows: = tan I

  31. Shear Stress Shear stress acting along the shear plane: F S = s A s where As = area of the shear plane t w o s= A sin Shear stress = shear strength of work material during cutting I

  32. Cutting Force and Thrust Force Forces F, N, Fs, and Fn cannot be directly measured Forces acting on the tool that can be measured: Cutting forceFc and Thrust forceFt Figure 21.10 - Forces in metal cutting: (b) forces acting on the tool that can be measured I

  33. I

  34. I

  35. Forces in Metal Cutting Equations can be derived to relate the forces that cannot be measured to the forces that can be measured: F = Fc sin + Ft cos N = Fc cos - Ft sin Fs = Fc cos - Ft sin Fn = Fc sin + Ft cos Based on these calculated force, shear stress and coefficient of friction can be determined I

  36. The Merchant Equation Of all the possible angles at which shear deformation could occur, the work material will select a shear plane angle which minimizes energy, given by 45 + = 2 2 Derived by Eugene Merchant Based on orthogonal cutting, but validity extends to 3-D machining I

  37. What the Merchant Equation Tells Us = + 45 2 2 To increase shear plane angle Increase the rake angle Reduce the friction angle (or coefficient of friction) I

  38. Higher shear plane angle means smaller shear plane which means lower shear force Result: lower cutting forces, power, temperature, all of which mean easier machining Figure 21.12 - Effect of shear plane angle : (a) higher with a resulting lower shear plane area; (b) smaller with a corresponding larger shear plane area. Note that the rake angle is larger in (a), which tends to increase shear angle according to the Merchant equation I

  39. I

  40. TMC 40

  41. Power and Energy Relationships A machining operation requires power The power to perform machining can be computed from: Pc = Fc v where Pc = cutting power; Fc = cutting force; and v = cutting speed I

  42. Power and Energy Relationships In U.S. customary units, power is traditional expressed as horsepower (dividing ft-lb/min by 33,000) F v c c= HP 33, 000 where HPc = cutting horsepower, hp I

  43. Power and Energy Relationships Gross power to operate the machine tool Pg or HPg is given by P P HP HP c c g= g= E or E where E = mechanical efficiency of machine tool Typical E for machine tools = 90% I

  44. Unit Power in Machining Useful to convert power into power per unit volume rate of metal cut Called the unit power, Pu or unit horsepower, HPu P HP c c u= u= P HP or MRR MRR where MRR = material removal rate I

  45. Specific Energy in Machining Unit power is also known as the specificenergyU P F v F c c c = = = = U P u MRR vt w t w o o Units for specific energy are typically N-m/mm3 or J/mm3 (in-lb/in3) I

  46. Cutting Temperature Approximately 98% of the energy in machining is converted into heat This can cause temperatures to be very high at the tool-chip The remaining energy (about 2%) is retained as elastic energy in the chip I

  47. Cutting Temperature Several analytical methods to calculate cutting temperature Method by N. Cook derived from dimensional analysis using experimental data for various work materials 4 0 . C . 0 333 vt U o = T K where T = temperature rise at tool-chip interface; U = specific energy; v = cutting speed; to = chip thickness before cut; C = volumetric specific heat of work material; K = thermal diffusivity of the work material I

  48. Cutting Temperature Experimental methods can be used to measure temperatures in machining Most frequently used technique is the tool-chip thermocouple Using this method, K. Trigger determined the speed-temperature relationship to be of the form: T = K vm where T = measured tool-chip interface temperature I

  49. Metal Cutting theory Plastically deform a material using a hard tool in order to obtain desired physical shape and properties Very complex phenomena Essential for high precision; high performance products I

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