1 What Does It Mean “Metal Cutting”? ...........................................................1 ! |$ X) g4 a+ C/ K# n) Z/ c8 T; p
1.1 Introduction ...............................................................................................1 $ L- {. p9 S# w6 |
1.2 Known Results and Comparison with Other Forming Processes ..............2 / v- j) @ x9 C- C; n8 J1 D. ?
1.2.1 Single-shear Plane Model of Metal Cutting ...................................2 ; c, e. `0 b; v) W- a) l
1.2.2 Metal Cutting vs. Other Closely Related Manufacturing % \% H3 a+ {4 ~( {- Q9 ^4 r3 s/ m
Operations .................................................................................................5
+ X7 u* o/ `5 N; I( ~2 ]& m1.3 What Went Wrong in the Representation of Metal Cutting?...................22 # b: R5 C8 L& B' ?) s
1.3.1 Force Diagram..............................................................................23 1 h& L8 _6 B# k0 }
1.3.2 Resistance of the Work Material in Cutting.................................25
& s2 d. p1 i, C2 n 1.3.3 Comparison of the Known Solutions for the Single-shear
+ }) {8 a. O* T4 I# P# q Plane Model with Experimental Results .................................................27 4 U I7 ~0 R, I+ Y! W( u
1.4 What is Metal Cutting?............................................................................28 / H& c' E' l0 L, ?9 W5 c5 p w
1.4.1 Importance to Know the Right Answer........................................28
+ b( x4 \% C, E6 _) [( @% C' f/ \ 1.4.2 Definition .....................................................................................28
* A" J, B( z) t$ W: a% g) D/ s1 T 1.4.3 Relevance to the Cutting Tool Geometry.....................................29
" v% U, f( `! ~1.5 Fundamental Laws of Metal Cutting.......................................................32 3 ~; v+ B# u$ d# U0 {8 b
1.5.1 Optimal Cutting Temperature – Makarow’s Law........................32
. S( a7 p9 U' k+ I 1.5.2 Deformation Law.........................................................................35 + O- e) O4 b( p6 B" r- r
References........................................................................................................50 # Y' J- X' G/ _" g% ~% U% [* t
2 Basic Definitions and Cutting Tool Geometry, 5 P, z M0 t X0 {1 b% v2 i$ q
Single Point Cutting Tools ............................................................................55 ) E' s+ |( ^# u& r. j
2.1 Basic Terms and Definitions ...................................................................55 3 j# H5 H% _) J4 K9 J: ~
2.1.1 Workpiece Surfaces.......................................................................57 9 W8 V' S* t. J/ z$ @% V0 @; b
2.1.2 Tool Surfaces and Elements ..........................................................57
( v8 x2 c3 s Y! a 2.1.3 Tool and Workpiece Motions.......................................................57 ) Y) i# q+ \ L4 H1 B1 ]: R8 f. p; Q
2.1.4 Types of Cutting ............................................................................58
% y/ V( ~# {* X. T2.2 Cutting Tool Geometry Standards...........................................................60 8 n6 n+ w! L# Q8 J
2.3 Systems of Consideration of Tool Geometry ..........................................61
4 v$ {7 x0 A$ w! B# c0 Z2.4. Tool-in-hand System (T-hand-S) .......................................................64
" {: l& C6 R, R) \7 N V 2.4.1 Tool-in-hand Coordinate System.................................................64 7 g4 a# ~% X4 q* G$ |: }
2.4.2 References Planes ........................................................................66
* {' B$ O2 |5 n# a* _9 G 2.4.3 Tool Angles..................................................................................68 c. k% @" }6 {7 i r0 @2 ~/ G
2.4.4 Geometry of Cutting Tools with Indexable Inserts ......................74
% l, L0 Q* b+ R( N4 E+ W' v- m2.5 Tool-in-machine System (T-mach-S)......................................................84
, o$ z2 S" m: n( M3 g' a9 h0 M 2.5.1 Angles ..........................................................................................84 5 |2 `5 g/ w3 m$ t$ F k
2.5.2 Example 2.3 .................................................................................88
8 H- ]$ _1 U1 p2.6 Tool-in-use System (T-use-S) .................................................................90
+ ~+ S; d+ m: X- X. W9 H7 g( W 2.6.1 Reference Planes ..........................................................................91 ) o: H- j- L4 e0 J/ ?
2.6.2 The Concept .................................................................................92
& A4 h/ P1 J9 u9 Z9 A1 t 2.6.3 Modification of the T-hand-S Cool Geometry .............................92 $ S a/ |# T' p/ [ Q% R, t# k
2.6.4 Kinematic Angles.........................................................................98
- X1 g/ p9 a' E2 L) q 2.6.5 Example 2.4 ...............................................................................100
9 ]6 S, ~ r) ?2 J2.7 Avalanched Representation of the Cutting Tool Geometry
) h6 d0 |. _3 [7 D# w in T-hand-S............................................................................................102
+ ^6 L8 N" `+ Y% S, K/ |* |7 V 2.7.1 Basic Tool Geometry .................................................................102
4 R6 C# ~) `# A2 |, p! u, n: W2.7.2 Determination of Cutting Tool Angles Relation * I9 @7 O4 T( @2 c
for a Wiper Cutting Insert ..........................................................108 , t" y% ~5 C! R0 A! z
2.7.3 Determination of Cutting Tool Angles
, ~& |2 U& {. r- l Y for a Single-point Tool ...............................................................110
* M/ e- Y6 \. A* g! u1 b6 K& n3 B& y 2.7.4 Flank Angles of a Dovetail Forming Tool .................................117 8 Z: b# [: \" h; ]+ |0 E
2.7.5 Summation of Several Motions..................................................119 # a" D$ H/ G: k4 l$ N4 n
References......................................................................................................125
9 R. ?" \7 [( b. e: K) \3 Fundamentals of the Selection of Cutting Tool Geometry Parameters...127
# P: l, [, k8 d/ V3.1 Introduction ...........................................................................................127
& H8 j. D; @0 o8 b3.2 General Considerations in the Selection of Parameters
- e8 `, [" g2 D8 M of Cutting Tool Geometry .....................................................................129
5 s- K1 C% T0 W% [ q 3.2.1 Known Results .............................................................................129 4 h0 c' E! x$ o
3.2.2 Ideal Tool Geometry and Constrains............................................130 ) X- h& [0 X8 P$ g$ \
3.2.3 Practical Gage for Experimental Evaluation of Tool Geometry...132 # U' H3 D) R* ?* s# B% F. @* p
3.3 Tool Cutting Edge Angles .....................................................................132 % Y6 m0 _) H4 H. y+ A' W
3.3.1 General Consideration................................................................132
5 }! N! Q! f! G/ c+ v0 R [: p: R 3.3.2 Uncut ChipT in Non-free Cutting ..............................................134
1 W1 s1 ~* t4 w* Y! L. @ `! z3 u 3.3.3 Influence on the Surface Finish..................................................142
2 ~+ D2 D/ T$ l 3.3.4 Tools with κr > 90°.....................................................................144
9 W/ n0 @6 d" T& p% a4 C6 | 3.3.5 Tool Minor Cutting Edge Angle ................................................147 0 Q8 w9 E3 r( ^$ G1 a4 s; O4 Q( ]3 X
3.4. Edge Preparation ...................................................................................161 ; W/ B" v/ f- L& S
3.4.1 General .......................................................................................161
3 Z( p, `' L7 A, o2 D& P 3.4.2 Shape and Extent........................................................................163
9 g" ^8 e$ p, G 3.4.3 Limitations .................................................................................163
( H) S; d# O0 K 3.4.4 What Edge Preparation Actually Does.......................................169
( {) r6 M8 V8 Q% L! L3.5 Rake Angle............................................................................................171 " M! v& s6 h# N4 B
3.5.1 Introduction................................................................................171 # q) L: y$ W/ j: z1 U( l
3.5.2 Influence on Plastic Deformation and Generazliations ..............175
* O; n- J6 ~# p, \1 T 3.5.3 Effective Rake Angle .................................................................183
& c- C+ t/ K& C7 u) O 3.5.4 Conditions for Using High Rake Angles....................................189 3 @8 L+ q+ R; o
3.6 Flank Angle ...........................................................................................191
6 m, ^- T& e- E2 G& _8 P# F3.7 Inclination Angle...................................................................................193
+ m4 y* H. d* m6 \ 3.7.1 Turning with Rotary Tools.........................................................195
- D8 F! H7 H$ \4 f) m 3.7.2 Helical Treading Taps and Broaches..........................................197 ( g! i5 |; |8 z% P
3.7.3 Milling Tools..............................................................................198
0 a+ B/ v2 n. t5 W9 tReferences......................................................................................................201
' B+ v3 L; F* u6 T% w* q1 J' p# R4 Straight Flute and Twist Drills ...................................................................205 % p: G9 l, G! @$ a
4.1 Introduction ...........................................................................................205
' Z7 @; I7 _! j1 H t4.2 Classification.........................................................................................206 , z" L% ]9 |: P
4.3 Basic Terms...........................................................................................208
) V+ [! H/ B9 J( k4.4 System Approach ..................................................................................211 V$ ]( b- a; l! y
4.4.1 System Objective .......................................................................212 ' H6 _% N) J. T
4.4.2 Understanding the Drilling System............................................212 3 p- @4 F) A5 o+ o8 h
4.4.3. Understanding the Tool..............................................................212 1 a* A! v/ W P0 N' }1 Z
4.5. Force System Constrains on the Drill Penetration Rate ........................213 ' ~. y+ J* E: w5 `2 L) w0 \$ N
4.5.1 Force-balance Problem in Conventional Drills ..........................213
, y2 b" L; q9 Q. `, ?& J2 O2 D$ D 4.5.2 Constrains on the Drill Penetration Rate....................................218
+ z% n8 e4 [* D- u% C7 \ 4.5.3 Drilling Torque ..........................................................................219 9 R' L6 s; }" J* \2 ~, L
4.5.4 Axial Force.................................................................................220 P1 l0 f/ c. Q1 C. P/ Z* l- T! j. V
4.5.5 Axial Force (Thrust)-torque Coupling .......................................221
0 j, O# [* ^6 G4 l. @; S( q' E4.6 Drill Point ..............................................................................................223
- \3 ^. `1 l& N' [2 F 4.6.1 Basic Classifications ..................................................................223 8 z- u E# `* d% P0 [4 A
4.6.2 Tool Geometry Measures to Increase the Allowable 8 w( `* ?* i' d X: Q
Penetration Rate ....................................................................................224 ; Z" ]6 h# @* U5 r L9 R
4.7 Common Design and Manufacturing Flaws..........................................259 $ _1 X* `- l1 E0 V/ H( j
4.7.1 Web Eccentricity/ Lip Index Error.............................................260 * ^7 ^0 T7 u% N9 J* P1 j9 f
4.7.2 Poor Surface Finish and Improper Tool Material/Hardness.......261 ; h; b) T% u: L: X: F% \
4.7.3 Coolant Hole Location and Size.................................................263 1 S: Z' }. d* ]# W2 M
4.8 Tool Geometry ......................................................................................267 / _6 r& w9 h- @; h/ Q ?
4.8.1 Straight-flute and Twist Drills Particularities............................269 + v- @; n( `; w [4 V
4.8.2 Geometry of the Typical Drill Point ..........................................270 + y6 N5 \" u3 f$ Z7 D
4.8.3 Rake Angle.................................................................................272
V8 S9 t6 W8 x* L( g 4.8.4 Inclination Angle .........................................................................280 / B5 v% ?* H% o' t& V3 Z
4.8.5 Flank Angle................................................................................281 Y3 R- |: J/ ~! z7 h3 s) Z* c
4.8.6 Geometry of a Cutting Edge Located at an Angle " Z) q/ Z/ H/ ?# B! k0 W; J$ H
to the y0-plane ............................................................................292 ' @" w1 s+ T- f, h) o
4.8.7 Chisel Edge ................................................................................295 % j1 H6 m7 r, I: Q0 |! q/ Q y2 g
4.8.8 Drill Flank is Formed by Two Planes: Generalization...............306 / {; b O6 I" _: ~2 S1 o
4.8.9 Drill Flank Angle Formed by Three Planes ...............................310
8 B6 S+ J* E) c9 B$ G% i 4.8.10 Flank Formed by Quadratic Surfaces.........................................313 8 _* T) J& p. ~
4.9 Load Over the Drill Cutting Edge .........................................................324
$ q- ^* s* c: h# n* ^$ F& q" w 4.9.1 Uncut Chip Thickness in Drilling ..............................................325 9 A3 i5 c0 D& `2 [ H0 r u
4.9.2 Load Distribution Over the Cutting Edge ..................................327
, U: M( k- F0 c% k4.10 Drills with Curved and Segmented Cutting Edges ................................328
6 w4 G* q2 p" b# q$ B8 [! [4 \ 4.10.1 Load of the Cutting Part of a Drill with Curved Cutting Edges .329 7 n4 b* w! W0 h
4.10.2 Rake Angle.................................................................................332 2 x8 Q+ d. r( E$ Z: Y
References......................................................................................................337 5 o9 E3 m" M0 i7 I9 R# A
5 Deep-hole Tools............................................................................................341 0 R( v0 t" w9 f5 B5 d1 v2 W
5.1 Introduction ...........................................................................................341 " F. }+ P1 v/ T. Q7 J1 ~$ O( @/ P
5.2 Generic Classification of Deep-hole Machining Operations.................343
! C) ~& z( T, P* \6 |! j8 J5.3 What Does ‘Self-piloting Tool’ Mean? .................................................345
9 v( ~2 \9 M! n/ w& ]! f& P( F 5.3.1 Force Balance in Self-piloting Tools..........................................345
' U% f q5 J0 L5.4 Three Basic Kinematic Schemes of Drilling .........................................350
5 a3 O7 I" C2 h) N7 F 5.4.1 Gundrill Rotates and the Workpiece is Stationary .....................351
% D/ ?) C# x' j, ^ 5.4.2 Workpiece Rotates and the Gundrill is Stationary .....................352 " C( M9 ^5 S; {# {! E
5.4.3 Counterrotation ..........................................................................352 2 P% l1 T( U3 D+ U. K. l$ R4 f; h
5.5 System Approach ..................................................................................353 v6 H: G7 I, Y2 U7 t2 ?$ j( L
5.5.1 Handling Tool Failure ................................................................353
% ~4 F3 E" I1 |3 B7 e: | 5.5.2 System Considerations ...............................................................354
, V- c% s/ f1 v7 e; t: L5.6 Gundrills................................................................................................362
# W2 T% ], ^5 B7 T1 P8 ?. T 5.6.1 Basic Geometry..........................................................................362 " @2 N( }+ ~: N2 E0 C; T, {( T
5.6.2 Rake Surface ..............................................................................365
& |' S8 q. {8 f2 r& T 5.6.3 Geometry of Major Flanks .........................................................370
) p: \; \4 e: v3 P4 a 5.6.4 System Considerations in Gundrill Design ................................390
3 @7 o) X% l( H5.6.5 Examplification of Significance of the High MWF Pressure 6 i8 }5 g/ E# \$ v/ ^
in the Bottom Clearance Space ..................................................423
: M8 p& I* K) [8 X2 H, s3 j 5.6.6 Example of Experimental Study ................................................425 / h3 {, `0 O, b7 d' Z
5.6.7 Optimization of Tool Geometry.................................................439
( }2 O3 K$ g# V! g5 n3 F: R1 nReferences......................................................................................................440
" `* b3 z0 v# S6 HAppendix A * \/ L6 A) z7 F
Basic Kinematics of Turning and Drilling.......................................................443
! N2 ^5 n- j& A9 A5 U* G$ cA.1 Introduction ...........................................................................................443 & w6 u- K, j0 U' k1 x) j+ n
A.2 Turning and Boring ...............................................................................444
. q. ^8 g Z. N+ c1 ]+ B A.2.1 Basic Motions in Turning...........................................................444
/ b5 w3 a! p7 x1 b) w. r A.2.2 Cutting Speed in Turning and Boring ........................................448
4 i! |9 S! V5 A* l' V A.2.3 Feed and Feed Rate ....................................................................448 & F/ O+ o# ]6 R6 R! Z( {( ?, ~
A.2.4 Depth of Cut...............................................................................449
& L! T/ H$ a" S5 E; H2 \ A.2.5 Material Removal Rate ..............................................................449 9 d# |7 @3 P! k# b2 \* S
A.2.6 Resultant Motion........................................................................450
/ @+ m9 P% R0 D+ g: }A.3 Drilling and Reaming ............................................................................450 , [1 d# ]! y! ]1 Y0 m
A.3.1 Basic Motions in Drilling...........................................................450
& a* w: Y4 ` ]9 ] A.3.2 Machining Regime.....................................................................451
, x; `4 N' E: WA.4 Cutting Force and Power .......................................................................453 . W) Q, l0 \# |" A5 H3 ]8 D% l
A.4.1 Force System in Metal Cutting...................................................453
3 _. i0 ~4 t% k/ D2 S A.4.2 Cutting Power ............................................................................454 7 e2 W! X8 U) U* V
A.4.3 Practical Assessment of the Cutting Force.................................455 5 T8 K# f+ |4 d/ R4 A
References......................................................................................................461
" I y# B+ |$ \7 w% K; Q, G. NAppendix B ! W5 Z) S' y( G4 E
ANSI and ISO Turning Indexable Inserts and Holders.................................463 3 g/ {4 [5 W* T* F0 n, D" ]
B.1 Indexable Inserts ...................................................................................463
/ E/ [5 a: X# ]0 H2 |# E6 a B.1.1 ANSI Code .................................................................................464
& B% ]: b2 |) d* } B.1.2 ISO Code....................................................................................471
' ~ y6 \+ S2 X4 i' { B.2 Tool Holders for Indexable Inserts (Single Point Tools) ......................491 ' e7 F+ _' r1 e4 F, l2 @+ q1 ]
B.2.1 Symbol for the Method of Holding Horizontally Mounted
" F4 X- J, y( Y% n4 b Insert – Reference Position (1) ..............................................................492 ; c' q6 ]2 Q0 F# A* g9 `/ l
B.2.2 Symbol for Insert Shape – Reference Position (2) .....................493 / W1 w+ m. ^9 \
B.2.3 Symbol for Tool Style – Reference Position (3) ........................493
2 u1 k M T6 e5 L* j# R: i4 ?4 c B.2.4 Letter Symbol Identifying Insert Normal Clearance –
! h, X% y5 B9 l Reference Position (4)................................................................494
- g8 G" W5 W0 _7 w B.2.5 Symbol for Tool Hand – Reference position (5) ........................494 0 m) I( K1 I5 l2 O/ Y1 @+ l, o4 n
B.2.6 Symbol for Tool Height (Shank Height of Tool Holders
& @! l }) a; X# b: o8 h* o and Height of Cutting Edge) - Reference Position (6) ...............494 l9 H3 O3 }! h, U+ @' X& Q: i
B.2.7 Number Symbol Identifying Tool Holder Shank Width – 2 Z1 d7 a' E2 F3 a! _1 X6 ~% t7 V
Reference Position (7)................................................................495 5 _/ K" r' E5 X2 s) c* P
B.2.8 Number Symbol Identifying Tool Length – . v5 a: t: H9 W! o- o8 I: v ~
Reference Position (8)................................................................495
/ C; \3 _0 y3 n& w/ u0 v B.2.9 Letter Symbol Identifying Indexable Insert Size – & H4 h O$ q7 q
Reference Position (9)................................................................497 ' ?' ]+ C6 v2 I, v
Appendix C
3 |% _2 _/ O- a M& }" vBasics of Vector Analysis ..................................................................................499
" G2 x4 d' S' s( ^. Z9 jC.1 Vectors and Scalars ...............................................................................499 ) k7 C# a. i1 R& J ^ m( n4 W
C.2 Definition and Representation...............................................................500
5 |' r, N: v, V/ t' E C.2.1 Definitions..................................................................................500
, \1 M- D0 W) N5 s7 |, V2 n( l5 K C.2.2 Basic Vector Operations ............................................................503 # n# E: l% X+ A/ i
C.3 Application Conveniences.....................................................................509
# O3 I+ z6 i! F2 j, a; o5 |4 QC.4 Rotation: Linear and Angular Velocities...............................................511
# ~ E' O% o7 c; W1 T C.4.1 Planar Linear and Angular Velocities ........................................511
( B7 z; X5 x% t5 l C.4.2 Rotation: The Angular Velocity Vector .....................................515 - m# `# B# s: ^: t0 O3 S
References ...........................................................................................................518
9 d& C2 H9 K5 E& ?9 [! AAppendix D ' k! Y8 Z& m& j' P! `/ k
Hydraulic Losses: Basics and Gundrill Specifics............................................519
( E( t( N+ _1 z+ U8 x; _: MD.1 Hydraulic Pressure Losses – General ....................................................519
s- ]" X1 j! f9 |: L$ r! H D.1.1 Major Losses: Friction Factor ....................................................520 % L4 r; [% h8 V
D.1.2 Minor Losses (Losses Due to Form Resistance) ........................521
; y/ G( M4 Z/ I' D2 E D.2 Concept of the Critical MWF Velocity and Flow Rate .........................521 , G5 A: G" T6 I- c. s! u
D.2.1 MWF Flow Rate Needed for Reliable Chip Transportation.......522 : J* L+ o) {0 D9 B+ ]/ Z5 O/ }$ b
D.2.3 Example D.1...............................................................................527
" G" H: y+ o6 b& X- o# O2 y; A* ]D.3 Inlet MWF pressure...............................................................................528
% k& w# C0 C0 c* t) w( g; xD.4 Analysis of Hydraulic Resistances ........................................................532 : S0 Y: l, M7 B9 o3 Q
D.4.1 Analysis of Hydraulic Resistances Over Which the Designer
% K8 l1 F6 F4 ?0 U Has No or Little Control ............................................................532
+ K2 \) M% c) a- A& m+ Z1 S' @% | D.4.2 Variable Resistances Over Which the Designer Has Control ....535
0 t- W7 C/ F/ n; ]/ k8 e* KD.5 Practical Implementation in the Drill Design ........................................539
4 V" ~4 o; G. j" }7 P( P% \3 QReferences ..........................................................................................................543 & J- y5 j6 F* ]2 w1 l* O! d
Appendix E ' t+ O3 D' ?; w' T; Q f, S
Requirements and Examples of Cutting Tool Drawings................................545 ) x: t* P2 `( E' [- l% {
E.1 Introduction ...........................................................................................545 : L" \* |; {- |, k$ O; u1 R$ L9 L& k
E.2 Tool Drawings – the Existent Practice ..................................................546
( s0 B/ r) A8 C% jE.3 Tool Drawing Requrements ..................................................................548 / E* e, g1 h% _% T! G
E.4 Examples of Tool Drawing ...................................................................553
2 |# {$ u3 v9 _. d1 k' |8 [( C% h MReferences ..........................................................................................................559
; |. _7 X5 r0 ^8 L" ~+ QIndex…………………………………………………………………………….561 : h# c" B8 D; F0 j" i3 A. N1 R
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