1 What Does It Mean “Metal Cutting”? ...........................................................1
9 O5 t3 `+ M: V2 v- ]1.1 Introduction ...............................................................................................1
! o. [4 |7 [9 I# o( i1.2 Known Results and Comparison with Other Forming Processes ..............2 2 S1 T P$ K/ D) Y
1.2.1 Single-shear Plane Model of Metal Cutting ...................................2
: Y( a+ V! C8 v9 q5 c' c 1.2.2 Metal Cutting vs. Other Closely Related Manufacturing : k1 m/ a- A; [) U& ^
Operations .................................................................................................5 0 W/ b, s/ h) e
1.3 What Went Wrong in the Representation of Metal Cutting?...................22 ! n- h8 U. X2 W7 Z" F& j
1.3.1 Force Diagram..............................................................................23 1 z$ b2 O T) x
1.3.2 Resistance of the Work Material in Cutting.................................25 : Q& d3 I+ p+ a$ o
1.3.3 Comparison of the Known Solutions for the Single-shear + t, S' ]; t3 g' s2 U7 [
Plane Model with Experimental Results .................................................27 - H9 R! l5 Z! ?; W, i* T
1.4 What is Metal Cutting?............................................................................28
9 e6 U- S: @4 ~: E! ~, { 1.4.1 Importance to Know the Right Answer........................................28 : Y' ^$ B4 h5 F0 Q! S# I. Z0 I
1.4.2 Definition .....................................................................................28 * G7 n. @) _6 c4 P/ k& H( g
1.4.3 Relevance to the Cutting Tool Geometry.....................................29 6 U b9 K& F0 x0 h+ {
1.5 Fundamental Laws of Metal Cutting.......................................................32 {! n" b' c7 V* g I) N
1.5.1 Optimal Cutting Temperature – Makarow’s Law........................32
8 Q, }) w9 ^8 B4 {. G+ j1 h: ~ 1.5.2 Deformation Law.........................................................................35
# a7 Y# X7 g( ?2 i( C- K/ ZReferences........................................................................................................50
& E/ m. } z/ [# E7 Q 2 Basic Definitions and Cutting Tool Geometry, 2 g) Z7 y! i; o4 A/ F# e* }
Single Point Cutting Tools ............................................................................55 - Q' {* I, V7 F+ \1 A. q4 ]
2.1 Basic Terms and Definitions ...................................................................55
) k( |$ A o6 g/ ] 2.1.1 Workpiece Surfaces.......................................................................57 # Z" ^. M% y8 _$ D, D5 |
2.1.2 Tool Surfaces and Elements ..........................................................57 0 d1 z, Q" l r% W9 M& u9 E
2.1.3 Tool and Workpiece Motions.......................................................57
8 ]" c6 G5 _" h- I% ] 2.1.4 Types of Cutting ............................................................................58 % e5 m! y# t) _) Y# S
2.2 Cutting Tool Geometry Standards...........................................................60 + y- k' w1 \6 H: T2 s
2.3 Systems of Consideration of Tool Geometry ..........................................61 ! V6 {! l' y+ e! @/ x/ I
2.4. Tool-in-hand System (T-hand-S) .......................................................64
/ b4 }4 Z7 R S, P! y$ p 2.4.1 Tool-in-hand Coordinate System.................................................64
( o, i) J2 M; X2 x7 m$ [ 2.4.2 References Planes ........................................................................66
6 D: P4 ~' j( [3 A 2.4.3 Tool Angles..................................................................................68 / D7 L: m0 P: x' s; Q
2.4.4 Geometry of Cutting Tools with Indexable Inserts ......................74
9 N1 l4 {! o, x5 r/ J2.5 Tool-in-machine System (T-mach-S)......................................................84 , d" B3 b& l+ A: P, g: ^
2.5.1 Angles ..........................................................................................84
6 N) [$ s6 k/ |9 o+ M! H 2.5.2 Example 2.3 .................................................................................88
) |# \/ D. l4 M7 I6 E2.6 Tool-in-use System (T-use-S) .................................................................90
1 `! V5 s; ] N" B0 n 2.6.1 Reference Planes ..........................................................................91
1 \# h4 l' M0 l, Y1 A, O3 @ 2.6.2 The Concept .................................................................................92 S4 q$ Y1 R* O+ ` ?$ A! L) E. i
2.6.3 Modification of the T-hand-S Cool Geometry .............................92
2 e0 ^# X8 v3 }1 [ 2.6.4 Kinematic Angles.........................................................................98 & e- x* E* o: w; {. u
2.6.5 Example 2.4 ...............................................................................100 # }7 w8 }2 L' o
2.7 Avalanched Representation of the Cutting Tool Geometry $ r- F L- Q, m1 ]
in T-hand-S............................................................................................102
1 }9 P/ a) `7 B& F6 z- `4 h 2.7.1 Basic Tool Geometry .................................................................102
& V& z% s' ?3 B; B6 S$ @. c2.7.2 Determination of Cutting Tool Angles Relation
* ^6 D3 b: n. e8 w6 U$ Q for a Wiper Cutting Insert ..........................................................108 5 D5 J8 t5 h4 V
2.7.3 Determination of Cutting Tool Angles
9 X2 {' B8 M* c6 k for a Single-point Tool ...............................................................110
5 ?/ t: T( i1 v- i- V 2.7.4 Flank Angles of a Dovetail Forming Tool .................................117 5 m) B# j# j% {' g
2.7.5 Summation of Several Motions..................................................119
3 {3 |; E5 \) P& u k6 b$ R: Y7 NReferences......................................................................................................125
Z, u: k5 k. t- [' T0 b, Y1 N3 Fundamentals of the Selection of Cutting Tool Geometry Parameters...127
" s/ `4 e/ R2 F; k5 F% W& W3.1 Introduction ...........................................................................................127
/ @* l* o h5 v& @. ^' F9 [) U3.2 General Considerations in the Selection of Parameters 3 x5 c6 }% _2 u9 U% p1 q
of Cutting Tool Geometry .....................................................................129
$ W t- j! e4 [8 c4 _% p/ B8 H& s 3.2.1 Known Results .............................................................................129 0 g) P9 z. p" J; r, |% {+ S
3.2.2 Ideal Tool Geometry and Constrains............................................130 6 E) R, K" a* Y3 F3 Q, v7 N
3.2.3 Practical Gage for Experimental Evaluation of Tool Geometry...132 , f6 } ~" T! |$ N7 i/ M
3.3 Tool Cutting Edge Angles .....................................................................132
& {0 `% d0 O$ l: p1 {; K 3.3.1 General Consideration................................................................132 : R/ u' D, F. Y" r9 H
3.3.2 Uncut ChipT in Non-free Cutting ..............................................134
7 T7 M$ F9 s* R* p0 Q) h 3.3.3 Influence on the Surface Finish..................................................142 ( }6 r" F8 r3 q, Q
3.3.4 Tools with κr > 90°.....................................................................144 7 c; R; z3 h Q4 \
3.3.5 Tool Minor Cutting Edge Angle ................................................147 # s0 O7 m( U# n: M+ |( H
3.4. Edge Preparation ...................................................................................161 + S% P% J2 e/ {1 v
3.4.1 General .......................................................................................161 + h9 A0 q, i% \* Y0 j
3.4.2 Shape and Extent........................................................................163 % ~# L' `, d8 f- D0 Y
3.4.3 Limitations .................................................................................163 & Q# y5 [ u2 B4 A3 p; h& H1 ]
3.4.4 What Edge Preparation Actually Does.......................................169
1 e N- X1 e- p3.5 Rake Angle............................................................................................171
8 C+ w- j2 ^: \% e6 Z 3.5.1 Introduction................................................................................171
# M! O& M% c( L* Z" h, L 3.5.2 Influence on Plastic Deformation and Generazliations ..............175
, ^, K4 R* R5 H) T 3.5.3 Effective Rake Angle .................................................................183 " r4 p6 ~0 Y2 }6 ~
3.5.4 Conditions for Using High Rake Angles....................................189 2 u5 P! d: }; V) k A. j: Z! e6 E
3.6 Flank Angle ...........................................................................................191 6 k4 W% K5 ^$ {# `+ i
3.7 Inclination Angle...................................................................................193
6 \( p$ o# e; V" m 3.7.1 Turning with Rotary Tools.........................................................195
; \7 @+ P- ]- W" T1 g- o 3.7.2 Helical Treading Taps and Broaches..........................................197 4 K) o" b6 R7 |+ k
3.7.3 Milling Tools..............................................................................198 + _% W9 v5 v$ u8 }, @2 o r
References......................................................................................................201 7 D' _! [: E- }, e% j0 E0 @
4 Straight Flute and Twist Drills ...................................................................205 6 S! @% ]2 J* t' E7 [
4.1 Introduction ...........................................................................................205
/ C( X2 p1 Z+ l: N3 ^1 Z$ e4 a4.2 Classification.........................................................................................206 0 T/ s! ~7 m2 D9 z7 Z) z) W
4.3 Basic Terms...........................................................................................208 `2 K9 s1 u; N; D9 ~
4.4 System Approach ..................................................................................211 $ ~" A: {0 o/ ]1 z7 A
4.4.1 System Objective .......................................................................212 ; x, ^" L4 y9 F! C2 F, ^
4.4.2 Understanding the Drilling System............................................212
+ Q6 M0 W1 \- ~ Y 4.4.3. Understanding the Tool..............................................................212
! g$ e: N$ Q% i+ A' ~& |4 |7 D) n( w4.5. Force System Constrains on the Drill Penetration Rate ........................213
, z" Q3 Q% K/ ]# c; j* v$ x+ z 4.5.1 Force-balance Problem in Conventional Drills ..........................213
/ s# M# Z8 D( G. L/ R0 J4 O; | 4.5.2 Constrains on the Drill Penetration Rate....................................218
; ?$ H3 K1 W; A; p5 T3 B 4.5.3 Drilling Torque ..........................................................................219 L4 T- I0 P z* _& D
4.5.4 Axial Force.................................................................................220
a9 c5 L- z4 ]/ S 4.5.5 Axial Force (Thrust)-torque Coupling .......................................221
& L3 A5 X& s8 Q. i4.6 Drill Point ..............................................................................................223
. t7 Q1 T9 U0 v: B) m 4.6.1 Basic Classifications ..................................................................223 8 O( E2 N E# J# k2 U( B
4.6.2 Tool Geometry Measures to Increase the Allowable
9 r% \+ [/ x$ P4 r! R Penetration Rate ....................................................................................224
- E; \: v6 [6 @9 L+ B4.7 Common Design and Manufacturing Flaws..........................................259 . T1 w! ? U2 ~3 f$ i0 l' m
4.7.1 Web Eccentricity/ Lip Index Error.............................................260
, t Q/ ~+ g1 b) p# [+ {3 L 4.7.2 Poor Surface Finish and Improper Tool Material/Hardness.......261 8 T9 p; @( }* I) Y
4.7.3 Coolant Hole Location and Size.................................................263
' m1 `/ A9 t2 q" f- x8 `4.8 Tool Geometry ......................................................................................267
$ G$ V9 h* F% `; Z0 u 4.8.1 Straight-flute and Twist Drills Particularities............................269 ) @7 y; J' w" Z4 f$ Z8 ]6 m$ N
4.8.2 Geometry of the Typical Drill Point ..........................................270
1 _9 `7 U c5 w5 | 4.8.3 Rake Angle.................................................................................272 ( ~! z0 j6 {1 Z" \9 n! h2 A
4.8.4 Inclination Angle .........................................................................280
7 e# `2 t4 T2 ~: x/ d' ~( h' j 4.8.5 Flank Angle................................................................................281
: i" N, Q) n; X. f& v3 u 4.8.6 Geometry of a Cutting Edge Located at an Angle
; ~8 r/ I& K% D( j3 J/ w to the y0-plane ............................................................................292
. Y) O0 i" N/ H- C+ q m3 F7 Q 4.8.7 Chisel Edge ................................................................................295
7 ?0 N2 m9 Z6 e9 ?3 n+ ^ 4.8.8 Drill Flank is Formed by Two Planes: Generalization...............306 & b1 X o; l1 R: T
4.8.9 Drill Flank Angle Formed by Three Planes ...............................310
; L5 g5 v* A: `6 @3 u6 i% u4 `+ R 4.8.10 Flank Formed by Quadratic Surfaces.........................................313 ' s1 w( |5 d$ A/ y# s6 n
4.9 Load Over the Drill Cutting Edge .........................................................324
' M1 W6 ]! ]' s# W 4.9.1 Uncut Chip Thickness in Drilling ..............................................325
/ e: N+ _# `& C Y 4.9.2 Load Distribution Over the Cutting Edge ..................................327 ; h9 p7 a% H9 L" Z' S
4.10 Drills with Curved and Segmented Cutting Edges ................................328
/ l2 S4 |3 D4 i0 q. `/ N1 x, o 4.10.1 Load of the Cutting Part of a Drill with Curved Cutting Edges .329
( s- g6 @, F3 {/ f* M 4.10.2 Rake Angle.................................................................................332 5 ]& \8 ~9 W& N" V4 @
References......................................................................................................337 " Z6 I* z B' l5 t" k2 C! v* T
5 Deep-hole Tools............................................................................................341
5 y1 H& w7 P, P/ T! x5.1 Introduction ...........................................................................................341
- |7 U6 d7 ^+ x9 s; _+ k) P2 C5.2 Generic Classification of Deep-hole Machining Operations.................343 7 J! H* p2 y5 X( l- c) C
5.3 What Does ‘Self-piloting Tool’ Mean? .................................................345
% t+ R* O- D: X( D 5.3.1 Force Balance in Self-piloting Tools..........................................345
. \6 M. ?+ z+ ]! @/ e9 {5.4 Three Basic Kinematic Schemes of Drilling .........................................350 + [* ~- x% j% p- m/ ~" ^. D
5.4.1 Gundrill Rotates and the Workpiece is Stationary .....................351 % k3 J) N( S) |$ L5 L
5.4.2 Workpiece Rotates and the Gundrill is Stationary .....................352
5 F2 K3 V+ G$ q) L" t9 @0 f- j/ i 5.4.3 Counterrotation ..........................................................................352 ) E% c" T: A; G- P
5.5 System Approach ..................................................................................353
% n$ J/ p* U; r# N 5.5.1 Handling Tool Failure ................................................................353
: O' e3 G8 X' M' H 5.5.2 System Considerations ...............................................................354 + [) \% L" j7 [3 t
5.6 Gundrills................................................................................................362 # J0 K) a7 ^! w! @% i
5.6.1 Basic Geometry..........................................................................362
T- L4 n, k/ X3 S7 ] 5.6.2 Rake Surface ..............................................................................365 # @1 I3 P, m( n# t
5.6.3 Geometry of Major Flanks .........................................................370
3 I1 D1 x+ ~' [0 e% s" }4 k 5.6.4 System Considerations in Gundrill Design ................................390
0 S! e$ J6 V% u8 O, s5.6.5 Examplification of Significance of the High MWF Pressure 0 f* \' w! O% _+ H! ?2 v+ E
in the Bottom Clearance Space ..................................................423 ; c; B* e2 q& e1 S( }- p
5.6.6 Example of Experimental Study ................................................425 * p5 T8 P( @7 ?# _+ b' ^
5.6.7 Optimization of Tool Geometry.................................................439 8 u) k* k$ Y9 E/ u
References......................................................................................................440 ) N- y2 e3 Z5 d V; j3 i
Appendix A ( t. l2 h$ N+ }7 Y3 l; J5 ~0 h
Basic Kinematics of Turning and Drilling.......................................................443
1 v" B$ ?9 d+ dA.1 Introduction ...........................................................................................443
$ w6 {; w% d5 j+ n M& W2 oA.2 Turning and Boring ...............................................................................444 9 ^9 R, F4 S* x7 G8 F; T& ]$ P
A.2.1 Basic Motions in Turning...........................................................444 ) P. ^6 x8 s6 U1 } [% I! N; [
A.2.2 Cutting Speed in Turning and Boring ........................................448
( j' J2 w. P7 U' m9 \ A.2.3 Feed and Feed Rate ....................................................................448 ( _; o. j, p3 n0 H4 O
A.2.4 Depth of Cut...............................................................................449
# ^- E. y* S J d A.2.5 Material Removal Rate ..............................................................449 4 v5 [; {9 z9 U" r/ U: j$ [5 _9 U
A.2.6 Resultant Motion........................................................................450
# o, J# P; R5 kA.3 Drilling and Reaming ............................................................................450 1 k! V. j! ?! [
A.3.1 Basic Motions in Drilling...........................................................450 ' A+ s* H' @ e% F- Q# S9 E
A.3.2 Machining Regime.....................................................................451
# i5 ?2 [$ ^" ^& |! I& M- G% K4 [: d: ~A.4 Cutting Force and Power .......................................................................453
5 X$ O( K) |# a( i' C A.4.1 Force System in Metal Cutting...................................................453
9 Q5 B- r& @7 X( T5 Q, p A.4.2 Cutting Power ............................................................................454
4 v7 i+ C$ N" Z8 t* m3 F7 o A.4.3 Practical Assessment of the Cutting Force.................................455
& Q2 t7 a n) R$ YReferences......................................................................................................461
* q0 a( t1 g0 y) t# F5 e+ T9 y+ B$ VAppendix B % h2 d+ O) M" b( D. ^# x' N
ANSI and ISO Turning Indexable Inserts and Holders.................................463
3 H3 A' W8 x7 r1 C5 |B.1 Indexable Inserts ...................................................................................463
+ q" i7 b, q j! X) O5 Y B.1.1 ANSI Code .................................................................................464 7 Y& P% D! r/ N6 @0 S% ]9 Y
B.1.2 ISO Code....................................................................................471
3 r9 }' x( s4 @# O B.2 Tool Holders for Indexable Inserts (Single Point Tools) ......................491 8 U' [" d- |8 r! W- b( o
B.2.1 Symbol for the Method of Holding Horizontally Mounted * k9 l4 s7 i+ @3 a$ L* `4 X3 f
Insert – Reference Position (1) ..............................................................492
8 a2 e% E- y! T B.2.2 Symbol for Insert Shape – Reference Position (2) .....................493
- R8 I8 L- M) H% i# S p+ m B.2.3 Symbol for Tool Style – Reference Position (3) ........................493
' Y+ @; r' q* Z7 ?- n" I1 B B.2.4 Letter Symbol Identifying Insert Normal Clearance – * D! C$ P/ r R% x3 s: a) f' h
Reference Position (4)................................................................494 & O5 J! @% F. ]7 i4 c( ^7 R" F/ _
B.2.5 Symbol for Tool Hand – Reference position (5) ........................494 / L% A/ H1 X2 w. D$ G
B.2.6 Symbol for Tool Height (Shank Height of Tool Holders
; |( O/ x) L$ [7 a3 X and Height of Cutting Edge) - Reference Position (6) ...............494
2 u4 O6 G6 ?: ~$ k B.2.7 Number Symbol Identifying Tool Holder Shank Width – 6 o& O5 G/ b! ]' N, ?$ ]! Y
Reference Position (7)................................................................495
# N8 X$ s7 S6 v' E B.2.8 Number Symbol Identifying Tool Length –
7 D" F7 P$ @8 I4 l4 F Reference Position (8)................................................................495
' I- D+ O4 y" N4 y B.2.9 Letter Symbol Identifying Indexable Insert Size – : ~0 f: C' `2 D4 V
Reference Position (9)................................................................497 " y1 X( n- b6 S& \# Z* Q
Appendix C ! f: _3 Q7 ~ r% T! C2 e- i6 k6 U
Basics of Vector Analysis ..................................................................................499
) I. g5 v9 E# l, N" TC.1 Vectors and Scalars ...............................................................................499 # n- z. q/ u+ P2 `9 e" _$ l
C.2 Definition and Representation...............................................................500
+ X3 Y! H2 C& `' {9 Q8 K C.2.1 Definitions..................................................................................500 % |, m6 M) [% v) c/ S$ @
C.2.2 Basic Vector Operations ............................................................503
! m7 s8 M; A) }& [3 IC.3 Application Conveniences.....................................................................509
" w- i, N& N4 y! AC.4 Rotation: Linear and Angular Velocities...............................................511 2 y% z' ~2 m7 F& L1 |, l9 a5 M5 s
C.4.1 Planar Linear and Angular Velocities ........................................511 ' f/ G0 u0 Z: {7 \0 J1 W
C.4.2 Rotation: The Angular Velocity Vector .....................................515
$ [% B, V3 K- }9 D& v8 V1 z! W1 vReferences ...........................................................................................................518
4 ^1 w, B/ U# e6 G% OAppendix D
+ E- t) p' R7 I. ^4 Y! |3 t; RHydraulic Losses: Basics and Gundrill Specifics............................................519
( ~+ J2 Z# w; G, K+ M2 g1 tD.1 Hydraulic Pressure Losses – General ....................................................519 ! Y. ]1 _+ d9 h* l: j5 P
D.1.1 Major Losses: Friction Factor ....................................................520
/ w8 [( Q& D3 x3 e1 V D.1.2 Minor Losses (Losses Due to Form Resistance) ........................521
7 u- y, A4 J( F' m; \ D.2 Concept of the Critical MWF Velocity and Flow Rate .........................521
* t1 v: M2 p, R! R D.2.1 MWF Flow Rate Needed for Reliable Chip Transportation.......522
% m! C5 }1 B/ @4 H1 j% l5 _ D.2.3 Example D.1...............................................................................527 - ]4 g% f9 a, J- G- G# o. D1 A
D.3 Inlet MWF pressure...............................................................................528
/ F2 f3 c- g9 P9 AD.4 Analysis of Hydraulic Resistances ........................................................532
( U* L0 x* i3 X! t4 ~& E- [( L! ]/ ?1 ~ D.4.1 Analysis of Hydraulic Resistances Over Which the Designer
# Q: ]4 k. r6 M Has No or Little Control ............................................................532
- D+ J% p+ C+ E2 D# J7 [ D.4.2 Variable Resistances Over Which the Designer Has Control ....535
' `% i, b0 v1 R/ l& h$ JD.5 Practical Implementation in the Drill Design ........................................539 9 b/ ?" a& k; G5 @2 Y$ g
References ..........................................................................................................543
; X4 S* Y/ c6 M% w- e1 {Appendix E 6 X# h) N+ X/ p0 s t. t! ]" d
Requirements and Examples of Cutting Tool Drawings................................545
4 w4 n' K$ |. S. CE.1 Introduction ...........................................................................................545 6 `( w8 T( h+ N2 V( |% K; O9 W+ Y
E.2 Tool Drawings – the Existent Practice ..................................................546
! S0 O7 u" ^6 i3 J% k" DE.3 Tool Drawing Requrements ..................................................................548 " L! J, J; g/ n8 X* t% y
E.4 Examples of Tool Drawing ...................................................................553
, c9 L- H* g+ O( mReferences ..........................................................................................................559 1 w& [* t8 w$ k3 ] X5 a
Index…………………………………………………………………………….561 4 F. E2 N. R4 ^/ v9 C1 K1 F/ }8 [
, i- A' ~5 w* i( F d( k + ~2 n! f0 k) r( i* c& k# J; Y
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