1 What Does It Mean “Metal Cutting”? ...........................................................1 + u$ z+ g: Z' j4 v- o
1.1 Introduction ...............................................................................................1 6 S: [2 _- j) D$ A, m' f
1.2 Known Results and Comparison with Other Forming Processes ..............2
" v3 J! H. l# H/ d5 R* A# V 1.2.1 Single-shear Plane Model of Metal Cutting ...................................2
1 g; k- Y9 ~) E9 q5 ] 1.2.2 Metal Cutting vs. Other Closely Related Manufacturing
. t! p; z; r% n6 x8 L Operations .................................................................................................5
) N2 F3 H' {3 e1 ?* Q" Z2 V: c$ i) g1.3 What Went Wrong in the Representation of Metal Cutting?...................22
& u: w% l1 P8 Q2 J 1.3.1 Force Diagram..............................................................................23
7 {! f8 G W* H9 U q 1.3.2 Resistance of the Work Material in Cutting.................................25 - K& b7 t- l" @0 B. _! c
1.3.3 Comparison of the Known Solutions for the Single-shear ' Q7 N% C9 z/ C L/ M* w/ @* x
Plane Model with Experimental Results .................................................27 . I9 {" `2 X3 Y
1.4 What is Metal Cutting?............................................................................28
) d# R, w+ K5 B% { J" B 1.4.1 Importance to Know the Right Answer........................................28 & N* f8 g3 w- z0 v% I0 F
1.4.2 Definition .....................................................................................28 , v; U7 o1 _7 w* a0 G- q0 B2 {" J
1.4.3 Relevance to the Cutting Tool Geometry.....................................29 9 F( t, K) g7 E# }/ C
1.5 Fundamental Laws of Metal Cutting.......................................................32
* H0 a, q n$ S+ g8 W" I 1.5.1 Optimal Cutting Temperature – Makarow’s Law........................32
6 j# w+ r4 @6 @2 o* M# B- P0 i' U+ Z 1.5.2 Deformation Law.........................................................................35 3 v: ~# d7 ?& t+ ]. O" ^5 T
References........................................................................................................50 4 E9 `# d/ C3 a, U
2 Basic Definitions and Cutting Tool Geometry, 2 J1 `; B( v) M# I7 |+ D* m$ e# F O
Single Point Cutting Tools ............................................................................55
0 X* P6 x$ b0 j; [" F2.1 Basic Terms and Definitions ...................................................................55 I& i0 d5 r( F
2.1.1 Workpiece Surfaces.......................................................................57 " y" U' o' M& k/ o1 M' I: ]+ [
2.1.2 Tool Surfaces and Elements ..........................................................57 ) L6 Z% F* [0 c; \
2.1.3 Tool and Workpiece Motions.......................................................57 , b0 M8 S+ `3 y; H) [
2.1.4 Types of Cutting ............................................................................58
6 H9 P0 R+ F! [ ]2.2 Cutting Tool Geometry Standards...........................................................60 % u! J P3 @. L/ t
2.3 Systems of Consideration of Tool Geometry ..........................................61 ) @+ f; ]3 {/ B* k J
2.4. Tool-in-hand System (T-hand-S) .......................................................64( [) i9 j' H) m: b# E
2.4.1 Tool-in-hand Coordinate System.................................................64 & N3 k3 S( \( a( ]/ z
2.4.2 References Planes ........................................................................66
3 G$ F- v8 a+ k1 L( S7 s 2.4.3 Tool Angles..................................................................................68
7 R1 e1 A$ [ w2 o$ D, o 2.4.4 Geometry of Cutting Tools with Indexable Inserts ......................74 0 X( J; x& E# G2 m5 `4 l* L
2.5 Tool-in-machine System (T-mach-S)......................................................84
; G$ n# \4 R, }# H1 }3 x2 b 2.5.1 Angles ..........................................................................................84 . H0 X& s: y% Y* ]/ h5 L" ^
2.5.2 Example 2.3 .................................................................................88
0 x* }3 a$ g3 n+ O2.6 Tool-in-use System (T-use-S) .................................................................90 7 S- ]& F) ~' s7 x p! ~, y
2.6.1 Reference Planes ..........................................................................91 ( z5 J3 V4 R @2 b- @' X
2.6.2 The Concept .................................................................................92
5 g" E! g8 p' c1 T, Y2 ^9 u 2.6.3 Modification of the T-hand-S Cool Geometry .............................92
6 J2 t }: T' g6 z 2.6.4 Kinematic Angles.........................................................................98
2 G8 @ `3 s7 Z: M" ~) n; J 2.6.5 Example 2.4 ...............................................................................100 2 l/ A3 g; t+ E3 G7 t
2.7 Avalanched Representation of the Cutting Tool Geometry
1 W% V5 I/ S) a in T-hand-S............................................................................................102
$ Z' y1 m7 i1 S- ~ 2.7.1 Basic Tool Geometry .................................................................102
9 E% E/ X/ o# D, @, {2.7.2 Determination of Cutting Tool Angles Relation % y" G( f. a8 N2 E. N
for a Wiper Cutting Insert ..........................................................108
$ J1 ^- p- E% X. t3 x( B0 G 2.7.3 Determination of Cutting Tool Angles
( I& P* n5 _' u5 z" ] for a Single-point Tool ...............................................................110 ! z v* Q9 o- A& U$ M8 r
2.7.4 Flank Angles of a Dovetail Forming Tool .................................117 6 Q+ C; v& K8 E0 g, t. Q
2.7.5 Summation of Several Motions..................................................119 & B- `! K( R# A- Y- h
References......................................................................................................125 1 H1 c( i. I, e: @: Z* Q8 O
3 Fundamentals of the Selection of Cutting Tool Geometry Parameters...127 ' f6 e' l Y2 O
3.1 Introduction ...........................................................................................127 5 z! ?; ^4 }" S
3.2 General Considerations in the Selection of Parameters - X* u) f9 H; |& J
of Cutting Tool Geometry .....................................................................129
8 h7 Q0 E8 e q0 [5 A6 t. S: | 3.2.1 Known Results .............................................................................129 . W1 N! @- r9 n2 T( b% a
3.2.2 Ideal Tool Geometry and Constrains............................................130
5 w2 n2 ~- b a: l. I 3.2.3 Practical Gage for Experimental Evaluation of Tool Geometry...132 0 K+ {0 u1 Q( O. s3 k; Z
3.3 Tool Cutting Edge Angles .....................................................................132
" o( A" X2 v2 o/ l; L 3.3.1 General Consideration................................................................132 . y% \0 F4 X% m6 A3 Z4 ^' u0 B
3.3.2 Uncut ChipT in Non-free Cutting ..............................................134 : Z" m$ v8 P$ L# S! k0 X, L, W+ @
3.3.3 Influence on the Surface Finish..................................................142 ! k# Q0 W7 D( |# O% t# R* N
3.3.4 Tools with κr > 90°.....................................................................144 $ F% p/ a6 V7 Y, ~& x% t3 @
3.3.5 Tool Minor Cutting Edge Angle ................................................147
8 v8 I: t, m3 A6 I" _ `* m' b3.4. Edge Preparation ...................................................................................161
8 r* X0 W. K0 b. |% ~# ~0 b3 N 3.4.1 General .......................................................................................161 . s# G) r, w9 B
3.4.2 Shape and Extent........................................................................163
% y1 D4 L; I3 p 3.4.3 Limitations .................................................................................163 % s+ q9 P6 E/ g
3.4.4 What Edge Preparation Actually Does.......................................169
2 F o% e9 Z4 x( @* l3.5 Rake Angle............................................................................................171 ' V; y+ _( Y2 ~% h5 w
3.5.1 Introduction................................................................................171
" k3 L: L, n- ^" l 3.5.2 Influence on Plastic Deformation and Generazliations ..............175
" r- Z' j5 A9 t+ d' z# _ 3.5.3 Effective Rake Angle .................................................................183
! H2 ?& _! i; Q7 r 3.5.4 Conditions for Using High Rake Angles....................................189
- E' }" N- Y a Y- s/ E+ r* B6 c W3.6 Flank Angle ...........................................................................................191
2 @& ~, v4 K4 F7 i; e3.7 Inclination Angle...................................................................................193 ' I; N) _ a* P" W! h& C
3.7.1 Turning with Rotary Tools.........................................................195
4 x; B6 i v: {( ^ 3.7.2 Helical Treading Taps and Broaches..........................................197
) j; r* ?. W- P) r 3.7.3 Milling Tools..............................................................................198
4 T2 P- v1 E/ D+ BReferences......................................................................................................201 6 H5 i1 ~% x! W" L4 v
4 Straight Flute and Twist Drills ...................................................................205
7 f" Z, g0 g& x, @1 p4.1 Introduction ...........................................................................................205 5 e9 f3 h3 b. W. j$ O$ U
4.2 Classification.........................................................................................206 5 M& ^4 S* E) ]9 K3 l+ j
4.3 Basic Terms...........................................................................................208
/ Y' f W+ j$ l Y( S# e9 a! ]4.4 System Approach ..................................................................................211 : Q2 \* l0 W7 f# T2 H( ~
4.4.1 System Objective .......................................................................212 & {6 ?. V' x. d
4.4.2 Understanding the Drilling System............................................212 C& H# N0 K/ K- \4 y' I6 r) }
4.4.3. Understanding the Tool..............................................................212 2 P/ S$ F8 X2 r7 q1 {
4.5. Force System Constrains on the Drill Penetration Rate ........................213
: S! r: F, _4 E2 }( L* G 4.5.1 Force-balance Problem in Conventional Drills ..........................213
6 P$ w( d8 W9 {* y- n9 A 4.5.2 Constrains on the Drill Penetration Rate....................................218 * i L; [+ D! q: ?6 \
4.5.3 Drilling Torque ..........................................................................219
: I$ z4 p, G6 y. Q 4.5.4 Axial Force.................................................................................220 ! e; r& Z: Z& h/ [
4.5.5 Axial Force (Thrust)-torque Coupling .......................................221
# [; e- L/ S" p; r j9 T4.6 Drill Point ..............................................................................................223 : }1 V; ?/ K/ I/ O; l5 d/ h$ L$ g, C
4.6.1 Basic Classifications ..................................................................223 " Y' P# I/ R* M# y1 i
4.6.2 Tool Geometry Measures to Increase the Allowable 2 l, ]: U- ~6 g" u8 t& @1 H
Penetration Rate ....................................................................................224
( ]* N/ P" a5 X# Q+ ~4.7 Common Design and Manufacturing Flaws..........................................259
! Z3 l$ A9 \ R, ?/ s( B 4.7.1 Web Eccentricity/ Lip Index Error.............................................260
) J' O; z: }. `+ O( a 4.7.2 Poor Surface Finish and Improper Tool Material/Hardness.......261 7 A- C% E' q5 y; y9 P5 o3 B
4.7.3 Coolant Hole Location and Size.................................................263 0 K, ]! x* z8 a8 m% d7 m2 d9 A/ t
4.8 Tool Geometry ......................................................................................267
. F# {! t# a0 A7 _ 4.8.1 Straight-flute and Twist Drills Particularities............................269
& a+ P$ X! |8 N, B6 a9 a5 p 4.8.2 Geometry of the Typical Drill Point ..........................................270
9 u% P9 Q' T0 ^; w v2 ~6 T W; Q 4.8.3 Rake Angle.................................................................................272
" t0 D6 [, V6 H J4 w0 ^9 q 4.8.4 Inclination Angle .........................................................................280 % U6 F' N, D4 p
4.8.5 Flank Angle................................................................................281 , d4 r2 s+ l5 ~4 D. M# [" n
4.8.6 Geometry of a Cutting Edge Located at an Angle
' H* K& h( h. Y& e; r9 z to the y0-plane ............................................................................292 8 h3 A0 q+ W) O0 ]' j9 n+ ~
4.8.7 Chisel Edge ................................................................................295
& H3 k" Q; J4 O6 p a( d 4.8.8 Drill Flank is Formed by Two Planes: Generalization...............306
6 _( ^& s2 p; R+ K7 W' Z: ]- l) f 4.8.9 Drill Flank Angle Formed by Three Planes ...............................310 $ P5 H& S# n' u1 o! K2 ^; X
4.8.10 Flank Formed by Quadratic Surfaces.........................................313
, f0 `) j( R0 B1 U4.9 Load Over the Drill Cutting Edge .........................................................324 4 G6 N, ]. S+ |
4.9.1 Uncut Chip Thickness in Drilling ..............................................325
. [7 u" U; N6 \ 4.9.2 Load Distribution Over the Cutting Edge ..................................327
7 [# F+ F8 U0 ?1 L( `: w4.10 Drills with Curved and Segmented Cutting Edges ................................328
/ ^, h& ^& W+ |- p) K 4.10.1 Load of the Cutting Part of a Drill with Curved Cutting Edges .329 4 n8 h E' q7 x5 p$ t* a
4.10.2 Rake Angle.................................................................................332
2 d5 `$ i x1 V3 k! G/ V% iReferences......................................................................................................337
l# e( M& y3 p5 Deep-hole Tools............................................................................................341 % Z) ^7 N+ H' r
5.1 Introduction ...........................................................................................341 $ P7 A- o4 }) c2 C) Z' W% {
5.2 Generic Classification of Deep-hole Machining Operations.................343
( W( u7 H, b* v" f; V) a5.3 What Does ‘Self-piloting Tool’ Mean? .................................................345 : n8 r1 J- t/ I
5.3.1 Force Balance in Self-piloting Tools..........................................345 9 W& m. W( ?* D4 `
5.4 Three Basic Kinematic Schemes of Drilling .........................................350 / k4 [- t( W8 }. X
5.4.1 Gundrill Rotates and the Workpiece is Stationary .....................351 6 ~5 Y! |! Z v5 R0 b t0 M. c
5.4.2 Workpiece Rotates and the Gundrill is Stationary .....................352
( s2 l8 L, \6 K6 u 5.4.3 Counterrotation ..........................................................................352 % z, V; R( b- O% ~( u; R! g* U
5.5 System Approach ..................................................................................353 / V2 K9 F: {! M5 L1 V
5.5.1 Handling Tool Failure ................................................................353 ) ^! P( r9 R9 E2 P6 N4 g
5.5.2 System Considerations ...............................................................354 : c2 H2 a- t+ R W2 b# }
5.6 Gundrills................................................................................................362 9 [7 x2 @! S& x% K; y* J7 o
5.6.1 Basic Geometry..........................................................................362 , N* \0 J) C" b7 U. C; y* T1 }
5.6.2 Rake Surface ..............................................................................365 . F4 T$ V: ^. s1 i
5.6.3 Geometry of Major Flanks .........................................................370 $ B6 S# r: T8 [3 M2 C" U I8 q& G
5.6.4 System Considerations in Gundrill Design ................................390
( s* P$ E% F6 ]" I. U5.6.5 Examplification of Significance of the High MWF Pressure
. O# W8 K, x7 U, p2 q! [8 w5 y/ ] in the Bottom Clearance Space ..................................................423
! @. s7 J4 S$ o$ z5 s; k$ Q 5.6.6 Example of Experimental Study ................................................425 $ ]/ B3 k5 y% T6 V! H& B* R# w
5.6.7 Optimization of Tool Geometry.................................................439 5 m$ z) }3 B- _, {, [, w+ B
References......................................................................................................440
6 o* ^4 {: o' B0 j& [# t3 ?- n, W* qAppendix A - h$ h" m4 I; ^; A' D! M5 C
Basic Kinematics of Turning and Drilling.......................................................443
; k; \$ Z, \/ v& |A.1 Introduction ...........................................................................................443 % W# t9 O$ J: J! w! t. f. ^; P. [
A.2 Turning and Boring ...............................................................................444 y9 `" t3 ^. e" }3 B
A.2.1 Basic Motions in Turning...........................................................444 9 p3 k9 y1 l' \- r L3 S* ]. o9 w4 P
A.2.2 Cutting Speed in Turning and Boring ........................................448
: i3 Y; P1 N& Q4 C! S A.2.3 Feed and Feed Rate ....................................................................448
- C" m6 Z- m2 n2 W( r8 \ A.2.4 Depth of Cut...............................................................................449 - z) v. T( N& O4 L _! ]9 ]
A.2.5 Material Removal Rate ..............................................................449
% u) x. o2 x: { A.2.6 Resultant Motion........................................................................450 $ x0 r8 D' b. |# Y
A.3 Drilling and Reaming ............................................................................450 . k3 o' `: N' T: p
A.3.1 Basic Motions in Drilling...........................................................450
+ |4 i& B" u& S5 v A.3.2 Machining Regime.....................................................................451
& x- c+ T/ ]8 D5 | e/ TA.4 Cutting Force and Power .......................................................................453
' o6 V4 {+ {; w A.4.1 Force System in Metal Cutting...................................................453 % N5 G0 }$ G1 `$ |, L1 a4 P2 q
A.4.2 Cutting Power ............................................................................454
$ C. G2 Q8 N! k0 j4 m A.4.3 Practical Assessment of the Cutting Force.................................455
! C( O1 O. ?1 w( tReferences......................................................................................................461 ' G% h6 r0 S+ J* {! D
Appendix B
& R! ?# D& a4 ^2 Q1 lANSI and ISO Turning Indexable Inserts and Holders.................................463 / m' l+ M! t! n' P* h# a5 `. E/ |0 j
B.1 Indexable Inserts ...................................................................................463
1 } e* q6 Q' p7 B( R B.1.1 ANSI Code .................................................................................464 8 V) _5 V1 v$ m G
B.1.2 ISO Code....................................................................................471
4 p: X+ K P# R2 r+ S' V3 E B.2 Tool Holders for Indexable Inserts (Single Point Tools) ......................491
3 C/ V1 b; h, [, l( s U" [ B.2.1 Symbol for the Method of Holding Horizontally Mounted
H! S5 ~$ r B- C( p4 k/ f! I Insert – Reference Position (1) ..............................................................492 & |) o/ f/ r" E0 g. M6 ^
B.2.2 Symbol for Insert Shape – Reference Position (2) .....................493 g; ?0 @/ x+ a0 u: \; C$ T$ g0 m1 X
B.2.3 Symbol for Tool Style – Reference Position (3) ........................493 : p0 S9 `7 ]5 ~$ B- f
B.2.4 Letter Symbol Identifying Insert Normal Clearance – H: l% y$ Q9 T9 z0 H
Reference Position (4)................................................................494 2 t1 Z& M$ P* {
B.2.5 Symbol for Tool Hand – Reference position (5) ........................494 6 |0 I# ^+ ~: ^' d) d, o
B.2.6 Symbol for Tool Height (Shank Height of Tool Holders 0 q8 x' @0 g d: R- i
and Height of Cutting Edge) - Reference Position (6) ...............494
: X9 e' U4 D/ G: I6 v* \ B.2.7 Number Symbol Identifying Tool Holder Shank Width – 2 x$ V: j, L5 k5 O8 g, E4 f
Reference Position (7)................................................................495 7 ^3 Y. T, J( N2 i. \, `
B.2.8 Number Symbol Identifying Tool Length – % m9 C, @: u- C, {2 R* @" v B
Reference Position (8)................................................................495 ! s$ X3 t D ?7 b
B.2.9 Letter Symbol Identifying Indexable Insert Size –
( i* J6 `8 _0 ]+ x; d Reference Position (9)................................................................497 8 q8 K" [4 @5 }) V
Appendix C
. ] x$ J8 M5 JBasics of Vector Analysis ..................................................................................499
3 s# u" R3 d& jC.1 Vectors and Scalars ...............................................................................499
_9 c, }: w- _) ZC.2 Definition and Representation...............................................................500
* l3 V" j. m4 w* q% P+ o C.2.1 Definitions..................................................................................500 1 X1 r- ^& S+ a! j1 J/ b1 j) W
C.2.2 Basic Vector Operations ............................................................503 , {- y- Q$ |* q# [& i) X$ q
C.3 Application Conveniences.....................................................................509
0 C9 ~1 n; g1 T# A' s/ z( J8 m* Y1 gC.4 Rotation: Linear and Angular Velocities...............................................511
( v! Y9 r* c1 y$ \+ \. | C.4.1 Planar Linear and Angular Velocities ........................................511 + i* y* H5 }, B/ C
C.4.2 Rotation: The Angular Velocity Vector .....................................515 8 ^9 c6 l$ h! l) b7 S
References ...........................................................................................................518 ( N& L& @! ?- ^3 o
Appendix D 0 }( U4 l7 w. \2 j# |$ Q/ T$ A
Hydraulic Losses: Basics and Gundrill Specifics............................................519
. g0 s* {9 J2 ?9 d! GD.1 Hydraulic Pressure Losses – General ....................................................519
" S9 B7 M" v2 a; K0 ?0 X/ p5 K D.1.1 Major Losses: Friction Factor ....................................................520 % R' ~8 c( S' n
D.1.2 Minor Losses (Losses Due to Form Resistance) ........................521 2 B8 {; E" I- @3 M! K# T" B; N
D.2 Concept of the Critical MWF Velocity and Flow Rate .........................521
$ S* T6 V. C) {6 S% Q3 _ D.2.1 MWF Flow Rate Needed for Reliable Chip Transportation.......522 7 I+ f+ ?, g* i- o6 G0 k" {
D.2.3 Example D.1...............................................................................527
) g1 v8 V# z* t4 F, M) a1 PD.3 Inlet MWF pressure...............................................................................528
* M3 c# P. M$ {5 _% p% c! |4 ID.4 Analysis of Hydraulic Resistances ........................................................532 1 m' q+ q" A) P; R
D.4.1 Analysis of Hydraulic Resistances Over Which the Designer
. ^0 h0 L; f- ?9 g- E+ b1 ] Has No or Little Control ............................................................532
. C x4 A3 W$ L i% | D.4.2 Variable Resistances Over Which the Designer Has Control ....535 . U: B0 U3 r1 K1 Z+ m6 u; J D
D.5 Practical Implementation in the Drill Design ........................................539
S# d# l, u7 r( D7 V3 |References ..........................................................................................................543 " C) b1 s. u' D/ D! l2 L+ N
Appendix E ' s8 l# R4 P' F7 Q7 A) Z6 w9 _& I* w2 U
Requirements and Examples of Cutting Tool Drawings................................545 0 w7 u. X. ~# { f+ X
E.1 Introduction ...........................................................................................545 8 U( z: j$ Z, N9 u8 Y
E.2 Tool Drawings – the Existent Practice ..................................................546
; E+ v& |3 j F- JE.3 Tool Drawing Requrements ..................................................................548
& \) T" C! a4 g Z7 G+ KE.4 Examples of Tool Drawing ...................................................................553 3 v% B- k, `: B
References ..........................................................................................................559 * p$ J) o! K4 D* R6 U) S( ]8 j$ w
Index…………………………………………………………………………….561 , l; v6 ~+ W, t( z
: ^. T" G/ v2 {( t+ ~. L9 Q
; Q) U* A& E, E5 g c, {# C |