4 1T Turning Theory

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    n = RPM

    (revolutions per minute)

    vc = Cutting speed

    (meter per minute)

    Dc = Workpiece diameter

    (millimeter)

    ap = Depth of cut

    (millimeter)

    Turning definitions

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    Definition of terms

    vc

    fn

    ap

    nvc = Cutting speed

    (m/min.)

    ap = Depth of cut

    (mm)

    n = Spindle speed(rpm)

    Fn = Feed

    (mm/rev.)

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    D2 100 mm diameter = 300 mm (3 x 100)

    D1 50 mm diameter = 150 mm (3 x 50)

    Circumference = x diameter = 3.14 (approx. = 3)

    Cutting data calculation

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    Given vc = 400 m/min

    Dc = 100 mm

    vc x 1000 x Dc

    400 x 10003.14 x 100

    = 1275 rev/min

    Calculating cutting data

    n=

    n=

    RPM (n) from cutting speed (vc)

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    Utilize the potential ofap -to reduce number or cutsfn -for shorter cutting timevc -for best tool life

    Effect on tool life

    ap - little effect ontool life

    fn - less effect ontool life than vc

    vc - large effect ontool life.Adjust vc forbest economy

    How do cutting data parameters effect toollife?

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    Effects of feed rate (fn)

    Too light

    Stringers

    Uneconomical

    Too heavy

    Loss of chip control

    Poor surface finish

    Cratering-plastic deformation

    High power consumption

    Chip welding

    Chip hammering

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    Effects of depth of cut (ap)

    Too small

    Loss of chip control

    Vibrations

    Excessive heat

    Uneconomical

    Too deep

    High power consumption

    Insert breakage

    Increased cutting forces

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    Lead angle-5 degrees

    Entering angle95 degrees

    ANSI ISO

    Lead angle - entering angle (r)

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    Effect of entering angle on radialcutting forces

    Fcn = radial

    Fcn = radial

    Ff = axial Ff = axial

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    Features / benefits:Small entering angle

    Cutting forces directed towardschuck

    Turn against a shoulder

    Higher cutting forces at entranceand exit

    Tendency to notch in HRSA andhard materials

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    Features / benefits:Large entering angle

    Produces a thinner chip

    increased productivity

    Reduced notch wear

    Cannot turn against a shoulder

    Forces are directed both axially

    and radially vibration tendencies

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    Insert shape

    Large insert shape

    Stronger cutting edge Higher feed rates

    Increase cutting forces

    Increase vibration

    Small insert shape

    Increase accessibility Decrease vibration

    Decrease cutting forces

    Weaker cutting edge

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    Selecting the insert size

    CoroKey 2006 Products / Turning theory

    la = effective cutting edge

    l = cutting edge length

    ap

    la

    l

    r

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    Note: As a general rule of thumb, the depth of cut should be no less than 2/3 of thenose radius.

    Effect of nose radius

    Small nose radius Ideal for small cutting depth

    Reduces vibration

    Insert breakage

    Large nose radius Heavy feed rates

    Large depths of cut

    Strong edge security

    Increased radial pressures

    CoroKey 2006 Products / Turning theory

    r= 0.2r= 0.8

    r= 1.6

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    Rmax = fn2 x 1000

    8 x r

    In a turning operation, surfacefinish is a function of nose

    radius and feed per revolution

    fn

    ra

    p

    Surface finish, m Insert nose radius, mmRa Rt 0.4 0.8 1.2

    0.6 1.6 0.07 0.10 0.12

    1.6 4.0 0.11 0.15 0.193.2 10.0 0.17 0.24 0.29

    6.3 16.0 0.22 0.30 0.37

    Surface finish: negative T-MaxP inserts

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    In a turning operation, surfacefinish is a function of nose

    radius and feed per revolution

    Surface finish, m Insert nose radius, mmRa Rt 0.2 0.4 0.8 1.2 1.6

    0.6 1.6 0.05 0.07 0.10 0.12 0.14

    1.6 4.0 0.08 0.11 0.15 0.19 0.223.2 10.0 0.10 0.17 0.24 0.29 0.34

    6.3 16.0 0.13 0.22 0.30 0.37 0.43

    Surface finish: positive CoroTurn107inserts

    Page A376

    fn

    ra

    p

    Rmax = fn2 x 1000

    8 x r

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    High feed turning with Wiper inserts

    CoroKey 2006 Products / Turning theory

    Wiper insertTwice the feed, same Ra

    Traditional insert

    Wiper insertHalf Ra, same feed

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    Cutting forces effect on internal turning

    Tangential force Frforces tool downand away from centre line

    Radial forceF

    t will attempt to pushthe tool away from workpiece.

    CoroKey 2006 Products / Turning theory

    Fr

    Ft

    Ft

    Fr

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    Internal turning factors

    Tool geometry

    Chip evacuation

    Tool requirements

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    Tool geometry:Entering angle

    Close to 90

    Less force in radial direction = less deflection

    CoroKey 2006 Products / Turning theory

    90 75

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    Tool geometry:Insert geometry

    Positive insert geometries generate less cutting forces

    PositiveNegative

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    Tool geometry:Nose radius

    Depth of cut at least the nose radius

    Less force in radial direction = less deflection

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    DH7

    Ra 32

    Tool requirements:Clamping

    Maximum contact between tool and tool holder(design, dimensional tolerance)

    Clamping length 3 to 4 times bar diameter

    (to balance cutting forces)

    Holder strength and stability

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    Factors that affect vibration tendenciesVibration tendencies grow towards the right

    CoroKey 2006 Products / Turning theory

    90 75 45

    0.2 0.4 0.8 1.2 mm

    r

    +

    ER GC VB

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    Power requirement for T-MaxPand CoroTurn107 inserts

    CoroKey 2006 Products / Turning theory

    T-Max P inserts CoroTurn 107 inserts

    Medium/Roughing machining Roughing machining

    ap x fn (cutting depth x feed)