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  • 1

    Introduction to Thermal Deformation and Machining Accuracy

    ()

    pdf

    pdf

    ()

  • 2

    Introduction to Thermal Deformation and Machining Accuracy

    1.1

    1.2

    1.3

    1.4

    (a)

    (b)

    (c)

    (d)

    ()

    (e)

    1.5 ()

    (a)

    (b) 2()

    (c)

    1) ()

    2)

    3) 20

  • 3

    2.1

    2.2

    (a)

    (b) ()

    (c)

    (d)

    2.3

    2.4 [:(:)]

    (a)

    (b)

    (c)(:)

    2.5

    2.6

    2.7

    2.8

    3.1

    (a)

    (b)

    (c)2:

    3.2

    (a)

    (b)

    (c)(2)

    4.1 ()

    4.2

    4.3 (:)

    4.4

    (a)

    (b)

    (c)

  • 4

    5.1

    a

    b

    c

    5.2

    5.3

    5.4

    (a)

    (b)

    5.5

    (a)

    (a-1)

    (a-2)

    (a-3)

    (b)

    (b-1)

    (b-2)

    (b-3)

    (b-4)

    (b-5)

    (b-6)

    6.1

    6.2

    6.3

    6.4

    6.5 (:)

    6.6

    (:)

    6.7

  • 5

    6.8

    (a)()

    (b)

    (c)

    (d)

    6.9

    6.10

    (a)

    (b)

    (c)

    (d)

    (e)

    (f)

    7.1 ()

    (a)

    (b)()

    (c)

    (d)

    7.2 ()

    (a)

    (b)()

    (c)

    (d)()

    (e)()

    7.3

    (a)

    (b)

    (c)

    (d)

    (e)

  • 6

    7.4

    (a)

    (b)

    (c)

    7.5

    (a-1)()

    (a-2)

    (b)

    (c)

    7.6

    (a)

    (b)

    (c)()

    7.7

    (a)

    (b)

    8.1

    (a)

    (b)

    (c)

    (d-1)

    (;)

    (d-2)

    (;)

    (e)

  • 7

    8.2

    (a)1

    (b-1)

    (b-2)

    (c)

    (d)CNC

    8.3

    8.4

    8.5

    (a)

    (b)

    8.6 ()

    8.7

    8.8 PSD

    9.1

    9.2

    (a-1)

    (a-2)

    (b)

    (c)

    9.3

    9.4 (; A/D)

  • 8

    Introduction to Thermal Deformation and Machining Accuracy

    1)()

    (1997),p.3,14,17,21,39,52,57,58,63

    ,64,169.

    1-1)(2011)8 ,p.746.

    (2000)9

    ,p.1431.

    2)

    ()(1970),p.119,122,171,172.

    Wayne R. MOORE:Foundations of Mechanical Accuracy, p.119,122,171,172. 3)(5)-

    ,(),(1978)6 ,p.757,758.

    (6)-

    ,(),(1978)7 ,p.897.

    5)(1980),p.16,20,21,22.

    (1984)B2,p.170.

    5-1)2008,p.1-6,1-7,1-12.

    5-2)

    3 ,(1973)2,p.236.

    6)()(1981),p.291,786.

    7)()p.17,19

    8)()

    (1986),p.43,314321.

    8-1)()http://www.heishin-dispenser.jp/

    compass/compass14.html

    8-2).htm

    9)Loewen & Shaw: On the Analysis of Cutting-Tool Temperatures,

  • 9

    Trans. of the ASME(1954)vol.76,Feb. p.224.

    10),()(1987),p.677.

    ()

    ( 3)(1961)178 p.949

    15)(1984)B4,p.111.

    Wikipedia.

    16)()

    http://www.marusyosangyo.jp/etc/74

    17)

    1990,p.61-67.

    17-1) PVCF1_4.htm

    http://denkou.cdx.jp/Opt/PVC01/PVCF1_4.html

    :Nomotohttp://t.nomoto.org/spectra/000198.html

    17-2)()

    http://www.fintech.co.jp/sah/buturi-teisuu.htm

    18)(1968),p.9.

    (1)

    ,()(1990)8 ,p.913.

    20) 84

    ()(1984),p.32.

    ,()(1990)1 ,p128.

    24)

    ,()(1990)1 ,p.128,129,131,132.

    25)(6)--

    , ()(1978)7 ,p.896.

    ,()(1990) 1 ,p.141,142,148,149.

    25-1)G.Spur Thermal Behavior of Machine Tools,

    Advance MTDR Conf.(1969),p.151,154,155.

    27)

    ,()(1990)1 ,p.182.

    28)

    ,()(1990)1 ,p.207.

  • 10

    Improving Machining Accuracy in Turning with Use of Tool

    Holder Made of Super-invar,

    International Mechanical Engineering Congress(1991)p.88.

    29)(3)

    ,()(1990)10 ,p.1126,1129.

    (4)

    ,()(1990)11 ,p.1228.

    (5)

    ,()(1990)12 ,p.1330,1333.

    (1989)9 ,p.1707,1710.

    C(1990)521 ,p.158.

    33)

    ()(1986)p.26,75,p.89108,110,119,128.

    33-1):K.YOKOYAMA and others: Analysis of Dimensional Error and

    Improvement of Honing Accuracy by In-process Compensation of

    Thermal and Elastic Deformations,

    Int. J. Japan Soc. Prec. Eng.(1992)No.3,p.251.

    34)

    (1975)11,p.1080.

    35)( 1

    )

    ( 3)(1971)296 ,p.832.

    36)

    -( 2)-

    (1975)4 ,p.367.

    37)

    38)

    (1976)10 ,p.970.

    1

    ),(1982)3 ,p.323.

    39)

  • 11

    (1998)9 ,p.1355,

    ( 3

    ) (2003)11,p.1600.

    USB

    (2008)8 ,p.825.

    (2004)12,p.1559.

    (2004)8 ,p.1101.

    39-1)

    (1998)1,p.137.

    40)KODERA,YOKOYAMA

    Real Time Estimation of Ball-Screw Thermal Elongation

    Based upon Temperature Distribution of Ball-Screw,

    JSME International Journal(2004)No.4,p.1175.

    (2005)12 ,p.1529,1530.

    ( 1 )

    (2008)9 ,p.935.

    (

    )(2008)10 ,p.1065.

    40-1)Wikipedia.mht

    NACHI-4308-2.pdf.

    41)

    ,

    (1995)11,p.1586.

    (1996)2 ,p.210.

    N

    (2002)1 ,p.93

  • 12

    43)

    (C)(1997)11 ,p.4026,4029.

    CNC

    (C)(2003)10 ,p.27782781.

    43-1),()(1966),p.17,30.

    45)() http://www.okuma.co.jp/onlyone/thermo/index.html

    47)() https://www.jp.nsk.com/services/pm_techreport/

    48)

    (1998)10 ,p.1476.

    PSD()

    (2009)11,p13411343.

    48-1) FEM

    C(1991)10,p.3280.

    (1993)5 ,p.205.

    50)

    ,()(1988)6 ,p.189.

    51) 7(1997)4

  • 13

    Introduction to Thermal Deformation and Machining Accuracy 01

    (:)(:)

    (:

    )

    (:)

    NC

    ()()

  • 14

    43)44)45)

    1.1

    (a)(b)

    1)

    (a)()1-1

    (b)

    ()

    (:)

    2

    (a)

    (b)

  • 15

    (a)

    ()

    (a)

    1-1)

    1-1(a)

    1-2

    1.2kgfkgf

    :

    1-2

    )

    (b)

    1.2

    ()

  • 16

    ()

    (:)

    1.3

    1-3

    10m10m

    0m 20m

    -20m

    100m

    -100m

    ()

    ()

  • 17

    1-4

    3)

    1-3

    1.4

    1-3

    1-3

    (a)

    or

  • 18

    ()

    (b)

    (:

    )

    1

  • 19

    1-5

    1-3

    2

    1/16

    2

    1-5()

    (m)

    1-6

    (N/m, kgf/m)

    1-3

    (N/m, kgf/m)= /

    :

  • 20

    (c)

    1

    (d)

    3

    2

    (N/m)

    (N/m)

    :

    C

  • 21

    2

    2

    3

    2

    ()

    2

    1-7

    +

    +

    CCW90

    L

    L =L 1-1

    L

    1-71-1

    D D 1-2

  • 22

    D

    D =D 1-2

    D

    D D

    D

    1-7-2

    D 1-3

    D

    (D +D )

    D (D +D)= (D +D)=(D +D )

    1-3

    (1-3)

    1-7

    (:)

    (:)

    l x

    1-7

    2

  • 23

    ()

    1

    1-8

    1-8

    1-8

    1-8

    6.3

    1-92

    1-9()

    :2

    2

  • 24

    (

    )

    11.810-61/

    23.210-61/

    48)

    1-9

    48-1)

    48)48-1)

    1-10

    1-10C

    01hr

  • 25

    (:)

    01hr

    (:)

    (:)

    (:)

    2

    1-10

    (

    )

    1-11

    YCCCW90

    1-11

    (

    )

    (e)

    (/m, K/m)

    :

  • 26

    (:)

    1-12(

    )/m

    1-12

    ()

    N/m

    1-1235rpm

    (:)

    1

    1-12900rpm20

    900rpm1

    (1)

    8.2

    1.5 2()

    (a)

    1-4

  • 27

    (b) 2()

    1-32

    2

    (c)

    1) ()

    1-13

    1

    2

    1-14

  • 28

    2)

    1-15

    a

    CCWh

    h

    0.05mm0.05mm

    1-15

    0.01mm

    (:)

    :

    :

  • 29

    0.020.03mm7)

    1-16

    =0.01mm1/20.005mm

    3) 20

    1-16

    (:)

    1-17

    (:)

    1-18

    (:)

    1-19a

    1-19(b)

    (:)

    20

  • 30

    1-16,1-17,1-19

    1-20

    20

    20

    1-20

    20

    20

    20

  • 31

    Introduction to Thermal Deformation and Machining Accuracy 2

    2.1

    1-3

    2-0(a)

    (b)

    2.2

    (a)

    ()

    2-1

    F P (2-1)

    F

  • 32

    :

    P

    2-1 F

    V t

    W F() E F

    W FFV P V (2-2)

    E FW Ft (2-3)

    (2-3)

    W F(2-2)

    N(m/s)= Nm/s = J/s = W(:Watt)

    E F(2-3)

    Ws = (J/s)s = J (1J= 0.239calIT)

    : 0.31

    : 0.10.3

    : =0.010.1

    (EHL) : 0.0010.01

    (:)

    1:()

    )

    ()

  • 33

    2-2(a)

    2-2(b)

    2-1

    2-1

    1

    1 1)

    2-1

    2-1

    :W=(J/s)

  • 34

    2

    2-1

    2-3

    p 2

    2-1

    (b) ()

    2-4

    (:

    )

    2-4

    (

    )

    2-2

  • 35

    ()

    90

    ()

    ()

    1

    ()

    2-4

    ()

    (c)

    2-1(c)

  • 36

    2-5(a)

    (a)

    (:)

    2-5(b)

    (:)

    ()

    2-5

    (b)

    :

    : 1520my

    (:)

    (:180)

  • 37

    U (:

    )W (b)

    y

    (d)

    Q = I 2Rt (2-4)

    Q :(J) I :(A)

    R :() t :(s)

    ()

    +

    ()

    2-4

    (2-4)I,R

    ()()

  • 38

    6-9(b2)

    6-9(c)

  • 39

    2.3

    2-6

    2-5

    2-5

    :

    :

    1Q = U + W

    Q

    U

    W

    [1]

  • 40

    2-6

    27

    2

    2-1-1 2-1-3

    2.4 [:()]

    ()8-2)

    (:)(:)

    1

  • 41

    (:)

    (:)

    (a)

    3

    128(a)

    L 2

    dQ21[W]1[W]1[J/s]=0.2388[calIT/s]

    dQ21[W]28(2-1)

    [W/(mK)]

    2-2

    calIT:International Steam Table calorie

    IT

    1 calIT = 4.1868 J

    :

    (:)3:()

    :

    :

    ():

    (:

    )

  • 42

    (b)

    (:)

    28(b)

    1 0

    1 0

    dQ10[W]28(2-2)

    (:)[W/(m2K)]

    (

    )

    2-3-1

    2-3-2

    2-3-1

    0:

    :

    :

    :

  • 43

    2-3-12-3-2

    ( :

    100)dQ 10(:

    )

    (2-2)(10)0

    dQ 10

    (c)(:)

    2-9 300nm

    3,000nm(3m)

    380nm780nm(:0.78m)

    100nm380nm

    : 380nm780nm

    :780nm1,000m

    1m m =1,000m, 1m =1,000 n m

  • 44

    2-8(2-3)

    dQ 32 4

    4

    2-4-1

    2-4-2

    2-10

    1-19(a)

    1-19 (b)

    2.5

    2-0(b)

    (:)3

    2.4(b)(c)

  • 45

    2.6

    3

    2

    1-7,1-8,1-9,1-10,1-11,1-12

    1-81-7

    1-7

    1-9

    1-10

    1-11

    X b

    2.7

    2-11(a)

    (t=0hr)C

    1Z55m

    specific heat capacity=()

    = specific heat :J/(kgK)

    cp-cv= R cp:cv: R:

    ()8)

    cp

  • 46

    55m

    Y60m

    60m

    10Z

    Y130m

    130m

    2.8

    2-11(b)Z

    (01hr)

    2-11Z

    (b)

  • 47

    Introduction to Thermal Deformation and Machining Accuracy 3

    3.1

    2-72.3

    2

    (a)

    2

    2-1(a)(b)

    2

  • 48

    1

    1520m

    (b)

    2.2(a)

    2-2(b)

  • 49

    (c)2

    2

    2-1(b)(c)

    1

    3.2

    2-7

    (a)

    2020

    3-1

  • 50

    (b)

    ()()

    2.4(c)

    2-10

    100W/

  • 51

    (c)(2)

    22.4(b)

    2-3-1

    2-3-12-3-2

  • 52

  • 53

    Introduction to Thermal Deformation and Machining Accuracy

    (:)

    (:)

    4.1 ()

    2-0(b)

    4-1

    (:)3:()

    :

    :

    ():

    (:

    )

    ()8-2)

    (:)(:)

    W/(mK) 2-82-1

    a =/(c p)mm2/s ,

  • 54

    W/(mK)=J/s/(mK))1m1K

    (1J/s=0.239calIT/s)

    mm2/sa =/(c p) 2-8

    (2-1)

    (c p)

    4-1Cu

    1m1K1m2Cu

    398W315W117mm2/s

    Cu

    ()

    2-2

    1-51-11

  • 55

    1-10

    Z

    1-19(a)

    4.2

    (:)

    28

    (2-2)(:)[W/(m2K)]

    ()

    2-3-12-3-2

    1-10

    1-10(or)

    2-3-1

    (or)

    1-7

    Y

  • 56

    4.3 (:)

    2-10

    1-19(b)

    4.4

    (a)

    4-1

  • 57

    ()

    ()

    4-1

    (:CW

    )

    1

  • 58

    (b)

    2-2

    2-2

    ()

    (1)

    2-2

    (

    )1

    (

    )

    4-2(a)

  • 59

    4-2(c)

    ()

    4-2(c)

    0.1

    (c)

    1-19(a)

    1-16-17

    1-19(b)

    (:)

    2-10

    0.05

    2)4-3

    1

  • 60

    4-3

    4-3

  • 61

    Introduction to Thermal Deformation and Machining Accuracy

    5.1

    (a

    2.2.(C)

    b 41)

    (5-1)(5-2)

    ()

    (;)

    1(:)

    1

    1()

    (1

    )+

  • 62

    1MHz

    (5-1-1)

    5-1-216bitC1

    C2C3

    C1N1C3

    N31

    t1 = (N 3216 + N 1)tp (5-3)

    N 3 N 1 (216-1)

    fmin= 1/((232-1) tp ) (5-4)

    CPtp=0.4sfmin= 5.8

    10-4 Hz

    PC

    c 41)

  • 63

    5.1(b)

    Ieq

    5-2-15-2-35-3-15-3-3

    d mN

  • 64

    5.2

    (:)

    =0

    5.3

    ()

    1

  • 65

    3

    33

    34)38)1

    1

    2

    3

    ()

    5.4

  • 66

    1

    2014

    (a)

    5-2

    (b)

    5.5

  • 67

    (a)

    --

    -25-4- 1(a)(b)

    (T1-T2)

    PN

    ()

    5-4-2

    (:)

  • 68

    (

    ,sheath)

    5-4-3

  • 69

    ()

    (a-1)

    5-4-4

    (a-2)

    5-4-3

    38)

    39)40)

    (a-3)

  • 70

    (b)

    (b-1)

    5-5-15-5-3

    A,B

    1

    1

    A/D5-5-2

    0.4HzRC

    150Hz

    0.1m

    0.1m

  • 71

    RC

    A/D

    5-5-3

    (a-b)

    (Start(0rpm)4998rpm)

    (2550sec)

    6-9(b2)

    (10)

    (26)2.5

    5-5-3Fig.9(a)

    (a-b)

    (0

    4998rpm)

    (a-b)

  • 72

    5-5-3Fig.9(a)

    (a-b)

    start(a-b)(dLs)

    Fig.9(b)

    (b-2)

    5-6-1mm

    20m1mm

    27927

    23.210-61103(927-27) = 20.88m927

    A3003

    20.88m

    20m

    1)1mm= 23.210-6 1/

    1mm

    200

    23.210-61103200 = 4.64m

    2)

    (5-6-1)

  • 73

    5-6-1

    3)

    or

    13.610-62510320 = 6.8m

    (SUS304=13.610-6 1/

    25mm20

    4)

    ADE

    40)

    5-6-2

    5)

    5-6-1

    1)5)20m

    1)

    3)5)

    ()

  • 74

    (b-3)

    5-7

    1520mm

    (b-4)

    ()

    1

    5-8

    ()

  • 75

    (b-5)

    (b-6)

    ()

  • 76

  • 77

    Introduction to Thermal Deformation and Machining Accuracy

    6.1

    6-1(a)

    ()

    ()

    ()

    2-2(a)

    2-2(a)

    6-1(a)

    4-2(a)

    6-1(a)

    ()()6-1(a)

  • 78

    6-1(a)

    (= -|a|-|b|)

    2

    6-1(b)

    6-1(a)

    6-1(b)(=|a|-|b|)

    6.2

    6.2

    6-2(a)(d)

    (a)

    (b)()

    ()(c)

    (b)(c)

    (c)

    (d)

  • 79

    1

    6-1(b)

    6-2(d)

    4-2(a)4-2(b)

    6-1(b)|a|

    |b|(|a|-|b|)

    6-2(d)

    (|a|)(|b|)

    6-1(b)6-2(d)

    6.3

    6-3(a)2

    1-7

    6-3a

    6-3(b)(d)

    6-3(b)

  • 80

    3mm(1007

    37mm)

    (W/mm2cal/(mm2/s))(:

    )

    5.2

    6-3(c)

    6-3(d)

    (x=100mm)

    1

    6-3(a)

    6.4

    6-4(a)(b)(c)

  • 81

    6-4(b)

    6.5 (:)

    6-5(a)

    (:)

    (:)

    6-5(a)(:)

    (:)

    (:

    =10.7310-6 1/K)

    (:=23.910-6 1/K)

    6-5(b)

    6-5(a)

    (:)

    (:

  • 82

    )

    6-5(c)(d)

    (12mm)

    (24mm)

    6-5(e)

    6.6 (:

    )

    6-6(a)60mm

    180mm

  • 83

    2

    6-6(a)

    FEM(

    )6-6(b)6

    135

    3

    7

    8FEM

    5(:5

    )

    53.75(:95.25mm)

    6-6(c)12

    FEM

    1314

    7,000rpm1m

    6-6(d)7a

    (b)FEM(c)

    7,000rpm

  • 84

    6.7

    NC

    6-7(a)

    6-7(b)NC(a)

    (b1)(b2)

    (b1)

    (b2)(c)

    6-7(a)

    (:)

    (:)

    (:)

    2

    1-3

  • 85

    8.1

    6.8

    (a)()

    6-8(a)

    FEM

    6-8(b)

    6-8(b)(a + b )/2(:

    )6-8(c)

    6-8(b)(a)

    0.1mm

    2.2m(6-8(c)(b)7,200rpm)

    (a-b)0.015m

    0.5m(6-8(c)(a)3,500rpm)

    (a- b )0.003m

    6-8(b)(a)

  • 86

    6-8(b)

    (70mm)

    6-8(d)6-8(f)(a)

    (a- b )(6-8(d)

    (b))6-8(f)(b)

    (a- b )0.1m

    6-8(e)

    (a)(b)(a- b )0.4Hz

    150Hz

    (

    6-8(e)(c))

    0.4Hz

    6.8(b)

    (b)

    6-8(f)AB

    a b 6-8(b)

    6-8(f)

    (a)a b

    6-8(b)

    (a- b )

  • 87

    6-8(f)(a)

    stop(a- b )start

    2

    (a- b )

    6-8(f)(a)(a- b )

    2start

    (a- b )(dD s )

    1/40

    dD sFEM

    6-8(f)(b)6-8(b)(b)

    5mm

    (c)

    6-8(g)

    3a b

    (a - b )6-8(h)(a)

    a b

    a

    a b

    ()

  • 88

    (a - b )6-8(f)(a)(a - b )

    dL s

    FEM6-8(h)(b)

    (

    )

    (d)

    6-8(h)(a)a dL s

    da s

    6-8(i)(b)da s

    1,0002,000rpm

    da s

    6-8(i)(b)da s

    FEM

    6-8(g)

    (:)

    6-8(i)(a)

    a s

    da f

    da sda f(da s- da f)

    FEM

    d (6-8(a)(a))6-8(i)(b)

  • 89

    6.9

    6-9(a1)

    51(a)(b)

    31(a)

    6-9(a2)

    (1,80012,000rpm(12,000rpm1kWAC))

    SUS420J210mm

    ch0ch7

    IC,ADIC

    LED

    1

    39)

    6-9(b1)6-9(b2)

    10,000rpm

  • 90

    6-9(a2)

    6-9(b1)(b2)

    6-9(a2)

    ()

    6-9(c)

    ()

    6.10

    (a)

    6-10(a)

    6-10(b)

    (b)

    6-10(d)

    ()

    (

    2m2m2m

  • 91

    )

    11.510-6(1/)2106m0.12.3m 2m

    0.12.3m

    2.3m

    m

    OFF

    1

    (b)

    6-10e1

    Fig.5.5Fig.5.6

  • 92

    6-10

    e2

    V

    870rpm225

    6-10e1

    (c)

    6-10(e1)

    6-10(e2)

    6-10(e2)(e1)(CW)

    (CW)

    (e1)CCW

    6-10(e1)(e2)

  • 93

    (d)

    6-10(e1)Fig.5.5

    ()

    150m

    6-10(e2)(a)

    (

    )6-10(e1) (e2)

    6.10(a)

    6-10(e2)

    (e)

    6-10(f1)

    ()

    6-10(f2)

    10 70m

  • 94

    (f)

    6-10(g1)1

    (:)2-3-12-3-2

    (:)

    6-10(g2)

    (:)6-10(g2)

    6-10(g2)

    2

    6-10(g3)40

    70,110,150150

    XT2XT2

    13mZT

    ZT18m

  • 95

  • 96

  • 97

    Introduction to Thermal Deformation and Machining Accuracy

    2-0(a)

    7-1

    7.1 ()

    (:)

    1-3

    (a)

    (b)()

    (c)

    (2-2)

    (d)

    (:W=J/scal/s) (J/s:Joule/s)

    :

    ()

    Joulecal()

  • 98

    (:)

    7.2 ()

    (a)

    1-3

    2-0(a)(b)

    (b)()

    ()1-7

    1-7

  • 99

    (c)

    1.5m10

    m

    2

  • 100

    ()

    (

    )

    (d)()

    ()

    (:)

    (:)

    2

    NC

    40)

  • 101

    (e)

    (:36%Ni,0.7%Mn,0.2%C,%Fe)

    2-0(a)(b)

    LNGCRT

    40-1)

    28)

    7.3

    (a)

    2-0(a)(b)

    3-1

    20

    (b)

    4-1

    2-0(a)(b)

  • 102

    4.4(a)

    (c)

    (d)

    (e)

    2-0

    ()

    (:)(:)

  • 103

    7.4

    (a)

    NC

    PC

    2-0(a)(b)

    or

    ()+

    (b)

    NC

  • 104

    (c)

    (:)

    7.5

    (a-1)()

    2-0(a)(b)

    3-1()

    (a-2)

    7-0

  • 105

    PC

    (b)

    4-3

    (c)

    2-10()

    100W

    11

    2-10

    7.6

    (a)

    2-0(a)(b)

    1-10Z

    10hr0.5hr0.53hr

    1-11Y X b

  • 106

    (b)

    2-0(a)(b)

    Watt:

    [T]Nm(rad/s)J/sW

    T

    (:2-5(b))T

    (c)()

    ()

    ()

  • 107

    7.7

    (a)

    7-1

    1-7

    (:)

    ( p169

    10.5(d))

    7-2(a)

    L

    (L+L)

    (L+L)L

    L (L-

    L)

    :

  • 108

    7-2(b)(:

    )

    (L+L)

    L

    7-2(a)(b)

    7-2(a)

    7-2(b)

    7-2(a)(b)

    (b)

    7-2(a)(

    )

    (

    )

  • 109

  • 110

  • 111

    Introduction to Thermal Deformation and Machining Accuracy

    8.1

    NC

    (a)

    NC

    6-7(b)(a)(b1)(b2)

    (c)

    8.1(e)

  • 112

    (b)47)

    7-1

    47)

    ()

    4

  • 113

    (c)

    8-3(a)

    NCNC(

    200m)

    NC

    l l X X (:X

    A )

    NCX

    Point-to-point

    8-3(b)

    DF=12m/min6m/min

    5m

    NC

    11

    (d-1)

    (;)

    8-4(a)8-4(c)

    1

    8-4(a)

  • 114

    PC2X

    NCPMC-windowPC2X

    CNC/PMC/PC2

    PC2

    (1)

    8-4(b)

    1s

    8-4(c)

    comp.OFFcomp.ON

    (

  • 115

    )

    8-4(c)CCW

    PA t8-4(d1)

    comp.OFF

    PA tcomp.ONPA t

    8-4(d2)(:(1))PA t

    comp.OFFcomp.ON(:(1))

    PA t

    comp.ONPA t

    8-4(d1)(d2)PA t(1)

    LR 1

    (4)

    (z-0

    )8-4(d3)6hr

    -1.1+1.1m

    (d-2)

    (;)

    20

    20

    8.1(d-1)8-4(c)

    8.1(d-2)

    20

  • 116

    AD594

    0

    ()

    PC

    0

    0

    (2)

    compON

    8-5(a)

    (:z+171mm)

    z+171mm

    z+171mm

    T0mean

    z-0z-384mm2

    2

    T0mean

    384mm2

    (:0)

  • 117

    8-5(a)(3)

    8-5(a)

    T(3)

    TPA384(4)

    8-5(a)

    z+171mmCCW

    8-5(b)

    (:Z nomNC

    )8-5(a)

    2

    8-5(b)()

    2

    2

    (5)

    (5) Z nomNC

    8-5(a)

    8-5(b)

    (5)

    ()

    ()Z nomNC

    8-5(c)8-2

    R-temp.266hr186hr23

    12hr

    30min.1.5

    30min.

  • 118

    16.5hr4

    ONOFF

    8-5(d)

    8-230min.

    z-0z-384mm

    24mm21s

    (4)7s(5)7s

    OFF 7s

    OFF8

    -5(d)(a)OFF0.5hr16.

    5hr

    z-0z-384mm

    8-5(d)(b)6.511.5hr

    -

    8-5(d)(c)

    ONOFF18.523.5hr

    8-5(c)(b)18.523.5hr

    8-5(d)(c)

    8-5(e)(a)z-0z-384mm2

    (4)

    023.5hr16.526.5

    z-0z-384mm-8.4

    +1.4mz-0z-384mm

    8-5(e)(b)z-0z-384mm2

    24mm(5)

    z-0z-384mm

    -7.9+1.5m

  • 119

    (4)(5)

    8-5(f)(4)z-0

    z-384mm

    z-264mm8-5(f)

    (4)

    8-5(a)

    (5)z-0

    z-384mm24mm

    Z nomNC

    z-0z-384mm

    24mm

    8-3(max.-min.)

    (4)(5)

    8-38.5hr

    z-0z-384mm

    (5)(4)

    8-2LHT-F18R

    z-0z-384mm20z-0z-192,z-384mm

    321s(4)

    (5)OFF

    8-5(g)comp.OFF

    (4)3)

    8-5(g)(a)comp.OFF

    8-5(d)(a)0.5hr

    comp.OFF

    20z-0

    z-192,z-384mm

    (4)comp.ON8-5(g)(a)z-0

    z-192z-384mm6.5hr-7.60

    m

  • 120

    63

    (6)8-5(g)(b)-0.4+2.2m

    (e)

    6-7(b)(c)

    6-7(b)(a)(b1)(b2)

    (:)

    ()

    ()

    8.2

    xy

    (PC)PMCCNC

  • 121

    ()

    (a)1

    1-12f

    n = 35rpm

    f

    f

    (b-1)

    8-6(a)

    3

    ()

    8-6(b1)

    6-10(e2)

    (:)

  • 122

    8-6(b1)

    8-6(a)

    22

    5 8-6(b1)

    ()

    8-6(b2)

    8-6(b1) 8-6(b2)

    (b-2)

    8.2(b-1)

    1/2

    8-6(b3-1)(15mm)

    8-6(b3-2)

    8-6(b3-1)

  • 123

    22

    (c)

    45)

    11-7

    1

    45)

    ()

    (d)CNC

    f(x1+x2)=f(x1)+f(x2)

    8-8(b1)(1)(4)

  • 124

    gij(t)uj(t)

    (4)ij(t)

    8-8(b1)(b2)(b3)8-8(b3)t=0

    1

    8-8(b1)1

    18-8(b2)(b1)2

    (b2)2

    2(b2)1

    1,000rpm

    8.3

    ()

    (1)(:ijgijuj)

    (4) (ijuj

    ij(t)=uj(t)

    gij(t))

  • 125

    8-9(a)

    8-9(b1)(b2)

    8.4

    8-10 LLNL(:Lawrence Livermore National Laboratory)

    J.B.Bryan

    20

    0.006

    8.5

    (a)

    8-11

  • 126

    (b)

    8-6(b1)8-6(b2)

    870rpm

    1/10

    ()

    8.6 ()

    4-14.4(1)(:)

    8.7

    6-4(a)

  • 127

    6-4(b)

    8.8 PSD

    1

    1

    8-12(a1)

    (:(a))

    2

    8-12(a1)LD(:)PSD()

    (:

    )

    LD4*2mm

    1.27mm

    PSD

  • 128

    1PSD1PSD

    PSD

    PSDPSD

    LDPSD

    8-12(a1)

    PSD

    8-12(a1)

    PSD

    8-12(b1)PSDPSDVpsd(1)

    8-12(a2)

    10,000rpm

    8-12(b2)8-12(a3)

    objtool

    180

    1,836rpm

    PSDm

    8-12(b2)08min.

    0rpm1,836rpm10,000rpm

  • 129

    slit

    350mm8-12(a2))

    10,000rpmslit

    ad

    obj

    tool

    8-12(b3)10,000rpm

    PSD

    PSD

    100mm

    8-12(b)PSD3mm

    PSDmm

    8-12(b4)tool

    ref10,000rpm

    toolref

    err-0.89+1.91m

  • 130

  • 131

    Introduction to Thermal Deformation and Machining Accuracy

    9.1

    9-19-2(a)(f)

    (a)

    m() mm() m()

    10-3m()10-6

    km()k103

    1 km =1*103*m =103m =1,000m

    1 mm =1*10-3*m =10-3m =0.001m

    1m =1*10-6*m =10-6*m =10-3*10-3m =10-3*1mm =0.001mm

    =0.000001mm

    [Pa = N/m2] :1m2N

    [N/mm2,kgf/mm2] :1mm2N

    [kg/m3]1m3kg

    1kg(:)1kgf

    (1kgf1kg

    1kg)

    [J/K]1K

    J

    [J/(kgK)]1kg()1K

  • 132

    J

    [W/(mK)]()

    2-8(a)(2-1)1m

    21K

    1m2

    W

    [W/(m2K)](

    )

    ()1K

    1 m2

    W

    X:(m)V:(m)t(s)

    X = V *t

    =(m)=(m)*(s)=(ms)

    V(m/s)

    =(m)=(m/s)*(s)=(m*s)/s=(m)

    m() m()()

    in()Length:

    s(),min.(),hr()Time:

  • 133

    kg(),t()car()

    Mass:

    (m/s)LT -1

    [Pa = N/m2][N/mm2,kgf/mm2]

    9.2

    (a-1)

    9-1(a)

    9-1(b)= 0

    0 9-1(b)

    9-1(a)L

    Lf

    2

  • 134

    2

    0.01mm

    93

    f

    9-2

    9-2

    CCW

    9-2

    f

    f = h

    1(

    )h

    h

  • 135

    0.01mm

    (a-2)

    9-4-19-4-26070m

    (b)

    100mm

    *0.2112

    JIS B7506

    (c)

    9-5

    ()

  • 136

    1-20(:)

    9-1(a)

    9-3

    Y2

    Y1

    Y1

    360

    5.6(b-2)

    (:)

  • 137

    9.3

    A/D

    9.4 A/D

    A/D

    A/D

    A/D

    9-6A/D1LSB

    A/D

    (:)

    (

    )

    LSB: Least Significant Bit2

    101

  • 138

    A/D

    A/D

    A/DA/DA/D

    2A/D1

    A/D(

    )

    A/D

    0-111111171191