Introduction to Thermal Deformation and Machining …€pdf...
Transcript of Introduction to Thermal Deformation and Machining …€pdf...
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Introduction to Thermal Deformation and Machining Accuracy
()
pdf
pdf
()
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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)
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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)
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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)
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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)
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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
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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
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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
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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)
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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
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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
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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)
()
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76
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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