paper hydrodynamic bearing
Transcript of paper hydrodynamic bearing
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8/12/2019 paper hydrodynamic bearing
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128
. 34, N . 3 (2012) 128 137
. . .
.P. S , R.S. G , .K. K
A & , , . ., , , . .,
K :
A B S R A C
& ( )
.
,
( ,
7.0
.
2012 P F E
C :
A & , , . .,
: 4 @ .
1.
I ,
N
P , E .
. F ,
.
I ,
N P L C S
J , S, A E P
. N
, R
.
R E S E A R C H
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. . ., . 34, . 1 (2012) 128 137
129
I R F M ,
:
3 u xy xy
y
+ =
(1)
,
N P
. N = 0, D
< 0, P > 0.
J H
1
N . A ,
N B G 2
J , H S 3 ,H 4
, 5 S H 6
.
. S
P 7 . S
S . 8 , S . 9 S
. 10 , . H ,
, ,
R .
I , N
R F M . S ,
, , , ,
M 7.0.
. 1. S .
2.
F . 1.
, , . ,
F . 1, .
N R . .
D 11 ,
N R H 1
:
0u v
x y
+ =
(2)
xy p x y
=
(3)
0 p
y
=
(4)
:
u U = , 0v = 0 y = (5)
0u = y h= (6)
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. . ., . 34, . 1 (2012) 128 137
130
hv V
t
= =
y h= (7)
0 p = 0, x B= (8)
.
3.
I (3) :
1 p
y c xy x
= +
(9)
F 9 1 :
31
1 1u p p
y c y c y x x
= + + +
(10)
I (10) (5,6), :
{
}
1 1 1 1 34 3 2 2( )
2 4 2 8
23 33 2 2
1 2 431 28 1 2
14
p pu y y h y hy h y
x x
p y y hy h y
xh y U
ph h
x
= + +
+ +
+
(11)
I (2) (5,7)
(11), R :
333 5 6 1220
h h p ph h U
x x x x t
+ = + (12)
:
( , ) ( ) ( )s mh h x t h x h t = + (13)
( ) :
( )21
( ) 4 1 1 1 112 x x
h x H h r bs c B B
= + + (14)
A 12 K13 , ( )
,
= 2 / 1
( . . ) .
I :
1
c H h =
_ x
x B= ,
R :
33 53 6 12
20sh hm
x x p ph h x x
+ = +
(15)
( )( )2
1
24 1 1 1 1s bh x r x
= + + (16)
A =B/ ,= 2 2/ 12 P
N . F = 0 (15)
R N .
F ,mh
:i
mh e = (17)
1i
o p p p e = + (18)
14 ( . .
) po
.
R :
3353
620
so os s
d p d pd d hh h
dx dxd x d x + =
(19)
R :
293 2 11 12
20
352 2
3 20
d d p d poh h is sd x d xd x
d d p d po oh hs sd x d xd x
+ =
+
(20)
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. . ., . 34, . 1 (2012) 128 137
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4.
I (20) :
0o p = 0,1 x =
,
( )
6( ) 0 3
361 3
0 01 73 20
C h x oo s p x dxohs
C hoo s x xC dx dxohh ss
+=
++
(21)
1 11 16 0 02 3C dx dxooh hs s
= (22)
( )363 11 10 01 7 320
C hoo sC dx dxoh hs s
+= (23)
5.
:
1
0 oW p dx= (24)
I ,
(G Q )
M 7.0. G Q
R , M R S .
.
I S C DS
D C DC , 1 / dp dx
(20) (21) :
2 5 2 312 3 ( ) ( )1 201293 2
1 ( )
20
C ix h f x h f xs sdp
dxh h f xss
+ +
=
+
(25)
F , :
( ) ( ) ( )1 11 12 p x p x i p x = + (26)
(26) :
01 p = 0,1 x =
( ) odp
f x dx= ,
1( )11 11 9 20 3 21 ( )
20
5 2 2( ) 1 ( )203
9 20 21 ( )20
x p x C dxh h f xss
f x h f xs x dxh h f xss
= { + }
{ + }
{ + }
(27)
12( )12 12 9 20 3 21 ( )
20
129 20 3 21 ( )
20
x p x C dxh h f xss
x x dxh h f xss
= { + }
+ { + }
(28)
5 2 2( ) 1 ( )1 203
9 2 20 1 ( )20
11 9 23 21 1 1 ( )200
f x h f xsdx
h h f xss
C h h f x dxss
{ + }
{ + }
= { + }
293 21 12 1 ( )0 20
12 293 21 1 1 ( )0 20
x h h f x dxssC
h h f x dxss
{ + }
=
{ + }
D, :
0 1( ) D
BF L p x dx= (29)
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. . ., . 34, . 1 (2012) 128 137
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I :
1
0 1( ) DF p x dx= (30)
14) :
( )11 D D Di i id F e S h e C h edt = (31)
I :
D D DF S i C = (32)
F (29) (31), D C C D
S C DS
( ) 1
110Re D DS F p dx= (33)
( ) 1
120Im D DC F p dx= (34)
.
:
1 1
0 0 x xpdx pdx= (35)
.
N N , , ,
S & D P
1,13 .
N P = 0, D
< 0 P > 0.
= 0. F ,
1.2 < < 3.7,
0 < < 0.83 13
P 0.1 < 1.5.
. 5.
DC .
F 5 D C DC
P . D
br . A ,
, D = 0.1 = 0 = 0.1, = 0.
, N, D
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. . ., . 34, . 1 (2012) 128 137
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D , ,
P D . A , N (P D )
> 1.5:
F . 4.
. .
DS br .
F 6 S C DS
P . S C
DS
2
. I , S
C DS 0.1 = (D )
N ( 0) = 0.1 = (P ),
N . F , S N(P D )
> 1.5. H , > 1.5, S
P D N
. , D
>1.5 P ,
.
. . ( , ) D DS C
= 2.
F 7 D C DC
S C DS
P
= 2. B D S
. F , , D S
= 0.1 (D ) N ( = 0) =
0.1 (P ), N .
D
P .F , D
D
S .
P
.
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. . ., . 34, . 1 (2012) 128 137
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. . ( ) x .
F 8 x
br (1.3 3.8)br < < = 0,
0.25, 0.5 P . I
br . A ,
C P .
F , , C P 0.1 = (D )
N ( 0) = 0.1 = (P ),
N . . N , C P
P C P
D .H , N N(P & D )
. ,
.
. .P .
F 9 x
br . I
,
br .
N N (P& D )
0.2 br 3
, P
D .I 0.3,
.
, > 0.2 2 < 0.2 2 < < 3,
N .
1 S. , H. H : ,
B JSME 14, . 69, . 279 286, 1971.
2 P. B , B. G :
, ASME J , . 106,
. 285 290, 1984.
3 . C. H , E. S : , ASLE .,
. 8, . 191 194, 1965.
4 H. H , S. : ,
ASME J , . 108, . 282287, 1986.
5 R. , P. ,
, ASME, . 122, . 872875, 2000.
6 C R. H :
, ES 97, . 87 97, 2009
7 R.K. S , R.K. P : A
, O , . 1, N . 1, . 19 24, 2006.
8 M.E. S , G.M. D :
: , I ,. 34, N . 2, . 57 67, 2012.
9 D. . S , K.K. C , A.C.K. R : ,
I , . 31, N . 3&4, . 23 28, 2009.
10 B.S. S , R. P : P
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. . ., . 34, . 1 (2012) 128 137
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, I , .31, N . 3&4, . 29 36, 2009.
11 D. D : , J B E ,
ASME (S D), . 83, N . 2,. 227 334, 1961.
12 S. A : : , J
F I , . 259, N . 3, .221 233, 1955.
13 .K. K : ,
J J A P , . 8, N .7, . 827 833, 1969.
14 N.B. N , G.B. M :
, J M S , . 16, N . 3,
. 182 190, 2008.
B : L ,
DC : D ,
DC :3 31 Dh C LB ,
,h h : F , 1h h h= ( )
mh t : ,
mh : 1mh h ,
, ssh h : S , 1s sh h h=
21,h h : O I ,
, D DF F : F ,
2 21 D DF h F ULB =
c H : H ,
L : ,
, p p : F , 21 p h p UB =
br : S 2 1h h ,
S D : D ,
S D :3 2
1h S ULB D
t : ,
,u v : ,
,W W : L , 2 21W W h ULB =
x : x B ,
: 2 2 21U h ,
: 1c H h ,
: S , : C P ,
: ,
: F ,
: t ,
xy : S ,
: B U .