Timken Calculating 3 Opt

7/25/2019 Timken Calculating 3 Opt

1/24

453

.

, . 47

A. ............ 48-521. ......................................................................... 48

1.1. 1.1. 1.2. -

Zerol 1.3.

1.4. 1.5.

2.

............................................................................ 51

3. ........................................................ 51

4. ........................................................... 51

5. ....................................................... 525.1. 5.2. ,

6. ...................................................................52

6.1. 6.2. 6.3. 6.4.

B. .............. 53-641. ................................................... 53

1.1. , -1.1.1 1.1.2 1.1.3 1.1.4

1.1.5 1.1.6 1.1.7

1.2. 1.2.1 1.2.2 , - a11.2.3 , - a21.2.4 , - a31.2.5 - a41.2.6 Select-A-Nalysis

1.3. 1.3.1 1.3.2 -

1.3.3 , -1.3.4

2. ...................................................... 632.1. 2.2. (-

)2.3. (-

)

3. 900 (P900).................................. 64

C. ...................................... 65-68- M

1. .............................................. 65

2. ............................................... 66


2/24


3/24

47

,

b ,

dc ,

Dm ,, ,

Dm (DmG), (DmP)(DmW)

,

Dp (DpG), (DpP) (DpW) ,

fB

Fa (),(FaG), (FaP) (FaW)

,-

Fb ,-

Fo ,-

Fs , (FsG), (FsP) (FsW) ,-

Ft , (FtG), (FtP) (FtW) ,-

Fte , ,-

FW ,-

G ,

H , ..

L . ,

M -, -

m

N (NG),(NP) (NS)

n (nG), (nP) (nW) /

p .-,

,

P ,

r ,

T -, -

V /, /

Vr /,/

W ,

(1) - (G) (P) ()

(2) - (P) (G)

()

() -

()

() (= 3,1416)

() (G) (P)

x(x)

(])- -

(G) (P)

()

(2)-- (G)

(P)


4/24

48

A.1.

1.1. (. 3-1)

( )

GpG

7

tGnD

H1091,1F

= ()

( )GpG

5

nD

H1026,1

= (-)

GtGsG tanFF =

. 3-1

1.2.

(. 3-2)

( )GpG

7

tGnD

H1091,1F

= ()

( )GpG

5

nD

H1026,1

= (-)

G

GtGsG

cos

tanFF

=

GtGaG tanFF = : (-) FaG= 0

. 3-2

1.3. Zerol -(. 3-4)

zerol , , .(. 3-3) , FtPFtG, -,DmPDmG, , DpPDpG. -:

GpGmG sinbDD =

PpPmP sinbDD =

zerolFtP= FtG

. 3-3zerol -, -.

( )PmP

7

tPnD

H1091,1F

= ()

( )PmP

5

nD

H1026,1

= (-)

PPtPaP sintanFF =

PPtPsP costanFF =

( )GmG

7

tG

nD

H1091,1F

= ()

( )GmG

5

nD

H1026,1

= (-)


5/24

49

GGtGaG sintanFF =

GGtGsG costanFF =

. 3-4.

1.4.

-(. 3-6)

--, , , , -(. . 3-). - ( )(. 3-5). .

-

FtP= FtG

G

PtGtP

cos

cosFF

=

=

P

G

G

PmGmP

cos

cos

N

NDD

. 3-5-- , , , ,.

( )GmG

7

tGnD

H1091,1F

= ()

( )GmG

5

nD

H1026,1

= (-)

GpGmG sinbDD =

. 3-6-.


6/24

50

1.5.

(. 3-7)

:

+

=

=

=

cotcos

tancos

D

Ltan

Dm

Dtan

pW

1

pW

pG1

* 103,0V

146,0V)1034,5(

09,0r

3r

7 +=

=

cos)1091,1(

nDV

4

WpWr ()

* 103,0V

235,0V)107(

09,0r

3r

14 +=

=

cos82,3

nDV

WpWr ()

*-0,015 15/(3 - 3000 /).

. 3-7.

)cossinsin(tancos

FF PPPP

P

tPaP

=

)sinsincos(tancos

FF PPPP

P

tPsP +

=

-

)cossinsin(tan

cos

FF GGGG

G

tGaG +

=

)sinsincos(tan

cos

FF GGGG

G

tGsG

=

)cossinsin(tancos

FF PPPP

P

tPaP +

=

)sinsincos(tancos

FF PPPP

P

tPsP +

=

-

)cossinsin(tancos

FF GGGG

G

tGaG

=

)sinsincos(tancos

FF GGGG

G

tGsG

=

3-A-.

( )WpW

7

tWnD

H1091,1F

= ()

( )WpW

5

nD

H1026,1

= (-)

( )GpG

7

aWnD

H1091,1F

= ()

( )GpG

5

nD

H1026,1

= (-)

= tanFF tWaW

+

=cossincos

sinFF tWsW

( )GpG

7

tGnD

H1091,1F

= ()

( )GpG

5

nD

H1026,1

= (-)

=tan

FF tWtG

( )WpW

7

aGnD

H1091,1F

= ()

( )WpW

5

nD

H1026,1

= (-)

+

=cossincos

sinFF tWsG


7/24

51

1.6.

FtG-. FtG.

. -

aWF .

:

=(. )

pGcmW D98,0d2D =

=

=

pW

1

pW

pG1

D

Ltan

Dm

Dtan

2. -

(. 3-8), , F1-F2(. 3-8). -, -3-:

( )nD

fH1091,1F

m

B7

b

= ()

( )nD

fH1026,1

m

B5

= (-)

=

S

m

N

180sin

PD

fB

..................................................................... 1,00

......................................................................... 1,25

.................................................................... 1,50

3-,-180 .

. 3-8.

3.

, -:

5

2w

c1094,8

nrFF

= ()

4

2w

1052,3

nrF

= (-)

4.

. -, . , , , , . -., , -. , . , . - . Timken -

. , -Timken.

( )WmW

7

tWnD

H1091,1F

= ()

( )WmW

5

nD

H1026,1

= (-)

tGaW F98,0F =

=cos

tanF98,0F tGsW

WpG

7

tGnD

mH)1091,1(F

= ()

( )WpG

5

nD

mH1026,1

= (-)

GpG

7

tGnD

H)1091,1(F = ()

( )GpG

5

nD

H1026,1

= (-)

( )WmW

7

aGnD

H1091,1F

= ()

( )WmW

5

nD

H1026,1

= (-)

=cos

tanF98,0F tGsG


8/24

52

5.

5.1.

, , :

3600

VFH te = ()

mD

V5300n

= (/)

375

VFH te

= (..)

mD

V336n

= (/)

5.2. ,

n2

H60000T

= (-)

60000

Tn2H

= ()

n2

H395877T

= (--)

395877

Tn2H

= (..)

6.

6.1.

- (. . 1-5, . 4). . , - , , ., , - , , -. , -, ,

.. 3-9 , - -. -.

. 3-9-.

6.2.

-, . , , , .

-. , , -. , , - , .. , - .

6.3.

, , . , . .

-

-


9/24

53

6.4.

,

ae , A, B, ... ,

c1, c2, ... (-

),

F , -

Fr , -h (

)H , ..K K -

M -, -v (

)

1, 2, 3 - ,. 3-10

-

:1. , , .2. .3. . , Ft(), Fs() Fa(),F, M.

(1, 23) -

, . 3-10. -, (FrvFrh) , -

. , -.

rBv21tG1sGrAv FcosFsinFcosFF =

rBh21tG1sGrAh FsinFcosFsinFF =

2/12

rBh

2

rBvrB

2/12rAh

2rAvrA

)FF(F

)FF(F

+=

+=

. . 62.

B.1.

1.1. , -

1.1.1 -. : -, , , -, , .. --.

, , , -, , - , , , (-). , - -. -, , Timken.

, -

-.

, . --.

. 3-10.

++++= 3221aGGpG1tG1sG1

e

rBv cosMcosFccosF)sinbD(2

1)sinFcosF(c

a

1F

+++= 3221aGGpG1tG1sG1

e

rBh sinMsinFcsinF)sinbD(2

1)cosFsinF(c

a

1F


10/24

54

-, . .

1.1.2 (L10), L10, -, 90 %

, . L10 90 %-.-, --. -Timken -

6 2(0,01 2). -, --

. -6 2(0,01 2) -, 90 % , , -. 10 % - . (. 3-11) -, () 1,5. L10. .

, Timken

, . - Timken.

1.1.3

:

-. .

- . .

,-. , , , -, . -

Timken , -.

-:

)1090(P

CaaaaL 6

3/10

904321na

= ()

=

n

105,1

P

CaaaaL

63/10

904321na ()

:a1 = , -a2= ,

a3= , a4= , -()

. 3-11, .

(%

)

L10-

Timken 4L10.

, , , L10


11/24

55

, aF ,

:

=

n

105,1

F

CaaaaL

63/10

a

904321na ()

L10- , (. . 60) . Timken L10C90,

, L10, 90. . - C1, L10, 1 .. -, -. , - (.57) , -10/3. ,-L10. , (C1C90) ( Timken )..

1.1.4

- , , . , -, -, . -, -. - , -(360 ).

, , , .. -180 . :

K

F47,0F r)180(a

=

-, -180 180 -.

1.1.5

, 90, -, -180 . - , Fa(180), -. , - , )., 180 180

- . , , -, ,-.

:

ar FYFXP =

- . ,Timken, . ,, -.

1), Timken

)1090(P

CL 6

3/10

9010

= () (1)

=n

105,1

P

CL

63/10

9010 () (2)

:

L10 = ( 90% -)

C90 = -, -L10, 90. (3000 500/)

P = n = , /

: , -12:

)1090(F

CL 6

3/10

ae

90a10

= () (1a)

=

n

105,1

F

CL

63/10

ae

90a10 () (2a)

:

Ca90= -, L10,90.

Fae =

2), (281)

)101(P

CL 6

3/10

110

= () (3)

= n60101

P

C

L

63/10

1

10 () (4)

:

C1 = -, L10,1.

: C1, 3 4, , 90, - Timken, L10 1 ., 281.


12/24

56

1.1.6

-,

Timken: 1 : 2 : 1 : 2

aeB

rB

A

rA FY

F5,0

Y

F5,0+

ae

B

rB

A

rA FY

F5,0

Y

F5,0+

>

ae

B

rB

A

rA FK

F47,0

K

F47,0+

ae

B

rB

A

rA FK

F47,0

K

F47,0+

>

B

rBaB

ae

B

rBaA

Y

F5,0F

FY

F5,0F

=

+

=

ae

A

rAaB

B

rAaA

F

Y

F5,0F

Y

F5,0F

=

=

B

rBaB

ae

B

rBaA

K

F47,0F

FK

F47,0F

=

+

=

ae

A

rAaB

A

rAaA

F

K

F47,0F

K

F47,0F

=

=

ArA

aA eF

F

rAA FP =

ArA

aA eF

F>

rBB

aAArAA

FP

FYF4,0P

=+=

rAA FP =

BrB

aB eF

F , rBB FP =

BrB

aB eF

F>

aBBrBB FYF4,0P =

aAArAA FKF4,0P =

rAA FP < , rAA FP =

rBB FP = aBBrBB

rAA

FKF4,0P

FP

+==

rBB FP < , rBB FP =

L10 L103/10

A

A16

A10P

C

n60

10L

= ()

3/10

B

B16

B10P

C

n60

10L

= ()

n

5003000

P

CL

3/10

A

A90A10

= ()

n

5003000

P

CL

3/10

B

B90B10

= ()

: :

0F

FF

aB

aeaA

=

=

0F

FF

aB

aeaA

=

=

0F

FF

aB

aeaA

=

=

0F

FF

aB

aeaA

=

=

0P

FYP

B

aAAA

==

L10 L103/10

A

A16

A10P

C

n60

10L

= ()

3/10

B

B16

B10P

C

n60

10L

= ()

n

5003000P

CL

3/10

A

A90A10

= ()

n

5003000

P

CL

3/10

B

B90B10

= ()

(, Fae, )

B B

(, Fae, )

B B


13/24

57

1.1.7

, KA= KB

Timken: :

eF

F

r

ae eF

F

r

ae > A

rABae

K

F6,0F

>

A

rABae

K

F6,0F

rCC

aeAB1rABAB

FP

FYFP

=

+=

rCC

aeAB2rABAB

FP

FYF67,0P

=

+=

rCC

B

aeArABA

FP0P

FKF4,0P

==

+=

rCC

aeArABB

aeArABA

FPFK83,0F5,0P

FK83,0F5,0P

==

+=

L10 L103/10

AB

)2(16

AB10P

C

n60

10L

= ()

3/10

C

)2(16

C10P

C

n60

10L

= ()

n

5003000

P

CL

3/10

A

A90A10

= ()

n

5003000

P

CL

3/10

B

B90B10

= ()

n5003000

PCL

3/10

C

C)2(90C10

= ()

C90(2)=2-

KAKB

Timken: L10

A

rABae

K

F6,0F

>

A

rABae

K

F6,0F

aeArABA FKF4,0P = ( )aeBrABBA

AA FK67,1F

KK

KP +

+=

0PB= ( )aeArABBA

BB FK67,1F

KK

KP

+=

rCC FP = rCC FP =

n

5003000

P

CL

3/10

A

A90A10

= ()

n

5003000

P

CL

3/10

B

B90B10

= ()

n5003000

PCL

3/10

C

C)2(90C10

= ()

(, Fae, )

(, Fae, )


14/24

58

1.2.

1.2.1

,-. -

:

Lna = 104321 Laaaa

Lna = , -(100 - n) %

1a = , -

2a = , -

3a = , -

4a = , -

L10 = , 1-4,. 56

1.2.2 , - a1

, , - ,

, (%), -. - , .

, L10, , , - , 90 %-. -, 90%. ,90 %:

3/2

1R

100ln48,4a

= ln =()

L10, -R , -

L10 1a . , 1a1= 90 %,

, 90 % - 1a1< ,

90 % - 1a1> .

1.2.3 , - a2Timken, -,

, 2a = 1.

, , -.

2a .

1.2.4 , - a3

, -

3a , :

m33k33 aaaa = l

k3a = -

l3a =

m3a =

a3k-

-(), . 3-12. -, -.(-) . , , , - , (, , ).

1a k3 = - , ,L10-180.

1a k3 - , -

k3a

Timken.

. 3-12- .

a3m-

- . , -, (. 3-13).

1a m3 = - -, -, 0,0005 .

1a m3 <

180

360


15/24

59

. 3-13.

0,0005 , - . -, , , . P900 , , . - a3m-

, -

P900 ,Timken.

l3a -

Timken , - , , , -. , Timken -

(l3a )

, :

--. . . , , , .(L10a).

grvsjg3 CCCCCCa = ll

:

gC =

lC =

jC =

sC =

vC =

grC =

: -

l3a 2,88. l3a 0,20

0,06 .

-, -40 -.

- gC

CgTS

., -

P900 (. . 64).

-l

C

l

C ,

. 3-14. , -- . Fa, . , -, . -, , -, , (FrA, FrB) (Fae).

. 3-14

(l

C ).

- jC

a) X, KF

FX

a

r

=

b) X > 2,13, 180, :

747,0Cj=

691,0Cj=

X < 2,13, 180,

jC , . 3-15.


16/24

60

. 3-15

( jC ).

- sC

sC , . 3-16, /.

. 3-16

( sC ).

- vC

[- ()] . , . 5-7, . 1205 "". -

(v

C ) , . 3-17.

. 3-17

( vC ).

TM =Timken

- grC

. ,

( grC ).

grC = 0,79

grC = 0,74

1.2.5

- a46 2(0,01 2).

Timken, 1a4= . ,

4a .

1.2.6

Select-A-Nalysis , Bearing Systems Analysis, -

, -, . Timken ,Selecf-A-Nalysis, -. Bearing Systems Analysis - -, ., .

1.3.

1.3.1

, --. -:

R()= nCBA R...RRR

L10, -, L10, :

3/22/3

n10

2/3

B10

2/3

A10

)(10L

1...

L

1

L

1L

++

+

=

1.3.2 -

-, -.

, . , -, . ,


17/24

61

- .

, :

3,0

a

3/10nnn

3/10111

wtn

FTn...FTnF

++=

, :

T =F =n =, /na= () , - . 500/.

:

3,0

minmax

3/13min

3/13max

wt FF

FF

13

3F

=

, :

maxF =

minF =

:

l3a , ,

. , -, L10, . . , -:

:

( ) ( ) ( )n10

n

210

2

110

1wt10

L

T...

L

T

L

T

1L

+++=

, :

T =L10= L10(. 55),

1.3.3 ,

, , -. , , -. , , -. , .


18/24

62

1.3.4

, 3-:

( ) ( )

=

2

1

3/10

2

1110210 n

n

P

PLL

( ) ( )

3/7

1

2110210 n

nLL

=

( ) ( )

3/7

1

2

3/10

2

1

110210 n

n

H

HLL

=

( ) ( )

3/10

2

1

110210 P

PLL

=

( ) ( )

=

2

1110210 n

nLL

( ) ( )

3/10

2

1110210 H

HLL

=

3-C-.

P = ,

-,

A

32012XC1A= 89600YA=1,39eA=0,43C90A= 23200KA=1,36

B

32011XC1B= 88000YB=1,48eB=0,41C90B= 22800KB=1,44

n = 600/ = 60C

= VG46

Fae= 4000FrA= 9000

FrB= 7000

Timken:

:

400048,1

70005,0

39,1

90005,0+

aAArAA0 FK564,0F5,0P =

ae

B

rB

A

rA FK

F47,0

K

F47,0+

>

ae

A

rAaB

A

rAaA

F

K

F47,0F

K

F47,0F

=

=

BrBaB K/F6,0F >

aBBrBB0 FK564,0F5,0P =

BrBaB K/F6,0F <

aBBrBB0 FK269,1F6,1P =

rAA0 FP =

:Fr=Fa=FaAFaB.

: P0C0, P0-, Fr.

(, Fae, )

BB


21/24

65

C.- M

, , -.

1.

- . , . - , -, . , -, .. "".

3,0

A

rA162,0A11A

KFf)n(GkM

=

1

a) 2F

FK

rA

aAA

>

8,0ff

F

FKf

12

rA

aAA1

+=

=

b) 2F

FK47,0

rA

aAA

<

f1, f2: 67

c) 47,0F

FK

rA

aAA =

78,1f

06,0f

2

1

=

=

3,0

A

aA62,0A11A

K

F06,0)n(GkM

=

:

aeB

rB

A

rA FK

F47,0

K

F47,0+

B

rBaB

ae

B

rBaA

K

F47,0F

FK

F47,0F

=

+

=

2 78,1f

06,0f

2

1

==

3,0

B

aB62,0B11B

K

F06,0)n(GkM

=

3,0

B

rB162,0B11B

K

Ff)n(GkM

=

1

a) 2F

FK

rB

aBB >

8,0ff

F

FKf

12

rB

aBB1

+=

=

b) 2

F

FK47,0

rB

aBB

<

f1, f2: 67

c) 47,0F

FK

rB

aBB =

78,1f

06,0f

2

1

==

3,0

B

aB62,0B11B

K

F06,0)n(GkM

=

aeB

rB

A

rA FK

F47,0

K

F47,0+

>

ae

A

rAaB

A

rAaA

FK

F47,0F

K

F47,0F

=

=

2 78,1f

06,0f

2

1

==

3,0

A

aA62,0A11A

K

F06,0)n(GkM

=

MAMB

3/2

r2

2

2

K

Ff

G

kn

<

(, Fae, )

B B


22/24

66

2.

a)

Fr

A

rABae

K

F47,0F

>

aeaA

rABrA

FF

FF

==

2

F

FK47,0

8,0ff

F

FKf

2F

FK

rAB

ae

12

rAB

ae1

rAB

ae

+=

=

>

f1, f2: 67

3,0ae

62,0A11A )F()n(GkM =

3,0

rAB162,0A11A

K

Ff)n(GkM

=

A

rABae

K

F47,0F

aerAB

rB

aerAB

rA

FK06,12

FF

FK06,12

FF

=

+= )FF(

K

060,0)n(GkM

3,0rB

3,0rA

3,0

62,011 +

=

a)

3,0

C

rC62,0C11C

K

F030,0)n(Gk2M

=

AM

3/2

rA2

2

2

K

Ff

G

kn

<

ABM

3/2

rA

2

2

K

F78,1

G

kn

<

CM

3/2

C

rC

2

2

K

F890,0

G

k

n

<

M = , -(-)

rF = , (-)

1G =

2G =

K = Kn = , /

1k = 2,56 x 10-6() 3,54 x 10-5()

2k = 625 () 1700 ()

= , .(. 3-18).

1f = (. 3-17)

2f = (. 3-17)

(, Fae, )

B B


23/24

67

f1 f2

0,2F/FK ra >

8,0ff

F/FKf

12

ra1

+==

0,2F/FK47,0 ra

47,0F/FK ra =

78,1f

06,0f

2

1

==

. 3-17f1f2.


24/24

. 3-18-(, ) /ASTM. : -90; 0,875 40C.

,-(,)

/ASTM

Timken Calculating 3 Opt

Documents

Transcript of Timken Calculating 3 Opt