Передачи конические: Методические указания по расчету закрытых передач для студентов инженерно-технических специальностей в курсовых и дипломных проектах

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  • .. , .. , ..

    -

    -

    2004

  • 34.445 73 56

    621.333.2(07)

    , ..

    .., .., .. :

    56

    - . : , 2004. 34 .

    21354-87 . - .

    34.445 73

    .., 2004 .., 2004 .., 2004 , 2004

    2

  • , . (10 ), (

    00 170 34 /) .

    , .

    , , , .

    3

  • 2

    2.1 ,

    , ( ) ( ) , , .

    1, 2.

    , : - 1, ; - 2, ; - n1, /; - n2, /; - u ; - Lh, ; - . : - , ; ..- () ( ) , ; ..

    - ()

    MAX

    TT .

    2.2

    , , , [3, c.11, .2.1], [4, c.170-171, .8.7]. , , . : 1) 350 ; 2) 350 , , . 350 1 2 ,

    4

  • : 1= =2+(2050).

    (RC1 RC2 HRC40) .

    , , , . , , . , , .1.

    2.3

    [3, .12]: 0 ; I ; II ; III ; IV ; V - . , 1. 1 0 I II III IV V

    1 0,77 0,5 0,5 0,42 0,31

    2.4

    2.4.1 , , NHG NFG. , NHG ( ) HRC ( , , ). NHG , :

    NHG = 30()2,4 , 350 ( ),

    5

  • NHG =340 (HRC )3,15 + 8 106 , 350 ( ).

    HRC , .1:

    ( ) 2minmax HBBB += ( ) 2minmax HRCRCRC += . NFG = 4106 [1, c.27].

    2.4.2 N

    :

    1N

    2N

    1N = 160 nLh ; 2N = 260 nLh ; - , ; hL n1 , n2 , /; - ( ).

    2.5 []H , []F

    2.5.1 :

    H

    OHH S

    =][ ,

    SH : SH = 1,1 , SH = 1,2 ; : OH = 2 + 70 , ; OH = 17HRC +200 , ; = 23HRC , ; =1050 . , [ ] () . , ..

    6

  • [ ] H=[ ] Hmin=[ ] H2. [ ] = 0,45 ([ ] 1 + [ ] 2) ,15[ ] 2, 2 < 1.

    2.5.2

    FCF

    OFF kS

    = ][ , ,

    OF : OF = 1,8 , ; OF = 600700 ; OF = 500600 ( m

  • 2.6.3

    2.6.3.1 1) ( ): - ; 05,1)1(0 += XXK HH - 1,1)1(0 += , (..2.3); 0 = 1,7 ,

    00

    = .

    2) ( ): - ; 0 HH K =

    - 2,10 = .

    2.6.3.2 1) : - ;XXKK FF += )1(

    0

    - 08,1)1(0 += XXK FF . 2) : - ; 0 FF K =

    - 15,10 = FF .

    2.6.4 HK FK :

    - 1= mHG

    NN ,

    - 1= mFG

    FEF NN ,

    FE, , (. .3); m (. .3); N c (. . 2.4.2); NFG, NHG , (..2.4.1).

    8

  • 1, 1>H >FK 1=H [4, .177-178]. 1=FK

    2.6.5 HV, KFV HV KFV .5 .6 , . HV KFV (, 8- HV KFV 9- ). HV KFV , (. .7). V ( / ) : m

    3 22

    v

    1m u

    TnV = ,

    2 , ; v (. .4), ( ).

    , .5 .6, HV KFV . 2.6.6 , F

    = V, - (. .2.6.3.1); V - (. .2.6.5) KF = KF KHV , KF - (. .2.6.3.2); KHV (. .2.6.5).

    2.7 THE2, TFE2 THE2 = KH 2; FE2 = F T2, , F (...2.6.4).

    9

  • 3 19624-74 19326-73 .

    3.1 d 2e

    3 22'

    2 ][1750

    HH

    HEHe

    TuKd

    = (),

    (. . 2.6.6.); 2 , (. . 2.7.); [] , (. . 2.5.); H , .8.

    () 12289-76, :

    '2ed

    2ed1- : 50; 63; 80;100; 125; 160; 200; 250; 315; 400; 500; 630; 800; 1000; 1250 2- : 56; 71; 90; 112; 140; 180; 225; 280; 355; 450; 560; 710; 900; 1120;1400 [6, c.49] . 2ed

    3.2 1ed

    u

    dd ee 21 = , .

    . 1ed

    10

  • 3.3 1

    u .

    1ed'1Z

    '1Z

    '1Z

    40 60 80 100 125 160 200 , 1ed

    '1Z

    1ed

    )

    u=1 u=2 u=3,15 u=4 u=6,3

    )

    40 60 80 100 125 160 200 ,

    25

    20

    1510

    u=1 u=2 u=3,15 u=4 u=6,3

    25

    20

    15 10

    1 : ) )

    '6,1 ZZ =

    1

    '1Z

    1Z : 11 ( 350 );

    '11 3,1 ZZ =

    ( 350 ), ( 350 );

    '11 ZZ =

    ( 350 ). . 1Z

    3.4

    .12 uZZ =

    . 2Z

    11

  • 3.5 u

    1

    2

    ZZu = .

    :

    %]4[%100

    =uuu

    u .

    3.6

    3.6.1

    me = de2 / z2 , . mte = de2 / z2 , . me(mte) 1,5 [1, .50]. .

    , , , . , .

    3.6.2 2 , 1

    2 = arctg u , 1 = 900 2 , .

    3.6.3 eR

    15,0 22 += uu

    dR ee .

    3.6.4

    b2 = b1 = ebR Re ,

    ebR

    = 0,285 12289-76.

    , Ra20 6636-69 ( ): 12; 14; 16; 18; 20; 22; 25; 28; 32; 36; 40; 45; 50; 56; 63; 71; 80; 90; 100. Ra40 6636-69.

    12

  • 3.6.5 de1 = me Z1 ; de1 = mte Z1 ; de2 = me Z 2. de2 = mte Z 2.

    3.6.6.

    dae1 = de1 + 2(1+Xe1) me cos 1; dae1 = de1 +1,64 (1+Xn1 ) mte cos 1; dae2 = de2 + 2(1+Xe2) mecos 2. dae2 = de2 +1,64 (1+ Xn2 ) mte cos 2.

    Xe Xn .9 .10. , Z1 .9 .10, , : .10 Z

    u

    1 = 17 Z1 = 18. [4, .122] :

    Xe2 = Xe1 . | Xn2 = Xn1. 3.6.7

    dfe1 = de1 2(1,2Xe1)me cos 1; dfe1 = de1 1,64 (1,25Xn1 ) mte cos 1; dfe2 = de2 2(1,2Xe2)me cos 2. dfe2 = de2 1,64 (1,25 Xn2 ) mte cos 2.

    3.6.8 Rm Rm = Re 0,5 b2 , .

    3.6.9 mm , mmn

    e

    mem R

    Rmm = , . C

    mmmn Z

    Rm cos2 = , ;

    3.6.10

    d1 = mmZ 1 ; d1 =

    d2 = mmZ 1, . d 2 =

    3.6.11

    d1

    100060

    11

    =

    ndmV

    , /.

    m = 29450 , 0 22 ZZZ += d1 d2

    mmn

    Zmcos1 ;

    mmn

    Zmcos2 , .

    m = 35 ; 21c .

    13

  • 3.7

    3.7.1

    H ( ) :

    He

    HEHH d

    uK ][1012,7 32

    24

    = .

    () :

    %100][

    ][

    =

    H

    HH

    .

    5 % ( ), 1012 %. (. .3.1) .3.2.

    2ed

    3.7.2

    3.7.2.1

    F2

    222

    23

    22 ][

    1073,2F

    eeF

    FFFEF mbd

    YKT

    =

    222

    23

    22 ][

    1073,2F

    teeF

    FFFEF mbd

    YKT

    =

    F (..2.6.6); TFE2 , (. .2.7); F (. .8); b2 , ;

    me, mte , ;

    []F2 (..2.5); YF2 , Zv :

    )7115411293,08,21(6,3 2

    2

    2

    22

    VVF Z

    XXZX +

    ++

    =Y ,

    ZV2 :

    ZV2 = Z2 / cos 2 , | Z V n 2 = Z2 / (0,55cos 2);

    14

  • X .

    3.7.2.2

    122

    11 ][ FF

    F

    FF Y

    Y = .

    YF1 [] F1 .

    3.7.3

    MAX

    T

    T

    =.

    . .

    > 2 , > 3 . m: maxmax ][ HHH = ,

    [ ]Hm , : [ ]Hm = 2,8 2, 2 . Fmax 2: 2max22max ][ FFF = ,

    [ ]Fmax2 , :

    [ ]F max 2 = 2,742, 2 .

    3.8 ,

    3.8.1 ,

    2

    32 102d

    TFt

    = ,

    (); 2 (). 2d

    15

  • 3.8.2 ,

    F a 1 = F t tg sin 1 | F a 1 = F t a , () (=200); a (. .11).

    3.8.3 ,

    F r 1 = F t tg cos 1 | F r 1 = F t r , r - (. .11). 3.8.4 , F a 2 = - F r 1 .

    3.8.5 , F r 2 = - F a 1 . , - . 1 r .

    2 , F a 1 F a 2 , :

    - , ;

    - -.

    16

  • 4

    4.1 1, 116,25. 2, 465. n1, / 975. n2, / 243,75. u = 4. Lh , 24000. III. . : - , 15; ..- , 13,24; ..- / = 2.

    4.2

    4.2.1 .1 :

    - : 40 4543-71: , 1 269302, 1 = 950 , 1 = 780 ;

    - : 40 4543-71: , 235262, 2 = 800 , 2 = 630 .

    4.2.2 1 = (min1 + HBmax 1) / 2 = (269 + 302) / 2 = 285,5; 2 = (min2 + HBmax2) / 2 = (235 + 262) / 2 = 248,5.

    4.2.3 N1 N2

    N1 = 60 Lh n1 = 60 24000 975 = 14,04 10 8 ; N2 = 60 Lh n2 = 60 24000 243,75 = 3,51 10 8 (. .6 7).

    4.2.4 , NHG1 NHG2 (. .6)

    NHG1 = 30 (HB1)2,4 = 30 285,52,4 = 23,47 10 6;

    17

  • NHG2 = 30 (HB2)2,4 = 30 248,52,4 = 16,82 10 6 .

    4.2.5 ,

    ( . .6):

    NFG1 = NFG2 = 4 106 .

    4.2.6

    (. .78): 1 = 21 + 70 = 2285,5 + 70 = 641 ;

    2 = 22 + 70 = 2248,5 + 70 = 567 ; F1 = 1,81 = 1,8285,5 = 513,9 ; F2 = 1,82 = 1,8248,5 = 447,3 .

    4.2.7 []H []F

    (. .78) 1)

    [ ]H1 = H1 / SH = 641 / 1,1 = 582,7 ; [ ]H2 = H2 / SH = 567 / 1,1 = 515,4 G; SH=1,1 ( . .7). []H :

    - : [ ]H=[ ]Hmin=[ ]H2= 515,4 (. .7); - :

    [ ] H= 0,45([ ]H1 + [ ]H2) = 0,45(582,7 + 515,4) = 494,2 , [ ] H= 494,2 1,15[ ]Hmin= 1,15515,4=592,7 (. .7). 2) : [ ]F1 = OF1 / SF = 513,9 / 1,75 = 293,7 ; [ ]F2 = OF2 / SF = 447,3 / 1,75 = 255,6 . SF =1,75 ( . .8).

    4.2.8 []Hmax []Fmax

    18

  • 1) [] Hmax [ ] Hmax = 2,8 2 = 2,8 630 = 1764 (. .15). 2) []Fmax1 []Fmax2

    [ ]Fmax1= 2,74 1 = 2,74 285,5 = 782,3 ; [ ]Fmax2 = 2,74 2 = 2,74 248,5 = 680,9 (. .15).

    4.3

    4.3.1 d1 68,014166,01166,0 221 =+=+= ud , d10,6.

    .2 K0H = 2,4. III = 0,5 (. . 2.3).

    4.3.2 - : = 0 (1 ) + = 2,4 (1 0,5) + 0,5 = 1,7 - : 3,15,0)5,01(4,2)1(0 =+=+= .

    4.3.3 , .

    74,34

    465800975

    32

    3221 ===

    uT

    cnV

    vm /, | 0,34

    4651000975

    32

    3221 ===

    uT

    cn

    vmV /,

    , .4: =800, =1000.

    vv v

    .7 8-. | 8-.

    4.3.4 .5 K HV = 1,42 K HV = 1,04

    9- (. .9). 8- (. .10).

    4.3.5 = V = 1,71,42 = 2,9414.| = V = 1,31,04 = 1,352.

    19

  • 4.3.6 .8 = 0,85. | = 1,22+0,21u = 1,22+0,214 = 2,06.

    4.3.7 III- : = 0,56, m = 3 (. .3).

    :

    54,11082,16

    1051,356,0 3 68

    3

    2

    2 =

    == HG

    NN > 1,

    (. . 2.6.4). 1=

    4.3.8 2 = 2 = 1 465 = 465 . 4.3.9

    32

    2`2 ][

    1750HH

    HEH

    TuKd

    = ,

    1,4744,51585,0

    4654414,21750 3 2`2 =

    =ed . | 3,2991,49406,2

    4654352,11750 3 2`2 =

    =ed .

    (. . 3.1, .11) de2 = 450 . | d e2 = 315 .

    4.3.10

    d e1 = d e2 / u = 450 / 4 = 112,5 . | d e1 = d e2 /u = 315 / 4 = 78,75 .

    4.3.11 '1Z 1- = 17 '1Z

    ;2,27176,16,1 '11 === ZZ == 6 25 2' duKZ 2 e

    1- 13'1 =Z ;8,20136,16,1 '11 === ZZ

    (. .11-12). 11 Z1=27(. .11-12). Z2=82. 2Z =

    4.3.12 Z2 = Z1 u = 274 = 108. Z2= Z1 u = 214 = 84.

    20

  • 4.3.13 u u = Z 2 / Z1 = 108 / 27 = 4. | = Zu 2 / Z1 = 84 / 21 = 4.

    ,

    .

    4.3.14 1 , 2 2 =arctg u =arctg 4=75,9638

    0; 2=arctg u =arctg 4=75,96380;

    1=900 2=90075,96380=14,03620. 1=900 2=90075,96380=14,03620. 4.3.15

    me = de2 / Z2 = 450 / 108= 4,17 . | mte = de2 / Z2 = 315/ 84 = 3,75 .

    4.3.16 (. .9 .10) 1 = 0,38; n1 = 0,29; 2 = 1= 0,38. n2 = n 1= 0,29.

    4.3.17 dae1=de1+2(1+Xe1) mtecos1=112,5+ +2(1+0,38)4,17cos14,03620= =123,67 ; dae2=de2+ 2(1+Xe2) mte cos2 =450+ +2(1+(0,38))4,17cos75,96380= = 451,25 .

    dae1=de1+1,64(1+Xn1) mtecos1=78,75+ +1,64(1+0,29)3,75cos14,03620= =86,45 ; dae2=de2+1,64(1+Xn2) mtecos2=315+ +1,64(1+(0,29))3,75cos75,96380= =316,06 .

    4.3.18

    dfe1 = de1 2(1,2Xe1)mte cos 1= =112,52(1,20,38)4,17cos14,03620= = 105,87 ;

    dfe2 = de2 2(1,2Xe2)mte cos 2= =4502(1,2(0,38))4,17cos75,96380= =446,804 .

    dfe1 = de1 1,64 (1,25Xn1 ) mte cos 1 = =78,751,64 (1,250,29)3,75cos14,03620 = =73,02 ; dfe2 = de2 1,64 (1,25 Xn2 ) mte cos 2=

    =3151,64 (1,25(0,29))3,75 cos75,96380= =312,703 .

    4.3.19 eR

    .92,2311444505,0

    15,0

    2

    22

    uu

    dR

    ee

    =+

    =

    =+

    =

    .35,1621443155,0

    15,0

    2

    22

    uu

    dR

    ee

    =+

    =

    =+

    =

    4.3.20 b2 = b1 = bRe Re=0,285231,92= b2 = b1 = bRe Re=0,285162,35= = 66,09 ; = 46,27 ;

    21

  • bRe=0,285 (. .13). : b2 = b1 = 67 . | b2 = b1 = 48 .

    4.3.21 Rm Rm= Re 0,5b2 = 231,92 0,567 = = 198,42 .

    Rm= Re 0,5b2 = 162,35 0,548= = 138,35 .

    4.3.22 mm mmn

    e

    mem R

    Rmm = =92,23142,19817,4 =

    = 3,57 . C

    mmmn Z

    Rm cos2 = =2 59,8635cos35,138

    0 =

    = 2,61 ; : m = 350 (. .13)

    .59,868421 222221 =+=+= ZZZc

    4.3.23 ,

    d1=mm Z1=3,5727=96,39 ; d1= (mmnZ1)/cosm = =2,6121/cos350= 66,91 ; d2=mmZ2=3,57108=385,56 . d2 = (mmnZ2)/cosm = = 2,6184 / cos350 = 267,264 .

    4.3.24 Vm

    Vm = 10006011

    nd = =

    10006097539,9614,3 Vm = 100060

    11

    nd = =

    10006097591,6614,3

    = 4,92 /. = 3,41 /.

    7- (. .7)

    4.3.25 HV = 1,19 8-

    (. .5 .9).

    4.3.26 KH = KH...

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