УНИВЕРЗИТЕТ 'СВЕТИ КИРИЛ И МЕТОДИЈ' zadaca... · МАШИНСКИ ЕЛЕМЕНТИ 2 УНИВЕРЗИТЕТ „СВ. КИРИЛ И МЕТОДИЈ“ –

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  • " "

    -

    ( )

    . -

    . -

    . -

    . -

    , 2014

  • 2

    .

    - . 2

    Z3, S, Z1 R. : 1. , . 2. . 3. (

    ). 4. :

    ) )

    5. .

    6. 1 : ) ,

    . ) .

    : 8 9 10 1 K 2K 3K kW Z1 2 0,5P1 P1 2P1 kW R 4 P1 P1 P1 kW L 50K 60K 70K mm n 12,3 16,6 24,3 s

    -1

    Z1 1 90 180 270

    Z3 3 0 90 270

    R R 0 90 270

    Z3 12 13 15

    Z1 2 29 33 40

    G1=100N G2=90N G3=120N G4=110N D1=130 mm D2=120 mm D3=150 mm D4=110 mm

    :________________________ :___________________ :___________________ :___________________

    B

    Z3

  • 3

    :

    1. ................. 4

    1.1. ............................................................................................ 4

    1.2. ................................................................ 4

    1.3. . ................................................................. 4

    1.4. .................................................................................... 5

    1.4.1. S - 1 ............................................. 5

    1.4.2 Z1- 2. ............................. 5

    1.4.3. Z3- 3 ......................... 6

    1.4.4. R- 4 ........................................ 6

    1.4.5. ............................................................................ 7

    2. ................................... 8

    2.1. (H) ................................................................................................ 8

    2.2. (V) .................................................................................................... 8

    3. ........................................ 8

    3.1. ............................................................................................. 8

    3.2. .................................................................................... 8

    4. ............................................................................... 9

    4.1. ..................................................................................... 9

    4.2. ............................................................................................. 9

    5. ............................................................................. 9

    6. ................................................................................. 10

    6.1.

    ...................................................................................................................................... 10

    6.2. ............... 10

    6.3. - ...................................................................... 10

    7. ..................................... 11

    7.1. ......................................................................................................... 12

    8. () ............................................... 12

    8.1. .................................................................... 12

    8.2. ........................................................................ 12

    8.3. .......................................................................................... 13

    8.4. ................................................................. 13

    8.5. () ...................................................................... 13

    9. ...................................................................................... 13

    9.1. ..................................................................... 13

    9.2. ( ) ..................... 14

    10. ................................................................................................ 14

    10.1. - ...................................................................... 14

    10.2 .............................................. 14

    10.3. - .................................................................................................. 15

    11. ................................................................... 15

    11.1. .1,2,3,4 .................................................................................... 15

    11.2. - ....................................................... 15

    11.3. - ....................... 15

    12. ...................................................... 15

    13. ....................................15

    14. ................................................................................16

  • 4

    1.

    1.1.

    Z 3

    3 = 421 kW

    1.2.

    Ai

    in

    T 159155 mm

    : ][kWPi ,

    ][ 1 sn , i 1, 2, 3, 4, A

    .

    5.11 .

    1.3. .

    :

    i

    ti

    DF

    2 i 1, 2, 3, 4

    mmDi .

    Z3

  • 5

    1.4.

    90,270 31 270R

    .

    1.4.1. S - 1

    S, 1G .

    1.4.2 1Z - 2.

    2tF

    . 2tF 1.3.

    222 cos tgFF tr

    222 sin tgFF tx 2G

    20

  • 6

    1.4.3. 3Z - 3

    3xF

    2xF .

    cos33

    tgFF tr tgFF tx 33 3G

    1.4.4. R- 4

    4 :

    44 2 tFF

    4G =

    -

    Z3

    270R

  • 7

    1.4.5.

    .

    4

    .

    :

    01 HF

    ....22 tH FF ....33 tH FF

    04 HF

    :

    ....

    ....

    ....

    ....

    444

    333

    222

    11

    GFF

    GFF

    GFF

    GF

    V

    rV

    rV

    V

  • 8

    2.

    2.1. (H)

    . : , .

    4 .

    MAH=0, FBH MH=0, FH

    2.2. (V)

    .

    3.

    3.1.

    22

    AVAHAFFF

    22

    BVBHBFFF

    xxAX

    FFF32

    3.2.

    22

    sviSHiSiMMM mm

  • 9

    i = A,2,3,B

    i = 1 4 0 SM

    4.

    ( ) .

    0...

    .. 30

    ........... :

    D -

    D -

    4.1.

    )

    2mm

    YYY

    K

    NRX

    DD

    )

    2mm

    YYY

    K

    NRX

    DD

    :

    YX

    = 0.81

    YX

    =0.7 -

    YR

    = 0.9-

    Y N = 1 -

    K = 1,5 -

    4.2.

    1,5 2,5

    S=

    :

    S

    D

    sd

    2mm

    :

    S

    D

    td

    2mm

    5.

  • 10

    0;0 TM S

    2

    2

    2

    j

    D

    D

    SjVjTMM

    mm

    : j = A,2,3,B, j = 1,4 0 SM

    3

    0 ( ).

    .

    3 21 TT , 4T ,

    .

    2, 2

    21 TT

    6.

    6.1.

    3

    32

    Sdoz

    Vj

    ij

    Md

    mm j = A,2,3,B

    6.2.

    3

    16

    tdoz

    j

    ij

    Td

    mm j = 1,4

    6.3. -

    ijstj dd 3,11,1

    1, 2, 3, 4 10 - 30%,

    ,

    5.

    .

    0 5.

    :

    stBstA dddd 41 ;

    ().

  • 11

    7.

    b h t

    .7.2

    .

    std 95mm .7.13

    1 . - .

    .

    .

    4,3,2,1

    2

    j

    mmpttd

    Tl

    djjSTj

    j

    kj

    :

    jT -

    210050

    mm

    Npd .

    std b h t kstl

    1

    2

    3

    4

    , dp

    120

    kjl - 5.

  • 12

    7.1.

    ()

    SdozKSTjSTjj

    j

    Sldb

    T

    2

    29060

    mm

    NSD

    j = 1,2,3,4

    8. ()

    8.1.

    3,2

    232

    3

    23

    j

    mmd

    tdtbdZ

    STj

    jSTjjjSTj

    j

    BAj

    mmd

    Z STjj

    ,

    32

    3

    3

    8.2.

    4,3,2,1

    216

    3

    23

    j

    mmd

    tdtbdZ

    STj

    jSTjjjSTj

    oj

    33

    16mm

    dZ STj

    oj

    j = , B

  • 13

    8.3.

    ) :

    2mm

    N

    Z

    M

    j

    Sj

    Sj j = ,2,3,

    )

    2mm

    N

    Z

    T

    oj

    j

    nj j = ,1,2,3,4,

    8.4.

    )

    Sj

    D

    ojS

    j = ,2,3,

    )

    nj

    D

    jS

    j = ,1,2,3,4,

    8.5. ()

    ) 0;0 TM S

    22

    jj

    jj

    j

    SS

    SSS

    j = ,2,3,

    ) 0;0 TM S

    jj SS j = 1,4

    .

    9.

    9.1.

    :

    NFYFVXFxjrjej

    j = ,

    j = ArA FF

    j = BrB FF ()

    xjF - .

    .

    yvxFx ,,;0

    x y

    eF

    F

    r

    x

    ( : 11.06 11.11) .

    ( .11.05) .174.

    V=1- .

  • 14

    9.2. ( )

    :

    kNnLFKKSC pejAj ...... j = , :

    p=3 - , S=0,153

    3

    10p - , S=0,18488

    K - ( .12.37 )

    AK - ( .12.38 )

    hL - - ( .12.39 ) 1sn - ejF - ( .9.1 ) kN

    jTah CC .

    10.

    .

    10.1. -

    10.2 .132

    1std 1T

    10.2

    )

    2

    1

    1

    Dz

    TF

    t

    N

    z 2D (.10.05 )

    )

    4,22

    44

    1

    dxl

    Fp t

    2mm

    N

    : 4 4 .10.09

    )

    8.8.

    :

    32

    3

    )4(1D

    Z

    3mm (4)- 4

    - :

    x

    lFM

    tS

    2

    4

    1 Nmm

    - :

  • 15

    2140

    mm

    N

    Z

    MSdoz

    S

    S

    10.3. -

    - .10.04 .129.

    d 1std cm . mm. 10.1 . 129.

    11.

    11.1. .1, 2, 3, 4

    () 6

    7

    j

    H.

    :

    - , .

    11.2. -

    9

    9

    h

    P

    9

    9

    h

    N.

    - .

    11.3. -

    )1.5.(6

    )1.5.(8

    Tk

    TH

    12.

    9.4.4 . 122 .

  • 16

    13.

    1.4.2 2

    z - 2.

    270,180 31 90R

    gonet

    pogonski