ШЕЙКООБРАЗОВАНИЕ ТОНКОСТЕННОЙ ТРУБНОЙ ЗАГОТОВКИ ИЗ АНИЗОТРОПНОГО МАТЕРИАЛА ПРИ РОТАЦИОННОЙ ВЫТЯЖКЕ КОНИЧЕСКИМИ РОЛИКАМИ ПО ПРЯМОМУ СПОСОБУ

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  • 13

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    - [6, 7]:

    1222)()()( 222222 =+++++ zrzrzzrr NMLHGF , (1) NMLHGF ,,,,, - , -

  • . . 2013. . 1

    14

    , zyx ,, rz ,, .

    [6, 7]:

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    +

    =

    =

    +

    =

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    =

    ;1

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    [6, 7] :

    [ ( ) ( )]; 2 ;

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    [ ( ) ( )]; 2 ,

    z z z r z z

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    d d F H d d L

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    = + = = + = = + =

    (2)

    d - . (2)

    =

    ++=

    =

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    rzrz

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    ,

    0;0;0 === rzrr dd .

  • 15

    =

    ++=

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    ,2

    ;)(

    ;)(

    Nd

    d

    HFGHGFd

    GdHd

    HFGHGFd

    HdFd

    zz

    r

    rzz

    (4)

    iidd = . (5)

    id , [6, 7],

    +

    +++

    ++++=

    22)(

    3

    2

    HFGHFG

    FdHdG

    HFGHFG

    HdGdFHGFd zrri

    1/22 2 2 2

    ,2 2 2

    z r rz zFd Gd d d dHFG GH HF L M N

    + + + + + +

    , 0=rd ; 0=rzd , = ddd zr , :

    +++

    +++= 2)(

    32

    dHFGHFG

    HGHGFd i

    .2

    22/12

    2

    +++

    +++

    ++ Nd

    ddHFGHFG

    Hd

    HFGHFG

    FH zzz (6)

    i -

    +++++

    = 222 )()()([

    )(2

    3zzrri HGFHGF

    .]222 2/1222 +++ zrzr NML (7) (1),

    )(2

    3

    HGFi ++= . (8)

    d , (8) (5), :

    i

    iii

    d

    HGFdd

    ++==

    )(2

    3. (9)

    (1)

  • . . 2013. . 1

    16

    12)( 2222 =+++ zzz NHGF , (10)

    ;)()(

    32

    rzi

    iz HdFddHFGHFG

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    ++

    ++=

    );()(

    32

    ++++= GdHd

    dHFGHFG

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    i

    i (11)

    ++= z

    i

    iz ddN

    HGF )(31

    .

    . [7, 8]:

    0=dP (12)

    0=dM , (13)

    ,,2

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    rRrrtP d

    dz =

    +== (14)

    r - ; t - ; dRr ,0 - - ;

    = ztr22 . (15)

    (12) ,

    0=

    ++t

    dt

    r

    drd zz . (16)

    ,

    zdt

    dt

    r

    dr =+ .

    z .

    2F

    )()(

    3

    2rz

    i

    iz HdFddHFGHFG

    HGF

    ++

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    zr

    zd

    d

    G

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    d

    d

    F

    HR

    ==

    == , ,

    .1

    13

    22 z

    zi

    i

    z

    zzz dR

    R

    dRRRR

    RRRR

    ++

    ++

    ++=

    (17)

    ,

    ;0=++ rz ddd =

    z

    rd

    d.

    1

    1

    zR+

    , = zdd -

  • 17

    zd

    constcd

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    z=

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    . (19)

    , .

    (6) . - (6) F -

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    . (20)

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    RRRRd

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    13

    22

    (21)

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    = . (22)

    (16), (22),

  • . . 2013. . 1

    18

    i

    izz d

    dA

    = . (23)

    ,

    ++

    ++= z

    i

    i

    z

    zz

    i

    iz ddR

    RR

    R

    ddN

    HGF1

    3

    1

    3

    1, (24)

    (17),

    =

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    z .

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    2

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    zz

    zzzz

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    =

    ++++

    ++

    ++

    (25)

    i , - 0=dP ,

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    12

    3 21

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    Rd

    dA z

    z

    z

    i

    izi

    ++

    ++

    = (26)

    ,

    )2(22 22 dtrrdrttrddM zz ++= , (13) :

    02 =

    ++ tdt

    r

    drd zz . (27)

    (23)

    ++= z

    i

    iz dd

    d

    N

    HGFd

    )(

    3

    1. (28)

    (28), = drdr

    ; rdt

    dt = ,

    , ,

    zz

    r dRr

    drd

    +==

    1

    1,

    (27) (23)

    zz

    z dR

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    3

    1cB

    A

    RR

    R

    R

    Rc

    z

    z

    z

    z

    z

    z =++

    ++=

    . (29)

  • 19

    , i , - 0=dM ,

    2/121

    212

    12

    3

    ++

    ++

    =

    cBRRR

    R

    d

    dA

    RR

    Rz

    zi

    iz

    z

    i . (30)

    - - - .

    - 2012-2014 .

    1. .. .

    .: . 1971. 239 . 2. ..

    . .: . 1983. 190 . 3. : : 4 . . 4. /

    . . .. . 2- ., . . .: -, 2010. 732 .

    4. .. - . : - , , 2002. 148 .

    5. .., .., .. . .: , 2009. 265 .

    6. .., .., .. - . : , 1997. 331 .

    7. .., .., .. / . .. . .: -, 2012. 400 .

    8. : / .. [ .]; . .. , .. . .: -, 2009. 442 .

    , - . , ., mpf-tula@rambler.ru,

    , , ,

  • . . 2013. . 1

    20

    , mpf-tula@rambler.ru, , , -

    , . . , ., mpf-tula@rambler.ru, ,

    ,

    THE NECKING OF THIN-WALLED PIPED DETAIL FROM ANISOTROPIC MATERIAL IN THE PROCESS OF ROTARY DRAWING BY CONE-SHAPED ROLLERS

    BY THE DIRECT PROCESS

    V.I. Tregubov, E.V. Osipova, K.S. Remnev The thin-walled piped detail from anisotropic material necking criterion for rotary

    drawing by cone-shaped rollers by the direct process on the basis of extra load positiveness condition is provided.

    Key words: rotary drawing, anisotropic material, pipe, roller, mandrel, power, feed step, deformation level.

    Tregubov Viktor Ivanovich, doctor of technical science, professor,

    mpf-tula@rambler.ru, Russia, Tula, Tula State University, Osipova Elena Vitalievna, ingineer mpf-tula@rambler.ru, Russia, Tula, Tula State

    University, Remnev Kirill Sergeevich, candidate of technical sciences, docent,

    mpf-tula@rambler.ru, Russia, Tula, Tula State University

    621.771

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    : , , - ,

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