xaraksi sidirodromikis grammis

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Xaraksi sidirodromikis grammisΧάραξη σιδηροδρομικής γραμμής.

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  • 15. 5.

    5.1 5.1

    :

    . , , . .

    ( , , , ), 300 km/h.

    :

    FF, .

    --, -.

    , ,

    , , , -.

    5.1.1 5.1.1

    ( , ) .

    :

    ,

    , ,

    ,

    , , , .

    nn - :

    ,

    - ,

    , , , .

    :

    . , ,

    . ,

    , , .

    , , .

    .

    (, , ).

    , (Rc < 500-600 m), .

    (caisse inclinable, tilting body).

  • 2 :

    ,

    v,

    ,

    .

    5.1.2 5.1.2

    , .

    :

    .

    .

    .

    :

    .

    .

    .

    .

    . , ' , :

    . (, ,

    ).

    . ( ). (dy/dt). ( ), .

    5.2 5.2

    , , , .

    , :

    5 .

    5-20 .

    .

    , .

    .

    .

    .

    5.3 5.3

    5.3.1. 5.3.1.

    Rc , .

    , :

    Rc > 5000 m 1 000 m < Rc < 5000 m 500 m < Rc < 1000 m 300 m < Rc < 500 m Rc

  • 3 , , .

    .

    , .

    :

    .

    .

    (, , .), .

    .

    .

    .

    R, V h , , .

    R , , , .

    , , . .

    5.3.2. 5.3.2.

    m V R F, .

    :

    R

    VmF

    2.=

    ( ) , () , .

    " ".

    h mm.

    VV > 40 > 40 km/hkm/h..

    5.3.2.1. 5.3.2.1.

    h .

    .

    :

  • 4h

    s

    h :

    BABA

    BA

    KKs

    Ks

    KM

    KKaFaGy

    aFaGx

    ===

    +=+===

    2.

    2.00:

    )sin(.)cos(.0

    )cos(.)sin(.0

    , 1)cos( a

    s

    ha =)sin( :

    :BA

    BA

    KK

    KKs

    hFG

    Fs

    hG

    =

    +=+

    =

    .

    .

    5.3.2.1.. 5.3.2.1..

    G

    Fcos(a)

    F

    Gsin(a)

    G

    Fs

    hG =.

    gR

    Vsh

    R

    Vm

    s

    hgm

    .....

    22==

    )()/(.8,11)(

    2

    mR

    hkmVmmh =

    g=9,81m/sec2,s =1500 mm ( ) :

    G F, :Fs

    hG =.

    R, .

    , , , .

    A=B. . . .

    .

    ,

    FaF )cos(.)sin(. aG

    bms

    hg

    R

    Vm

    s

    hgm

    R

    VmaGF ......)sin(.

    22=

    ==

    =

    s

    hg

    R

    Vb .

    2

    5.3.2.1. 5.3.2.1. / /

    g

    sb

    gR

    sVhb

    R

    V

    s

    hg

    bms

    hgm

    R

    VmbmaGF

    ....

    .....)sin(.

    22

    2

    ==

    +=+=

    )sin(.. aGFbm = . .

    :

    g=9,81m/sec2, s=1500 mm ( ) :

    )sec/(.152)(

    )/(8,11)( 22

    mbmR

    hkmVmmh =

    , , :

    hR

    V

    R

    Vh =

  • 5 (hvmax), . .

    (hvmin), . .

    5.3.2.2 5.3.2.2

    , .

    , .

    :

    . . .

    .

    h .

    .

    h(Vmin) < h < h(Vmax)

    )()/(.12,7)(

    2

    mR

    hkmVmmh =

    , :

    5.3.2.3 5.3.2.3

    , .

    .

    hVha = )( max

    5.3.2.4 5.3.2.4

    :

    )( minVhh =

    5.3.2.5 5.3.2.5

    h h .

    .

    (hmax, hvmin),

    h, a,

    hmax

    h

  • 65.3.3. 5.3.3.

    5.3.3.1. 5.3.3.1.

    :

    ( 1156/2000). , , , , .

    ,

    5.3.3.2. 5.3.3.2.

    1)

    hmax = 160 mm

    2)

    max = 105 mm

    3)

    max = 100 mm

    4) hh, , .

    H :

    i = h/l

    , i , , :

    )/(144

    max

    Vi =

    r=40mm/sec r=60mm/sec .

    Vmax /

    )/(216

    max

    Vi =

    imax = 2,5 /.

    5) , , .

    /60=

    5.3.3.3. 5.3.3.3.

    h, L, , V

    Vmax Vmin

    /100max V /140100 max < V

    /200140 max < V

    /60min =V

    /80min =V

    /70min =V.

    .

    .

  • 75.3.3.4 5.3.3.4 , , R R

    5.3.3.4. 5.3.3.4. , , R R

    R , , ,

    RR

    V 74,48,11

    265max ==

    , R< 1250

    R > 1250

    2max 808,11

    205 += RV

    Vmax (/) R (.)

    5.3.3.4.. 5.3.3.4..

    2max

    2max

    min .0445,0265.8,11

    VV

    R == , Vmax< 170 /

    170 < Vmax < 200 /

    Vmax (/) R (.)

    )80.(265

    .8,11 22maxmin = VR

    :

    5.3.3.5 5.3.3.5

    R

    V

    R

    V

    R

    V

    ah

    hh

    222

    maxmax

    max .12,7.8,11.105160

    160.8,11. =+=+=

    V /

    R

    h .

    5.3.3.5. 5.3.3.5.

    R

    Vh

    2.12,7=

    H

    b = 0,7 m/secb = 0,7 m/sec22

    )sec/(.152)(

    )/(.8,11)( 22

    min mbmR

    hkmVmmh =

    b = 0,7m/sec2

    :

    5.3.3.5. 5.3.3.5.

    R

    V

    R

    Va

    22 .68,4.8,11.265105 ==

    :

    ).60,0.(8,11.8,11.8,11.265160 2

    min2

    2min

    2VV

    RR

    V

    R

    V ==

    Vmin

  • 8 Vmax R, , :

    hRV .375,0max =

    5.

    , h = 100

    :

    160max =h

    5.3.3.5. 5.3.3.5.

    5.3.4 5.3.4

    5.3.4.1 5.3.4.1

    R:

    ,

    0 1/R

    .

    , 1/R

    R

    1=0== R

    ( R1 R2) R1 R2

    ,

    3.xy =

    3)].[cos(..61

    Rl=l L

    L

    5.3.4.2 5.3.4.2 , :

    ,

    R ,

    f

    :

    3.xy =

    3)].[cos(..61

    Rl=3

    3

    )].[cos(..6 RlX

    y =

    2

    .21

    1)cos(

    +=

    R

    l

    23

    23

    .21.

    ..6

    +=

    R

    l

    Rl

    Xy

    L l : 2

    .2.

    10

    +=R

    lllL

    2

    .2.

    10

    =R

    LLLl

  • 95.3.4.2.. 5.3.4.2.. R/3,5R/3,5

    L = l

    5,3R

    L

    LR

    xy

    6

    3

    f

    ml

    R 2,43422

    f).tan(OK =+

    +=

    R

    l

    .24f

    2=

    5.3.4.3. 5.3.4.3.

    f :

    :

    :

    , :

    :

    )2/cos(1

    2sec

    a=

    mR 03,65f12secf).(K =+

    +=

    :

    L l

    , :

    144)/().()(min

    hkmVmmhml =

    5.3.4.4 5.3.4.4

    R1 R2 ( R1 > R2) 30. , L1 L2 l1 l2 1 2, :

    +=

    33

    2

    2

    22..61

    22x

    ll

    lR

    Xy

    +=

    33

    1

    2

    22..61

    22x

    ll

    lR

    Xy

    R1

    R2

    1

    21

    2

    22

    12 2424 Rl

    R

    l ==

    21

    21.RR

    RR

    =

    ..24=l

    5.3.4.5 5.3.4.5

    R1 R2 ( R1 > R2) , ( 30), 1 2 ( ) . :

  • 10

    )(cos...6 23

    22

    3

    RlX

    y =5,32RL >

    22

    3

    ..6 RlX

    y =5,32RL

    5.3.4.6 5.3.4.6

    , .

    , 30., .

    , , .

    5.3.5. 5.3.5.

    , :

  • 11

    hh, ,

    , i , , :

    )/(144

    max

    Vi =

    r=40mm/sec r=60mm/sec .

    Vmax /

    )/(216

    max

    Vi =

    imax = 2,5 /.

    . .

    5.3.6 5.3.6

    :

    tmm

    = sec)/(

    6,3)/(.sec)/( max hkmV

    Ltmm

    ==

    :

    max = 60 mm/sec

    5.4 5.4

    .

    ( ),

    2,5%

    r :

    2)/()(

    2 hkmVmr

    :

    4)/()(

    2 hkmVmr

    10000 m20000m150 km/h < V < 200 km/h

    5000 m10000m100 km/h < V < 150 km/h

    2500 m5000mV < 100 km/h

    :

    .

    2.E ri=

    r

    x

    2y

    2=

    , ,

    ,

    6

  • 12

    5.5 5.5

    .

    2,5 .

    =140 = 600 , 140 km/h

    2max

    2max

    min .0445,0265.8,11

    VV

    R == , Vmax< 170 /

    170 < Vmax < 200 /

    Vmax (/) R (.)

    )80.(265

    .8,11 22maxmin = VR

    mRVR 2,872.0445,0 min2

    maxmin == R = 1000 m

    140 /. ( 5.3.3.3 5.3.3.4.).

    h .

    )()/(.12,7)(

    2

    mR

    hkmVmmh =

    , ( 5.3.2.2) :

    mmmmh 5,139)( = h = 140 mm

    h < hmax = 160 mm

    V /

    R

    h .

    ( h 5.3.3.2)

    H b = 0,7 m/sec2( 5.3.3.5.)

    )sec/(.152)(

    )/(.8,11)( 22

    min mbmR

    hkmVmmh =

    222

    min sec/6,0.1521000140.8,11140.152.8,11 mbbb

    R

    Vh ===

    2max

    2 sec/7,0sec/6,0 mbmb =

  • 13

    :

    mmR

    VahVha 3,91140.8,11)(

    2

    max === :

    mmR

    VVhh 2,82.8,11140)(

    2min

    min ==

    mmmm

    mmamma

    1002,82

    1053,91

    max

    max

    =

  • 14

    . .

    ?

    ,

    .

    144.

    minVh

    l =

    R

    Vh

    2.12,7=2

    maxmin .0445,0 VR =

    144

    ..12,72

    min

    VR

    V

    l =144

    ..0445,0

    .12,72

    2V

    V

    V

    l =

    41,6.12,7 V

    l =

    2)f).tan().(OK lR ++=

    R

    l

    .24f

    2=

    41,6.12,7 V

    l =

    2)f).tan().(OK lR ++=

    R

    l

    .24f

    2=

    2maxmin .0445,0 VR =

    (V)OK =

    ( 2 )

    .

    (V) = V .

    .

    150 km./hr

    i = i1 i2 = 8%o

    r = V2 / 2 = 11.250m

    r = 12.000 m

    = i . (r/2) = 0,008 * (12000/2) =

    = 48 >

    :

    r

    xy

    .2

    2=