362
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mekanik+sayalat+va+hidrolik

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Fluid mechanics persian

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  • 1 ....................................................................................................... 2 .......................................................................................................................................... 1-1 4 ............................................................................................................................... 2-1 4 ................................................................................................................. 3-1 5 ................................................................................................................................ 4-1 11 ............................................................................................................................... 5-1 11 ..............................................................................................( ) 6-1 21 ................................................................................................................... 7-1 31 ................................................................................... 8-1 31 ......................................................................................................... 9-1 51 ..................................................................... 01-1

    61 .................................................................................. 1-01-1 71 ............................................................................... 2-01-1 91 ............................................................................................................. 3-01-1 12 ............................. ( ) 4-01-1

    42 .......................................................................................................................... 11-1 42 .......................................................................................................... 1-11-1 42 ............................................................................................ () 2-11-1

    42 ......................................................................................................................... ( 52 ....................................................................................................................... ( 72 ...................................................................................................................................... 21-1 82 ............................................................................... 31-1

  • 82 ................................................................................................ 41-1 92 ................................................................................. ( S) 51-1 03 ..................................................................................................................... 61-1 03 ....................................................................................................................................... 71-1 13 ........................................................................................................ 81-1 13 .................................. ( ) 91-1 33 ................................................................................................................... (PV) 02-1 33 ........................................................................................................................ 12-1 53 .............................................................................................................. 22-1

    53 .............................. 1-22-1 63 ................................................................................................................... 2-22-1

    93 .......................................................................................... 42-1 04 .....................................................................................................

    94 ....................................................................................................

    94 ........................................................................................................................................ 1-2 94 ......................................................................................................................................... 2-2 15 ............................................................................................... 3-2 15 ........................................................................................................... 4-2 45 ........................................................................................................... 5-2 55 .................................................................................................................... 6-2 85 ................................................................................. 7-2 06 .......................................................................................................... 8-2

    06 ........................................................................................................... 1-8-2 16 ............................................................................. ) 2-8-2 26 ......................................................................................................................... 3-8-2 26 ...................................................................................................................... 4-8-2 46 .......................................................................... ( ) 5-8-2 56 .................................................................................................. () 6-8-2

    07 ...................................................................................... 9-2 07 ........................................................................... 01-2 07 .......................................................................................................... . 1 17 ........................................................................ ( )( ) . 2 37 ........................................................................................................... . 3 28 .................................. 11-2 48 .......................................................................... 21-2

  • 19 ................................................................ 31-2 19 ......................................................................................................... 1-31-2 39 ..................................................................................................... 2-31-2 39 ......................................................................................................... 3-31-2

    79 ................................................................................................ 41-2 89 ....................................................................................... 51-2 99 ..................................................................................................... 61-2 101 .......................................................................................................................... 71-2

    201 ............................................................................................

  • : . . 1 . . 2 . . 3 . . 4 . . 5 . . 6 . ( ) . 7 . . 8 . . 9

    ) . 01 (

    . . 11 . . 21

  • 2

    1-1 .

    . .

    . .

    1-1

    :

    . (. . . ) )

    (.782212 CCB)

    ( 18751638)

    ( 07171387)

    (76611847)

    ( 64611761)

    (24611727)

    (91811093)

    (24811219)

    (57811593)

    (68819175)

  • 3

    . ( .. . :

    .

    .

    .

    (2-1) .

    . .

    .

    2-1

    1

    3 2 ) 4 .

    scitatS diulF .1 cimanyD diulF .2 cinahceM diulF .3 scitamuenP .4

  • 4

    . ( )1 ( . .

    2 2-1

    ) . . (

    ) .(

    . .

    . .

    .

    .

    3-1 .

    .

    .

    sciluardyH .1 diulF .2

  • 5

    .

    .

    .

    . . .

    1 .

    . . ( ) .( ) 2 4-1

    .

    . .

    .

    (M) : ( ) seunitnoC .1 noisnemiD .2

  • 6

    .() (T) (L) . ( TL1) ( L2)

    FT L . T L M . F

    . .FTLM =2

    .

    . VD D =+ VVta a V

    TLTLTL =+ 111 . t . . (IS) .

    . ][ 1 1- 4- 1

    . (IS) (gk) (s) ( m)

    . (DC) . IS

    .

    IS .

    :

    stinU fo metsyS lanoitanretnI .1

  • 7

    1 gk2

    1s . m

    (1-1)2

    111

    s =. NgKm

    . (W) . ( m)

    :( g) = Wgm (2-1)

    . s 96082

    01 =/ gm

    9086

    01

    / .

    2

    97s : =/ gm

    N sm

    sm

    979298 WN9860

    012

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    ///

    =

    =

    IS . 2

    9608s . /m

    1-1

    IS ( ( )SGC) (gk) (rg) (m) (mc) (s) (s) (N) (enyd) (K) (K)

    4DC

    . 067gHmm ( m) (rh) IS

    . ( s)

  • 8

    . (j)

    (W) . (m .N) (IS) . (s/j)

    . (2-1)

    IS 2-1

    m 013G 019 016M 016 n 019k 013 p 0121c 012

    1 () 2- 4- 1

    (s) (tf) (GB) . ( R) ( fbl)

    .

    (3-1)tf

    1=. 12 fbls

    3-1

    metsys )GB( lanoitivarG hsitirB

    (guls) (tf) (s) (fbl) (R)

    )GB( metsys lanoitivarG hsitirB .1

  • 9

    .

    g :

    =. Wfblmgulsgtfs2) ( ) ( ) ( . /tfs 2322 g

    1 3- 4- 1

    . ) EE ( ) tf ( ) mbl ( ) fbl (

    . (R) ( s) .

    (4-1)gc

    = Fam

    4-1

    gnireenignE hsilgnE( EE) (mbl) (tf) (s) (fbl) (R)

    (1mbl) (1fbl)

    2

    232s ( 4-1) . /tf

    .) (

    s fbl) (mbltf

    cg1

    2 1232

    =

    /

    metsys)EE(gnireenignE hsilgnE .1

  • 01

    1mbl 1fbl 2

    232s /tf

    2

    232s fbl . /tf

    21

    s tf

    : 1=/232mbl

    0001fbl :1-1

    2232

    s . /tf

    :

    ) (

    mguls

    sfblmgulstf

    wmg

    1380232

    0001

    00012322

    //

    ./

    .

    ==

    ==

    . /419395gkguls :

    ) ( ) ( mgk

    mgulSgKguls35464

    13804195

    ///

    = =

    :2s/m 56608/9=2s/tf 471/23 :2mm 2546=2ni1, 2m9290/0=2tf1

    :3m/gk4515=3tf/guls1 :ttaW 653/1 = m-N 653/1 = J 653/1 = bl-tf 1

    h/utB5452=w647=ph1, j5501=utB 1 :s/til8/34=s/3m8340/0=sfc55/1=dgm1, s/til 23/82=s/3m23820/0=s/3tf1 :aP5986=2ni/fbl1, N844/4=bl1

    (: :)zH1=elcyc1 :s .m/gk1/0=esiop1,s/2m1000/0=sekots1, 2tf/s .bl 1=s .tf/guls1

    :sesekots929=s/2m9290/0=2tf1 :mk906/1=elim1, 84030/0=tf1, mm4/52=ni1

  • 11

    :gk6354/0=mbl1, gk5/41=guls1 : h/utB5452=W 647 = s/bl-tf 055 = ph 1 : 2m/N6833=gHmm 4/52 , isp 4-0154/1=2tf/bl 9020/0= 2m/N 1 = aP 1

    1 bm8874 .0=aP88/74=2m/N88/74=2tf/bl1 2m/N1/942: 1:2m/Nk523/101=gHmm067=gH .ni29/92=isp7/41

    :kgk/m .N2761/0=Rguls/bl .tf1 :, 3m/N1/751=3tf/bl1 :3m/gk 4/515 = 3tf/guls 1

    :R8/1=F8/1=K1 :s/m 0744/0 = rh/mk 906/1 = s/tf 764/1 = rh/im 1

    3ni132=til 587/3=3m58730/0=3tf7331/0: :3m 5-01936/1= 3mm 093,61 = 3ni 1 ,til0001=3m1, 3m23820/0=3tf1

    5-1

    . .

    .

    . .

    .

    ( ) 1 6-1

    .

    ytisocsiV .1

  • 21

    .

    . ( ) 1

    . ( ) 2 .

    .

    .

    . .

    3 7-1

    ( )

    : (5-1)

    yd = Vd

    ( ) yd Vd

    . () ()

    yd Vd

    .

    evisnehoC .1 secrof ralucelomretnI .2 ytisocsiV waL s" notweN .3

  • 31

    1 8-1

    ( ) . .

    :

    (6-1)LFT

    LTLLF

    ydVd

    2

    1

    2

    ===

    F . . 2 LFT LMT 11 TLM

    ) IS m2 .Ns

    msgk

    .) (

    tf2 .bls

    tfsguls

    . SGC . (

    (esiop)2

    01m

    . /.Ns IS

    . esiopitneCesiop :

    .aPs ms

    gkmcs

    esioPrg.

    /.

    == 101 ==013. pcesiopitnecaPs

    esiop

    msgk

    msgk

    tfsguls

    110

    1749

    =

    =

    .

    ./

    .

    2 9-1

    ytisocsiV cimanyD .1 ytisocsiV citameniK .2

  • 41

    : ()

    (7-1) =

    IS ()

    s

    2m

    ) s . . LT 21 (2 tf

    SGC s

    (1 )2mcs

    0142m

    s2mc

    . 1 :

    2 2 2

    2 24

    tS 929 9290 / 0 929m mc tfs s s

    1 01 tS1mc ms s

    = = = = =

    :

    .

    02 :2-1 . 80010/0

    tf2. .bls

    899/0 02

    s 2tf

    :mc2 : .enyds

    == ,/ 100844410384 blenydtfmc

    sekotS .1

  • 51

    :

    tS

    tftSbls

    esiopmc

    enydstf

    bls

    0100899

    080010

    0108747

    080010

    87470384

    0084441

    2

    2

    ///

    /./

    /

    //

    ..

    ===

    ==

    ==

    :

    s

    tftf

    gulsg

    2

    //

    /

    //

    //

    55

    3

    1190101439

    21101

    1943232

    0899264

    ===

    ===

    41/51 :3-1 /0469

    s 2 tf

    : :

    stf

    tfguls

    g

    ftesiobls

    esioptf

    s.bl

    2

    3

    2

    2

    1868

    06130

    1868232

    0469264

    001368444

    4141514

    18444

    ===

    ===

    ===

    =

    //

    //

    //

    /.//p/

    /

    01-1

    .

  • 61

    . 1-01-1

    ( 3-1) . V .

    . ( )

    3-1

    :

    hV

    hV

    yV

    ydVd

    FA

    ==

    ===

    0

    0

    h = FAV

    yd Vd

    yV

    V .

    /0520mm :4-1 .

    (8-1)

    y=D

    V = yh

    V=0

    F

  • 71

    sm

    2aP 6

    sm gk

    ( ) : . 6ms .

    :

    4-1

    : .

    ==

    =

    =

    =

    =

    ms

    aPsgk

    hVAF

    hV

    AF

    hV

    ./.

    /

    6

    3

    83310

    052001

    6

    2

    2-01-1

    A . hh21 21

    =/0520 hmm

    u

    aPAF

    s =2=6 Vm

  • 81

    5-1

    :

    =+

    ===+=+

    2

    2

    1

    1

    2

    22

    1

    11

    1212

    hhFVA

    hV

    hV

    FFFAA

    ,

    == 12

    (: )

    (21-1)

    =+

    12

    11

    hh FVA

    /m 032 :5-1 . 01mc

    1 h

    V

    2

    1

    2 h

    F

    / 25mc

    / 75mc

    =06 // Vms

    (9-1)

  • 91

    1-6

    sm

    /062

    073m

    ( ) . /.Ns /25mc , tt 12 :

    :.

    2

    t 2V

    yd == ud

    2

    t 1V

    yd == Vd

    F .

    ()()()

    1212

    12

    11

    ttAAV

    tV

    t ==+=+=+ FAAV

    == /,/ 12 00570205 tmtm :

    355 FN 0057

    1

    0520

    1/ 0730306

    //= ///

    =+

    3-01-1

    W .

    . y

    V

    W

    Ff

    y

    z

  • 02

    7-1

    :

    : y

    . .

    nisnis

    nisnis

    WAWyAV

    yV

    AyAV

    ydFAud

    FFWFW

    f

    zff

    ==

    ===00 ===

    =51D 81 :6-1

    2

    841012m

    /. Ns /m 032 .

    8-1:

    :

    (01-1)

    D=51

    =3 ydmm

    =/ 18918 WN

    VT

    Wnis

    =. fFA

  • 12

    : . (Vs)

    ydVV TT ud

    2710300

    / 2 84101/

    = /

    ==

    nisnis FWfwA === 000 s

    : Wnis D == (/)nis/// 8191851271030526 TT VVm

    ( ) 4-01-1

    . (11-1)

    .

    .

    9-1

    f

    L

    b

    a

    R

    T

    wnis

  • 22

    : : (

    ) ( ) (

    bTRL

    LRRb

    LRRRyTRFRAV

    3

    1

    1

    2

    22

    =

    ====

    : (

    ) ( ) (

    ardR

    aTdFdrTr

    ardrrrd

    ardrV

    ydFdAdVd

    R

    2

    2

    222

    4

    0

    3

    2

    2

    ===

    ====

    =+ TTT 12 :

    . 03mc :7-1 . 02/2 mc02mc . 0/31 .Nm 004

    0/56100.aPs( 1 0/5800 .aPs( 2 0/5610 .aPs( 3 0/2580 .aPs( 4

    mpr() :s

    dar

    06

    . 2

    (11-1)

    (21-1)

  • 32

    aPs

    bmcdar

    RLbT

    bTRL

    /.///

    //

    //,/ces

    01006520103149

    0310110

    00441906

    20110101

    2

    2

    3

    2

    3

    3

    ==

    ====

    ==

    . ( 1)

    . L d

    V . y .

    :

    00 Zff FFWFW === :

    01-1

    : . == Wgmg

    yL

    z

    d

    V

  • 42

    ) (

    ) (

    2

    f

    2

    g L g gm Wd4

    Ld A A FV udy yd

    V Ld g Lygd V d4 y 4

    = = = = = =

    = =

    11-1 . 1-11-1 .

    =0 (11-1) . . = .

    .

    () 2-11-1

    . . :

    ( (

    (

    () .

    (31-1)

  • 52

    ()

    .

    .

    .

    (

    )

    . (

    :

    11-1

    yd (Vd

    yd= Vd

    .

    ydVd

    V)

    . )

    yV

    (

    ( 1

    ydud

  • 62

    . 1. 1

    0 n

    yd Vd

    yd . n,,D D =+

    Vd n=1 .

    . 2 0

    ( ) 3 . 2 . ( )

    ... 4 . 3 ) (

    . (2

    .

    citcalP .1 mahgniB .2 citsalp oduesP .3 tnataliD .4

  • 72

    1 . 1

    . :. 2 . 2

    . :

    10

    10

    10

    10

    ====

    =+

    D

    D

    D

    D

    D

    nnnn

    ydud

    n

    3 21-1 . ( ) 4

    .

    .

    ( L) ciportoxhT .1 citsaleocsiV .2 emuloV .3 evisehoC .4

    (41-1)

  • 82

    . 1 31-1

    :

    = (51-1) M

    . LF4 LM3 4

    IS 3

    0001m =gk

    3149

    tf . =/guls

    . .

    2 41-1

    : g (61-1)

    V == W

    . LMT 22 LF3 g = g

    . (//) .

    22233719870

    sm

    s . == gtf

    4 067 IS

    3918

    m /Nk

    30189

    m N

    3264

    tf . /bl

    ytisned .1 thgiew cificepS .2

  • 92

    ( S) 1 51-1

    ( ) . GSS .

    (71-1)

    S

    ==

    .

    .

    S

    S

    =

    =

    .

    / 22gk :8-1 .

    m3 not

    ytisneD evitaleR .1

    03mc

    02mc

    (91-1)

    (81-1)

  • 03

    21-1

    :

    051421710 2233 ) ( 4

    02

    4== Vdhm

    /// =

    :

    3

    333

    06649608475

    06640001

    66498

    664980664421701

    22

    mSNk

    S

    mnot

    mgk

    Vm

    W

    w

    ///

    //

    ///

    /

    ===

    ===

    ====

    1 61-1

    .

    (12-1) VS=1

    () IS gk 3 m

    . .

    2 71-1 .

    IS m2

    . (aP) N

    (22-1)A = PF

    emulov cificepS .1 erusserp .2

  • 13

    =013 apKaP () . =016 apMaP

    : ( h) = ph (32-1)

    : ( aP) :P

    m3

    . m() :h N 1 81-1

    . .

    .

    : TRm P , TR P , TR VPs= = = (42)

    Vs ap) ( P

    gK R m

    gKkmN.

    m) (Dk) ( T . .

    2( ) 91-1

    . .

    .

    saG tcefreP .1 yticitsale sludom kluB .2

  • 23

    P V . Vd Pd :

    (52-1)Pd

    VVd

    = . FL12

    K .

    . (62-1)

    =

    =V

    VdPd

    dKPd

    K Pd V Vd K. LF2 .

    ( )

    .

    . K : 9-1

    2

    1

    mmc00013 NM

    2

    2

    m . mc 5993 NM

    aPM ) (

    VV002 kP

    0001

    5990010

    = 21=

    =

  • 33

    (PV) 1 02-1

    .

    . .

    .

    .

    2 12-1

    .

    . ()

    (72-1)L =F

    .

    IS

    m N

    tf fbl

    . LF1 erusserP ropaV .1 noisneT ecafruS .2

  • .

    oisehoC .1oisehdA .2

    P

    )

    .

    L r .

    .

    ( ) (

    no no

    D

    W

    Pmta

    h

    Pmta

    (2

    )

    h

    D

    A

    )

    (

    31-1

    (

    r

    C

    B

    (

    ) (

    )

    (1

    =2 FL

    . f

    . )

    (

    r

    ABh

    43

    ()

    =4 fr

    .

    (

    h

  • 53

    22-1 1-22-1

    . ( )

    :

    . R R /01mm : 01-1

    mN

    /015

    apapK d

    00201102 p0101

    220153

    //

    == / ==

    R :11-1 2R

    P R

    P . .

    dRRp

    dRRp

    4

    2

    88

    2

    2

    44

    ===

    ===2

    =1PP

    (82-1)

    (03-1)

    (92-1)

    R p

    Rp

    RP

    =

    =

    =

    :

    :

    :

    4

    2

  • . (

    rallipaC .1

    02-1

    ytir

    ()

    2R

    h

    (

    )

    =

    hR

    02-1

    (

    41-1

    :

    ()

    2R

    2Rh

    (

    .

    .

    )

    02-1)

    ( .

    Fy0 =

    R

    1 )

    ()

    )

    ()

    h

    63

    2-22-1

    )

  • 73

    Rd

    h

    RRh

    soc

    soc

    soc24

    2 2

    ==

    (m) ) :h (m) d :R) :

    m3 (N

    :) :

    m (N

    : . " "

    . 09D ) ( "

    . 09D ) ( " . "

    h) ( . .

    51-1

    d

    (13-1)

  • -

    r2 r1

    - )

    h

    h

    = h d

    mm

    1

    rg == soc 2

    d

    soC

    =2

    21) ( 2

    = rr

    0001918

    208270

    //

    =

    22-1

    .

    01010100

    / 0/

    = socD

    (23-

    (33-

    . d

    : 21-1=0D =0

    :

    84m

    83

    : -1)

    :

    -1)

    (

    mN

    /8270

  • 93

    itativaC .1

    noi

    .

    .

    .

    61-1

    .

    r

    (

    h

    1

    ) (

    .

    32-1

    )

    42-1

  • 04

    . (43-1):

    T= T ( ) () V= V ( ) ()

    . ( ) . .

    () .

    :

    .

    .

    . ( )

    ) . . (V0V=0

    . .................................... .1 ( 2 ( 1 ( 4 ( 3

    .................................... .2 . ( 1

  • 14

    . ( 2 . ( ) ( 3 . ( 4

    .3 ( 1 ( 2 ( 3 ( 4

    : .4 ( 1 ( 2 ( 3 ( 4

    .................................... .5 . ( 1 . ( 2 . ( 3 . ( 4

    .................................... .6 . ( 1 . ( 2 . ( 3 . ( 4

    .7yd ud

    n

    yd kud

    =

    : n>1 (2 (1 )citsalp mahgniB) (4 (3

  • 24

    : : .8 (2 (1 (4 (3

    : .9 (1 (2 (3 (4

    :k ( ) .01 . (1 . (2 . (3 . (4

    .112

    12m . 1% NM

    ( ) m2

    : NM 012( 2 2/1( 1 0/12( 4 0012( 3

    .21 . 01( 1 . 001( 2 . 0001( 3 . 001(4

    . 31

    ( 1 ( 2

  • 34

    ( 3 ( 4

    : .41 (1 . (2 (3 (4 331/01( 2 631( 1 9/97( 4 31/06( 3

    7/5 mm 4mm .51 3 mm .................................... .

    11/55( 2 31/33( 1 5/7mm( 4 01mm( 3

    . 05mm .61

    m /070N

    : apK 5/6( 2 2/8( 1 22/4( 4 11/2( 3

    /070Nm .71 1mc/059mc : 2/51mm(2 1/55mm( 1 6mm( 4 3mm( 3

    . 02mc 5mc .81 . ...............................

    272mc( 2 001mc( 1

  • 44

    631mc( 4 04mc( 3030 W .91

    . V . t

    : 2( 1

    tw( 2 V

    tw V

    tw2( 3( 4 V

    tw4 V

    .022

    002mc . 01/% N

    : ( ) 0022( 1

    NGmc

    022( 2 NGmc

    22( 3NGmc

    2 02(4 /NGmc

    m 0859002 .12

    01mc =/.Ns .

    =

    2

    0731021R / Vr

    . R r ms V m2

    N 0/1310( 2 0/625000( 1 0/131( 4 0/6250( 3

    . 1mm .22

    30001

    m . gk

    4ap 0/01ms ms V

    2

    / 040013( 2 015( 1 /04( 4 / 020013( 3

  • 54

    .322

    09m

    =/.Ns y ms U. / = Uyy 0862

    : =/071 ym . 216 02( 1

    /Nm

    043 02( 2 /Nm

    603 02( 3/Nm

    351 02( 4 /Nm

    : ( ) .42

    ( 2 ( 1 ( 4 ( 3

    : .52 (1 (2 (3 (4 631( 2 321( 1 632( 4 532( 3

    .62 noisehdA(2 noisehoC(1 ( 4 ( 3

    .72 . ( 1 . ( 2 . ( 3 . ( 4

    (0001 mc3) 1 .822

    1m

    . MN

    mc 59932

    2m

    . . MN

  • 64

    IS . 92

    esiop /18 9(2 esiop 01(1 esiop (4 /esiop 18 91( 3

    .................................... .03 ( 2 ( 1 ( 4 ( 3

    . .................. .13 ( 2 ( 1 ( 4 ( 3

    ms .23m 0583 / 5880162

    gk :

    s . gk /m 500 0(2 s.m\ /gk 01 65 4416 (1 s . gk /m 01 65 4416 ( 4 s.m /gk 500 0( 3

    / 72fgK .33 1ms . 54D

    1mm

    : IS .43 . MN(2 .mcN(1( 3

    mc( 4 N

    M N

    0979 02D .53 . 0/80010 s( 1

    2mms( 2 /01000

    2 /010100

    / 15015( 4 / 110106( 3

  • 74

    .63 ( 1 ( 2 ( 3 ( 4

    : 001 () .73 . ( 1 . ( 2 . 05 ( 3 . ( 4

    . .................... .83 ( 2 ( 1 ( 4 ( 3

    .......................... .93 . ( 1 . ( 2 . ( 3 . ( 4

    : . 04 . ( 1 . ( 2 . ( 3 . ( 4

    .14 ( 1

    . ( 2

  • 84

    . . ( 3 ( 4

    . .24

    ( 2 ( 1 ( 4 ( 3

    .34 ( 1 ( 2 ( 3 ( 4

  • 1-2

    .

    . ( )

    . ( ) ( )

    .

    .

    2-2

    . == (1-2)

    A () PF

    ( )

  • 05

    (2m/N) IS aP

    tf2 )fsp( bl

    . )isp(

    aP === mrabN

    mcispgk

    nibl

    222 ,,

    : (

    .

    . . . (

    .

    . .

    .

    . .

    . .

    .

    .

  • 15

    :

    . : (

    : === xyz PPPP (2-2) (

    . =++ pppp xyz) ( (3-2)

    3

    1

    ( .

    3-2

    . .

    . 4-2

    . . .

    .

  • 25

    1-2

    . . ( )

    P / 1013aPK

    . . :( )

    . . ) :

    ) ( . (

    : :

    D//// ====== 2 1101523123104170143067 PmtaaPkrabispHmogHmm :( )

    .

    ( )

    1

    1 ()

    -

    ( )

    2

    2

    )

    (P0

    1

    2

  • 35

    +

    2 1

    h P

    o

    +006

    = ( = (

    = egagPh

    ( 1-2)

    Pba

    .

    D =+ PPh

    ) )

    h

    o P

    P

    =+ PP sbrabag

    .

    2-2

    1/5 3

    01

    13=+ / h15

    + -

    D= PPmta

    . :

    ega (:

    (

    -006 ( 2-2)

    3

    1800

    =// gk 001

    2 (

    Po

    :

    (4-

    (5-2)

    ) :

    .

    .

    :1-2

    /mc2

    )1

    = PP sbagagh

    -2) )

    (

    +P egmta

    P

  • 45

    5-2 :

    3-2 y zx

    =

    y P

    : = (6-2)

    yd Pd

    ( )

    PD . PD yD Pmta) (

    : P y DD PdydPdyd PPyy ==

    D = hyy :

    =

    =

    =

    D

    D

    zpypxp

    yD

    oy

    x

    z

    h

  • 55

    DD == PPyyh ) (

    Pegag PPD.

    : . = egagPh (7-2)

    . Psba ( ) :

    DD ==+=+ PPhPPhPpP sbamtaegag (8-2)

    m3 P N

    = m2

    yyD) ( h aPN . m) ( . ( )

    6-2

    .

    ) (

    (4-2 ). h

  • 65

    Phgh

    hgAPF

    FWVgAh

    ====

    .. ====

    F ( )P ) g ( ) () . ( ) h(

    4-2

    : (

    . . (

    .

    ( 9-2) ( .

    :

    (9-2)

    h

    F

    A

  • 75

    1

    2

    3

    )

    .

    5-2

    . (

    .

    6-2

    = P

    h

    < 1

    h

    9-

    =hg

    < 23

    (h

    -2) (

  • 85

    :

    . (7-2) .

    d c b a

    CB A . D

    ( ) CB A .

    7-2

    7-2 .

    (01-2)

    TR ==

    gyyP

    yy

    PPePeD ()()

    DDD

    DD

    yD PD T R g . y P

    ( 8-2) :2-2 . . 01apK 52apK

    1

    2

    a

    A

    b

    B

    c

    C

    d

    D

  • 95

    8-2

    :

    PapaPk

    Phg== ///()/ 09000191825221

    = / =+= 2122122 PPaPkaPK P= 10 ( =+=+= /// 2122152221471 PPaPkaPk = 152 PaPk( =+=+= /// 2122101221121 pPaPkaPk = 101 PaPk(

    ap 6m :3-2 6 m 67gHmc

    = ==== // 00019186638858538 gPhhgaPaPk === (//)// 3175000191806713110142 gghgaP

    = + += // 638851311014217699542aP

    05 apk :4-2 :

    m

    mN

    mN

    h

    ph

    5109086

    050001

    3

    2

    =/

    =

    =

    2p

    1p

    GS=/09

    / 25m

  • 06

    m m

    Nm

    N

    GShPP

    wgH0573

    98601357

    00005

    3

    2

    /./

    ====

    3 :5-2 . GS=037 (/)

    . /11aPk

    9-2

    + + = + + ==

    1

    2 2 2

    2

    2 6089 3 6089 37 0 0001 1 1

    41 78124

    2 w G C

    C

    C

    h h P P) ( ) ( / ) ( / PN N N

    m m m) ( / PN

    m

    D

    8-2

    . . . : .

    1-8-2

    . . ( )

    3 hm1=

    2 hm2=

    B

    C

  • 16

    ) 2-8-2 ( )

    ( 3461 )

    01-2

    D=+ VgH PPhg (11-2)

    g gH PV PD .

    /061aP 02Dc () : . 015ap

    D0=+gH Phg (21-2) :

    (31-2)g

    hPgH =D

    :

    33110153 gHNkmPaPk D == /,/ 2

    gHmgHmm

    Nkm0167716 haPk

    331

    10133

    / ===/

    / .

    h

    PV

    pD

  • ag

    mta

    ba

    P

    hh

    .

    .

    .

    ==+ =

    51

    057

    ega

    m

    mta s

    aPk

    mmh h

    aPk51

    =

    057 =

    egag

    egag

    h a

    gHh

    a

    =

    =

    31

    36 5 211

    gH

    Pg

    /

    D

    11-2

    :

    = APh

    A

    54

    01 51360 8 9 6

    5 73

    / /

    Hmm /

    h

    :6-2 mm05

    m / 65 211 =

    .

    (41-

    .

    26

    gHmm

    3-8-2

    -2)

    4-8-2

  • 36

    ( 21-2) . .

    ( )21-2 ( )21-2 .

    . .

    21-2

    : ( ) :1

    . .

    . :2

    () ()

  • P P

    .

    A

    + AP

    :

    11

    11

    PhPh

    A

    A

    +

    ()

    .

    .

    A :

    += APh = hh 1122

    2233

    2233

    hhhh

    =+=

    0 == mtaP= mtaPP 0

    (

    ( 31-2)

    PPPPP

    BA

    BA

    1

    (21-2= APh

    = APh22

    ) .

    33

    11

    PhPh

    B

    B

    =+=+

    3-2 ()

    :

    2) ( (h11 (

    ( 31

    2211

    2233

    hhhh

    46

    .

    )()

    ( 5-8-2

    3-2)

    B A

    () ()

  • 56

    .

    B=03D

    P

    A = 3001 hm

    = APRnis

    41-2

    mm 2 h

    51-2

    :

    ()

    .

    2

    =003mm

    B A

    (51-

    :7-2 = 1002 h

    :

    6-8-2

    -2)

    mm

  • PP

    PPP

    A

    A

    A

    +

    0001

    (2)

    .

    .

    P

    PLhL

    B

    B

    ==

    =

    91802

    11001

    22

    1122

    ///

    nisnis

    / 8

    aP

    hhP

    =+=

    09180

    331

    33

    /(/

    n

    3

    26m/Nk

    A

    PP

    A

    A

    501

    021

    //

    = +

    1 GS=

    (1)

    A

    hBP

    303+11

    D nis())

    . .

    61-2

    9apk // 826053

    /105 /086

    (2)

    21mc

    / 0001918

    (1)

    35175

    m ./Nk

    = / 157501

    53mc

    // 01316

    :8-2

    3

    N

    101/5

    / 115

    (1)

    :9-2 ( (

    m

    66

    (

  • 76

    (2)

    (1)

    3m

    17m

    71-2

    : (

    :

    aP ) (

    PGShPPhP

    BHO

    B

    0860010981710404311

    12

    1

    =+==+

    =+

    //D

    D

    PD=0 ( )

    : = 1043114311 PaPaPk

    . ( ()() =+=+= 22 2101893043114124438 HoHo phpaP

    H =/794 BA PPapk :01-2

  • 86

    81-2

    h () A : : B

    + + = = = +

    3 3 38 9 6 31 18 9 728 0 8 971 43 71

    001 001 00152 4 79 35 66 432 1

    A

    A B

    m / / m / / m ) ( / PNk Nk H Nkm m m

    mc H / P P / H /

    . GS=057 (/) :11-2 h 02isP( A)

    91-2

    (SgH=/ 316)

    A

    / 257tf

    hC B

    D

    71mc

    H

    43mc

    A

    B

    GS=/0728

  • 96

    (-

    A+

    gH

    P

    357 htf024412

    /(

    = +

    .

    )

    GS lio

    ++ 257=

    =

    gH

    h

    GS

    GS

    (/)

    .

    t+ /)/ 2570 h

    AG=/019

    l

    h

    // 57624

    (GS=0

    02-2

    A

    .

    B

    y

    4ni

    . C :

    0

    264

    =

    =

    /

    / 13626 h

    /019)

    . . (

    B

    GSgH

    A :

    = /240

    :21-2 AB

    : B

    )+(

    =/ 136

    B

  • 07

    2 24616

    21

    4019624

    21

    4019264316624

    21

    4

    21

    4

    tfPPbl

    PyyP

    PyyP

    AB

    AB

    AlioliogHB

    /

    //////()

    ()

    =

    ++=

    ++=

    . 21

    BA .

    9-2

    : ( (

    01-2

    -2 -1 . -3

    . 1

    .

    . C F

  • 17

    12-2

    F ()

    : . )A( h() == FAPhA (61-2)

    h A .

    . 1

    . ( ) ( ) () . 2

    ( 22-2) .

    .pc .

    ===nis G FPAhAyA (71-2) h A

    retnec erusserP .1

    C

    h= ph

    F

  • :

    A

    .

    . ( 22-

    I = Pxx

    9

    F

    ( , xP-2 )

    Ay =+ Px xxI

    .

    Iyx

    .pc

    h hP

    09D

    F

    .

    ,yP))

    .

    y = Pyyx

    Iyx

    = xx

    G

    y

    x

    Ad

    xPx

    y

    Ay

    =+G yI I

    y x

    = yy

    y ypy

    x

    P

    22-2

    F .

    .

    IG

    :(1) = x

    ( 81-

    O

    27

    PG

    .pc

    (

    x .

    -2)

  • 37

    Iyx xP = xx

    . x Pyy . IG :(2) (

    . ( 22-2) (:3) (

    hA

    =+ PG hhI

    yA

    IG =+ PG yyI .

    21

    y . = GIyb3 .

    (4)

    . (5)

    .

    .3

    . =09D . :

    09D nis, === hyhyFyA (91-2) :

  • =

    =

    I

    I

    A

    G

    yx

    2

    a

    G

    a

    x

    y

    Gx

    RR

    ===

    4

    4

    2

    074610

    088450

    4

    R

    R

    R

    /

    /

    2

    a

    2

    b

    3R4

    2

    b

    x

    R3

    R4

    3R 4

    4

    :

    F

    R

    x

    y

    G

    ===

    21

    Iba 1

    IAba

    G

    D yx

    R

    ===

    08901

    2

    1

    IR

    I

    AR

    G

    yx

    /

    D

    32-2:

    42-2

    3

    + bdG

    G

    d

    a

    b3

    R

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    63

    1

    7

    1

    2

    1

    I

    I

    Aa

    G

    yx

    =

    =

    =

    .

    : IG

    x

    x

    y

    y

    G

    G

    b

    ) (

    3

    2

    6

    22

    1

    ab

    abbd

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    47

    A Iyx

    3

    a

    ===

    IR

    IAR

    G

    yx

    4

    1

    2

    D

  • 57

    .(2

    :

    52-3 . )

    .

    y

    y

    py

    yyP

    Ay

    =+ pG yyI

    :

    Ay

    = pG yyI

    52-2

    :

    221

    2

    hpyh

    =

    m1

    pG

    b

    b

    ( )

    6

    2

    h= h

    6

    1

    .pch

    :31-2.

    :

    21

    hb3

    :22-2( .

  • 2

    s 1

    / 1

    FhA

    A

    hm

    4

    1

    15

    2

    ===

    =()

    /()

    : y=

    p y

    (hP)

    nis06D

    /5m

    mN

    m

    m

    9800

    0785

    062

    1

    3

    =2

    +

    ()

    /

    D )nis(

    O

    nis062D =+

    hD

    yAI

    =+= G y

    hc

    33-2

    m

    mm

    1339

    1339

    =

    /()

    )/

    06

    15

    nis 2D =+ /

    D

    2322232

    /+ /

    1m

    /() 2 04587m

    2232 2

    =/ 1

    ) (2

    230458

    46

    14

    /=

    06D

    (

    (:

    =14860N

    (

    :

    /260m

    :51-2

    yc

    ypc

    o

    67

    (

    (

  • 77

    FhANk

    hm

    960822561234

    151503252

    ///

    //nis/

    ====+=

    D

    h y : : ( hP)

    nis

    nis nisnis

    nis

    + = + =

    + =

    G Gp P

    Gp

    y y y yI IyA yA

    h hIhA

    2

    2

    :

    233 Phm 6252

    230321

    1

    252

    32

    //

    nis= /

    =+

    : 61-2

    .

    = 3

    9608m/Nk

    nis

    (02-2)

    =03D

    39608

    m=/nk

    /15m

    3m

    hp=?

    72-2

    2m

  • phh

    h

    F

    = P

    =

    ph

    h

    AhhI

    hA

    G

    98

    nis2

    /

    =+

    ==

    Fh

    4 h

    =

    =

    Ahnis =+ pG hI

    miL

    3m

    82-2

    3

    6083

    2

    =+

    9608 A

    3

    4

    3

    1

    = /

    =

    h3

    3

    4 2

    n=+

    = hp mhh

    /15m

    :

    3

    34

    15

    46

    15

    254

    15

    2

    4

    2

    /

    /

    /

    =

    =

    81043

    =/ 4

    3

    48

    4463

    3 1

    ph :

    4

    (

    m

    Nk

    305

    2

    /

    : (

    6Nk

    2m 1

    =

    :h h . (12-

    m

    87

    (

    hp

    -2)

    4m

  • 97

    :71-2 m4 DC 36 BA

    . (92- 2 ) m6

    92-2

    : ( : =/ gkm 00013 :

    / ==+= 000198143631263600 FhAN ) ( ) ( ) ( :

    yAm ) ( 743 pG yyI

    736

    21

    36

    7

    3

    =/

    =+=+

    : (

    ) (= + =

    = + = =

    328 5 6 54 322 344 221686 6 4 6 54 3 18 9 00011 2

    / nis h

    N / nis / Ah F

    D

    D

    :

    B

    C A

    D

    3m54D

    6m

    4mo1o2

    6m

  • 08

    myA

    848 pG yyI54

    538

    462

    1

    54

    53863

    46

    54

    538

    3

    /nis

    /

    nisnis/

    = /

    +

    +

    D =+=

    DD

    E DCBA :81-2 . (03-2 ) BA :

    8 :

    03-2

    51 E BA ( : :.

    ) () (

    ym ) (

    FhAN

    511520 P5168

    21

    86

    0100918213687060230

    3

    /

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    +=

    =

    ==+=

    : CB (

    / ==== 00019181802800825282 FAPhAN ) (

    o

    12m= Am12

    E

    D

    C

    6m

    A

    o

    02mB

  • 18

    (13-2) :91-2

    : :

    3293240 FhAN 2

    12

    3

    2= 1111000918

    / ==

    :

    m Ay

    I15 pG yy

    23

    232

    2

    1

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    1

    3

    22

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    1

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    1=/

    +

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    :

    m

    AyI

    yy

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    G3174 p

    335

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    3

    35

    3230390152

    11000918

    2

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    2

    2/

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    /

    =+=+=

    =

    ==+

    : =+=+= 1204293309015552843 FFFN

    2m

    3m

    3m

  • 28

    .

    :

    ym

    y

    yFFyFy

    P

    P

    PPP

    374

    55284329304153090153174

    12 12

    ///

    ==+

    =+

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    .

    = ph : F .

    FAh == (12-2) F

    .

    : , 11 PP xdxydy == (22-2)

    23-2

    h1

    h2h

    h2hh1

    Ad

  • 38

    3

    1

    (

    =

    3

    1

    =) :

    A

    =/ 452 h

    F=

    h

    33-2

    BA

    A

    m

    B

    C

    .

    B

    O54D

    =/ 452 h

    :02-2.

    5m

    .

    .

  • = BAnis

    A

    hBA54

    ,D n

    == F

    .

    (

    654

    == 452nis

    /D

    hBAt ) (2

    =

    )

    (43-2)

    (43-2)

    mCA3

    ,=1

    : 89604

    2

    / 1

    .

    ). == Hc FPA

    .

    FV=

    B

    F FH

    C

    BACA ) (

    = 256121

    hA :(

    .

    43-2

    F

    FV

    =2 Cm

    /62055N

    :

    (32-

    )

    (42- (

    48

    21-2

    -2)

    -2)h)

  • 58

    .

    = FF nat

    ( 53-2)

    B A

    + FF HV 22

    H

    V

    F=F

    .

    .

    (

    .

    53-2

    Fx

    )

    :

    BA

    Fy

    A

    B

    :

    ( 52- (62-

    :1

    . (53-2

    :12-2

    B

    -2)-2)

    .

    )

  • 5

    = nat=

    ==

    V

    H

    F

    F

    Fh

    = xF

    /15

    2m

    k

    ) () (

    00051604

    0001

    0001

    22

    ==+

    ==

    H

    V

    x

    y

    FF

    FF

    hA

    === HFhA

    A5m

    m

    fg A BA

    63-2

    ( ) (

    1320005

    0416

    19785

    114

    2

    1512

    2

    /

    /

    /

    ==+

    +

    fgk

    73-2

    = / 96081( ) (

    B

    B

    A

    : BA

    )

    059D

    5216

    10500

    /

    /

    =

    =

    =

    f

    gk

    BA

    = 12119 ) ( )

    B2m

    . ( (

    fgk 041

    fg

    : 22-2 .

    / 96Nk

    68

    (

  • 78

    BA : .

    = ) (

    FFNk ==

    41038 yV

    29608

    2

    // :

    F=+= /// 22 916038635 :

    175575D 916

    // 038/ ===== nat/

    H

    V

    x

    y

    FF

    F F

    2 ( ) :32-2

    . ( ( F (

    .

    93-2

    B

    A

    B

    O A

    3m

    =2 rm

  • X

    VF

    o

    .

    h

    F

    p

    H

    (

    ii x

    /98

    ==

    ==

    MO =

    (

    AhhI

    hA

    Gp

    9 H

    =+=

    ==

    .

    )( ) (

    3

    1322

    08632

    r F 0 =

    x

    ( )

    444

    21

    2

    4

    6083

    4

    /

    =

    +

    +

    )

    4

    122

    3

    422

    24

    12

    +

    +

    +

    F0 0= =

    A

    ) ( )

    380m

    12215

    /

    =

    :

    22

    24

    1

    22971

    2

    2

    / 2

    =

    0

    B

    O

    F

    y

    /659Nk

    (

    m

    Nk

    095

    2

    25

    /

    /

    =

    :

    :42-2

    O

    88

    (

    (

  • 98

    .

    . 2

    04-2

    ===

    =

    +

    ==FWFN

    FNk

    yV

    V

    01316

    2122111364

    32 9608

    /

    //

    CD CB

    BA . :

    === // 9086121196 HFhANk ) ( ) ( ) (

    :

    A

    B

    C

    D

    FV2FV1

  • 09

    =====/ 0196 xHH FFRRRFNk

    : .

    . . :52-2

    . 4 8

    83-2

    === // 90862847266 HFhANk ) ( ) ( ) ( :

    R R FH

  • 19

    82947 VFNk 2

    296082

    2

    === /()()/ :

    // =+= 22 72662947897 FNk 1 31-2

    . .

    .

    s .

    . 1-31-2

    .

    : (

    :

    ecrof ycnayuoB .1

  • 29

    Ws. = (72-2)

    14-2

    . s

    . (

    : . Fx =0 =+= FVDCBAGFAGECDCBAFE ) ( ) (

    . CBAFE FB FV d

    : = FBd (82-2)

    d FB . ( FB) .

    . :

    .

    A

    D E G

    C

    Ws. = F

    . = FBd

    B

  • 39

    B

    C

    D

    FE

    A

    W

    FB

    :

  • D

    BF

    = BW : .

    D

    FW

    B

    057

    3719

    //==

    ==

    (

    /152

    0 FW y>

    . 1/52 .

    F

    tfD

    5

    75

    0

    /

    /

    ==

    GS=/08: ) .

    /12

    5tf

    FBs >

    0/6

    34-2

    FB

    264152

    62641

    //

    /(

    =

    :

    .

    5tf

    W

    /1 FB

    :

    .. ss >

    5152D3 2537

    /

    /)/

    ==

    D=

    52tf

    s >

    :62-2 .

    : W()

    D

    bl795

    1

    /

    /

    =

    :72-2

    (

    ?

    49

    .

  • 59

    .

    xF

    W=

    == 0 xx FR

    9806

    1

    /

    = HFhA

    Fy0=

    +

    082

    12

    1

    / 2

    44-2

    = /089 xR

    WFB =

    896082

    2

    /

    =2 rm

    : / 960812

    FB 112 =+

    +

    222

    2

    2

    (

    (

    =/ 1157Nk

    . (

    2

    =

    k

    11764

    / 1

    2

    1

    ((

    (

    mNk

  • 69

    059 (9608

    2

    71162

    //

    /

    =

    ==

    w

    Ss

    . 0/56 /m 013 :82-2 .

    352

    m . NK

    :

    54-2

    ) (

    gmgmgk

    m

    yBW FWF

    57629086

    520100226

    06220

    098060650125980601

    3

    3

    //

    /

    /

    ./////

    ==

    ==

    ====+=+

    (64-2) : :

    64-2

    12

    3

    12

    s

    m 013 /()

    Vm3 ()

  • 79

    FB =+ 122 (92-2)

    % 04 :92-2 GSgH=/316) (. .

    . :

    74-2

    :

    3 122

    5923

    960806136908604

    mNk

    WF

    s

    Bs

    /

    /////

    ===+=+

    41-2

    . . (74-2).

    . . 1 . .2 . .3

    06% 04%

  • 89

    :

    74-2 51-2

    B B ( B)

    . ( (G) )

    . M) ( . BM) (

    ( ( 84-2

    G) ( M) ( :

    B

    W

    G FV

    B

    M

    B

    G

    ( (

    ( ( (

  • 99

    = GMBMBG (03-2) BG

    : BM

    (13-2)d

    IW== BMI

    . :I () =

    = W = d

    B) ( G) ((03-2) . B) ( G) (

    61-2

    . .

    .

    . :

    . 1 .

    .2 .

    .3 .

  • 001

    :

    : ( )

    . 2m 4m 6m :03-2

    . 3

    007m gk

    94-2

    :

    ) ( Vhhm

    m

    FFWV

    d

    dd

    yBfds

    6414

    0001918007918462336

    0

    3

    ////

    ====

    ===

    1/2 3 5 :13-2

    2m

    6m

    h

    GM>D

    GM

  • 101

    M

    BG

    I

    GM

    d

    =

    .

    0/6

    GM

    B

    BGI

    G

    d

    d

    21

    1152

    0604

    0835

    5312

    3 1

    /

    //

    /

    =

    ==

    =

    =

    .

    m

    m

    m

    m

    02047

    02

    521

    1125

    3

    4

    //

    /

    /

    =

    ===

    .

    2

    == /14

    0/8

    m

    =/07m(

    )

    05-2

    /08m

    .

    ][.

    3m

    GB

    .

    71-2

    5m

  • 201

    . 1

    . (1 ( 2 54D (3

    . ( 4

    .2 ( 2 . ( 1 . . (4 . ( 3

    .3 ( 1 ( ) ( 2 ( ) ( 3 . ( ) (4

    51apk 917/6 .4 :

    18 apk ()( 2 11/613 () (1 211/4 ()( 4 111 apk ()( 3

    ( apk) ( ) .5 :

    301/503( 2 331/501( 1 067( 4 101/523( 3

    ( ) . 101/523 apk ( ) .6 22apk . 69/5 apk

    :

  • 301

    .

    98/23 811

    . ......

    D

    2

    52 apk( /5 apk( ................

    h D

    2m

    % 0/4

    )( 2 )( 4

    0/

    ( 2 ( 4

    1m 3

    %4(2 54( 4

    (2

    121/3 67

    8

    523 apk (6/5 apk(

    h35 =

    h4

    =3 =/15 hh

    4

    =5

    %

    )( 1)( 3

    .7 ( 1( 2( 3( 4

    . 8

    D 3(1

    D(24

    3

    5D(3

    D (4

    .9

    (1( 3

    .01

    ( 124( 3

    .11

    (1

  • 401

    (4 (3 .21

    01 :

    ( 2 01 ( 1 01( 4 01 ( 3

    apk A . 41 002( 1 003( 4 022( 2 082( 3

    .51

    ( 2 ( 1 ( 4 ( 3

    . .61 . 050mm

    m /3 6 (2 m /5 0 (1 m /3 7 (4 m /8 6 (3

    .71 ( 2 ( 1 ( 4 ( 3

    : .81 ( 2 ( 1 ( 4 ( 3

    . 67 .91

    B A08apk

    08apk

  • 501

    1/30 (s / m g012 =)(mc / rg / GH6 313 =)

    801 ( 2 001 ( 1 401 ( 4 601 ( 3

    .02 ( 2 ( 1 ( 4 ( 3

    (isp)741 .12 21( 2 01( 1 11( 4 8( 3

    0/15m/N 5mm .22 apk

    101/17( 2 101/12( 1 201( 4 101/5( 3

    h .32

    . h ( 1 . ( 2 . h ( 3 . ( 4

    .................. .42

    (2 (1 ( 4 ( 3

    .52 (2 (1 ( 4 (3

  • 601

    .62 . (1 (2 (3 (4

    ................... .72 . ( 1 . ( 2 . ( 3 ( 4

    ....................... .82 ( 2 (1 (4 ( 3

    . ..................... .92 (2 (1 (4 (3

    .................... . 03 . (1 . (2 . (3 . (4

    ........................ .13 . ( 1 . ( 2 . ( 3 . ( 4

    ...................... . 23

  • 701

    . ( 1 . ( 2 ( 3

    n

    n

    V . B G BGI

    . ( 4 ..................... .33

    . ( 1 . ( 2 ( 3 ( 4

    .................. .43 ( 1 (2 ( 3 ( 4

    .53 . h .

    (14

    3 (2 h h

    2 (33 (4 h

    h2

  • 901 901 1-3 901 2-3 011 1-2-3 011 ( )( ) 2-2-3 211 () ( ) 4-2-3 211 5-2-3 311 6-2-3 311 7-2-3 411 3-3 511 4-3 511 5-3 611 6-3 611 7-3 611 8-3

    711 ( ) 1-8-3 711 ( ) 2-8-3

    811 9-3 911 01-3

    911 1-01-3 021 ( )

    621 ( ) 2-01-3 031 3-01-3

  • 2

    031 11-3 131 21-3 231 31-3

    431 1-41-3 831 ( ) 51-3 141 61-3 241 71-3 541 81-3

    641 2-81-3 941 4-81-3 461

    171

    171 1-4 271 2-4

    271 ( ) 1-2-4 271 ( ) 2-2-4

    271 3-4 671 4-4 771 5-4 771 6-4 871 7-4 971 8-4 281 9-4 481 01-4 681 ( ) f 11-4 291 21-4

    291 1-21-4 391 2-21-4

    102 ( ) 31-5 202 1-31-5 302 ( ) 2-31-5 302 3-31-5 302

  • 1-3

    .

    ( ) . .

    .

    . .

    2-3

    . .

    .

  • x

    :

    .

    mrofinU .1nU-noN .2ranimaL .3nelubruT .4

    .

    .

    .

    4(

    wolF m wolF mrofin wolF r wolF tn

    (:)

    x .

    ()

    )

    . .

    2

    . x

    x V

    ) ()

    (

    .

    (:)

    1

    =0

    xV

    0 xV

    (

    )

    (

    ) () 1-3

    ) 3

    )

    011

    1-2-3

    x V

    2-2-3

    yd= Vd

    ()

  • 111

    (

    ulF laedI .1

    .

    .

    )

    diu

    = ( )

    .

    ( 3-3

    ()

    .

    yd=+ ()Vd

    ) .

    (

    (

    ).

    :

    ( 2

    ) 1

    .

    (1-

    2-3

    .

    ()

    -3)

    3-2-3

    .

  • 211

    [] ( ( 3-3

    () 2 ( ) 1 4-2-3

    . . ()

    .

    = 0000

    ==

    =

    tT

    tV

    tP

    t,,,

    .

    . 4 3 5-2-3

    . .

    wolF ydaetS .1 wolF ydaetsnU .2 wolF elbisserpmoC .3 wolF elbisserpmocnI .4

    () ( (

  • 311

    noitatoR .1itator nI .2

    .

    .

    .

    wolF lan wolF lano

    .

    .

    .

    (

    2

    .

    ...

    1

    .

    .

    4-3

    t z

    .

    y x .

    (

    6-2-3

    7-2-3

  • 411

    . .

    : : (

    (5-3) . : (

    . : (

    (5-3) . : (

    .

    5-3 3-3

    .

    .

    .

    ( Qetc =

    ( Qetc =

  • 511

    BA

    AC

    GE

    ( 7-3) .

    . .

    (

    L

    M

    . .

    .

    N

    O

    (

    09 L,ON,QP

    P

    Q

    ( 6

    .

    ML

    7-3

    (

    6-3

    HG

    .

    HF

    BD

    4-3

    FE DC

    5-3

  • 611

    8-3 6-3

    :

    ( ) . 1 ( ) . 2 ( ) . 3 .

    7-3

    ( ) .

    .

    .

    cd

    x2x1

    V2V1

  • 711

    8-3

    . ( ) ( )1 1-8-3

    .

    . .

    . (9-3)

    .

    ( ) 9-3 ( ) 2 2-8-3

    .

    . .

    . )S .C( metsyS .1 emuloV lortnoC .2

    )metsys(

  • 811

    . ( 01-3)

    .

    01-3

    :

    .

    9-3

    . ( )

    . N t .

    ) VC ( ) t (11-3) + tt . (

    .

    )VC(

    )SC(

  • 911

    ( =

    (

    .

    N 1

    V=

    tds

    Nd

    .

    t

    N

    (.

    t metsysVC = )

    .

    .

    .

    VC

    11-3

    dSC V+

    sys

    C

    . VAd

    N

    VC

    N

    (2-

    m=N

    ttsys

    .

    -3)

    .

    01-3

    1-01-3

    .1

  • 021

    2

    2

    1

    1

    . ( )

    : =0 (3-3)

    td md

    N . m 1 . m .

    +=0 (4-3) . mdtdtdVAd VCSC =

    .

    ( )

    (21-3) . .

    2 1 .

    21-3:

    : . (4-3) . VAd SC=0 (5-3) .

    2 = .. VAdVAd 111111 1

    V1V2

    Ad1

    Ad2

  • 121

    . = .. VAdVAd 222222 :

    == vava mVAVA 111222 (6-3) m

    / mbls / gks IS . .

    : 1 vaVAAdv = (8-3) Q

    : . QVAdVAva == (9-3) Vva A

    . . 3/ tfs 3/ ms : == mQQ 1122 (01-3) : == QAVAV 1122 (11-3) m QW Q :1 :

    (21-3) mQ

    WQQgm

    ===

    . = QVA :2 3/ tfs 3/ ms

    . == wQVAQ :3 s Qw

    Ns .bl

    . == wQVAQ :4

  • 221

    = QAV 333

    = QAV 222= QAV 333

    = QAV 111

    s Qm gk

    s . guls

    : QQ nituo = = :(31-3)

    31-3

    : mm nituo = ) ( ) ( (31-3) QQ nituo = = =+ QQQ 112233 :(== 123 ) =+ QQQ 123 =+ AVAVAV 112233 0

    1

    ==nii i

    . Q .

    :1-3 0021 .

  • 321

    41-3

    sm

    s3 til

    0202006

    = ===/ 0021

    sN

    1961206

    / 3 6089120010 = =

    sgk

    0206

    === 3 0001002110

    :2-3 stil

    02

    .

    sgk

    gm

    sQN

    000102020

    608900216921

    ===

    =

    ===

    QQ/

    Q//

    1m /05m :3-3 . /15m

    3088

    mgk

    . sgk

    0004

  • 421

    51-3

    s 275 mVAVVm

    4

    1533 0004880

    2

    === (/)/

    3

    088m gk

    :

    =

    tuo ni

    V V

    Q Q

    V d V d V d V A V A V A

    / / ) / ( V/ V Vms

    =

    == + = +

    = + = =

    2 1

    2 2 23 3 2 2 1 1 3 3 2 2 1 1

    2 2 21

    2 1

    75 2 5 1 1 5 0

    36 4

    . (61-3) : 4-3

    (2) . . 3ms 2m (1) (2) . 3m

    61-3

    : :

    = 12 dm= 13/ Vms

    = 23 dmV2=?

    =/ 315 Dm= 11 Dm

    V3 =/ 205 DmV2

    V1

  • 521

    .

    :

    = 1V

    01

    QAV

    Ad4

    111

    21

    1

    == ==

    = 2V =5ms

    = 1D

    =1 QAV :

    AVQ2

    == 2

    s m

    745810

    014

    3

    2

    (/

    (/)

    ==

    V2

    d) (Q

    AQ

    4

    2

    22

    =

    1-1

    2-

    04mm

    1

    1

    V2

    9 14

    == ()2

    13252

    / 924/= /

    001 mm .

    108745

    3 745810

    )/

    /

    =

    V

    4

    872

    2

    =/

    = 3Q

    -2

    71-3

    Q

    h

    s3m

    / 924

    2 3ms

    2

    sm

    m

    41033

    2

    =

    022 ) (5410

    2

    3

    //

    =

    ms

    3/0102

    s=/0210 3Qm

    2= 2D

    2

    :5-3

    002 mm :

    s=/ 8745til

    s

    /5m

    :6-3 3-3 (

    s3 m

    06mm

    .

    (h)

  • 621

    ) (

    AVms ) (VQ

    sQm

    Q

    QQQ

    647

    4

    006

    010828

    001288

    500124

    040

    222

    22

    3

    2

    2

    2

    132

    //

    /

    /

    //

    ====

    +=

    +=

    ( ) 2-01-3

    ()

    . .

    . .

    Vm) ( (41-3) tdd

    td === FammVd

    Vm N V

    .

    +=0

    . NdtdtdVAd VCSC = . NdtddtdVmF == ) (

    :

    . FtVdVVAd VCSC =+ (51-3)

  • 721

    :

    .

    .

    t

    t

    F :

    (

    ==22 =

    Fm

    FQ

    .

    V1

    Vd VC

    = FVQtuo) (

    ) (

    21

    22111

    VV

    QVQV

    :

    (

    FF sys=

    0F =

    : = VQni( ) (

    QQ 1112 =

    )

    81-3

    LZZON

    Fvc .

    FVV SC =

    VQtuo( )

    FQV2 = (

    .

    :

    EL

    . VAd

    ( V

    VQni)

    (61-

    VV 21 )

    :

    (

    V2

    V)

    -3)

  • (

    ) .

    1/5 51

    :

    V1

    V1

    91-3

    :

    02-3

    03

    TNEB

    : .

    .

    .

    T

    V

    V2

    (

    :7-3.

    :

    V2

    821

    (

    (

  • 921

    = V1

    3

    (12-3

    /mcs 105

    FmV==

    .

    3 )

    :

    y

    === QAV= = mQ

    = AVA 112

    mVVV20601

    2106

    ===

    Y

    = = QVA

    = =12 Q

    =3 xVm

    031 2/ ) (4

    == 100628 Q

    V2 2V

    c82405477

    0051405

    ==

    03 54

    12-3

    032 mV) (

    4 == 7502121

    =003 // msmc

    :

    xV1

    = 500110206=110628/ rg

    ) (15 V) (

    4

    034

    2

    2

    2

    =

    enydmcs

    177392

    /

    = 30012122507/ rgs

    : /s

    V2

    45D

    823/ mcs /s

    006mc051

    =

    =/7741N

    :8-3

    Fy Fx

    :7503/ mcs

    /s

    X

  • 031

    FmVN ) (

    FmVNVmcsVmcs

    VVmsmcs

    yy

    xx

    y

    x

    xy

    2125072124495

    1202758816681106168

    0212212

    03021288

    35430707212212

    //

    //

    soc////

    =======

    ====

    =====

    .

    :

    =+=+= /// 2222 68145484856 xy FFFN ) ( ) (

    3-01-3

    :

    (71-3)

    ++ =

    VCSCdepeVAd Hs

    ttw

    t. Q

    .

    . .

    11-3

    as

    ). .(

  • 131

    (3) ( 2) (1) :

    PdzdgVVd ++=0 (81-3)

    21-3

    . . 8371

    ( 4) (3) (2) (1)

    :

    ++= PVzgetc (91-3) 2

    2

    -

    (etc). .

    :

    ++= PVzgetc (02-3) 2

    2

    - .

    .

    z.

    . . P

    gV2

    2

    .

  • 231

    :

    212 (12-6) 22

    21

    21

    122

    PHHg

    pZVg

    ++=++= ZV (m)

    .

    .

    .

    sessolhl =) ( sessolhl =) ( : . . .

    (22-3) lfe

    l

    hhh

    zhg

    zpVg

    pV

    =+++=+++

    11212222

    22

    . he hf 2 1 H

    . . H

    1 . .

    l

    h .

    enilretneC .1

  • 331

    1+ p

    Z1

    , PV 11

    .

    .

    (

    zHg

    1 ++ V21

    2

    hl

    .

    22-3

    )

    .

    g P=+ HpV

    222

    2

    Z2

    , PV 22

    ( )

    (2) (1)

    Hp) (

    l2 ++ zh H

    Z1

    Z2

    , PV 11

    )

    :

    l (32-

    Hp .

    , PV 22

    31-3

    -3)

  • 431

    HT) (

    :.

    gzhH lT (42-3) zpV

    g11212222 ++=++++ pV

    22 41-3

    . ( )

    . === PmHgHQgHQ (52-3) : . : P

    m3 : () IS N

    tf3 bl

    .

    s : Q ) 3m

    s . ( 3 tf

    H ( tf)m :H