Elektrotehnika

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sa paBztnLrHH croHHocrH

EnEl{Tphr{Ec}ctt BEphrH c HETxHEfrHH ETEMEHTn npr craqHoHaPHu pE-

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U=XU* Ir

l-paoBF:vtrE AaBar Hala-oEull'|PHa |nHOopMaq|/tt noHEit(E E noB€-

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f:rlcHMoc r!l

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nol

-35-

cyMapHara l::ptitEa! a c!c TOI::!T

H

HanpEji{EHk$Ta

3aAa4EHo HAnpEn{EHHE lL = Uo.

-r nocTrnBA

cE

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nph

q Ha

flpu cmecexo cBtpSEaHE Ha HErnH€ffH14 E/lEMEHTtt SaAaqarara

Epotl nocrEAc}BaTErlFr{:-r

cE pEuraBa Ha Hgxo/rrdo ETana. ltpE3 npEotpaSYBeHE HA

cB1]ptsaHn E/l€MEHTa.

t4 noc/rEAoBaTErHH

napa/lErHn !...fl"ap-azr-e.a.n.o,..qB.lP,*.RH14

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c

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HE HE4HHE'IHhTE E/|EMEHTU CA AEAEHH HA

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cBrPSBalrE Ha TpH HE/lT,IHERHH ETEMEHTa TaHa liaHTO E nOt{a3eHo

ra Uz=Fa( 1n)

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Orr.6.4

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(6,21

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k

Or (6.?)

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-36-

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ra fs(UaE).

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liaxro

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xa oraEztHHTE E,EMEHTH npH onpE/tE/lEHa crofiHocr

He HanpEr(EHvl€To. Ha oHr-6.3s

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n Fz(Iz)

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-34-

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or xapel{TEpHcrHrlare

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t4

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ce npEHapBa npaBa

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aEcultcH

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cE cngcHa nEpnEHAv!{y/ls|p 40

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a yarr:a

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A Li {t

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no

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l:18--

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r

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r FECn. l::anaquat4BEH Xepa|::TEp Ha aBvno/llocHH!::a' oT

Horo

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-42-

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12"

r A--r-l/l

l{

CliEMa'r'a

u rott.ur I. ToraBa

l,- P A

ll nli

h

H3ruc'4EHH$|ra cE ooclFMstr

ua :

---------'*/B -- T------Efl 0 n:f qmC/l | I lnapaMsrphl14SMEFEHO f -- - r - -- r- - - T- * - T - - - r - - -- T -- - -- T - * - T - - T -- - -' r *' - - r --- -- -l I

| ------*--T--*-------

- -

I

aB9-

I

n

IF, I U I I IU1I U?I R 17 I X I L I X IC I l----+---+---+---+---+- **+---+---+--*+-*- +----l -'-*l

I

Q Q H fllFl tWlvlAlvlvln IHH l{ t'--------*+---+---+---+---+---+ *--+-- -+----+--* f *---+-**+- --.1 tllllllllllll | "R" l-*--------+*--+---+---+---+-*-+-- -+---+*- --+----+*- -+---+--.-.{ | | t'| | I I I | "RL" | | I I +----l---*.J f ---------+---+---+---+---+---+---+---+---+---+--t"Rc"tttllllllllll f ---------+---+---+---+---+---+---+---+--..+" -- +"-'"- +-- -+---{ oa pc

|

| L

"c"

tllllllllllll

- * --- -- - - I - - - l- - - - J. --- - r -- - r-- -* l- --

l-

- - - r-- :- I -.- - r -.- - - r -- - r - - - |

or H3MEpBaHhsra cE onpE4E/tstr ! t = arcog

a) Oe3trBusr !r!,

F*/UI

r

r ) nepaMETFHrE Ha ErE]::TpHstEcliara EEpHra! -npH ABynOnlocHHl:: r.un "R" R.= U/I

.

A

-45-44-

Clr4aCHO

Q

H3MEpBaHHstra H

or

flo aaxxure

E!t::/iloqBa aont/IHHTE/lHO atirHBH(]r(]

" F,€

AanxnrE !"

r ) AR,incln|ocHHf:: THn rr(]r'.

Hf49TA HA npHEopHTE

!4

HaLlhH:

nO CrE4Hl,lSl

tasMEpaa MoqHocrra P-

ce

6tar.7.3

) /lEl..lnrf,4locHYltt THn "RC";

f-lc,aaBa cs

MV CTaBa

OnpEAE/ls|HETO

x l::A ;

/-1,

-

AAEOPATOPHO

-npn ABgnonncHn|/^

e=

I _._ r- = -----.,17--d-, ?ttt

u/rr a i

n

3,C-I,--EABAH,E

14

HA

E

I n F A X H E H 14 E

/tEl{ Tr_nq Ecl.;"A

BEF:141

A OT

n,O c,/rE

No.8

AOFA

T

E,4HO

CF-}FSA,HIIL PE3.hC-TPF!. FOFI4H.O YI IiOHAEHS]ATOF. FE:sOHAHC HA

-npH ABynorxrcH!rx rnn "RE"

HAnPEI(EHh,liJA

z=U/IrOiFr=UrlI.Q

l ro

C = l/ZnfX-r

t f-

T

E-

o_p.F,

fIr

1l.tr- . n-,9_4 9'n q H E

croAHocr U. Toxrr i(t)

F BE

l
t

wt

c

nporr,raut noA HEroEo

AEta-

I -I = ____-_ 6-= - 1;;-:-X;=

(4.1)

Tyx Re = R + rrxaTo clnporhErEHltETo

R e crnporltBrEHhEro

Ha toEHHarara

Horo cLnporrlS^EHraE Ha EoErHara

l.HaH ut€ cE !t3MEHslr noxagaHhgre Ha nprsophrE cErpgaHH ctrracHo

Ha l4oHAEH3aropa. flpn toea

Ot'tr.7.3.axo BIB EEprraTa cE BXltor{h AonL/tHMrErHo

aHT!rBHo crnporHBrEH14E (nocae4,oearEAHo c

ABynorpcxr,rxa

)

(8.2)

?

cE Hanrutar MoMEHTHlrrE cronHocrH Ha HanpE,(EHr,tgra Ba ABgno/rDcHl,tr{tt rsn : "R" i "RL" ; C" , axo cE nphEME t rtE Tof{tr npE3 BEphraTa cEl u3MEH9 no cHH!|col/|aarEH saxoH c HyrEBa HaqarHa a?

3.4a ce HaLrEpTastT rpeo|4piHTE Be

MoMEHTHhTE

r

+

Ha MoulHocrnrE npn AEynor|ocHHLlh rrn

+

L

LJc

c!nDori4BrEHr/tE

= wL;

Ha

C

xanpEit(EHxE

To

EOE r
Lt

roxa

r(t)

(

t

).

!raHt,lTE crortrHocr

Ha naAOBETE Ha

HanpE:t€HttE.

O,|r.B.1 ca Ur

=IRt U- = Iri

(8,4)

H

Blp/)ry E./IEMEHTHTE Ha BEpltraTa or

Uu

= JXui Uc = IX-i Uro = Ur + U-

lt ToraBa

-46-

rHAvli:THB-

liaro c f e ogxa.<exa qEcrorara

l--l

c13AaBaHx {fr

E

ea w = 2nf. LJ

onr.B.1.

(S,3)

"RC"?

+

tJ.

#F R ---:--t---'t-C

croriHocTx Ha Toxe

npE3 BEpxrara !r HanpExEHnsrta Ua . Uu u U=?

!r xanaqnrlrEHoro

X.= 1/w

U

Ua

Ha pE3,|cropa.r

Xg u X_ ca crorBETHo

Xt

?.4a

4.He.{EpralaTE Tpr,t}rrrH,|Hrr

.A.1. . li!M li(fs-

paB a

Qi C - I/?ntX-.

IV.KOHTPO/IHI4 BbNPOCH

Oa3

Ol,|r

E npBroxEHo cHXycst4Aa^Ho HanpEr(EHHE Lr(t)=f?U.sin

TE a|4arpeMt/l nor{a3aHh Ha onr.7.2a ,l B. xeTo cE nprEME noAxo-

cxEMara or

_q

crBriE npEi BEprrara l,lMa EOEHr}|aHa crottHocr. onpEAE4EHa c u3_

rtcrl

Flo E HcnEpltMEHTarHo cHETlrrE aaHH!l ae cE nocTPogT

as|q MaqaE.

g rr,.p"e

EOEXTT4BHa

F

-np, aBynoAbcBrry- Trn

pHf,f

Q

FatrrenAa c€ ErEr(TpritrtEcxaTa aEpHre or

X=-U:/I.0i

X. = U-lI'

r

U = .ruioz + (UL - U.)z

.

-47-

3aEEctlMocr orroBaps Ha BEXTopHxTE 4xarpauta.

flocae4xara

(8.9) 1r .fi1--l-f5

noxasaHH Ha Ot,|r.8 2a r OHr.B.2BtctoTBETHo ea X-)'Xu !l Xe{Xu.

ct caltaa

Or r9x Mo)r(E aa cE Blrau r t{E B nlPgllsl cryqaq Toxtr i ( t ) !r3npE-

(8.1O) z-R

BapBa oa3oBo HanpEAEHH€ro u(t)

crgqan

Ha Lrl/lp

(B.s)

U=Uno

€ =arc tg X/Ro

aaHaTe BEpHra nplr yaoB/lETBopgBaHE xE yc^oBllETo

(8.6)

x=

Xu = X*

ur'.tt

{'

Uu =

He

z nory9tar MrHltHrr-

Hrra cli crofixoct,

Tol(Lt

!rprraTa

rrlxcriHtrlH.

cTltr

I rrr

Ohr.8.2. Ha cron prA l,l HrnprrtxHtrl Uu x U- ctrntcxo (8.S) nprAotlttT ror:xl cTonHoctl, xolrro l{crat ae rfaaT onlcHr ta sothHaTa L x xox4rxreropr c.

Cnop:4 (F.2) or ycrorrrro rr prroxrHc (8.6) cr nory,.r.rrr

Uo

!t or (€}.4) r (8.5) caeasa lJ = Uro = IRoi

Tosr

npx prroHrxc

Orxourxlrlro GlrUu/U - l)-/lJ np, prroHrxc H. HanpratHhr cr Hapxi.tt xer{IcrlrH oexrop Ha tEpxrtTa.

.

ToraEa. or (8.3) ce norYeaBa (8.7)

xlto

HrnP:xIHrt

Lr!/|a CE pnpEAErsl c x3pe3a

HtA€ro X = Xu - Xe E pEaKThBHOaO CInpOT|,BAEH!iE Ha BEpr4rera. flpaxrnr:cxrt xHTEpEc npE4craBrslBe nog€AEHl'lETo Ha pe3rzlEx-

(A.B)

Trn

ToBa HanpExEHllE Ha Lr],t),

Ton }|3ocraBa oasoBo or

CTOfiHOCTTa Ha

r aoxaro nplr BTopHe

Ha

rtsPatHTI

P = Cr .

pE3grra.T cE H/llocrPtapa

gBTEHITETO pE3OHaHC

Ha

HanpE)fiEHl,l9.

(8.'11

or OHr.B.?e u orroBaps

Ha

flpu xero HMnEAeHclr He €E-

pHrara

L t Lluz C1 C - L/u.L.

lpo L/2lnIfFl

)

Tt noxerler r r{! plloHrHc rft ttprrrtt riori Tprf r{lt{rHtt qprr r|rHtHrt{}tl Ha HrcTotaTt t

Ae cr noryq, no ao plroHaHcHarr

qrcToTa frlttprr

rtHrHtHtrr xe }|HAyXTraHOCtta L Ao prroxaHcHaTa rHAyt(Tl,|aHocT Lrl r{prt rr}taHrHlt: He raneurTErr c ao prro_ HaHcHrr xanaqrrrr

2.floorrlaaxr To cr ,rllputre

Cr. xe lrcaratexrrq xaro cr crlp)tt

c r E otHar{tHo ctnpoTrtrlHr:To

rrpxr.ra

or Oxr.B.S.Ha xrr

H- 3OtttHtla, xotTo o3IXHOaTHO

t crnoctatt,|'||o c xrnHoTo t|HAyKrhtHo clnpoTHarrHt,G !t H3 MOII ar ftaE npEHtfprrHaTo. npoHrxr|,|aoro HanpErrxxr u cf nc'4,a3r oT rrlrrprTop clc rtyxora

otar.8

OHr.B.3E

2a

toxr

I

ru

Hrnp:rIx||tTl -48-

trprrat.a, Urur Ur

t|rcToTl. AHnrpr.trTtpLT A r|rurpre I rortr{rtprrr

VFL, V_ ll

V-crorlttxo

1| U.

-4?-

ll,

"

-"-

-F cE ltaMEPBaHni 3a

flpoeenaar

t4.3crEABaHE Ha

pEHr,rTE Hanp€)fiEX!t9 U-u lt Uc HE Ca Hanr/rHo EAHaxBl4.

s|BnEHt/lETO PEr--!"tc--a"-e-_tr-u_-eE ?J_4J_.aJJ__!r-...rp.a!-tr_

3OHaXC Ha HanPEXEBll5tr l::al::TO

Blg ocxosa Ha xgilEpEHrrE ri HaHEc€Hrr€ s Tasarqa B.t

C/lE ABA !

Al,r{nH'/|

a) npx onPEAE^EHe rt H3BEcrHa gEcrore

xana-

n noctotHEH

f

qHTET CE }I3MEHSI hHAYETUBHOCTTA Ha So6t|Hara

our.8.3

L

t,| cE

orql4Tar

CTONHOCTr| HA

NPX Or|KCI4PAH|il |,| H3BECTHX

Tl|HA9HTI'IBHOCTTA

xexro r'l nph qccrora

nony.{EHHTE or x3MEPBaHrstra AaHH}it cE

CTOBHOCTITTE Ha napaMETp],lTE:

XMNEAAHC HA BEPHTA'A

z=U/l

i

r|MnlatHc

Zru E U-L/I

I

xr SotsHate

X- = U-lI

cLnPotHg4CHrI

I

- l/2r.tu-

KanaqrYET Ha KOH4€HSaTopa

C

,rxayxT}lBHoct

L = l/4trzfpzc

xa BoStiHaYa

|

- clnPorhBrEHr.E Ha pE3|,|crope R = Ro-F = ]-F=(IL-I:T=-r. - axrrBEH naA Ha HanpExEHr4E Brpxy 6o6ltHara U- = rI i

L lr kanaqhrera C no Oopiry^a (4.11) EE H3qt,rcrtsrea PE3oHaHcHara rlEcrota f-. Crca roBa cE npoBErAar cEPxs| t/tSMEpBaHr'lt nPH noHucxe r,r no-Bucoxa or fF BEcrorat

BE_

i - ITHAyKTH€Ho cLnporltarEHrE Ha EoaHHara Xg = ZnfL i - clnporltBrEHrE Ha BoBrxare r = fz-uz - Xu2 ,

onp€AErEHa x H3BEcrHa qEcroYa f rt nocroiHHa rHAyxrrBHocr c€ L3MEHl RanaqlrETrr Ha KoHAEH3aropa C r cs orqrtraT noxa3aHl,|s|Ta Ha H3MEpgatE,HllrE anapar| i s) IlPr

B}

CE HSql|C49AaT

xaneqllTltBlro

anaparH i

noxaSaHr4gTe Ha ,|tM€pBarE^HtatE

)qF-

- r4HAykrlrBEH naA Ha HanpE,rEXHE Btpxy BoErHara Uu - Xu I - A€Oa3rpaHE MExAg HanpE)t(EHr€ro u(t) l,| roxLT i(t)

f=fp' Xu-Xo 9 = arc tg -------R+r

HaHacgr e Tasanqa B'1'

Taearqa 8. I flo rtsr

BEn}|t{!lHH

ta3r{ytc^:xr

It 3lrtE PE Hl|

HhETO CE nOCTp('IBaT B€KTOpHXTE AharpaMlt

3ErXqrHX

No U

I Ueu A

UO

cronHocrr x B HsBpaH Maqaa 3e roKa

I

2

x- lu

H. a n

0

L c

r

H F

a a

Ur Uu

R

v

cryqasg XolXur X-(Xu

o

0rr .2a.2s, u Zs. Or

aaxXHTE

rpaosx|,|r€ I(f) CrfaFa

aa cE taMa nPEA gxa.

HE nopa4,r HaztHLll,rETo He c'bnpo-

?lia^EHxGTO rrnaa,LT He HanpE:|(EHHEtO uru HE E r{ttcTo }|HAyNT',lB€H ' a eKTlraHtr-LHAyxrHBEH. /norylaaBeHE

flopa4,x roea

Ha Makc!tMarHa croliHocr

-s(r-

c

HacrlnEaHE

Ha roria

(

u t

x

X- = Xu . Tsxxrlr

pcByrrarrrr Uu(f )

.nA

x aPal
oTroBap'| Ht

I Tasarq,a 8.1 c: nocTpo9|'aT

lr U-(f )

Orr .8.4 ) .

He PE3oHaHc

I sa f=fe

3a TpxTE

x HanpExE-

/ A3mE-

51 -

sa U=congt.

/l A E O F A T U F H O S n P A )l( H E H 14 E

No.9

j-EF:k!I--3 _S .DAF,A4"E4"t"r"p_"-Q*B'!"E!A}{ld

|4:1"Q./F_AFAHF__.He" .'-E4.El:IP_!45"F*AF.iA-

E:E;-ll4-QroJ:r .FqFUH0".Ll ..tr,p"ilLq-H"+"4"I-Af-..".."EF-ap-HAJJ"C*-HA- .I"Q$p-B*E,T-E.'l.o F-g.x-eet*l --r.-E-ep.E -r--t1r-:t.11.4,...! 04 p-l!E fi,r-.g {

I

Ar*-1_

Ha E/lEXTphqEcxa BEpxre crALFrferqe rpEnrslul xprr,

r{onTo

E (;.1'cTaEEH oT ABA napa/lErHH rH€'ElJ

E/TEMEHT

C aXTHBEH l,l XHAyH'iroHe-E4HHHST r a 4pVr|/|5|T C aliThBEH |4 HanaurtTl,lBEH ETEMEHT r cE B oEqaTa liacT Ha EEpltra-

noAaAE npoMEHryrBo HanpE)r(EH}|E t Tor(rl T

a qE rrltE

(9.1)

t=U.v=U.rl(Gr + 6=;a + (Bu - B-)=

.

E saEucuFrocr crr crorHourEH!rETo He pEaF:Tr/tBH!lrE 4.Koxrooaxl llnoocx GLCTIITH' or nociEAo'3pCloPrlricTOPr 3O!XHt r xoHAtHtlrop lrrHxxlr

e) flpn Klxao ycrolxr ftrHo cllptlHr|

all

l:Prirrr

xaHc Hl Hanp:xaHxtl? a) KoH ce rlaParlrrpxlr r rrr'rH:Hxrro

Hl l(ollto |.lctxr aa Ao-

roHaHc Ht HrnprfrxHt?

osere Patrlixe ttEraY HanPttrHllf To r npllrof:|l| nPoTl'llatu|rt nPtl HEt TOX npx NacTlnlaxa He

Oaf

pIroHrHc? a) l(rxro npEAcTarnrre xlalrctltHl'lrr KIX CI

r,rr'lfcAlle?

B- BEpHrara

naLIHTHBEH lB-

:I BL I

MoxE Aa rMa HHA9HT9IBEH lBu ,! Bc lr nlu

elirhBEH

Opu BL = Bc ce norvqaaa

oexToP Ha lfPrreTl

lBu = B-;

Ee-

xapaxrep.

rrrrHa BgauMHA t(oMnEHcaqxs Ha

i'

taH-

AY|'iTHBHeTa npOBOAI,IMOCT 14 Hanar{UT14BHeTe npoBOAHMOCT r nFH H(]9-

BEplilraTa

HacTlnBa

5lB/IEHHETo pEsoHaHC Ha TOHOBETE. E

TC]314 MOMEHT aAMHTaHCIT He

r}KeKrrIcTolHG,ctT.H.xHn;ArxceHr.sPxr.TanpxPI-

xo xtx lrpxrtta

Bu H

To BtB

arAr ao prtoHaHC Ha HtnP:rExrt?

r ) Kaxra r

crn

npoBoAHMo-

crottHocrr

BEpHraTa AOBBBa MHHHMaTHATa

pEcn.lrMnEAaHclr-MalicHMarHara

cH croBHocr.

CH

ToHbr

I

E} OEUIATA T{ACT HA BEPTTETA E MNHhMA'EH:

I=l (I-r+I-z)2

(9.:)

+ (Iu-I=)2

= I-r+Irz

= UBr+UGa = U6.

npll pEBoHaHca BEptarara xoHcyMHpa caMo al::TrtBHe EHEprnsl Z MfJ'IIIE

AE

CE

PA3T/IE;||(AA

}iATO

E}iE}EBA/lEHTEH

EHTHBEH E/|EMEHT.

OT yc/oBlrETo aa pE3oHaHca Ha roHoBETe lBu=B-l

p€aETltBHrTE ToHoBE Iu

n I- ca

peBHlr

crEAEa..{E

r Ho nporl,lBooagHlt !t

cE

HEyTpanHsfipaT !

(9.3)

Iu = UBu = UB_ = I_

=GlI

r{}AETo Q"'1 e' xalrEcrBEH OaHrop.

Tegu roxoeE B

BaBHcri

Mocr df- HalaEcrB€Hr,rs oaxrop Mclrar aa 4

-s2-

- 53 -

v/

L,.-,

-f

Ha

cTaHaT MHOToHpeTHO nO-rOrEMl't oT T(]xa

(npH

!tBToLtHl'fHa I

LL.,'.--flp-o-p-gtnAB!-e-*H-B_.1!--s--_c:4_g-&9_aE"E_r_e.

l.Cerpaea cE BEprra no cxEMara Ha Oxr.9.l.

c BHCOI{ HeqEcrBEH oaHTt]P. Q:}:1 ) '

rpEnTs|ui l{p}r

3a pEsoHaHca Ha roHoBETe (Bu=El' ) t'lone

Or ycroBnETo

cE onpEAErh ta pESoHaHcHara qEcrore

ltEnra

fo'3a

HE5|

CA

AA

rp96Be Aa

np|,lpaEH9|T !l 06pe6oTslT ld3pasuTE":.

(9.4

)

?nfoL

Xu Fu=--*u Zr=

R"2 * 4nzfo2.-2

* -U,I*

(9.5)

?nfoC

X. B-

Zz?

Rz? i

1

4nzfo2Cz

npu pEartasau,taslTe Ha /lasoparopHoro

He HOHAEH3aTOpA ce MHoro no-Ma'Eu

npHEMai ltE sarytHTE T9EHTE Ha

ynpe'(HEt{HE

BosrHara

l,| MoreT aa cE npEHEtp€rHar i FECn '

otellE

oT 3eAa

cE

oHEHnpollEcHar04gMeltacToTE/|E}{TpoTE}iH|4ltEc|t|4TEc}op.b]fiEH|,t'.

HHE CE

Ha nocotiEHoro

OSE3nELldBa nplr B roan

9c/l(]EHE np'| /Ia6operopHoro h3EOpa

Ha

crtyr{ati ypaBHEHHE (9.5)

ynpaxHE-

BOEtlHara H l{oHAEHserOpe' aoeuBd Bhadr

1

Br(rrort€HH HEoEXoaltMltTE Ba xSMEpAaHX'|Ta

EaTEpXg, BOTTMETIp h aMnEpMETpX

TOll , Hf,lCNor.lEtrTOTEH rEHEpaTop

l,t ycttrBaTEA,

Bar.f c npEAna3HrEAn n ctEAltHltTErHx

(9.5a)

E-=--

(npr

pESoHaHCHeTa LtECTOTe

il-'-lo

ABVF.oA|pCEH

npoao4Hhtll4.

npEXlC-

clnpoT14 BrEH!,IETO

cE EXcnEpltMEHtH 3a noryr{aBaHE H r3cltEABaHE PgaauBnpat

cE npn TBMEHEHHE

- t(anauhTEt:

l:aro cE nPrPaBHslr H oBPaEorslr h3r]a3urE (9.4)

(9.6)

npc,MEHrltB

Ha EAHH OT naPaMCTpl,tTE He ErE KTpHr.tECXaTa E€pHra !

4nafozCz

3a

Ba

r

uscaeABaHETo Ra cE nFEHE6pErBa kaTO HEsHaqt4rErHO!R2 = o). ?.npoaExAar

=2nfoC.

I

!t3-

R1 E ixThBHOTO ClnpOTuBrEH|,lE Xa 5O6|,|HaTara R2 -Ha HoHAEH3aTOpa

Ha tBTEHHETo pE3oHaHc Ha roHoBEtg,

?nfoC

anapeT|/|: SoFtiHa c

BECTHo aXT|/lBHo cLnpOTUBaEHl,l€ ,l no4,BLf(EH cTOMaHEH ClpAE,rH!tX lloHA€HsaTOpHa

npuEME Rz=(r. ToBe nPHEMeHE E aaEHBarHo Ha pEa/lH14st Eltcnrtoarauu-

yl3ntrHEHrETo

onr .9.

cE

lc

cE norvlJaaar

-*

u (9.5a)

- IdHAyXTHAHOCT i - qEcToTe. P:aonaxc

MorE Aa cE norg.rlt

h npn ctltETaHo

HaMEHEHI4E Ha

TplrTE napaMETlpe Ha BEphraTa. a) 3a no4yqaBaHE

Ha rot
?nL

-54-

-55-

-F _-

nrtrBr4TE AI]a nepaMETlpa Ha B€pHrera

- gacHEMat cE iaBucr,tM(]CTHTE U=Fr ( f ) . I,=F,

cE noaaBa npoMEHn|/tBo Henpg-

Ia = Fs(f).

l::aT0 CE H3MSHg l::enaqHTETa npH nOCTOslHHa hHAVF:Tt4BHOCT

:,t(EHhE H

Iz = Fr(f).

BlsAVuJHaTa MEfiAHHa ME)ttAV HEro H to6ldHATa) np|/| nO-

oyHHlll|r

H Bg = f1-.

&L .:: E- , Et- . rel="nofollow"> Bu

6 ) J'a norVLlaBaHE He pE3oHaHca qpEB H3MEHEHIiE He qEcro-

cE H3nOnSBe Hncl::6qECToTEH TEHEFaTOp lllM l{olATO CE B144loqBa

TaTa

c uEn vBE/rr,rqaEleHE Ha HsxoAHaTa MoulHc]cT Ha rEHEpeTopa

BEphrara.

r,:!M BEpMTaTA MEr(Aq Tstx CE CBlpsBa gcrlllBaTE4.nFEAl'l

3anoqBaHE Ha

H3MEpBaHH$lta CE HSqnCr5lBa pE3OHaHCHaYa qECTOTat a npH

npoBE)l(-

AaHETO HM CE CAEpf,Ba UsqhC.4€HaTe CTOttHOCT C hsMEpEHara ylsarFruear cH h3MEFBaHHs| nph crE4H14TE gc4oBrtsi:

f = f c,). f r, .i f

r<1ro

t^

'f

=tcr.

BcjnTMETrptT

npar.'r'H.tEcHtt BEpHrara

ulE tlA€

(npH

f .l for

B pE3oHaHc r

Ho-

HMe Mal::cHMarHO oTXToHEHHE. aMnEPMET'bplT A -

MHHHMATHoi a aMnEpM€Tpt/tTE Ar !t Az BMaT E4HaHBl,| nOKeSaHU5|. Ttfi l:iaTO 6rJEHHeTa |4Ma aliT14BHO ClnpoTHB/lEHl,tE h TOXIT npE3

HEs| HE

E

npra L=const.

Ha

nFaxYu!{e npH cruloTo noro,i(EH14E r llPu'. }loETo CE nOryqaBa

MAXCHMA/IHOTO OT}i/lOHEHhE HA BO/|TMET}PA U MUHI4MA/IHO OTX/IOHEH'IE

Ha aMnEpMETrpe A. :laToBa no-npaBh/lHo 4a

cE

E pESoHaHcHoTo

lrcTaHoBl,l nO nOXasAHHgTa Ha BorTMETlpal,|

AMnEpMETLpa A.

UE,4Ecr(]6pa3r{o E ctulo H3MEpBaH!tsre Aa cE !l3BlputBar LTECTOTA

no/loxEHHE

HltHl,t'r

.

T.H.

pESOHaHCHt4 r
ocEEH

flo rgx

cE

pEsOHaHCHHTE CBOTiCT€e He

LC

pEry,/l14pa ltpEg

BrpaAEH

E

cE

|,lSMEpEaHETO npH

f=fo

"usMEpEHH

MEpBaHrs npu f l fo pr fo .I f

HA

rpao|4l{HTE

.

L.I.-I"-r"l!ng_A-_e*.f*rt._1l_9.-3_y/-f .g.-r--F.-tr-.1;.pBgnlif"

A. hom:pexltrE

h H3r{Hc.4EHH BEnHr4hHH Ba

napaMETtrtirE Ha

ErEXTpt4qECHaTa EEpltra nph HS.cTEABaHETO li C !IsMEHEHHE Ha t::ana_ -.1.' , j fllrTETa h4lt UHAvRT,tAHOCTTe E TpHT6 CryltAlX - nplr ErL.:.Et- r B_.:,Elr. u Bu=B. cE HaHacsr B TaEr.9.1. yfg.rr,rcrslBeT cE EErHr{HHHTE Ha trAeAHurE naFaMETpvl

l.hMnEAaHc Ha EEpnrara

!

u

! = ---

:

I

2.huneAaxc xa

U

EoEnHara !r = *-lr

.

l-S.hx4yxrneHo ctnporuBrEHhE Ha 6trruHara Xu=\rr=-Rra ' 4.l4x4yxrneHocr Ha roshHara 5. l{anaqrlruEHo c}npor}tBTEHHE

Xr

L = --*-2nf

.

U

12

6.HanerlETET Ha H(JHa,EXsaropa

I

c = _______2nf X-

R1

T.AxrHexa npoBoAlrMocr Ha 6o6l,rHara 6r = -----Ir?

-56-

BEAU-.

CE |,lsEbpluBaT Heti-Ma,4].;o ncl 5 rae*

Hl,lcXoLlECTOTHhs rEHEpeTOp pEry/laToP '

ylscnEABaHETo cE npoBE)i(Aa B crEAHt4sl pE4 !

u

U=consti

no-TorlHo n(]cTpos|BaHE

l::p!roBETE ca nC] splio H3pa3€H14.

B npoqeca Ha HBMEpEaHrs|ra HenpEt(EHHETo Ha BEprrara

C=congt.

= Fs (f )

nocTpogBa.r rpaor,tqHHTE oEpa3H Ha oVHriquHTE "

npl,| noEHtrEHa

!t MA/|"A !THAY}ITHBHOCT 14 KANAqHTET. NP,| B}iCOI{!ITE YECTOTX

I=constl

cE HaHacs|T B /|sBeTa qecT Ha raEa.9.,1

qHcTo 14HAVtirr,lBEH HspaBHsBaHETo Ha TOXOBETE I r H Ia HE CE no/l9qaBa

_-l

n

- H3M€p€HHTE BE4hLTUHH 3a napaMETpHTE Ha T(]trHHTE

CTOSIHEH l::anAU,!ITET CE OTT.lHTaT nC1liaSaHHslTA HA ypEAHTE npU CrE-

AHHrE lfcloBt4sl

C=congt.

- sacHEMaT cE iaBltchMocTt4TE I = F+(f ) .Ie

HnH l::aTO CE 143MEH5| HHA\JI{TtilBHOCTTa C>C CTOMaHEH!lSt CbpAELlH14H (C nPcrMslHa Ha

npn L=const.

.t",

1

-57-

7'

-c Xg

B. Pe axrrexa npoaoAruocr Ha 6O5llHal3

Bg =

OyHxqnxrE: U=Fr(f)!

ztz

ta l=const. 1

9.

Pe

axrh gxa npogoAr,tuocr Ha KOHA€H3arOpa B- = -----

lO.nLrHa npoBc,aHMocr

Ha

TO'
ll.AxrxBHra n pEaKTllBHll Iu = UBur I-r

= UGr

.-EEprrara y = lfGa2+(Br-B-)z

Ir=Fs(f) .

r l2*pt(f)

npx L-conlt.

Crcongt

TE ,Mat Bt,rAa noKaJaH xa Oxr.g.S.

nocrpoiBar

.

.x=

Ir=Fz(f)

r

cE rr rpa0nxxrE

Iz=Fr(f)

npn L-constr

Ha OyHxr-Urhrt: I*Fr( f

)

r

C=conBt H UEconat. TE ,cr

noHe3aHl4 Ha O]tr.9.4.

ABara EroHa:

I- = UB- (I= - Iz r I-z = ()),

r

Br

12. Oaxrop Ha MoutHocrra Ha sEPHraTa co6 i{t= ----

.

Tasrrqa 9.1 |

ltsMEPEHr4

INo I

BEmqxHrl

|

l,lStll,lCrEHH

AErnq!lH!l

F-r-r--r--T--T--+-T--T--T-T--T-T---T---l---T---T--T---T---'l

lUtIlIrlI:lRrlf f

lzlzrlxulLlXclCl6r

lB- lB- ly

llulr-rlcos

-+-+--+--+--+--+-+--+--+-+--+-+--*+---+---+---+--+---+---{ ullzlt(lu.fi tl-(t l${[ft llttt(l-auJ}-tll(l-rlLO-r lA I A I

lV lA lA lA lA

I

l--+-r-r--r--r--r--+*l--r--r-r--l--r---J----J----r---r--r---r---'{

tl ll tl

L

E.hamepexnrE

gEr!l{}lHx

3a naPaMErpt,trE Ha E,EKTPr4qEcxara

BEpnra npt4 H3c/tEABaHETO A C l,l3MEHEHl'lE Ha qECTOTaTa f , pecn 'ec-

a

) BulB=

AUi{nHnfE Ha napaMETpxTE Ha ogHkllHgTa Fr ao Fo cE HaHacgT B AABaTa qacT Ha TaE, .9.1

"nsue pEHl,l BErlrqrHr

rr

E)

B.}BL Our

r) Bg=$=

.9.2

.

B.nocrporEar cE crEAH14TE rpaorKll! l.C }lsnoaaBaHE Ha noryqEHnrE nqn ttsE/|.eABaHETo (HsMEpEHH I,I I'3I.IHC/|EHt' ) P€3Y'TATT CE NOCTPOgBAT BEXTOPHHTE ATATPAMH 3A

iinr:

cayveli ! BLlBc, B=)Bu !l

Bg=Es. TE !tMar Blraa noxa3eH

Ha

Onr.9.2. E xoxxpErxo !lscrEABaHElr cryeaB np|,| Rz = O c]craBXara Ira

= 0. 2. C ugnorrgBaHE Ha ]lSMEpEH!trE BEaHYuH14 npa nacAeaBaHETtr

Ha BEpUraTa c nPoMgHa Ha r{ECtoTaTe cE nocTpo!|BaT rPaoxxxT€

Ha

olrr.?.3 -58-

-59-

\.- t

-F

I&.j(e!fp o,r {L. e-}n Qoc!!" I. no xorxo Haltt,tHa h c nPoMiHara grEKTpHr{ECXata BEpnra Mo,lE aa cE

norgq|'r

Ha xou hapamerpu

Ha

Kgt|E-Ur{Ar-oF-I4r"E-F._A"EF-3AA t_._ 0_q

2. Kaxer ce pEaKTrBHt'lrE npoaoallMoctx Ha toEhHera

h

He

r(oHAIHsaTOpa npll PEloHaHCa Ha roxoggrs?

HgE!!4.. J EpEEjUSHI4-IIA4IILEHUS!

noa rpr,roasHa crcrEMa or E.a.H. cE pestHpa cLaxynHocr or rpr,r clfHycouaa//.l/u aeanqnhr/ c EAHaKBa qECT(]Ta. KOTaTO TE3!l BE-

3.KaxreEnoro,E|t|tiHaIMnEAaHcLTHaBEpHraTaBMoMEHTa

l,r Ca AEOaS|,|paHll Ha tr>a 2l/3 "r"nnrryAa EAHa CnplMO Apyra chcT€MaTa E crMETpXr{Ha. 3s TaxaBa cllcTEMe nHHr,fHf,f

He pESoHaHca?

4. Kaxal ttlE Braar noxalaHngra He aMnEpMETtpe B HEpe3t{roHGHaTa Hacr Ha EEpHraTa r,r Ha BO/ITMET]Pa npr prsoxaxca?

Ca c: EAHak""

AHA'HTTI!.IHYITT H3PAs HA OTAE/|H14TE

$. Kaxar lt|E StAar nPx FEsoHaHca toxoBETE npE3 BostaHere !t xoHAEH3arOpa? 6.npt.tSacHEMaHEroHaOyHxuHhrEU=Fr(f)rtr=Fz(f)ra

iETE

II

T I=

3 MOMEHTAI

E.A.H.

€!

ea = Ea.ein(wt) ; €r E Ea.sin(lrt-l2Q-)

|

ec = E-.sin(hrt-24oe)

E Em.

rpaonxara lra rEXHlittE

f==Fr(f)npxl-congtSautoHEcEnoryqaBahspaBHsBeHE)larol{oB XONYO TMA MAECHMA/IHO OT'{'OHTHI'IE

NOIO.

143-c.rE4F6fi--E_HA-JPl49-A$H4..-HEPl4!--AllF-!4".!-BbP3-BAt!8"-ttA

pgSoHeHc Ha roxoBETE

ira sepnrara?

E

CNPA)I(HE.HN

AAE OPATOPHO

MoMEHTHH cronHocrl,l

!i

gin ( wt+12O-

)

BEKrOpHara al,|arpt-

Ma ca noxssaxx Ha OHr.10.1 HA

BorTilETlPa (U e U---)?

F

-B

Oxr.1Q.1

Crexynxocrra or HoHcyFraTOp

rprtOa3Ha cltcrEMa or

E.a.H. r TPxoe3EH

H clEAllHl,lTE/|Hh npoBoAHllllh cE Haphqa Tpl/|OasHe BE-

phra. noa Oa3a Ha rpxoasHara EEPHTa cE pa3Bxpa gqecrlx or Tpx0e3Hara BEpHra no t1ofiTo nporllqa EAHH x orAErHhTE oaBlr HE Ca CBlpSaHr

EnEKTHtIECI(n

clull,l rox. Koraro r TplloaSHaTa BEPH-

'ra E *ecelp3aHa, e npn HarttquE Ha ErEt
Tak6Ba. cl/|merpnrxa rpr.roesHa BEPXTa E TaxeBa B xogro' //^

,/ 1 1",*-. .--._ L

,r.r-.\\ \-ar_J_

T(]I::oBE

ToraBa

EAHo

;i

i V^ =V) =V. =V.

cEMETpl.tsHa cHcrEMe

ia = I_.sin(wt_p i ip = I-.gin(wt-l?O'-P) I ic = I-. sin ( wt-24(r--f) = Axo

(1().1) or roHoBE xMa B|,'Ae!

sin ( wt+12O--9

(1(1

Tpl'lOa3Hara

ngn]rHEHor

cncrEMa

or

rEHEParop

Ha rpuoa3Hhs E.a.H.

H

HOHCyMaTOPIITE Morar

npoBoAH14. t{e'rprnpoE(]aHr|TE

floAo6Hc]

3a

cBtp3BaHE Ha rEHEpaTOpa F

3B€3Aer

oT

}|

(1().5)

rE:

H

cHMET[i!lrl]{ci

rhL-T[iFl3

!

E}cUql::h

OA3t4

CE

roqr::ca C

ctoEAHHEHhSl

Ha l::oHcyMaropa qaBar .4hHEtiHH

[-la.

c

H cE

nooTt/|qautH

no

t::FaHulari:i

Us.

Bcstl::a

$a3a

U-.

TesH

osHaqaBar

c Uae.

'

11(-rt4EEa L111h HE!-lrFa/.lHa i

a

crorBEl'HHTE

gE HaF-,14({ar " ME]+iAr-r AB;r

[-lec.

oASh

oa3 a;

-6.f-

E

4'lllEt4llll

Ha t':flaHrttfir;:

HE9 npOBOAFfl4l': H(-JnEE}. HAnllEriEHHFTa:i 3a

Hi

'ri-lrtlr'n r a TE:iHld I

lt;-iptlr'lc1lltl

ntrClFAAHHtl.H I

HeeBaHHF:TCl

HGcH

t::lEi:l14HE]lHE: Hri

l::()E rcr

E 06Lll.i B1'3/1tlB;r

CIEAHHgBaT

C-bEAtlHHTE,4llH

C!C

-

ral::cteit nFlll

H |::oHc(tMarclpa.

rEHEpclTGpa

Ha

cE pa3EhFia

3etE34,a

c!Ea,vtHEHHE

EtLg/toBara

-62-

.1 !l

S = f,.Ur.I.

OaSHTE

HAqa/la

Ha TpBoa3HaTa BEP}|ra E cyMa oT

F'i14r{t1

n=l

n=I

noa

MoMEHTHHTE

c H3[]a3u

aaBa

HETHME r

f,.3 (lC).5) 5 = X si^ = x lJ-I-

|::OHCyMeToPa B TFrlr1'/lHl'lH :

Qur, !0.2

pHorf3l{ct

Ha rp!lOa3Ha

MouHOcr

n!,/tHara

saE}HC14MOcTHrE

B C!l4cl

"I

Ha

tJ-I-srnY-

u t{ETpll-

ca

i:i-.'

ng1

cl'lrEMl4 ca rPrnpoBoAHt

e |,t3otpasE-

MOTUHOCTH HA BCH}'A

A^=3

Q = f,Ue.I1.sinf

TptA AiIHE'.HH np(]BoAHttxa u EAMH H9.irEB. Ha OHr.lO-2

I'IOMEHTHATA MOUIHOCT

n=l

(1(:'.4)

ClcT(]liT

Ic

3:'

CFIP3BeT

sBaHE Ha rEHEpaTope h )ioHcyMeTopa B 3BE3Aa l,l trE

Ha rpH$asHa chcrEMa clc

a=E

.3)

cE

CHCtEMa

CHMaTpHqHa

aa cE cBbPSBer no

C!ICTEMH Ca BtsMOrlH14 CaMO npn cE}p-

r r

l::cJET(]

MOUIHOCT

oEar::THE HaTa

cl'gregrHo

(l(1

]{an[]EtEHHsl

F = 3U+lccosY.

TEHEpeTOPHTE CE

/,Ba Haql4Ha-B 3BE3Aa |4 rpHtr.rrHHH. npEAHMHO B sBEAAa. Tprqa:xurE

rPBOa3Hara

ct3AeBall|r

nOFaAH

PaBHH i

.:)

TpHoASHe

cnc'r'EMa E HECHMETp14LIHA.

rt:

Ct/tCTEMa E C9lMETpHclra"-OascJBH

ca

)::OBE h !rrH

Irn.

.c}=f..

F.= X F'- = Ij tJ^.1-. n-l n*l

Al:O TFHOa3HaTa

or nocoqEH,lTE yc/toBr49 HE E

Havorr';nre

r!-Jts1i:r--

ra cJT a'::IHGtHH TE MOtllHoCf |4 lra (]TAE,/IHHTF Oa314:

caMarop E crrMETplrL|EH T.E.:

lpHOaSHara

MoulHocr Ha TEHOeBHaTa cHc l EMa E paBHa HA

Ar,:rrexara

r l::aTo noc/lEAHoTo E E'b3MO,(HOr CaMO aXO TproaSHU9T HOH-

Za = Zs = Zc

* 11=.!.a + Llc-'.lc

A = Pa + pp + Fc = tla.r.6

!l CHMETp'li{Ha cHcTEMa oa

AEficTBa cl,|METpl,lqHa CncTEMa OT E.A.H.

U--'

o,:.-1(]E}H H c:E

/|HH€: ilHt4

tlLlcltic!d,]'lHt:l;i

--.[aor

-

TC]t::clBerE

Arr;r,rnru*rxc-'

Ca $aSnFrH

(:}.!l{.i-

Ino.

Icct

tt

__T_ r < i: b,!Ier

lHc,

naeHY

npOC}OAHlill'l9lr

nO 4HH€HHHTE

Ha tE3H

OSHaqE-

In..i (1l-i",li. (

HH {.

lo.

i: rOl,lHOCl

E paBEH

liotlTo

He c E}EI::Topr

TE HA EOE}::TIBHATA

(

5).

oBr.1()-

EOerlr!lBHaTa npEACTAEE-

npOBOAHH]:: MO)i(E Ae t]4E

rO]::a B HVn€B!19

Ha

AttHLrtHn

ta xapltqaHH

lc

I-.

cvMa

He TEOMETpllqHATa

oT

CTO]aHC]CT HE TO}::E HA CIOTBETHHTE

BEliTOpl4-

-++'+ Io=la+Ir+Icr

Il cgMa

M!| CTOI,IHOCT Ha arrEEpt4!{HaTa

a MoMEHTHaTa CTOI,IHOCTH:

fn

t-

ol

1) ca

s = fT,u..r^ hJE[]i:iaaaBh

i

IlA

i ,

]rE:]aEHcHhtff

t'l:.:itjz1F-ilLtAHF-

oT Ha!lHHa

Ha cB]p3BaHE.

I().

I. iloc'raesr cE 3aAaqara Aa cE tagcrEABa noBE4EHHETo TpHgcri3Hara

+ lc.

^. cr:sY

S = IT.r-r^.I-.sinf

. IlF![.]Ij|:: X/1irillE:.

MoMEHTHt4TE

\J^ . |

r Morar 4a cq npEAcraBgT !}}F Blraa:

EiEpHr

Ha

)::olrc,-JMdrop cellpBaH B JelE3aa (/r)

a c

e

crlIrl]1ft T!: [iri;t,hMH !

I

lUn

+ lr

= la

Io

rli).1(-))

r(:il.4 tf:!

OASH:

t. = I?.

Li.i.9 )

it,t.-1

(1{}.1.}). (l(j.6)

1- l. [-nvr: r pH\1E]r .- Faexor'repHo ]{arorlapBaHg

L f<.rc

ls

llprn

--.Iao

;rr,: r

Ha rpHTE OaB!4.

lrer:H ToBap !iMnEAaHcHTE H !t-L/te1 Ha AEOagupaHE ME,i{Ay

[J u I :au;cer::a $a3e ca paEHH

n6ME

jfiAy cH

(

15 = 6. H VO= o)

.

?'6

-r''.1

At{o cl4crEMera E c}lMETPur{Ha: Uap = ljpc = Uca = U. i f^ =V-

Ua = Up = Uc = UO.i

Ia=

Ir=

Ic = I.

]iaro ntrl,| ToBa ce aanuar'l.n (

lct.7)

Iao=

lao=

i

Ico=

Ie

E

) c Hv/rER npc:*:OaHHr,: (Ao)

xzrnr }.:.o - oreopeH;

1l; .

Oa314 .

cMEcEH

a) 6E3 Hy/lEB npoBoAt{Pl}:: i

qara E nol::a3aHa Ha O|,|r.1C,.4. F:e}{To h

noltaSBe.qE roR

) EE3 Hy,{EB npoeo4Htil:

;A * iH * 2e t nclcpE4,c'r'BCIM npoMslHa Ha napaMETpurE Ro b X+

Ha HenpE)i{EH149Te h ToHoBETE 3a

CltEAoBarE/tHo

a

t-r:

:-]ii alirilBEH rctBap cE: pEar!rB14Fa Ra + Rr * R6. a ta

3aBUCHMOCTHTE !

Bexropxara

(1{l .B)r

*

Y'

I . ":l IlEcnr're rpH!1EH - HEpaetHoMEpHo Hart:elapBaHE Ha rpLrrE

.

Flocaraxoro

=Yr.

r

(10.8) u- = I?.u.

cH'ocrra

=Y.

I^ = Ie i

ararpaMa

-- pEai::THEEH ToBap cE HA/taraT ctulHTE OrpaHhHEH14St i

r:ja.r61 ? = \fR'-E?.

. Ot,lr.l(!.4

oHr . 10. J

ar::THEr"rC}

ro'f14 cztv-

Or HEg 4EcHo cE ycraHcjaqBa 3aBHc}orHotl,EHuEro

?^

*?

+i.

= o'

npE3 Hy/lEtHs npoBoAH,|l:: HE np(]rHqa rol:: ' cE orcrpaHH

Mo:'l{E aa

H Aa cE trpE MHHE t::tM

E) c H9,1EB npoBoAH14x, 1....:i t. rrpEl::Lc€iaHE Ha E4Hea or

a) EE.? HLJTEB npoBoAHHt,: (l:rroLroEE lia Ohr.l().7),

yl3no/l3Ba|,|Fi!l OoPMgr!l

(

1C,.7) |4

(

1C).€l) !i3pa3|/|rE :r(t ;rl' r14BHe-

TepEal::T14BHATA|4n],/lHaMOUIHOCTHaChMETpHqHalpHo'r'illrrchcTE-

-64-

l-lper::

bcBatir{14 B

BHAa ntr!::A3eH He1 oHr.l(1.5. qEHh

TpHnpoBoAHa Tp!roasHa cHcTEMa.

Oa3HTE,

lrcl

c/yqas

u

l.:.o - orBopEHh

$aBa A BEphrara

Ha

npHAoEHBa

ltarc] oa3e E H C CE Otta3BaT

B1::n'lc-

/1HHEtlHo HanpE){rEFrHE uec r }iaTo npH paE}HB HMnEAaHCn

HanpE:,riEHHeTo ME'r(Ay TgX CE 4E.4!t

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ncrrox or roxe

F €rEXrptBEcEr,trE BEprr!r, xorro clAtpxer

.

r,BEH ETEMiXT npX C|/|tgCOXAe/HO saXpariBaqo HanpE)t(EHFE, tlptrBltlE He foaro6ETE Ha gEp|/traTe ca HEctHgconaarxr. 3a eHa4!tT!r.tHoto !r3ErEABaltE xa !Epltf xTE ltE4tat{E8Ht/r tarravt(Tl|BHOCtk ,CE CtCtaE9T gpaBHENt,9 3a

Orr . 14.

HETt HEEB lrHAyH-

MOMEHTHl/|TE

Ct06HOC

Ha

ToxoBETE r.l HanpExEHngrar clrracFc) 3axoHltrE Ha HkpxoO.B npak-

oEycroBEHa or rary6rrE

B croMaHarai dp_pEaxrrsHa, HepEqEHe_ outE HaMerHrTBaqa. nbpBele ctcTaBr.a crtnaAa no Oaoa c nphltoAEHoio BenpE)fiEHHEr a

Ha

3tifrCrrl€rHtt

lBAyr{TraBEX E^EMEHT np|. Ctaqror{epH|' cnHgco|naarslr pE,t(,|Mx E Ha-

h4r

naparE,lHo

npEA-

ulra9k.lr,tBEH ) .

nolrarar qE pEarnuTE t{pxBt Ba SRnpExEHr9Ta X TO'lc'SEtE Ca 3a-

Herfiqr|ETo

MEcrEH,| c

BTOpATa-!t3OCTaga Ha \r\n

|'OAaArn CICTaBEH,| cBtp3elt,

c'T

486

nOCrEAOAaTErlttl

traEaAH|r'. Aevno4rocHlr!1|,| (pE3|,lcrrBElt

arsayl|lHa

x

MEXA!|He 864|/| AO gEErXr{aBeHE Ha

€t{Bh€a4EHTH!t cltH9cot44|,|, CrEA teKoBa BIBExAaHE

-47 -86-

n/2.

ClctaBHatR ip c.!gAaBa MArHrTHx5t noTox B.bB OapoMarHgrHoro 5Apo. TeEoBe npEAcTaBgltE B€r roria no3Bor96a cLiAagaltETo

T!tr{ata uBpoxo nphltor(EH!tE npli !t3crEABexE Ba 6Ep9lr!| c HEr!tHaElt MEplt4 METOATI .Ha gCltOBHOTO a!tHEeprJ3HpeHE, npB 86ro cE

TxBHr EtctaEkn ! i--arctrEHa.

L

iaartNtHofo ctoporBtrEHriE He lEpr|'eta.

ia norv-

craAogaltrtot

taaalta Ha rArx r clnt Mar.lrlaH notoE alb aEplra c

,r

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a frrtArilTa t HCosxoA|'irvlo aa Ea nPr^o*u no-rortHa niarH|/| ToBLa3gArrErHa c|.ra npH Bip|rala c gtg49t!'|a Ma,iarNar T,E.

AyfffH

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e - Hr.-..1.-

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H....

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y9acrLr( i

(

14. r.', )

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t4w

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ao no-

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no-rortMo,

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l{a xaraHoro no-ropE

r (14.1')

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{a ur-r-}rdgld t, aa |,arHrrHr, norok ca Nrlaraar

[r-.an,r.,o. .-'

J.

u

i:-.Uirrn

(

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!4.2r.-

a{

,

He Slr|arxrrleuJt|a rc|xrxor_

Elngo_ .lNaralttat Ha -LitayllxaTa t{trarHa Hat aaForo. Ht|
Ha EFEAHaT; Merxrr;a rrHLs Brr oEpoMarHltHnt

6 - A.lrrstla Ha BtiAs|tlHata ME,*ArNa. Brfar c!, 9a xarr.|rrto Xa a.taayutHt ltEtar,|Ht roarul ocixtnFta glEtaBxa Ha roxa.

NHAyKrtlBa nFoaoaNtoct x ctcrlrxart

to otpatllat lrNlt't]ttto lta oapo|ltarHrarl|t, yr{acttt( Ha taFo?ol Br.-. lt 1r... ,rxatlta ,[lAyt(Tt rHa npoaoa,axoca tt cLctltkara ]tr patxtrtHl.t Hlt{aaHrtlall tox, olgcrcrltx, ot ittrHfitHo?o

+H....6r

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c Bo || l- ca orBtgaLr,t HarlHatHl aklrrHa nporgtrr.oE, , axtliltta CtC?Alka t{a .rOtaa, OtycrcraaHlt OT X|dfrp:axcXLrt rl4tt|tr 1r lrxpoatil: ro|
a--U-/lrl{.

or (14.2) cr.arr, rta r',taaHrT'|l|lT notox I tattrxatl kl ,roqraaa no a-rr 6r 8-npGtixNtTo c rrr, 90Cloilttxoto t,A.|l. , r|.AyklhFrt{o ot oorotaa t) (14.3'

crorEErcrs96a raMEcr6aqa

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xtaato

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notoxa Ht

90-. BaxtopHrta Atiarpa|(l lta ,ararHarr ,raxgrke c OtpotiarHtr,|o ir4Po|,t trrlyuxr |,!rAll|la r nc'xa|tHa xr Orr.t4.2r. 3a rakala NAtartirrpaxr xai.crrkt c t)aponiHxrrro rApo t{o*a Aa c: noctpor k nocrtaoi-rtrt|a ,aiEctraut a)

O!'r .14

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Ilolruc nr xypciu

-90 -

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a

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(

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ot Ri+L----+W dt

do

dt

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a pEa4xata S,tMot|
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14.6

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Ha R(U) L

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napaMErFtlE Ha Earorkara (RrXrZ)

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arr .14.4

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r peo|n H,.j

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