flpu r{aJrr{qr.rH cyuecrBeHHbrx norepb BoAbI r{s BoAoxpaHnnrua,
3aBncfltr{Hx or ero pe)KHMa, B 6rox-cxeMe prac. 9.ll noqsfircq Heo6xo-
AHMocrb peaJrH3aur.IH HrepaIIHoHHoro npouecca npH pacrlere Q"(f).
nns cJlyqas, paccMorpeHHoro Ha puc. 9.10, v npl4 3aAaHkrt rpaSuxa
zr.a(t) yqer 3Tr4x norepb cBeAercfl K noflBJIeHHro JILIUb Ao[oJIHHTeJIb-
r-rbrx 3aBucuuocreft.
Vqer xoJtocrblx c6pocon na fOC npHBeAeT K noffBJIeHLIrc HrepaUH-
oHHbrx pacqeroB, c oAHor.i cropoHbl, Li AonoJIHI{TeJIbHbIX 3aAaq - c Apy-
rofi, B qacrHocrt.r 3aAarrH nor{cKa rr.rcJra H creneHu ort{pbtrttfl BoAo-
cJIHBHbrx ornepcrr.tr?, Ailn nponycKa xoJlocrblx c6pocon. 3ra ga1aqa
AoJrlKHa pe[rarbcfl c yrreroM AorroJrHHTeJrbHux QarropoB, B ToM r{Hcfle
cKopocrr4 MaHeBpHpoBaHr.rfl 3arBopaMH BoAOc/lHBOB.
9,3. PACI{ETbI PE}I(hMOB BOAOXPAHHNh!l.[
APyTHX ThnOB r3v
Pacqetu pex(HMoB [AOC. 3a,qaqa pacqera ypoBeHHo-
ro pe)KHM a 6reQos fASC HecoBM eIqeHHoro BI'lAa
Aarr neprroAa 3ap nAa 14 p a3 pnla z".a(t) v zrn,6(t), a
TaKlKe ocHoBHbIx noKa3areJIeE 3T14x pelKHMoB
Qr,lec U), HrrccU), H,,(l) ArItl 3aAalllloro rpaOI{.K.a
rla6orbr craHur{rr rto aKrlleHoI? MoxrHocrl'I Nrnec (/).
3aAanur xapar{repr4crr.rKr{ 5le$on zu.a(Vn.a) v 2r.6(V.".0); KnA 3apflAa
(nacocHuft-pexrarra) 
" 
pa3pflAa (ryp6r.iHusrfi pexau), a raK)Ke norepl{
Hanopa B BoAoBoAax hona npuHflTbl nocroflHHblMn.
Mareuarr4rrecKar MoAeJrb 3a\aqr4 rrpeAcraBJlflercfl cJleAylouutvt o6-
pa3oM. Lnn 3aAatrHbrx rpa(rr'rxos fflasc (/) n ,Vfiaec (l) Ha I'iHrepBarle
BpeMeHr.r T:t,,-t6 nptl lienecrHor,{ cocrorHl'lll 6leQon B MoMeHT to,
T. E. Zn.6o, 2,s60, npll yCJIOBI4H, UtO hnon:COflSt, ktx:COnSt, k'ry=
:.nnri," ip.oyetcit iafirn z,, aU) u 2,,i, a(t) , a ral{)Ke Q raec (t) ,
I/raec U), H^(t).
Pacqer BeAercfl npH cJreAyloilIr.rx AorroJrHI,rreJIbHbIx AolylrleHHffx:
pelKHM |AOC ycraHoBr4snlrrics, r. e. lpa$uxu zr,a(t) H z".a(t) oA-
3HaqHo cooreerirBylor V"a(t) v V"d(t); norepll pacxoAa B 6se$ax
orcyrcrBylor; 3aAaHHbIe rpa$r.rnn pa6ortt |ASC no MoIIlHocTI,I Aony:
crHMbr; pacrrer npoBoArircn D.iln |AOC c 6noquofi rHApaBJILIqecKot?
cxeuoif c o6parnnabrMti oAI4uaKoBbIMH arperaraMu, T. e. Tla:4rAOC,
H a;: H.t;.
OcHoeHHe pacqernble coorHotueHnfl r,Jtfl 3apflAa (uacocHuft pe-
>xuu):
z".a(t) : zs.6(V".aUD; zn.a(t) : zn.6 U*.a Q));
Vr.a (t) : Vs.ao(e".oo)
Vr.a0 : Vn.6o@n.ao) - .lI e"G) dt.
to
ArIfl pa3pnAa (ryp6uHnuii pe*xurr,r)
ffFnec (t) : Qf,aec (t) H: (t) rf (t)
f*Qiou, (t) H:(t), (9.41)
Qioec (/) : Q"(t) - dv"'.a U) ) 0;
H: (t) : zB.a U) - zn.a (t) . _ hnoa
I
V".a(t) : Va.6oeo.ao)- i q" (t) dt;
to
vn.o G): 4r.oo eu.oo) + l' O" (t) dt,
I.o
IipU
CoornercrBeHHo
a
+JA"G)dt;
(e,38)
(e.3e)
(e,40)
102
rAe
npH
(e.42)
(e.43)
(e.44)
(e.45)
fAe
fffae" (r) : +ffi9 - frf;,QFnec (r) HN U),
QFaec (l) : Q,(t):'g# ( 0;
HN 0 : ?n,a (t) - zn.a U) * h"oo
c yuerorr'r ,6a.n-aHca pacxoAoB.Ha fAoc FrecoBMelueHHoro Brrra no-rIyLIaeM' qro 
ltI: , | -'l --Lin..al ;"1. .."o2".* vs.a oAHo3HaqHo cBn-3aH c Vn.a Ailf saAaHHbt" s"u.reiir| V".oo i,"y".uo.
B t#-"f,1'frT,il,'[*ru) -rg +ol B (e 3bi ;" (s'iit- (e 4b) rr (e 38) -
I/Faec (t) : ktrr -dv".JL @u.a (V".nW - zu.o (Vr.a(4) _F hnoo); (g.46)
,,vfrA ec (t) : ffi lfft k,.a (v,.a 0)_ zn,a (vu.r,(t)) = hoo^). (g.47)
ilo.nyueuHue ypaBHeHHff oTHocflTcff r( r{Jraccy uenlrHefiHrrx ;trr(l_sepenqr,a"'IbHblx ypanueHuft I-ro noprrAria no orHoureHHro K Hcr{oMbrMnepeMeHHbrM. PerueHlte ,THX ypanHenHrl e o6qena BHA., T. e. B Br{AeauanrTrqecrofi 3aBHc?rMocra V" a or i;;." r.r t, neBo3Moxirro. Tonr-KO B IIel(OTOpr,rX rtacTilbtx CJryr12flX CBr3b Vn.a c lVresc rr / VO>XUO
(e.35)
(e.36)
(9.37)
246 247