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IAOeIIIAEUeIA AEAAeAIIss IAOE OE?A?IE

?INOEOOO I?EEEAAeIEO I?IAEAI IAOAI?EE ? IAOAIAOEEE

?i. ss. N. I?AeNO?EAA*A

Ia i?aaao ?oeiieno

OAeE 539.3:620.198

AAA?ENUe

Ieaenaiae? Iao?iae/

Aecia/aiiy oa?iiiai?oaeaiiai noaio iie?eoue

i?e aenieioaiia?aoo?iiio iaieeaii?

Niaoe?aeuei?noue 01.02.04. – iaoai?ea aeaoi?i?aiiai

oaa?aeiai o?ea

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei–iaoaiaoe/ieo iaoe

EUeA?A–1998

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a ?inoeooo? i?eeeaaeieo i?iaeai iaoai?ee ?

iaoaiaoeee ?i. ss.N.I?aeno?eaa/a
Iaoe?i-

iaeueii? aeaaeai?? iaoe Oe?a?ie.

Iaoeiaee ea??aiee: eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe,

i?ia?aeiee iaoeiaee ni?a?ia?oiee

OAA*OE Iaaei ?iiaiiae/

Io?oe?ei? iiiiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe,

i?ioani?, caa. a?aeae?eii ?IIII

?i. ss.N.I?aeno?eaa/a IAI Oe?a?ie

AA*EAAE* Ieaenaiae? ?iiaiiae/

aeieoi? o?ceei-iaoaiaoe/ieo iaoe,

i?ioani?, aieiaiee iaoeiaee

ni?a?ia?oiee ?inoeoooo iaoai?ee

?i. N.I.Oeiioaiea IAI Oe?a?ie

AANEEAIEI Aiaoie?e Oeoiiiae/

I?ia?aeia onoaiiaa: Aea?aeaaiee oi?aa?neoao “Euea?anueea
iie?oaoi?ea”, eaoaae?a oai?aoe/ii? iaoai?ee,
i.Euea?a

Caoeno a?aeaoaeaoueny “28” a?oaeiy 1998 ?. i 15
aiae.

ia can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae 35.195.01
a ?inoeooo? i?eeeaaeieo i?iaeai iaoai?ee ? iaoaiaoeee ?i.
ss.N.I?aeno?eaa/a IAI Oe?a?ie (i.Euea?a, aoe.Iaoeiaa, 3″a”).

C aeena?oaoe??th iiaeia iciaeiieoeny o a?ae?ioaoe?
?inoeoooo i?eeeaaeieo i?iaeai iaoai?ee ? iaoaiaoeee
?i.ss.N.I?aeno?eaa/a IAI Oe?a?ie.

A?aeceae ia aaoi?aoa?ao i?ineii iaaeneeaoe ca aae?anith:
290601, INI, i.Euea?a, aoe.Iaoeiaa, 3″a”, ?IIII, a/aiiio
nae?aoa?th niaoe?ae?ciaaii? a/aii? ?aaee Ae 35.195.01.

Aaoi?aoa?ao ?ic?neaii ” 25 ” eenoiiaaea 1998 ?.

A/aiee nae?aoa? niaoe?ae?ciaaii? ?aaee, OAA*OE

eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe Iaaei
?iiaiiae/

– 1 –

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Iaei??th c aaaeeeaeo i?iaeai iaoai?ee,
oaoi?ee, ?ioeo noi?aeieo iaoe ? caaacia/aiiy iaiao?aeii?
aeiaaia?/iino? ? ?iai/i? caeaoiino? aeaiaio?a eiino?oeoe?e ?
iaoei, ye? i?aoeththoue a ?aaeueieo oiiaao aenieoaoaoe?? (aa?aneai?
na?aaeiaeua, i?aeaeuai? ??ai? oaiia?aoo? ? iaoai?/ieo iaaaioaaeaiue).
Aeooaeueiei oaeiae ? ieoaiiy iaaeaiiy oaeeo ooieoe?iiaeueieo
aeanoeainoae ye ei?ic?eia no?ee?noue, ciinino?ee?noue,
aea?ino?ee?noue, i?oei?noue oa ?io? oe?iei aeinooiiei eiino?oeoe?eiei
iaoa??aeai.

Aoaeoeaiei niiniaii iie?auaiiy aenieoaoaoe?eieo aeanoeainoae aeaiaio?a
eiino?oeoe?e, ca?eueoaiiy ?o ?iai/iai ?ano?no ? canoinoaaiiy
aaaaoiooieoe?iiaeueieo iie?eoue. Iaeiei ?c iioe?aieo iaoiae?a iaianaiiy
oaeeo iie?eoue ? aenieioaiia?aoo?ia (cie?aia ieaciiaa) iaieeaiiy
iie?eoue c ?ioeo iaoa??ae?a, ui a a?eueoino? aeiaaee?a ? iaea?eueo
aeioe?eueiei, a ?ieiee – ?aeeii iiaeeeaei niiniaii iaianaiiy iie?eoue.

Oai?aoe/iiio oa aenia?eiaioaeueiiio aeine?aeaeaii? i?ioean?a, ye?
iathoue i?noea i?e aenieioaiia?aoo?iiio iaieeaii?, i?enay/ai? ?iaioe
A.A.Eoae?iiaa, A.I.?aaiiaa, TH.N.Ai?eniaa, A.Oano?, I.Ii??aae?,
A.A.Aa?a?iea, ?.I.?aaiiaa, ?.E.Aaeea?a, I.A.Eoi??yiiaa, A.A.Ieioiaa,
A.A.Eyoaiea, A.?.Iioio?nueeiai, E.?.Oooeinueeiai, A.?.Eiieeiaa,
A.O.Oaoeinueeiai, ss.N.I?aeno?eaa/a, I.?.Oaa/oea, Ae.A.?aauoea oa ?ioeo
a?o/eciyieo ? caei?aeiiieo aaoi??a.

Na?aae aaaaoueio i?e/ei, ye? iiaeooue nooo?a aieeaaoe ia
cieaeaiiy i?oeiino? iie?eoue, ? oi?ioaaiiy a iaieethaaeueiiio oa??
cia/ieo caeeoeiaeo iai?oaeaiue. Aenia?eiaioaeueia aecia/aiiy caeeoeiaeo
iai?oaeaiue a nenoai? o?ei-iie?eooy iia’ycaia ?c nooo?aeie o?oaeiiuaie
/a?ac iaeo oiaueio iie?eooy, neeaaei?noue aei??thaaiue. Oiio aaaeeeaa
i?noea a ?ica’ycaii? oe??? i?iaeaie, e??i aenia?eiaioaeueieo,
a?aeaiaeeoueny iaoiaeai oai?aoe/iiai aeine?aeaeaiiy, ?ic?aooieo ?
i?iaiicoaaiiy ??aiy caeeoeiaeo iai?oaeaiue a nenoaiao o?ei-iie?eooy oa
ea?oaaiiy oeei ??aiai.

Iaeiae, ?ia?o c oai?aoe/iiai aeine?aeaeaiiy iai?oaeaiue ?
aeaoi?iaoe?e, ui oi?iothoueny a nenoai? o?ei-iie?eooy a caeaaeiino? a?ae
?aaeei?a iaianaiiy, iioae?eiaaii iaei. Oi?ioaaiiy iie?eooy
aenieioaiia?aoo?iei iaieeaiiyi a?aeaoaa?oueny i?e neeaaeieo,
??ciiiai?oieo, aca?iica’ycaieo ? iaaeinoaoiuei aea/aieo yaeuao, ye?
c?icoi?ei, ia iiaeia a?aooaaoe a ?aieao aoaeue-yei? iaoaiaoe/ii?
iiaeae?. Oiio aeooaeueiith ? iaiao?aei?noue iiaeaeueoiai ocaaaeueiaiiy
ia iniia? aea/aiiy aenia?eiaioaeueieo aeine?aeaeaiue ?nioth/eo
iaoaiaoe/ieo iiaeaeae oeyoii iiaeeaeaiiy aeine?aeaeaiue oa?iiiaoai?/ieo
?aaeei?a oaoiieia?/iiai eaioethaa aeaioiaeaiiy ae?ia?a c
iie?eooyie: i?aeaioiaea iniiae (iaa??aaiiy, ioieiaeaeaiiy
oiui) – aaciina?aaeiuei iaianaiiy iie?eooy – ianooiia oa?iiia?iaea;
aeaoaeueiee aiae?c iai?oaeaii-aeaoi?iiaaiiai noaio iniiae oa iie?eooy
ia eiaeiiio aoai? iaieeaiiy c a?aooaaiiyi ?aae?aoe?eii-eiiaaeoeaiiai
oaieiiai?io c iaoith aeai?o ?aoe?iiaeueiiai ni?aa?aeiioaiiy ia?aiao??a
nenoaie oa oaiia?aoo?ieo ?aaeei?a iaieeaiiy, caaacia/aiiy iaiao?aeiiai
??aiy caeeoeiaeo iai?oaeaiue o nenoai? oa yeino? iie?eoue.

– 2 –

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa aeeiiaia
a ?inoeooo? i?eeeaaeieo i?iaeai iaoai?ee ? iaoaiaoeee
?i.ss.N.I?aeno?eaa/a IAI Oe?a?ie a ?aieao iaoeiai-aeine?aeieo oai:
“?ic?iaea aiae?oe/ieo iaoiae?a ?ic?aooieo oa
i?iaiicoaaiiy aeiaaia?/iino? iie?eoue a o?i?/ii aeoeaieo na?aaeiaeuao
caeaaeii a?ae ?aaeei?a ?o iaianaiiy oa aenieoaoaoe??” (?
aea?aeaaii? ?a?no?aoe?? 01.88.0022727); “Iiaoaeiaa iaoaiaoe/ieo iiaeaeae
oa aeine?aeaeaiiy iae?i?eieo aoaeo?a iaoaiiaeeooc?? ? oa?iiiaoai?ee
o?e c iie?eooyie, i?ioean?a ei?ic?eiiai ?oeioaaiiy eaoiaeieo ?
aiiaeieo iie?eoue” (? aea?aeaaii? ?a?no?aoe?? 0193U009585); oaie
AeEIOI Oe?a?ie 04.05.00/002-95 “?ic?iaeoe iaoiaeeee i?enei?aiiai
aei?iaoaaiiy oa i?iaiicoaaiiy aeiaaia?/iino? eaeioa?aiaeo oa
iaoae?/ieo iie?eoue a ii?nuee?e aiae?, a aoiinoa?ieo aa?aneaieo
na?aaeiaeuao”.

Iaoith ?iaioe ? iiaoaeiaa ocaaaeueiaii? iiaeae? i?ioean?a i?e
aenieioaiia?aoo?iiio iaianaii? caoenieo iie?eoue ( c a?aooaaiiyi aia?a??
aei?ii?ithaaiiy, oaieiaeo aoaeo?a iioieo ieaciioa??iiai aaco,
?aae?aoe?eii-eiiaaeoeaiiai oaieiiai?io nenoaie o?ei – iie?eooy c
iaaeieeoi?i na?aaeiaeuai, ??cieo oei?a iaoai?/ieo oiia cae??ieaiiy
iniiae) aeey aeai?o ?aoe?iiaeueieo ?aaeei?a iaianaiiy, oai?aoe/iiai
i?iaiicoaaiiy caeeoeiaiai iai?oaeaiiai noaio, aeey iiaoaeiae e?eoa???a
i?oeiino? oa aeiaaia?/iino? ae?ia?a c iie?eooyie.

Iaoeiaa iiaecia ?iaioe iieyaa? a ianooiiiio:

– iiaoaeiaaii ocaaaeueiaio iaoaiaoe/io iiaeaeue iieno oa?iiiaoai?/ieo
i?ioean?a i?e aenieioaiia?aoo?iiio iaieeaii? caoenieo iie?eoue;

– io?eiaii ocaaaeueiai? iae?i?ei? a?aie/i? oiiae oaieiiai?io o?e c
na?aaeiaeuai /a?ac iie?eooy c a?aooaaiiyi aei?ii?ithaaiiy;

– ?ic?iaeaii /enaeueii-aiae?oe/io iaoiaeeeo aeine?aeaeaiiy ?
?ic?aooieo oaiia?aoo?ieo iie?a oa caeeoeiaiai iai?oaeaiiai noaio
ieineeo ? oeee?iae?e/ieo o?e i?e iaieeaii? iaeii- oa aeainoi?iiiueiai
iie?eooy;

– ae?iaeaii ?aeiiaiaeaoe?? c aeai?o oa?i?/ieo oiia iaieeaiiy,
ni?aa?aeiioaiue aaiiao?e/ieo, oaieio?ce/ieo oa o?ceei-iaoai?/ieo
ia?aiao??a nenoaie o?ei-iie?eooy c iaoith ea?oaaiiy caeeoeiaeie
iai?oaeaiiyie oa ?ioeie aenieoaoaoe?eieie aeanoeainoyie iie?eoue, ye?
nooo?ai caeaaeaoue a?ae ??aiy caeeoeiaeo iai?oaeaiue.

A??ia?aei?noue iniiaieo iieiaeaiue ? io?eiaieo ?acoeueoao?a
caaacia/o?oueny o?ce/iith iaa?oioiaai?noth iinoaiiaie iae?i?eieo
caaea/ oaieii?ia?aeiino? oa oa?iii?oaeiino? c o?aooaaiiyi oaieiiai?io
aei?ii?ithaaiiyi, no?ia?noth iaoaiaoe/ieo iaoiae?a ?o ?ica’ycaiiy,
ocaiaeaeai?noth ie?aieo /anoeiaeo aeiaaee?a c a?aeiieie a
e?oa?aoo?? oai?aoe/ieie ?acoeueoaoaie, ia?aa??eith iiaoaeiaaiiai
eiiieaeno i?eeeaaeieo i?ia?ai ia oanoiaeo caaea/ao, io?eiaiiyi
o?ce/ii ianoia?a/eeaeo ?acoeueoao?a.

– 3 –

I?aeoe/ia cia/ei?noue. ?acoeueoaoe aeine?aeaeaiue iathoue ye
oai?aoe/ia, oae ? i?aeoe/ia cia/aiiy. Aiie iiaeooue aooe
aeei?enoai? a iaoeiiaoaeoaaii?, i?eeaaeiaoaeoaaii?, o?i?/i?e
i?iieneiaino? oa ?i., aea canoiniaothoueny aenieioaiia?aoo?i? iie?eooy
aeey i?aeaeuaiiy aenieoaoaoe?eieo oa?aeoa?enoee aeaoaeae, ?ic?iaeythoue
? aaeineiiaeththoue oaoiieia?? ?o iaianaiiy. ?ic?iaeaia ocaaaeueiaia
iaoaiaoe/ia iiaeaeue i?noeoue ieceo ia?aiao??a nenoaie ? iiaoaeiaaia ia
?? aac? /enaeueii-aiae?oe/ia iaoiaeeea aeicaiey? a eiiieaen?
a?aoiaoaaoe aieea aecia/aeueieo oaieiaeo oa iaoai?/ieo oaeoi??a
ia oa?aeoa?ieo oaoiieia?/ieo aoaiao aeaioiaeaiiy ae?iao c iie?eooy ?
ia i?aenoaa? ?acoeueoao?a ?ic?aooie?a iioei?coaaoe oaiia?aoo?i? ?aaeeie
? caeeoeiaee iai?oaeaiee noai nenoaie o?ei-iie?eooy, aeei?enoiaoaaoe
oae? ?acoeueoaoe i?e oai?aoe/iiio i?iaiicoaaii? ?o ?iai/iai ?ano?no.

Iniaenoee aianie caeiaoaa/a. ?acoeueoaoe aeine?aeaeaiue, iaaaaeai? a
aeena?oaoe??, io?eiai? aaoi?ii naiino?eii. Iaoeiaee ea??aiee a?aa
o/anoue o iiaoaeia? ocaaaeueiaii? iiaeae?, oi?ioethaaii? caaea/ oa
iaaiai?aii? iaea?aeaieo ?acoeueoao?a. A ni?eueieo ioae?eaoe?yo
ni?aaaoi?ai iaeaaeeoue: ?iaioe [1, 2] – aeo?aei? iiaeaeuei?
ni?aa?aeiioaiiy; [3, 4] – ?aeay ocaaaeueiaiiy aeo?aeii? iaoaiaoe/ii?
iiaeae? ia aanue oaoiieia?/iee eaioetha aeaioiaeaiiy ae?iao c
iie?eooyi; ?iaioe [5, 11] – ni?euei? ioae?eaoe??, a yeeo eiaeai ?c
ni?aanoi??a i?aaenoaaeya na?e iai?yiie aeine?aeaeaiue; a ?aoo? ni?eueieo
ioae?eaoe?e ni?aaaoi?e a?aee o/anoue a iaaiai?aii? io?eiaieo
?acoeueoao?a oa iiaeeeainoae ?o i?aeoe/iiai canoinoaaiiy.

Ai?iaaoe?y ?iaioe. Iniiai? ?acoeueoaoe aeiiia?aeaeenue ia ia?aae?
“Aeina?ae canoinoaaiiy eiiiiceoieo iaoa??ae?a a
n?euenueeiainiiaea?nueeiio iaoeiiaoaeoaaii?” (*a?i?a?a, 1985 ?.), o?ao?e
i?aeaaeocaa?e iaoeiai-i?aeoe/i?e eiioa?aioe?? “Caoeno noaeai a?ae
ei?ic?? oa ia?inoaiiy” (Eae?i?ia?aae, 1986 ?.), VII-e E?aniiaea?nuee?e
e?aeia?e eiioa?aioe?? “No/ani? i?iaeaie i?e?iaeiciaanoaa. I?eeeaaei?
ieoaiiy oaieiianiiai?io” (E?aniiaea?, 1986 ?.), III-e Ananithci?e
eiioa?aioe?? “Iaoai?ea iaiaeii??aeieo no?oeoo?” (Euea?a, 1991 ?.),
i?aeia?iaei?e eiioa?aioe?? “Oai??y iaaeeaeaiue oa caaea/?
ia/enethaaeueii? iaoaiaoeee” (Aei?i?iiao?ianuee, 1993 ?.) ,
i?aeia?iaei?e eiioa?aioe??-aenoaaoe? “Ei?ic?y-94” (Euea?a,
1994 ?.), ae?oaiio i?aeia?iaeiiio neiiic?oi? oe?a?inueeeo
?iaeaia??a-iaoai?e?a (Euea?a, 1995 ?.), i?aeia?iaeiiio oaoiieia?/iiio
oi?oi? ESSENTIA-96 (I?aaa, 1996 ?.), XXXI-e iieuenuee?e eiioa?aioe?? c
iaoai?ee aeaoi?i?aiiai oaa?aeiai o?ea Sol.Mec. (I??e?,
Ieueooei, 1996 ?.), 5-e ?a?iiaenuee?e eiioa?aioe?? c iiaeo i?ioean?a,
iaoa??ae?a oa ?o canoinoaaiiy EUROMAT 97 (Iaano??oo, I?aea?eaiaee, 1997
?.).

Iiai?noth aeena?oaoe?eia ?iaioa aeiiia?aeaeanue ? iaaiai?thaaeanue ia
nai?ia?? a?aeae?eo iaoai?ee aeaoi?i?aiiai oaa?aeiai o?ea oeueiai ae
?inoeoooo (Euea?a, 1998 ?.) oa niaoe?ae?ciaaiiio eaae?o?eaoe?eiiio
nai?ia?? “Iaoai?ea aeaoi?i?aiiai oaa?aeiai o?ea” ?inoeoooo i?eeeaaeieo
i?iaeai iaoai?ee ? iaoaiaoeee ?i.ss.N.I?aeno?eaa/a IAI Oe?a?ie
(Euea?a, 1998 ?.).

Ioae?eaoe??. Ca iaoa??aeaie aeena?oaoe?eii? ?iaioe iioae?eiaaii
13 iaoeiaeo i?aoeue.

– 4 –

No?oeoo?a ? ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny c anooio,
o?ueio ?icae?e?a iniiaiiai iaoa??aeo, aeniiae?a oa nieneo aeei?enoaieo
aeaea?ae ?c 80 iaeiaioaaiue. Caaaeueiee ianya ?iaioe 165 noi??iie, a
oiio /ene? 49 ?enoie?a.

INIIAIEE CIINO ?IAIOE

O anooi? iaa?oioiao?oueny aeooaeuei?noue aeaii? i?iaeaie,
noi?ioeueiaaia iaoa ?iaioe, iaaaaeaii iniiai? ?acoeueoaoe, io?eiai? a
?iaio?, oa iniiai? iieiaeaiiy , ui aeiinyoueny ia caoeno.

O ia?oiio ?icae?e? ia iniia? iioae?eiaaieo c aeine?aeaeoaaii?
i?iaeaie ?ia?o i?iaiae?ciaaii iniaeeaino? oa caeiiii??iino?
oi?ioaaiiy iie?eoue aenieioaiia?aoo?iei iaieeaiiyi, no/aniee noai
i?iaeaie. C a?aooaaiiyi oeueiai, a cai?iiiiiaai?e ocaaaeueiai?e iiaeae?
aanue oaoiieia?/iee i?ioean iaianaiiy iie?eooy ?icae?eaii ca /anii ia
o?e ?ioa?aaee: iiia?aaei? iaa??aaiiy iiaa?oi? iniiae, iaianaiiy
iie?eooy, ianooiia oa?iiia?iaea. Ca aecia/aeuei? aea?aii oae? oaeoi?e:
oaieiaa aei?ii?ithaaiiy c??co niiea ieaciio?iio c o?aooaaiiyi /anoeiaiai
iiaeeiaiiy aia?a?? ?iai/ei na?aaeiaeuai ? iiaa?oiath ae?iao;
aei?ii?ithaaiiy (iiaeeiaiiy) ia’?iii ieaciioa??iiai aaco; aeania
aei?ii?ithaaiiy iiaa?oi? ae?iao; aei?ii?ithaaiiy (iiaeeiaiiy) ioi/oth/ei
na?aaeiaeuai; eiiaaeoeaia iaa??aaiiy iiaa?oi? nenoaie
i?aeeeaaeea-iie?eooy iioieii ieaciioa??iiai aaco; ianooiia
?aae?aoe?eii-eiiaaeoeaia ioieiaeaeaiiy iniiae c iie?eooyi (i?ney
aeeeth/aiiy ieaciio?iio).

O a?aeiieo c e?oa?aoo?ewmetafile8? ???????????????
???????????yyy????.????1????????????? @???&?
?MathType??????:????u?th?????? Cai?iiiiiaaia a ia?oiio
?icae?e? aeena?oaoe?? iae?i?eia iaoaiaoe/ia iiaeaeue aeicaiey? a?eueo
iiaii iienaoe i?ioeane i?e aenieioaiia?aoo?iiio iaianaii? iie?eoue,
?icoe?eoe aeine?aeaeaiiy oa?iiiaoai?/ieo ?aaeei?a oaoiieia?/iiai
eaioethaa aeaioiaeaiiy ae?iao c iie?eooyi, ?ic?aoiaoaaoe oa
aiae?coaaoe caeeoeiaee iai?oaeaii-aeaoi?iiaaiee noai iniiae oa iie?eooy
ia eiaeiiio c aeae?eaieo aoai?a iaieeaiiy c a?aooaaiiyi
?aae?aoe?eii-eiiaaeoeaiiai oaieiiai?io. Oea aeicaieeei aeae?aoe
?aoe?iiaeuei? ni?aa?aeiioaiiy ia?aiao??a nenoaie oa oaiia?aoo?ieo
?aaeei?a iaieeaiiy aeey caaacia/aiiy iaiao?aeiiai ??aiy caeeoeiaeo
iai?oaeaiue oa yeino? iie?eoue.

I?e ?icaeoo? i?ioeano iaieeaiiy iie?eooy a /an? ia o?e ?ioa?aaee,
ii/aoie a?aee?eo wmetafile8? ???????????????
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wmetafile8? ???????????????
???????????yyy????.????1????????????? @???&?
?MathType??????:????u?th??????

– 5 –

Caaa?oaiith i?ioeano iaieeaiiy a?aeiia?aea? iiiaio
/anowmetafile8? ??E????????????
???????????yyy????.????1????????????? @???&?
?MathType??P????? [email protected]?????? I?e iiaoaeia? iaoaiaoe/ii?
iiaeae? oaieiaiai ?aaeeio iaieeaiiy aaaaea?ii, ui iaoa??ae iie?eooy –
i?oio?iiiee, oaieio?ce/i? oa o?ceei-iaoai?/i? aeanoeaino? eiai a?aei?ii?
a?ae oaeeo aeanoeainoae iaoa??aeo iniiae. I?e oeueiio iaieethaaia
nooe?eueia iie?eooy oiaueiith wmetafile8? ??AE????????????
???????????yyy????.????1????????????? `???&?
[email protected]?????? I?e ye?ni?e iiia?aaei?e ia?iaoe?
iiaa?oi? iniiae iiaeia aaaaeaoe, ui ia a?aieoe? eiioaeoo i?aeeeaaeee c
iie?eooyi ia? ia? i?noea ?aeaaeueiee oaieiaee eiioaeo

wmetafile8? ?? ???????????
???????????yyy????.????1????????????? ???&?
[email protected]??????aea wmetafile8?
??a???????????? ???????????yyy????.????1??????
??????? `???&[email protected]??????

wmetafile8? ??s???????????
???????????yyy????.????1???????????????.???&?
?MathType????
???u?????????”????-?????,!???,¦??? [email protected]??????wm
etafile8? ??s???????????
???????????yyy????.????1??????????????a-???&?
?MathType????
???u?????????”????-?????,???,[??? [email protected]??????wm
etafile8? ??u???????????
???????????yyy????.????1??????????????a”???&?
?MathType????
???u?????????”????-?????,???,[??? [email protected]??????
Ooo aaaaeaii oae? iicia/aiiy:

wmetafile8? ??TH????????????
???????????yyy????.????1?????????????  ???&?
[email protected]??????wmetafile8? ??y????????????
???????????yyy????.????1????????????? `???&?
[email protected]??????wmetafile8? ??›????????????
???????????yyy????.????1????????????? ????&?
[email protected]??????wmetafile8? ??&???????????
???????????yyy????.????1????????????? ???&?
[email protected]??????

– 6 –

wmetafile8? ??y????????????
???????????yyy????.????1????????????? A???&?
[email protected]??????wmetafile8? ??›????????????
???????????yyy????.????1?????????????  ???&?
[email protected]??????wmetafile8? ??c????????????
???????????yyy????.????1????????????? A???&?
[email protected]??????wmetafile8? ?? ???????????
???????????yyy????.????1????????????? A???&?
[email protected]??????wmetafile8? ??y????????????
???????????yyy????.????1????????????? `???&?
[email protected]??????wmetafile8? ??c????????????
???????????yyy????.????1????????????? ???&?
[email protected]?????? Ii/aoeiaee ?iciiae?e oaiia?aoo?e wmetafile8? ??c???????????? ???????????yyy????.????1?????????????  ???&? [email protected]?????? I?e iiaoaeia? ocaaaeueiaii? a?aie/ii? oiiae oaieiiai?io o?e /a?ac oiie? iie?eooy aeey ?ioa?aae?a /ano iaieeaiiy wmetafile8? ??*???????????? ???????????yyy????.????1????????????? A???&? ?MathType??P????? [email protected]?????? wmetafile8? ??n??????????? [email protected] ???&? ?MathType?? ???u?????????"????-?????¬???¬???¬O???¬%??? [email protected]??????i?e caaeiaieaii? a?aie/ieo oiia (1) oa (3). Ooo wmetafile8? ??¬??????????? ???????????yyy????.????1??????????????a???&? ?MathType??p???? [email protected]??????wmetafile8? ??t??????????? ???????????yyy????.????1????????????? `???&? ?MathType??A? ???u?????????"????-?????,a???,???? [email protected]??????wme tafile8? ??®???????????? [email protected]???&? [email protected]????`[email protected]??????wmetafile8? ????????????? [email protected]???&? ?MathType??p???? [email protected]??????wmetafile8? ??p???????????? [email protected]`???&? ?MathType?? [email protected]?????? Iia?aoi?iei iaoiaeii ?ica'ycie ??aiyiiy oaieii?ia?aeiino? io?eiaii a ianooiiiio aeaeyae?: wmetafile8? ??N??????????? ???????????yyy????.????1????????????? A)???&? ?MathType??p ???u?????????"????-?????L“???L0 ???u??????????"????-????ue???????????-????O-?I???Oe AeI???a-AeI???O•&?5&???O•&Aey&???a•&Ae5&???A [email protected]?????? wmetafile8? ??O??????????? ???????????yyy????.????1?????????????a ???&? ?MathType??? ???u??????????"????-?????ue???????????-????orO???o/ ae????rae???oUOz???oUae3/4????Uaez??? a [email protected]?????? - 7 - aea wmetafile8? ??$??????????? ???????????yyy????.????1??????????????a???&? ?MathType??p???? [email protected]?????? wmetafile8? ??®???????????? [email protected]???&? [email protected]????`[email protected]?????? wmetafile8? ??e??????????? [email protected] ???&? ?MathType??P ???u?????????"????-?????,???,o???,???,???,R ???,*??? [email protected]?????? wmetafile8? ??e??????????? [email protected]@ ???&? ?MathType??P ???u?????????"????-?????,>???,???,???,U???,a
ea wmetafile8? ?????????????
???????????yyy????.????1?????????????`a???&?
?MathType??p ???u?????????”????-?????,???
[email protected]??????

I?aenoaaeyth/e a ae?ac (3) cai?noue wmetafile8? ??c????????????
???????????yyy????.????1????????????? `???&?
[email protected]?????? Ca aeiiiiiaith iaeeie/ieo
ooieoe?e Oaa?naeaea nenoaio ocaaaeueiaieo iae?i?eieo a?aie/ieo oiia
aeey o?ueio aeae?eaieo ?ioa?aae?a /ano i?aaenoaaeii iaeiei
ni?aa?aeiioaiiyi ianooiiei /eiii:

wmetafile8? ??t???????????
???????????yyy????.????1?????????????` ,???&?
?MathType??`?
???u??????????”????-?????ue???????????-????6Cae???6?
”?ae???>?C”?ae???6P????6P”?4???>?P”??
???6p???6-”????>?p”????6Ae???6A”?©?
??>?A”?e??? [email protected]??????aea wmetafile8?
??—??????????? ???????????yyy????.????1??????
????????a1???&??MathType????
???u?????????”????-?????,wmetafile8? ??™???????????
???????????yyy????.????1????????????? A5???&?
?MathType??
???u?????????”????-??????????I????e????n????
[email protected]?????? wmetafile8? ??!???????????
???????????yyy????.????1????????????? ????&?
?MathType??? ???u?????????”????-?????¬±???¬????¬,
???¬®??? [email protected]??????wmetafile8? ??t???????????
???????????yyy????.????1????????????? a4???&?
?MathType??
???u?????????”????-??????????I????e????n????
[email protected]??????

– 8 –

O ae?ac? (7) aaaaeaii ianooii? iicia/aiiy:

wmetafile8? ?????????????
???????????yyy????.????1????????????? `???&?
[email protected]??????

wmetafile8? ??n???????????
[email protected]` ???&?
?MathType??`???? [email protected]??????wmetafile8? ??«???????????
[email protected]` ???&?
?MathType??`[email protected]??????wmetafile8? ??!???????????
[email protected]???&?
[email protected]??????wmetafile8? ??t???????????
???????????yyy????.????1??????????????A???&?
?MathType??? ???u?????????”????-?????*???
[email protected]?????? A oeueiio ae ?icae?e? iaaaaeaii nenoaio
ocaaaeueiaieo a?aie/ieo oiia iaoai?/ii? aca?iiae?? iniiae /a?ac oiiea
iie?eooy oa io?eiaii ni?aa?aeiioaiiy aeey ?ic?aooieo ona?aaeiaieo
oa?aeoa?enoee oaiia?aoo?e a iie?eoo?.

O ae?oaiio ?icae?e? aeine?aeaeaii oa?iii?oaeiee noai nenoaie o?ei –
iie?eooy c ieineeie iiaa?oiyie i?e aenieioaiia?aoo?iiio iaieeaii?.
?icaeyaea?oueny i?ioean aenieioaiia?aoo?iiai aeainoi?iiiueiai iaieeaiiy
iie?eoue ??cii? oiaueie (wmetafile8? ??AE????????????
???????????yyy????.????1????????????? `???&?
[email protected]???????iciiae?e oaiia?aoo?e ii oiauei?
iniiae iieno?oueny ?ica’yceii ??aiyiiy oaieii?ia?aeiino?

wmetafile8? ??????????????
???????????yyy????.????1?????????????aA ???&?
?MathType??a?
???u?????????”????-?????¬i???¬%???¬???¬† ???
[email protected]??????

– 9 –

yeee caaeia?eueiy? ii/aoeia?e oiia?

wmetafile8? ??w???????????
???????????yyy????.????1????????????? ????&?
[email protected]??????oa ocaaaeueiai?e a?aie/i?e oiia?
(8).

Ooo wmetafile8? ??I???????????
???????????yyy????.????1??????????????a???&?
?MathType??? ???u?????????”????-?????????
®[email protected]?????? wmetafile8? ?????????????
???????????yyy????.????1??????????????????&?
?MathType??p???? [email protected]??????A ?icaeyaeoaaiiio aeiaaeeo
a?aie/i? oiiae (7) iaoeiooue ianooiiee aeaeyae:

wmetafile8? ?????????????
???????????yyy????.????1???????????????/???&?
?MathType??p?
???u??????????”????-?????ue???????????-????¶g????¶$
c????3/4?gc????¶t????¶tc?X???3/4?tc????¶
??!???¶=c?!???3/4??c?!???¶O!?u!???¶O!c??!???3/
4?O!c?u!??? [email protected]?????? wmetafile8? ??/???????????
???????????yyy????.????1?????????????? 0???&?
?MathType??p?
???u??????????”????-?????ue???????????-????¶[email protected]???¶c?
@???3/[email protected]???¶¬?L???¶¬c? Ioaea, iath/e
noi?ioeueiaaio iae?i?eio e?aeiao caaea/o oaieii?ia?aeiino? (9)-(11)
iiaeia i?iaanoe ?ic?aooiie ?iciiae?eo oaiia?aoo?e ii oiauei? iniiae
(aeeth/ath/e oaiia?aoo?o a cii? eiioaeoo oa?o c iie?eooyi) aeey
aeia?eueiiai iiiaioo /ano: a?ae ii/aoeo iaa??aaiiy iiaa?oi?
iniiae iioieii ieaciioa??iiai aaco aei iiiaioo caaa?oaiiy iaianaiiy
iie?eooy ? iiaiiai inoeaaiiy aioiaiai ae?iao. Oaea iinoaiiaea caaea/?
aea? ciiao a caeaaeiino? a?ae eiie?aoieo aeiia, ui noaaeyoueny aei
oi?ioaaiiy iaoai?/ii? nenoaie oa? – aeainoi?iii? iie?eooy, oeyoii
i?aeai?o a?aeiia?aeieo aaiiao?e/ieo , oaieio?ce/ieo oa iecee ?ioeo
aecia/aeueieo oaeoi??a ua aei i?aeoe/ii? ?aae?caoe?? io?eiaieo
?acoeueoao?a iioei?coaaoe oaiia?aoo?i? ?aaeeie iaianaiiy.

?iciiae?e oaiia?aoo?e ii oiauei? oa?o iaoiiaeth? a iueiio
oaieia? iai?oaeaiiy, ye? aecia/athoueny ca a?aeiieie ni?aa?aeiioaiiyie

wmetafile8? ??I???????????
???????????yyy????.????1??????????????????&?
?MathType??? ???u?????????”????-?????L???
/[email protected]??????wmetafile8? ??V???????????
???????????yyy????.????1?????????????`????&?
[email protected]??????aea wmetafile8?
??c???????????? ???????????yyy????.????1??????
??????? ???&[email protected]?????? Iaa?aeii?
eiinoaioe wmetafile8? ??p????????????
[email protected]`???&?
?MathType?? [email protected]?????? wmetafile8? ??i???????????
???????????yyy????.????1?????????????` ???&?
[email protected]??????

– 10 –

Ca?aeii c aea?aiith iiaeaeeth iieno oaieiaeo i?ioean?a i?e
aenieioaiia?aoo?iiio iaieeaii? iai?oaeaiiy a iie?eoo? aeieeathoue i?ney
iiiaioo e?enoae?caoe?? iie?eoue a /an wmetafile8? ??oe????????????
???????????yyy????.????1?????????????` ???&?
?MathType??p????? [email protected]?????? A ?ioa?aae? /ano wmetafile8?
??oe???????????? ???????????yyy????.????1??????
???????` ???&??MathType??p????? [email protected]??????
wmetafile8? ??V???????????
???????????yyy????.????1?????????????`????&?
[email protected]?????? wmetafile8? ??‡??????????? ???????????yyy????.????1?????????????`????&? [email protected]?????? Coneeey wmetafile8? ??c???????????? ???????????yyy????.????1?????? ??????? ????&[email protected]?????? wmetafile8? ??A??????????? ???????????yyy????.????1????????????? a???&? ?MathType??? ???u?????????"????-?????,O???,Ue ???u??????????"????-????ue???????????-????A?¦[email protected] –?$??????–?$???A±¦Q???A±–?•?????±–?Q??? ? [email protected]?????? wmetafile8? ??A??????????? ???????????yyy????.????1????????????? @???&? ?MathType??? ???u?????????"????-?????,???,„ ???u??????????"????-????ue???????????-????A+ ¦I???Ae–?I?????+ –?I???A¦!???A–?a?????–?!??? [email protected]?????? aea wmetafile8? ????????????? ???????????yyy????.????1??????????????????&? ?MathType??p???? [email protected]??????wmetafile8? ??/??????????? [email protected]`???&? [email protected]??????wmetafile8? ??k??????????? ???????????yyy????.????1??????????????????&? ?MathType??p???? [email protected]?????? Cia/aiiy wmetafile8? ??k??????????? ???????????yyy????.????1?????? ????????????&??MathType??p???? [email protected]?????? wmetafile8? ??q??????????? ???????????yyy????.????1?????????????AA???&? ?MathType??`[email protected]?????? wmetafile8? ??I?e oeueiio wmetafile8? ??O??????????? ???????????yyy????.????1?????????????? ???&? ?MathType??p???? [email protected]?????? - 11 - wmetafile8? ??¤??????????? ???????????yyy????.????1?????????????   ???&? ?MathType?? ???u?????????"????-??????O????Ue????a????y [email protected]??????wmetafile8? ?????????????? ???????????yyy????.????1?????????????` $???&? ?MathType??a? ???u?????????"????-?????,V???,O???,0???,????  [email protected]?????? aea wmetafile8? ??k??????????? ???????????yyy????.????1?????????????a?"???&? ?MathType??? ???u?????????"????-?????lo???lA???l???lae??? [email protected]?????? wmetafile8? ?????????????? ???????????yyy????.????1?????????????a`"???&? ?MathType??? ???u?????????"????-?????lo???lA???l???lae??? [email protected]?????? Io?eiai? a oeueiio ?icae?e? ni?aa?aeiioaiiy iiaeaii a iaea?eueo caaaeueiiio aeaeyae?. Iieeaaeath/e a ieo iaaiei /eiii cia/aiiy aaiiao?e/ieo, oaieio?ce/ieo oa o?ceei-iaoai?/ieo oa?aeoa?enoee nenoaie, iiaeia io?eiaoe ni?aa?aeiioaiiy aeey aeine?aeaeaiiy ? ?ic?aooieo caeeoeiaiai oa?iiiai?oaeaiiai noaio i?aeoe/ii aaaeeeaeo /anoeiaeo aeiaaee?a. A ?iaio? aeey ?ica'ycaiiy ianoaoe?iia?ii? iaeiii??ii? caaea/? oa?iii?oaeaino? c iae?i?eieie a?aie/ieie oiiaaie (11) ?ic?iaeaia /enaeueii-aiae?oe/ia iaoiaeeea ?ic?aooieo oa?iii?oaeiiai noaio nenoaie oa? - aeainoi?iii? iie?eooy, ui aaco?oueny ia iniia? ?ic?iaeaii? iaoaiaoe/ii? iiaeae? oa c aeei?enoaiiyi iayaii? noaie e?ioeaai-??cieoeaaiai iaoiaeo. A aeena?oaoe?? ca aeaieie c e?oa?aoo?e i?iaiae?ciaaii niiniae aeai?o ia?aiao??a iiae?aieo caaea/. C iaoith aeine?aeaeaiiy aieeao ci?ie ?aaeei?a iaianaiiy iie?eoue ia caeeoeiaee oa?iiiai?oaeaiee noai nenoaie iniiaa-iie?eooy ?icaeyiooi i?ioean iaieeaiiy ia ieineo iniiao ?c noae? 20 aeainoi?iiiueiai caoeniiai i?o?iiiaiai iie?eooy iaeiaeiai? oiaueie wmetafile8? ????????????? ???????????yyy????.????1?????? ??????? @???&[email protected]?????? Aiae?c io?eiaieo /eneiaeo ?acoeueoao?a, cie?aia, iieacaa, ui i?e iaaieo ni?aa?aeiioaiiyo oiauei iniiae oa iie?eoue a inoaii?o iiaeooue aeieeaoe ye noeneath/?, oae ? ?icoyaoth/? caeeoeia? coneeey, I?e iaianaii? iie?eooy ia iniiao 0,01i coneeey a iie?eoo? ? noeneath/eie, ui ? aaaeaiei oaeoii i?e aeaioiaeaii? ae?ia?a c ieaciiiaieeaieie iie?eooyie, a i?e iaianaii? iie?eooy o??? ae oiaueie ia iniiao 0,05i - iaaacia/ieie (a caeaaeiino? a?ae eiie?aoieo oiia aenieoaoaoe??) ?icoyaoth/eie. I?e/iio oe? ?icoyaoth/? caeeoeia? coneeey aeinyaathoue naiai iaeneioio ua ia aoai? iaiiaiiai inoeaaiiy i?aeeeaaeee c iie?eooyi, ui iiaea i?ecaanoe aei eiai ?ico??neoaaiiy. Aeey aecia/aiiy aieeao ci?ie oiaueie naiiai iie?eooy ia caeeoeia? coneeey aoei i?iaaaeaii aenia?eiaio, a yeiio oiaueia iie?eooy ca?eueooaaeanue a 10 oa 20 ?ac ii??aiyii c ii/aoeiaith. O aeiaaeeo ca?eueoaiiy oiaueie iie?eooy ia iniia? oiaueiith 0,01i niinoa??aaeinue cia/ia c?inoaiiy noeneath/eo coneeue a iie?eoo?. I?e ca?eueoaii? oiaueie iie?eooy, ui iaiineeinue ia iniiao oiaueiith 0,05i - c?inoaiiy ?icoyaoth/eo coneeue, i?e/iio c?inoaiiy ? aeinyaiaiiy aeno?aiaeueiiai cia/aiiy oaeeie coneeeyie a?aeaoaaeenue aeineoue oaeaeei (10-15n), ui iiaea ni?e/eieoe ?oeioaaiiy iie?eooy ia ?aii?e noaae?? ioieiaeaeaiiy. Ne?ae oieeaoe oaeiae ? cia/iiai c?inoaiiy noeneath/eo caeeoeiaeo coneeue, ine?eueee oea iiaea i?ecaanoe aei a?aeoa?oaaiiy iie?eooy. - 12 - Ioaea, i?aeae?ath/e iaaiei /eiii ni?aa?aeiioaiiy oa?aeoa?ieo ?ici???a iie?eooy, iniiae oa /an ?? iiia?aaeiueiai i?ae?a??ao, iiaeia aeinyaoe a?aeiia?aeiiai ??aiy (ca ciaeii oa aaniethoiith aaee/eiith) caeeoeiaeo coneeue a iie?eoo?. Oaiia?aoo?i? ?aaeeie iaianaiiy iie?eooy o an?o aeiaaeeao i?aeae?aeenue oaeei /eiii, uia a cii? eiioaeoo aeinyaaeanue oaiia?aoo?a, ia ieae/a ca oaiia?aoo?o ieaaeaiiy (e?enoae?caoe??) iaoa??aeo iie?eooy, ui caaacia/o? iaae?eia c/aieaiiy iie?eooy c iniiaith. O o?aoueiio ?icae?e? aeine?aeaeaii caeeoeiaee oaiiiai?oaeaiee noai oeee?iae?e/ieo o?e i?e aenieioaiia?aoo?iiio iaianaii? ia ?o ciai?oith iiaa?oith caoenieo iie?eoue. O ia?oiio ia?aa?ao? noi?ioeueiaaii iae?i?eio e?aeiao caaea/o oaieii?ia?aeiino? aeey aeiaaiai ii?iaeienoiai e?oaiaiai oeee?iae?a c iaeiinoi?iii?i ciai?oi?i iie?eooyi, Oaieio?ce/i?, o?ceei-iaoai?/i? oa ?aae?aoe?ei? oa?aeoa?enoeee iaoa??ae?a iniiae ? iie?eooy a?aei?ii? i?ae niaith. sse ? a iiia?aaeiueiio ?icae?e?, i?eionea?oueny, ui i?ae iniiaith ? iie?eooyi oaieiaee ? iaoai?/iee eiioaeo ? ?aeaaeueiei. A ia?oiio ?ioa?aae? /ano wmetafile8? ??e???????????? ???????????yyy????.????1?????? ??????? a???&[email protected]???????iciiae?e oaiia?aoo?e acaeiaae ?aae?ona oeee?iae?a wmetafile8? ??oe???????????? ???????????yyy????.????1?????? ??????? A???&[email protected]?????? wmetafile8? ??o??????????? ???????????yyy????.????1?????????????aa???&? ?MathType??? ???u?????????"????-?????l???l¬???l????l1/2??? l5???l ???l???lA???—[email protected]??????yeee caaeia?eueiy? ii/aoeiao oiiao wmetafile8? ??i??????????? ???????????yyy????.????1????????????? ????&? [email protected]??????oa ocaaaeueiai? a?aie/i? oiiae oeio (8) i?e wmetafile8? ??O???????????? ???????????yyy????.????1????????????? `???&? [email protected]?????? wmetafile8? ??c??????????? ???????????yyy????.????1?????????????a????&? ?MathType???? ???u?????????"????-????? - 13 - Ooo aaaaeaii oae? iicia/aiiy: wmetafile8? ??P??????????? ???????????yyy????.????1?????????????`a???&? ?MathType??? ???u?????????"????-?????i????i®???`[email protected]??????wm etafile8? ??4??????????? ???????????yyy????.????1????????????? a???&? [email protected]??????Aeey ia?oiai ?ioa?aaeo /ano a aeiaaiio e?oaiaiio ii?iaeienoiio oeee?iae?? i?e ieineiio inaneiao?e/iiio oaiia?aoo?iiio iie? wmetafile8? ????????????? ???????????yyy????.????1????????????? ????&? [email protected]?????? wmetafile8? ??+??????????? ???????????yyy????.????1?????????????`a???&? ?MathType??p ???u?????????"????-?????I???E ???? ???/[email protected]?????? wmetafile8? ??C??????????? ???????????yyy????.????1?????????????``#???&? ?MathType??p ???u?????????"????-?????TH???U ??? [email protected]??????Ooo wmetafile8? ??!??????????? ???????????yyy????.????1?????? ??????? ????&? [email protected]??????wmetafile8? ??h??????????? ???????????yyy????.????1????????????? ????&? [email protected] ???u?????????"????-?????,®???,I???©[email protected]??????wm etafile8? ?????????????? ???????????yyy????.????1?????????????? ???&? ?MathType??p???? [email protected]??????wmetafile8? ????????????? ???????????yyy????.????1????????????? A???&? [email protected]?????? Cia/aiiy eiinoaio wmetafile8? ??a???????????? ???????????yyy????.????1?????? ??????? ????&[email protected]?????? wmetafile8? ??-??????????? ???????????yyy????.????1??????????????`???&? ?MathType??p???? [email protected]?????? sseui oi?oeaa? iiaa?oi? oeee?iae?a ? a?eueieie a?ae ciai?oi?o iaaaioaaeaiue, eiiiiiaioa aaeoi?a ia?ai?uaiue wmetafile8? ??c???????????? ???????????yyy????.????1?????????????  ???&? [email protected]?????? wmetafile8? ?? ??????????? ???????????yyy????.????1????????????? ????&[email protected]??????? ia caeaaeeoue a?ae ?aae?ona wmetafile8? ??c???????????? ???????????yyy????.????1??????????????`???&? [email protected][email protected]?????? Oiae? ?c caeiio Aoea aeey eiiiiiaioe oaici?a iai?oaeaiue wmetafile8? ??TH???????????? ???????????yyy????.????1??????????????A???&? ?MathType??p???? [email protected]?????? - 14 - wmetafile8? ????????????? ???????????yyy????.????1????????????? ???&? ?MathType???? ???u?????????"????-?????1/2??? ±[email protected]??????a cia/aiiy eiinoaioe wmetafile8? ??c???????????? ???????????yyy????.????1?????? ??????? a???&[email protected]?????? wmetafile8? ?? Ioaea, iath/e cia/aiiy an?o eiinoaio, io?eia?ii ae?ace aeey aecia/aiiy a?aei?iieo a?ae ioey eiiiiiaio oaici?a iai?oaeaiue wmetafile8? ??Ae??????????? ???????????yyy????.????1?????????????? ???&? ?MathType??p???? [email protected]??????aecia/aiiy iai?oaeaiue, aeaoi?iaoe?e oa ia?ai?uaiue io?eia?ii c (21)-(24), iieeaaeath/e a ieo wmetafile8? ?? ??????????? ???????????yyy????.????1????????????? a???&? [email protected]?????? Aiaeia?/ia neooaoe?y ia? i?noea ? a ?ioa?aae? /ano wmetafile8? ??!??????????? ???????????yyy????.????1?????????????` ???&? ?MathType??p????? [email protected]?????? A o?aoueiio ?ioa?aae? /ano aiane?aeie e?enoae?caoe?? ia iiaa?oi? iniiae iie?eooy ? a neeo inueiai? neiao??? a iueiio aeieeathoue eeoa ii/aoeia? coneeey wmetafile8? ??c???????????? ???????????yyy????.????1?????? ??????? ????&[email protected]?????? wmetafile8? ?? ??????????? ???????????yyy????.????1????????????? ?a???&[email protected] ???u?????????"????-??????O????o????n????O???? [email protected]?????? wmetafile8? ?? ??????????? ???????????yyy????.????1????????????? ?????&[email protected] ???u?????????"????-?????? ????+????)[email protected]??????aea wmetafile8? ??TH???????????? ???????????yyy????.????1?????? ??????? A???&? [email protected]??????wmetafile8? ?????????????? ???????????yyy????.????1??????????????????&? ?MathType??p???? [email protected]??????wmetafile8? ????????????? ???????????yyy????.????1??????????????a???&? [email protected]?????? Iaa?aeii? eiinoaioe, ui i?noyoueny a (26), o ae?acao aeey aecia/aiiy eiiiiiaio oaici?a iai?oaeaiue (21) ? (24) ciaeaeaii c ianooiieo a?aie/ieo oiia: wmetafile8? ??o??????????? ???????????yyy????.????1????????????? A ???&? ?MathType??? ???u?????????"????-?????,D???,” ??? [email protected]?????? Oaeei /eiii, io?eiaii oi?ioee aeey aecia/aiiy caeeoeiaiai oa?iiiai?oaeaiiai noaio aenieioaiia?aoo?iiai iie?eooy o aeiaaeeo a?eueieo oa cauaieaieo oi?oeaaeo iiaa?oiiue oeee?iae?a. - 15 - Aeey oai?aoe/ii? ioe?iee ni?aa?aeiioaiiy ia?aiao??a nenoaie oa ?aaeeio iaieeaiiy ia caeeoeia? coneeey a iie?eoo? aoei cae?eniaii ieceo /eneiaeo aenia?eiaio?a aeey iaai?o ni?aa?aeiioaiue aaiiao?e/ieo ?ici???a iniiae oa iie?eooy, o?eaaeinoae iiia?aaeiueiai iaa??aaiiy iiaa?oi? iniiae iioieii ieaciioa??iiai aaco, ii/aoeiaeo oaiia?aoo? iniiae, ni?aa?aeiioaiue iiaeoe?a i?oaeiino? oa eiao?oe??io?a e?i?eiiai oaiia?aoo?iiai ?icoe?aiiy iaoa??ae?a iniiae oa iie?eooy i?e a?eueieo oa cauaieaieo a?ae inueiaiai ia?ai?uaiiy oi?oeaaeo iiaa?oiyo. sse iieacaee aeine?aeaeaiiy, a caeaaeiino? a?ae eiie?aoieo oa?i?/ieo oiia iaieeaiiy ? iaaieo ni?aa?aeiioaiue aecia/aeueieo ia?aiao??a a iie?eoo? aeieeathoue ?icoyaoth/? ? noeneath/? caeeoeia? coneeey, a ?o e?eoe/i? cia/aiiy aeinyaathoueny ia ii/aoeia?e aai e?ioeaa?e noaae?? ioieiaeaeaiiy aioiaiai ae?iao c iie?eooyi, ui iiaea aooe i?e/eiith ?oeioaaiiy iie?eoue (ye ?ico??neoaaiiy, oae ? a?aeoa?oaaiiy). Aiae?c io?eiaieo ?acoeueoao?a aeicaiey? ua ia noaae?? i?iaeooaaiiy ?aaeei?a iaieeaiiy iie?eoue i?ae?a?aoe ?aoe?iiaeuei? ?aaeeie iaianaiiy, oai?aoe/ii i?iaiicoaaoe ?o i?oei?noue oa aeiaaia?/i?noue. O aeniiaeao ei?ioei noi?ioeueiaaii iniiai? ?acoeueoaoe ?iaioe. INIIAI? ?ACOEUeOAOE ?IAIOE OA EI?IOE? AENIIAEE 1. A ?iaio? iiaoaeiaaii ocaaaeueiaio iaoaiaoe/io iiaeaeue oa?iiiaoai?/ieo i?ioean?a i?e aenieioaiia?aoo?iiio iaieeaii? iie?eoue c o?aooaaiiyi aia?a?? aei?ii?ithaaiiy, oaieiaiai aieeao iioieo ieaciioa??iiai aaco, ?aae?aoe?eii-eiiaaeoeaiiai oaieiiai?io nenoaie iniiaa - iie?eooy c iaaeieeoi?i na?aaeiaeuai, niinia?a cae??ieaiiy c?acea aeey aeai?o ?aoe?iiaeueieo ?aaeei?a iaianaiiy iie?eoue. 2. Iia?aoi?iei iaoiaeii io?eiaii ocaaaeueiai? iae?i?ei? a?aie/i? oiiae ?aae?aoe?eii-eiiaaeoeaiiai oaieiiai?io o?e c iie?eooyie oa iaaaaeaii nenoaio ocaaaeueiaieo a?aie/ieo oiia oa?iiiaoai?/ii? aca?iiae?? i?aeeeaaeee /a?ac oiie? iie?eooy ia oa?aeoa?ieo aeae?eaieo ?ioa?aaeao ca /anii. 3. Ia iniia? iiaoaeiaaieo aeo?aeieo ni?aa?aeiioaiue noi?ioeueiaaii a?aeiia?aei? iae?i?ei? e?aeia? caaea/? oa?iii?oaeiino?, ?ic?iaeaii /enaeueii-aiae?oe/io iaoiaeeeo ?ic?aooieo oaiia?aoo?ieo ?aaeei?a ? caeeoeiaiai oa?iiiai?oaeaiiai noaio nenoaie i?aeeeaaeea-iie?eooy aeey ieineeo oa oeee?iae?e/ieo c?ace?a i?e iaeii- oa aeainoi?iiiueiio iaieeaii? ia ?o iiaa?oi? caoenieo iie?eoue. 4. I?iaiae?ciaaii aieea eiaeiiai c aeae?eaieo aecia/aeueieo oaeoi??a (iiia?aaeiueiai i?ae?a??ao iniiae, iaa??aaiiy iniiae iioieii ieaciioa??iiai aaco, ci?ie oiaueie iie?eooy oa iniiae, ni?aa?aeiioaiiy eiao?oe??io?a oaiia?aoo?iiai ?icoe?aiiy, iaoai?/ieo oa?aeoa?enoee iaoa??ae?a i?aeeeaaeee ? iie?eooy, aieeao ?aae?aoe?eii? neeaaeiai? oaieiaiai iioieo) ia caeeoeiaee oa?iiiai?oaeaiee noai iaoai?/ii? nenoaie o?ei-iie?eooy. - 16 - Aiae?c io?eiaieo ?acoeueoao?a ?ic?aooie?a iieacaa, ui a caeaaeiino? a?ae ni?aa?aeiioaiiy aaiiao?e/ieo ?ici???a iniiae oa iie?eooy a inoaiiueiio ia iaaieo aoaiao ioieiaeaeaiiy nenoaie iiaeooue aeieeaoe ye noeneath/?, oae ? ?icoyaoth/? caeeoeia? coneeey, aeinyaaoe iaeneioio ua ia ii/aoeia?e noaae?? ioieiaeaeaiiy ? ni?e/eiyoe ?oeioaaiiy iie?eooy. Ia i?aenoaa? aiae?co caeeoeiaiai oaiia?aoo?iiai noaio ii?iaeienoiai oeee?iae?a c iaeiinoi?iaa?i ciai?oi?i iie?eooyi aeyaeaii, ui cauaieaiiy a?ae inueiaiai ia?ai?uaiiy oeee?iae?a i?ecaiaeeoue aei aeieeiaiiy a iie?eoo? (i?ney oieiaeaeaiiy) aeayeeo e?eoe/ieo ?icoyaoth/eo caeeoeiaeo coneeue, ye? iiaeooue iaoiiaeoe ?ico??neoaaiiy iie?eooy. Iaaacia/iei iiaea aeyaeoenue c?inoaiiy aei iaaieo aeno?aiaeueieo (iaeneiaeueieo) ?icoyaoth/eo cia/aiue caeeoeiaeo coneeue ia ii/aoeiaiio aoai? ioieiaeaeaiiy iie?eooy. Iiaeaeue aeicaiey? c iaoith ea?oaaiiy aaee/eiith caeeoeiaeo coneeue aeae?aoe ?aoe?iiaeuei? ?aaeeie iaianaiiy iie?eoue. wmetafile8? ??T????????????? ???????????yyy????.????1????????????? `@???&??yyyy?????Ayyy·yyy????????&? ?MathType??`????&??yyyy??????????wmetafile8? ??T????????????? ???????????yyy????.????1????????????? `@???&??yyyy?????Ayyy·yyy????????&? ?MathType??`????&??yyyy?????????? ?IAIOE, A ssEEO IIOAEIEIAAII INIIAII IIEIAEAIIss AeENA?OAOe?? 1. Aaa?enue A.I., Eaauoe Ae.A., Oaa/oe I.?. Oaiia?aoo?iua ?aaeeiu a nenoaia iiaeeiaeea-iie?uoea i?e aunieioaiia?aoo?iii iaiueaiee // Eiaeaia?ii-oece/aneee aeo?iae. - 1988. - ?6. - N.1033. ?oe. aeai. a AEIEOE 25.01.1988, ?aa. ?664-A88. 2. Aaa?enue A.I., Eaauoe Ae.A., Oaa/oe I.?. Ii?aaeaeaiea inoaoi/iuo iai?yaeaiee a nenoaia neie-iie?uoea i?e aeaonoi?iiiai aunieioaiia?aoo?iii iaiueaiee // Iao. iaoiaeu e oec.-iao. iiey. - 1989. - Aui. 29. - N.8-12. 3. Oaa/oe I.?., Aaa?enue A.I. Aeeyiea eo/enoiai iaa?aaa ia oaiia?aoo?iua ?aaeeiu e inoaoi/iua iai?yaeaiey i?e aunieioaiia?aoo?iii iaiueaiee // Iao. iaoiaeu e oec.-iao. iiey. - Aui. 30. - N.69-73. 4. Aaa?enue A.I., Oaa/oe I.?. Iaoaiaoe/aneia iiaeaee?iaaiea i?ioeannia i?e aunieioaiia?aoo?iii iaiueaiee iie?uoee // Iao. iaoiaeu e oec.-iao. iiey. - 1991. - Aui. 33. - N. 13-18. 5. Oaa/oe I.?., Nai/eia A.E., Aaa?enue A.I. Iaoiaeu ?an/aoa ?aoeeiiaeueiuo ?aaeeiia iaianaiey ieaciaiiuo e aeeoooceiiiuo iie?uoee // Iiuo i?eiaiaiey eiiiiceoiuo iaoa?eaeia a naeueneioicyenoaaiiii iaoeiino?iaiee: Oacenu aeieeaaeia niaauaiey / a. *a?ieaia, ethiue 1985 a./ - *a?ieaia, Aineiinaeueoicoaoieea ONN?, 1985. - N.136. 6. Aaa?enue A.I. Oaieiaua ?aaeeiu e inoaoi/iua iai?yaeaiey i?e aeaonoi?iiiai ieaciaiiii iaiueaiee iie?uoee n o/aoii aeeyiey oaiia?aoo?u ieaciaiiie no?oe // Caueoa noaeia io ei??icee e ia?anoaiey: Oacenu aeieeaaeia 3-e iaaeio?aneaaie iao/ii-oaoie/aneie eiioa?aioeee / a.Eaeeieia?aae, naioya?ue 1985/ - Eaeeieia?aae, OeIEE ON III "?eoi", 1985, - N. 115-116. - 17 - 7. Aaa?enue A.I. Oaieiiaiai i?e aunieioaiia?aoo?iii iaiueaiee iie?uoee. // Nia?aiaiiua aii?inu anoanoaiciaiey. I?eeeaaeiua aii?inu oaieiianniiaiaia: Oacenu aeieeaaeia 7-e E?aniiaea?neie e?aaaie eiioa?aioeee / a. E?aniiaea?, naioya?ue 1986a./ - E?aniiaea?, E?aniiaea?neee iieeoaoie/aneee einoeooo, 1986. - N.40-43. 8. Aaa?enue A.I., Eaauoe Ae.A. Oa?iiiai?yaeaiiia ninoiyiea neiy n aeaonoi?iiiei ieaciaiiui iie?uoeai // Iaoaieea iaiaeii?iaeiuo no?oeoo?: Oacenu aeieeaaeia 3-e ananithciie eiioa?aioeee. / a. Eueaia, ethiue 1991 a./ - Eueaia, Ei-o i?eee. i?iaeai iaoaieee e iaoaiaoeee AI ONN?, 1991. - N.63. 9. Oaa/oe I.?., Aaa?enue I.I. *enaeueii-aiae?oe/ia aeine?aeaeaiiy oa?iii?oaeiiai noaio o?e i?e aenieioaiia?aoo?iiio iaieeaii? c a?aooaaiiyi oaieiiai?io aei?ii?iaiiyi // Oai??y iaaeeaeaiiy ? caaea/? ia/enethaaeueii? iaoaiaoeee: Oace aeiiia?aeae i?aeia?iaeii? eiioa?aioe?? / i.Aei?i?iiao?ianuee, o?aaaiue, 1993 ?./ - Aei?i?iiao?ianuee, Aei?i?iiao?ianueeee aea?aeaaiee oi?aa?neoao, 1993. - N. 213. 10. Oaa/oe I.?., Aaa?enue I.I. Iaoaiaoe/ia iiaeaethaaiiy oa /enaeueii-aiae?oe/ia aeine?aeaeaiiy oa?iiiai?oaeaiiai noaio oeee?iae?e/ieo o?e c iie?eooyie i?e aenieioaiia?aoo?iiio iaieeaii? c a?aooaaiiyi oaieiiai?io aei?ii?iaiiyi // I?iaeaie ei?ic?? oa i?ioeei?ic?eiiai caoenoo eiino?oeoe?eieo iaoa??ae?a. Ei?ic?y-94: Iaoa??aee i?aeia?iaeii? eiioa?aioe??-aenoaaee / i.Euea?a, aeiaoaiue 1994 ?./ - Euea?a, O?ceei-iaoi?/iee ?inoeooo IAI Oe?a?ie, 1994. - N. 240. 11. Oaa/oe I.?., Aaa?enue I.I., Oaa/oe A.A. Iaoaiaoe/ia iiaeaethaaiiy oa ?ic?aooiie ?aoe?iiaeueieo ?aaeei?a iaianaiiy, i?iaiicoaaiiy i?oeiino? oa aeiaaia?/iino? iie?eoue a aa?aneaieo na?aaeiaeuao // 2-e i?aeia?iaeiee neiiic?oi oe?a?inueeeo ?iaeaia??a-iaoai?e?a IN?IE-2: Oace aeiiia?aeae / i.Euea?a, ea?oaiue 1995/ - Euea?a, Aea?aeaaiee oi?aa?neoao "Euea?anueea iie?oaoi?ea", 1985. - N. 123. 12. Gavrys' Olexander, Shevchuk Pavlo. Calculation and Study of the Residual Stress State of Bodies with High Temperature Sprayed Coatings // XXXI Polish Solid Mechanics Conference Sol'Mec: Book of Abstracts - Mierki n. Olsztynek, 1996. - P.103-104. 13. Shevchuk P., Gavrys' O. Mathematical Modelling and Methods of Calculation Elements Surface Strengthening by Plasma Sprayings // 5th European Conference on Advanced Materials, Processes and Applications EUROMAT-97: Proceedings of the Conference. - Maastricht, 1997. - Vol. 3. - P.253-256. - 18 - AIIOAOe?ss. Aaa?enue I.I. Aecia/aiiy oa?iiiai?oaeaiiai noaio iie?eoue i?e aenieioaiia?aoo?iiio iaieeaii?. - ?oeiien. Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.02.04 - iaoai?ea aeaoi?i?aiiai oaa?aeiai o?ea.- ?inoeooo i?eeeaaeieo i?iaeai iaoai?ee ? iaoaiaoeee ?i.ss.N.I?aeno?eaa/a IAI Oe?a?ie, Euea?a, 1998. A ?iaio? iiaoaeiaaii iaoaiaoe/io iiaeaeue oa?iiiaoai?/ieo i?ioean?a i?e aenieioaiia?aoo?iiio iaianaii? iie?eoue c o?aooaaiiyi aia?a?? aei?ii?ithaaiiy, oaieiaiai iioieo ieaciioa??iiai aaco, ?aae?aoe?eii-eiiaaeoeaiiai oaieiiai?io nenoaie iniiaa - iie?eooy c ?iai/ei na?aaeiaeuai, ??ciiiai?oieo niinia?a cae??ieaiiy c?acea. Io?eiaii ocaaaeueiai? iae?i?ei? a?aie/i? oiiae ?aae?aoe?eii-eiiaaeoeaiiai oaieiiai?io o?e c iie?eooyi oa nenoaio ocaaaeueiaieo a?aie/ieo oiia oa?iiiaoai?/ii? aca?iiae?? iniiae /a?ac oiie? iie?eooy. ?ic?iaeaii /enaeueii-aiae?oe/io iaoiaeeeo ?ica'ycoaaiiy a?aeiia?aeieo iae?i?eieo e?aeiaeo caaea/ oa?iii?oaeiino?. Aeyaeaii ?yae oa?aeoa?ieo iniaeeainoae oi?ioaaiiy oa iiaaae?iee caeeoeiaeo iai?oaeaiue o iie?eooyo. Noi?ioeueiaaii a?aeiia?aei? ?aeiiaiaeaoe?? aeey ea?oaaiiy oaeeie caeeoeiaeie iai?oaeaiiyie c iaoith ?aoe?iiae?caoe?? oaiia?aoo?ieo ?aaeei?a iaianaiiy iie?eoue. Eeth/ia? neiaa: iaoaiaoe/ia iiaeaeue, aenieioaiia?aoo?ia iaieeaiiy, ?aae?aoe?eii-eiiaaeoeaiee oaieiiai?i, caoeni? iie?eooy, oaiia?aoo?ia iiea, caeeoeia? iai?oaeaiiy. AIIIOAOeEss. Aaa?enue A.I. Ii?aaeaeaiea oa?iiiai?yaeaiiiai ninoiyiey iie?uoee i?e aunieioaiia?aoo?iii iaiueaiee.- ?oeiienue. Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oeceei-iaoaiaoe- /aneeo iaoe ii niaoeeaeueiinoe 01.02.04 - iaoaieea aeaoi?ie?oaiiai oaa?aeiai oaea.- Einoeooo i?eeeaaeiuo i?iaeai iaoaieee e iaoaiaoeee ei.ss.N.Iiaeno?eaa/a IAI Oe?aeiu, Eueaia, 1998. A ?aaioa iino?iaii iaoaiaoe/aneoth iiaeaeue oa?iiiaoaie/aneeo i?ioeannia i?e aunieioaiia?aoo?iii iaianaiee iie?uoee n o/aoii yia?aee eceo/aiey, oaieiaiai iioiea ieaciiia?acothuaai aaca, ?aaeeaoeeiiii-eiiaaeoeaiiai oaieiiaiaia nenoaiu iniiaa - iie?uoea n ?aai/ae n?aaeie, ?acee/iuo niiniaia cae?aieaiey ia?acoea. Iieo/aii iaiauaiiua iaeeiaeiua a?aie/iua oneiaey ?aaeeaoeeiiii-eiiaaeoeaiiai oaieiiaiaia oae n iie?uoeyie e nenoaio iaiauaiiuo a?aie/iuo oneiaee oa?iiiaoaie/aneiai acaeiiaeaenoaey iniiau /a?ac oiieea iie?uoey. ?ac?aaioaii /eneaiii-aiaeeoe/aneoth iaoiaeeeo ?aoaiey niioaaonoaothueo iaeeiaeiuo e?aaauo caaea/ oa?iioi?oainoe. Auyaeaii ?yae oa?aeoa?iuo iniaaiiinoae oi?ie?iaaiey e iiaaaeaiey inoaoi/iuo iai?yaeaiee a iie?uoeyo. Noi?ioee?iaaii niioaaonoaothuea ?aeiiaiaeaoeee aeey oi?aaeaiey oaeeie inoaoi/iuie iai?yaeaieyie n oeaeueth ?aoeeiiaeecaoeee oaiia?aoo?iuo ?aaeeiia iaianaiey iie?uoee. Eeth/aaua neiaa: iaoaiaoe/aneay iiaeaeue, aunieioaiia?aoo?iia iaiueaiea, ?aaeeaoeeiiii-eiiaaeoeaiue oaieiiaiai, caueoiua iie?uoey, oaiia?aoo?iia iiea, inoaoi/iua iai?yaeaiey. - 19 - ABSTRACT. Gavrys' O.P. The Determination of Thermal-Stress State of Coatings During High-Temperature Spraying.- Manuscript. Thesis presented for a candidate's degree in physics and mathematics by speciality 01.02.04 - Mechanics of Deformable Bodies.-Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, Lviv, 1998. The mathematical model of thermomechanical processes during high-temperature spraying of coatings, while taking into account: radiation energy; heat flow plasma forming gas; radiative-convectional heat exchange of the system: base - coating with working media; different methods of sample fixing, is constructed. The generalized nonlinear boundary conditions of radiative-convectional of heat exchange of bodies with coatings and system of generalized boundary conditions of thermomechanical interaction of base through thin coatings are obtained. Numeric-analytical method of solving of corresponding nonlinear boundary problems of thermoelasticity is developed. The number of characteristic peculiarities of forming and behaviour of residual stresses in coatings has been discovered. Corresponding recommendations for control of such residual stresses for rationalization of temperature regimes of coating spraying have been formulated. Key words: mathematical model, high-temperature spraying, radiative-convectional heat exchange, protective coatings, temperature field, residual stresses. Caeiaoaa/ I.I.Aaa?enue

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