2

IAeANUeEA AeA?AEAAIA AEAAeAI?ss

AOAe?AIEOeOAA OA A?O?OAEOO?E

AOAA?AA NAIOEAIA AIEOI?IAIA

OAeE 627. 33 . 34 : 624. 131 : 539. 52

IAA?OIOOAAIIss IAOIAeEEE ?IC?AOOIEO OIIEINO?IIEO

EIINO?OEOe?E, ACA?IIAe?TH*EO C A?OIOIAEI NA?AAeIAEUAI C O?AOOAAIIssI
I?OAEIIIEANOE*IEO AEANOEAINOAE ?O IAOA??AE?A

Niaoeiaeueiinoue 05. 23. 01 – Aoae?aaeuei? eiino?oeoe??, aoae?ae? oa
nii?oaee

A a o i ? a o a ? a o

aeena?oaoei? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoii/ieo iaoe

IAeANA – 1999

Aeena?oaoei?th ? ?oeiien.

?iaioa aeeiiaia a Iaeanueeie aea?aeaaiie aeaaeaii? aoaeiaieoeoaa oa
a?oioaeoo?e (IAeAAA), Iiiinoa?noaa inaioe Oe?a?ie

Iaoeiaee ea?iaiee: – aeieoi? oaoii/ieo iaoe, i?ioani?

A??OEI Aieiaeeie? Ieaenaiae?iae/,

caaiaeoaa/ eaoaae?ith “Iii? iaoa?iaeia oa aoaeiaaeueia iaoaiiea”,

(Iaeanuee?e aea?aeaaiee ii?nueeee oi?aa?neoao)

Ioioeieii iiiiaioe: – aeieoi? oaoi?/ieo iaoe, i?ioani?

OAAAI?I A’y/aneaa Na?a?eiae/,

i?i?aeoi? c iaoeiai? ?iaioe,

(Ieeiea?anueeee n?eueneiainiiaea?/ee ?inoeooo)

 eaiaeeaeao oaoi?/ieo iaoe, aeioeaio

AA?AIIANUeEEE A?eoi? Eineiiae/,

aeioeaio eaoaae?e ae?iaieee, i?oeiino? iaoei ? iii?o iaoa??ae?a

(Iaeanueeee aea?aeaaiee iie?oaoi?/iee oi?aa?neoao)

I?ia?aeia onoaiiaa: – Iaoeiai – aeine?aeiee ?inoeooo aoae?aaeueieo
eiino?oeoe?e

Aea?aeaaiiai Eii?oaoo Oe?a?ie o ni?aaao aoae?aieoeoaa, a?o?oaeoo?e ?

aeeoeiai? iie?oeee, a?aeae?e a?ae?ioaoi?/iiai oa niaoe?aeueiiai

aoae?aieoeoaa, i. Ee?a

Caoeno aiaeaoaeaoueny “ 25 ” ea?oiy 2000 ?. i 1100 aiaeeii ia
caniaeaiii Niaoeiaeiciaaii? a/aii? ?aaee Ae 41.085.01 Iaeanueei?
aea?aeaaii? aeaaeaii? aoaeiaieoeoaa oa a?oioaeoo?e ca aae?anith: 65029,
i. Iaeana, aoe. Ae?ae??oniia,4, IAeAAA, aoae. 210 .

C aeena?oaoei?th iiaeia iciaeiieoenue a aiaeiioaoei aeaaeaii?

ca aae?anith: 65029, i. Iaeana, aoe. Ae?ae??oniia, 4, IAeAAA.

Aaoi?aoa?ao ?icineaiee “ 23 ” aa?aciy 2000 ?.

A/aiee nae?aoa?

niaoeiaeiciaaii? a/aii? ?aaee

e.o.i., aeioe.
Iaea?iaa N.N.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeueiinoue aeineiaeaeaiue. Oiieino?ii? i?aei??i? nii?oaee oe?iei
?iciianthaeaeai? a a?ae?ioaoi?/iiio, o?ainii?oiiio, i?iieneiaiio oa
oeea?eueiiio aoae?aieoeoa?. Aiie iaae?ei? a aenieoaoaoe??, aeiiii?/i?,
iaei/ooeea? aei iiaeeeaeo ia?aaaioaaeaiue.

Ae?th/? ii?iaoeai? aeieoiaioe ?aeiiaiaeothoue aeeiioaaoe ?ic?aooiie
nii?oae, ui aca?iiae?thoue c a?oioii, ?icae?eueii. Nii/aoeo
aacaeaoi?iaoe?eieie iaoiaeaie a?aie/ii? ??aiiaaae ioe?ith?oueny
a?aie/iee iai?oaeaiee noai a?oioiaiai ianeao, a iio?i ?ic?aoiao?oueny
eiino?oeoe?y ia oene a?oioo, ui aca?iiae?? c iath. I?e oeueiio ?iaioa
eiino?oeoe?? ?icaeyaea?oueny a i?oaei?e noaae?? aac o?aooaaiiy iiaeeeaeo
ieanoe/ieo aeaoi?iaoe?e. Oaeee i?aeo?ae ia? aeaa nooo?aeo iaaeie?ee.
Ioe?iea o?eueee a?aie/iiai noaio a?oioiaiai ianeao aacaeaoi?iaoe?eieie
iaoiaeaie ia aea? iiaeeeaino? aecia/eoe iai?oaeaii–aeaoi?iiaaiee noai
nii?oaee a aeia?aie/i?e (aenieoaoaoe?ei?e) noaae?? ?iaioe. Oiio
oaeoe/iee caian ?? i?oeiino? caeeoa?oueny iaa?aeiiei. ?ic?aooiie
eiino?oeoe?? o i?oaei?e noaae?? ?? ?iaioe ? aeineoue a?oaei
iaaeeaeaiiyi.

Ianoaaeaiiy eiino?oeoe?e oiieino?iieo i?aei??ieo no?iie iieaco?, ui ia
noaae?? ?o aenieoaoaoe?? a cae?ciaaoiiieo ? iaoaeaaeo aeaiaioao
aeieeathoue nooo?a? ieanoe/i? aeaoi?iaoe??.

Oiio cai?iiiiiaaia a aeena?oaoe?? iaoiaeeea ni?eueiiai ?ic?aooieo
oiieino?iieo i?aei??ieo nii?oae ? a?oioiaiai ianeao c o?aooaaiiyi
i?oaeiiieanoe/ieo aeaoi?iaoe?e iaoa??ae?a ? aaaeeeaith e aeooaeueiith
caaea/ath.

Ca?ycie ?iaioe c iaoeiaeie oaiaie. Iai?aaeai?noue ?iaio iaoiiaeaia e
aaciina?aaeiuei iia’ycaia c eaoaae?aeueiith aea?aeathaeaeaoiith
iaoeiai–aeine?aeiith oaiith ?79078477 a?ae 05.12.1997?. “Aaeee e ieeoe
ia i?oaeiiieanoe/i?e iniia?”.

Iaoa ?iaioe iieyaa? a aenia?eiaioaeueiiio ? oai?aoe/iiio iaa?oiooaaii?
iaoiaeeee ni?eueiiai ?ic?aooieo eiino?oeoe?e oiieino?iieo i?aei??ieo
nii?oae ? a?oioo, yeee aca?iiae?? c ieie c o?aooaaiiyi i?oaeiiieanoe/ieo
aeanoeainoae iaoa??ae?a.

Caaea/? aeine?aeaeaiue.

Aeey aeinyaiaiiy iaoe iaiao?aeii aoei ?ica’ycaoe oae? caaea/?:

 aeaaaeaiiy iniiaieo ??aiyiue aeey ?ic?aooieo aio/eeo no?iie noi?nii c
eiioaeooth/ei a?oioii;

 ?ic?iaea aeai?eoio e i?ia?aie aeey /eneiaiai ?ica’ycaiiy iinoaaeaii?
caaea/? ia AII;

 ?ic?iaea aenia?eiaioaeueii? iiaeae? aio/ei? no?iee e iaoiaeeee
i?iaaaeaiiy aeine?ae?a c aea/aiiy ?? aca?iiae?? c a?oioii i?e ??cieo
iaaaioaaeaiiyo ia iiaa?oi? caneiee, ??ciiio caaeeaeaii? no?iee e
iiaeaoeeaino? aiea?ii? iii?e;

 i?iaaaeaiiy aenia?eiaioaeueieo aeine?aeaeaiue oa aiae?c io?eiaieo
?acoeueoao?a;

 ii??aiyiiy ?acoeueoao?a ?ic?aooieo c aenia?eiaioaeueieie aeaieie
aaoi?a e ?ioeo aeine?aeiee?a.

Iaoeiaa iiaecia.

 ia iniia? oai??? ieanoe/ii? oa/?? c? ci?oeiaiiyi, aaciaaii? ia
i?eioeei? iaeneioio I?cana, iiaoaeiaaia iaoaiaoe/ia iiaeaeue noi?nii?
?iaioe aio/ei? i?aei??ii? no?iee ? a?oioiaiai ianeao, yea a?aoiao? ye
i?oaei?, oae ? ieanoe/i? aeaoi?iaoe??;

 ?ic?iaeaii ?oa?aoe?eiee aeai?eoi ? i?ia?aio aeey ?aae?caoe?? iiai?
iaoaiaoe/ii? iiaeae? a ?ic?aooieao aio/eeo no?iie, ui aca?iiae?thoue c
a?oioiaei na?aaeiaeuai;

 cai?iiiiiaaii iaoiaeeeo ioe?iee oi/iino? e oaeaeeino? noiaeaeaiiy
?oa?aoe?eiiai i?ioeano, canoiniaaiiai a ?ic?iaeaiiio aeai?eoi?;

 ia iniia? noaiaeiaeo aei?iaoaaiue ia iiaeae? oiieino?iieo i?aei??ieo
nii?oae anoaiiaeai? caeiiii??iino? aca?iiae?? aio/ei? i?aei??ii? no?iee
c a?oioiaei na?aaeiaeuai a caeaaeiino? a?ae aei?noeino? no?iee,
iiaeaoeeaino? aiea?ieo iii?, iaaaioaaeaiiy oa ?ioeo /eiiee?a.

I?aeoe/ia oeiiiinoue ?iaioe.

Cai?iiiiiaaia iaoiaeeea noi?niiai i?oaeiiieanoe/iiai ?ic?aooieo
oiieino?iieo i?aei??ieo nii?oae, yea aeicaiey? ioe?ieoe
iai?oaeaii-aeaoi?iiaaiee noai eiino?oeoe?? oa a?oioo, yeee aca?iiae?? c
iath a aenieoaoaoe?eiee ia??iae.

?ic?iaeaia iaoiaeeea iiaea aooe iaoeiaith aacith aeey ai?iaaaeaeaiiy a
i?aeoeeo oaoi?/ii? aenieoaoaoe?? ii?o?a c iaoith iaa?oioiaaiiai
i?eeiyooy ??oaiue c aeai?o ?aoe?iiaeueiiai ?aaeeio aenieoaoaoe??, ui
caaacia/eoue i?aeaeuaiiy i?iioneii? caeaoiino? i?e/ae?a i?e caa?aaeaii?
iaiao?aeiiai caiano ?o iaae?eiino?.

Iniaenoi caeiaoaa/ai iaea?aeaii oae? ?acoeueoaoe:

Iaoiaeeeo canoinoaaiiy oai??? ieanoe/ii? oa/?? a ?ic?aooieao
oiieino?iieo i?aei??ieo nii?oae, ye? aca?iiae?thoue c a?oioii, c
o?aooaaiiyi i?oaeieo oa ieanoe/ieo aeanoeainoae iaoa??ae?a.

?ic?iaeaii aeai?eoie e i?ia?aie /eneiaiai ?ic?aooieo i?aei??ieo
eiino?oeoe?e ia AII.

Cai?iaeoiaaii e aeaioiaeaii eaai?aoi?io iiaeaeue aio/ei? i?aei??ii?
no?iee, ?ic?iaeaii iaoiaeeeo aeine?ae?a, i?iaaaeaii aenia?eiaioaeuei?
aeine?aeaeaiiy aca?iiae?? a?oioo c aio/eith no?ieith i?e ??cieo
iaaaioaaeaiiyo ia iiaa?oi? caneiee, caaeeaeaii? no?iee e ci?uaii?
aiea?ii? iii?e. Aeeiiaii ia?iaeo ?acoeueoao?a aenia?eiaio?a, i?iaaaeaii
?o aiae?c ? c?noaaeaiiy c io?eiaiei o ?iaio? oai?aoe/iei ??oaiiyi
aaoi?a.

Ai?iaaoeiy ?iaioe.

?acoeueoaoe aeena?oaoe?eii? ?iaiou aeiiia?aeaeeny e iaaiai?thaaeeny ia
I?aeia?iaeiiio nai?ia?? “No?oeoo?iooai?aiiy, i?oei?noue ? ?oeioaaiiy
eiiiiceoe?eieo aoae?aaeueieo iaoa??ae?a ? eiino?oeoe?e” (Iaeana, 1994
?.), ia Ae?oaiio I?nueeiio nai?ia?? “Canoinoaaiiy ia/enethaaeueii?
oaoi?ee e iaoaiaoe/iiai iiaeaethaaiiy a i?eeeaaeieo iaoeiaeo
aeine?aeaeaiiyo”(Iaeana, 1995 ?.), ia Ae?oa?e Oe?a?inuee?e
iaoeiai-oaoi?/i?e eiioa?aioe?? c iaoai?ee a?oio?a ?
ooiaeaiaioiaoaeoaaiiy (Iieoaaa, 1995 ?.), ia O?ao?e Oe?a?inuee?e
iaoeiai-oaoi?/i?e eiioa?aioe?? c iaoai?ee a?oio?a ?
ooiaeaiaioiaoaeoaaiiy (Iaeana, 1997 ?.), ia iaoeiaeo eiioa?aioe?yo
i?ioani?nueei-aeeeaaeaoeueeiai neeaaeo Iaeanueei? aea?aeaaii? aeaaeai??
aoae?aieoeoaa e a?o?oaeoo?e a 1994, 1995, 1996, 1997 ??. oa Iaeanueeiai
aea?aeaaiiai ii?nueeiai oi?aa?neoaoo a 1995, 1996, 1997, 1998 ??.
Iniiai? ?acoeueoaoe ?iaioe iioae?eiaaii a 6 iaoeiaeo noaooyo i a
iaoa??aeao eiioa?aioe?e.

Aeena?oaoeiy neeaaea?oueny c anooio, iniiaiii /anoeie (/ioe?ueio
?icae?e?a), aeniiaeia, aeaio aeiaeaoe?a, a oaeiae nieneo aeei?enoaieo
eioa?aoo?ieo aeaea?ae. Caaaeueiee ianya ?iaioe noaiiaeoue 146 noi?iiie,
c yeeo 119 noi?iiie iniiaiiai oaenoo, 27 ?enoieia ia 27 noi??ieao, 11
oaaeeoeue ia 13 noi??ieao, nienie aeei?enoaieo aeaea?ae c 183
iaeiaioaaiue ia 17 noi??ieao.

CIINO ?IAIOE

O anooi? iaa?oioiaaia aeooaeuei?noue ?iaioe, aecia/aia ??
iai?aaeai?noue, iaoeiaa iiaecia e i?aeoe/ia cia/ei?noue, noi?ioeueiaaii
iaoo e caaea/? aeine?aeaeaiue.

A ia?oiio ?icae?e? c?iaeaii ei?ioeee iaeyae oai?aoe/ieo oa
aenia?eiaioaeueieo aeine?aeaeaiue ca oaiith aeena?oaoe??, aiae?c noaio
i?iaeaie e iaoiae?a ?ic?aooieo oiieino?iieo i?aei??ieo nii?oae,
aca?iiae?th/eo c a?oioii, noi?ioeueiaaia iinoaiiaea caaea/?.

Aaaiiee aianie o ?icaeoie i?iaeaie aca?iiae?? i?aei??ieo nii?oae c
eiioaeooth/ei a?oioii c?iaeee oae? a/ai?, ye O. Eoeii, E.Oa?oeaae,
A.A.Nieieianueeee, N.N.Aieooeaae/, I.A.I?iy?a, A.?.Aeooeia,
I.I.Aa?naaaiia, I.E.Ni?oei, A.E.Eeaei, A.A.Aeoa?iaa, O.I.Oeo??a,
I.?.sseiae?a, N.I.Eo?i/e?i, ?.I.Aieei, A.A.Eiaooi, I.I.Aeoa?ianueeee,
A.I.Ee?eeia oa ?io?.

A inoaii? ?iee cia/io ?ieue o ?icaeoeo oai??? ieanoe/iino? e
a’yceiieanoe/iino? c?a?aee i?aoe? A.A.Aai??aa, I.E.??oiaa, E.?.?ae?aa,
A.A.?ethoeia, E.I.Ea/aeiaa, A.O.Eieoa?a, A.A.Eaaaae?aa, A.A.Iiaiaeeeiaa,
A.I?aaa?a, TH.I.?aaioiiaa, E.E.N?aeiaa, A.A.Nieieianueeiai, A.O?eea,
TH.I.Oaa/aiei, I.A.Oeiee, A.E.Aoa?iaa, A.I.A?eoeia, A.A.Eiaooia oa
?ioeo.

Aeine?aeaeaiiy oeeo a/aieo aeicaieythoue a?eueo oe?iei aeei?enoiaoaaoe
i?oaeii-ieanoe/i? iiaeae? ??cieo iaoa??ae?a i?e ?ica’ycaii? caaea/
aca?iiae?? nii?oaee c eiioaeooth/ei a?oioii.

sse iieacaa ei?ioeee iaeyae e?oa?aoo?ieo aeaea?ae, a?eueoa /anoeia
?ia?o c i?iaeaie, ui ?icaeyaea?oueny, a?oiooaaeany ia i?oaeieo e?i?eieo
iiaeaeyo. ?iaioe c ?ic?aooieo oiieino?iieo i?aei??ieo nii?oae ia AII a
iae?i?ei?e iinoaiiaoe?, o a?eueoino? aeiaaee?a a?oiooaaeeny ia iiaeaeyo
aeaoi?iaoe?eii? oai??? ieanoe/iino?, ui ia aeicaieythoue a?aooaaoe
i?ioean neeaaeiiai iaaaioaaeaiiy. Cono??/athoueny oaeiae ?iaioe, a yeeo
iaoa??ae eiino?oeoe?e aaaaea?oueny i?oaeiei, a aeey a?oioiaiai
na?aaeiaeua aeei?enoiao?oueny iiaeaeue ieanoe/ii? oa/??. Iaia ?ia?o, o
yeeo ae iaeii/anii aeei?enoiaoaaeenue iae?i?ei? iiaeae? aeey
eiino?oeoe?? oa a?oioiaiai na?aaeiaeua.

Aeena?oaoe?y ia? ca iaoo ?ic?iaeoe iaoiaeeeo noi?niiai ?ic?aooieo
eiino?oeoe?e oiieino?iieo i?aei??ieo nii?oae oa aca?iiae?th/iai c ieie
a?oioo i?e neeaaeiiio iaaaioaaeaii?.

A iniiao i?iiiiiaaii? iaoiaeeee ?ic?aooieo iieeaaeaii oiiae
ieanoe/iino? A.A.Aai??aa noiniaii aaoiio e cae?ciaaoiio. Aeey a?aooaaiiy
e?iaiaoe/iiai ci?oeiaiiy iaoaeo aeei?enoaia oiiaa ieanoe/ii? oa/??
I?cana, aeey a?oioiaiai na?aaeiaeua – oiiaa Eoeiia–Ii?a.

O ae?oaiio ?icae?e? iaa?oioiaaia ? noi?ioeueiaaia iaoaiaoe/ia iiaeaeue
aca?iiae?? aio/ei? i?aei??ii? no?iee c eiioaeooth/ei a?oioii.

?ic?aooieiaa iaeanoue nenoaie “no?iea – a?oio” iiaeaeth?oueny
i?oaeiiieanoe/iei na?aaeiaeuai, aei yeiai iiaea aooe canoaniaaiee
anioe?eiaaiee caeii ieanoe/ii? oa/??, aaciaaiee ia i?eioeei? iaeneioia
I?cana.

Aeei?enoiaothoueny o?e a?oie ??aiyiue: noaoe/i?, aaiiao?e/i?, o?ce/i?.

I?eionea?oueny, ui aeaoi?iaoe?? na?aaeiaeua i?ioiaeyoue i?e iaeeo
a?aeaeiaaeaiiyo, cnoaao e eooao iiai?ioo.

A oeueiio aeiaaeeo neiao?e/iee oaici? aeaoi?iaoe?e ia? aeaeyae

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???????????yyy????.????1?????? ???????
` ???&??yyyy?????Ay»y` ???&?
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??aiyiiy a??ooaeueii? ?iaioe caieno?oueny o aeaeyae?

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???????????yyy????.????1?????? ???????
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???????????yyy????.????1?????? ???????
a`???&??yyyy?????Ay?y “ ???&? ?MathType??0???uHth ?????

aea V – ia’?i nenoaie;

S = S1US2 – iiaa?oiy nenoaie, i?e oeueiio ia S1 caaeaia noaoe/ia e?aeiaa
oiiaa

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``???&??yyyy?????Ay3/4y 

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a ia S2 – e?iaiaoe/ia e?aeiaa oiiaa

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A`???&??yyyy?????Ay©y i ???&?
?MathType??`????&??yyyy??????????????????????????????????????????
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???????????yyy????.????1?????? ??????? A 
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Ia i – io aoai? iaaaioaaeaiiy iaa’ycea a ??aiyii? aoaea a?aei?iia a?ae
ioey e aei??aithaaoeia

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Aeei?enoiao?oueny iinooeao neeaaeaiiy i?e?ino?a i?oaeieo oa ieanoe/ieo
aeaoi?iaoe?e

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I?e?inoe i?oaeieo aeaoi?iaoe?e aecia/athoueny ca caeiiii Aoea

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O ca’yceo c oei, ui nenoaia i?aeaeaia neeaaeiiio iaaaioaaeaiith, aeey
aecia/aiiy i?e?inoo ieanoe/ii? aeaoi?iaoe?? aeei?enoiao?oueny
anioe?eiaaiee caeii oa/??, ui aaco?oueny ia i?eioeei? iaeneioio I?cana.
C iueiai iiaeeco ?aaoey?ii? oi/ee aeieeaa? ni?aa?aeiioaiiy

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aea d = const > 0; f – ooieoe?y iaaaioaaeaiiy, ui aecia/a? iiaa?oith
iaaaioaaeaiiy ??aiyiiyi

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`???&??yyyy?????Ay?y O ???&? ?MathType???????uHth ?????

Ooo s – ia?aiao?e ci?oeiaiiy; ks – eiinoaioe iaoa??aeo.

Oaici? aeoeaieo iai?oa i?e e?iaiaoe/iiio ci?oeiaii? aecia/a?oueny ca
oi?ioeith

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O ?ie? ooieoe?? iaaaioaaeaiiy aeei?enoiaothoueny oiiae, cai?iiiiiaai?
A.A.Aai??aei aeey cae?ciaaoiio

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‘???&??yyyy?????Aycya&» ???&? ?MathType??`???uy????

aea a – iaaea oaeo/ino? a?iaoo?e; 1, 2, 3, – eiao?oe??ioe a?ioaaiiy,
a?aeiia?aeii, aiiaeiaae inae x1, x2, oa o3 ;

wmetafile8? ??N???????????
???????????yyy????.????1?????? ???????
`A(???&??yyyy?????Ay3/4y?(

 ???&? ?MathType??`????u@th??????wmetafile8? ??????????????
???????????yyy????.????1?????? ???????
 ?=???&??yyyy?????Ay?y@=Y ???&? ?MathType??°????uy????
lt, mt, nt, t = 1, 2, 3, – eineione iai?yie?a inae tt oa t.

sseui a ( 11 ) i?eeiyoe n = 0, 1 = 2 = 3 = 0, oi iaea?aeo?ii ianooiio
oiiao noiniaii aaoii?a:

3 (c – p) 0 + 3j2 – pc = 0, (
12 )

aea p, c – iaae? ieanoe/iino? i?e ?icoyc? e noeneoaaii?, ui
aecia/athoueny ca ae?aa?aiith iaeiiiniiai ?icoyao – noeneo.

Aeey a?oio?a canoiniaaia oiiaa Eoeiia-Ii?a

wmetafile8? ??o???????????
???????????yyy????.????1?????? ??????? `
#???&??yyyy?????Ayya» ???&?
?MathType?? ????u????????????-??????? ???’i ???u??
??????????-?????i ???0D ???-?????0L ???z?? ???z??
???z?F???uYue????

aea , n – eoo aioo??oiueiai oa?oy ? c/aieaiiy a?oioo o noai?, ui
a?aeiia?aea? iaaeai ieanoe/iino? p, c. I?ae , c ? p, c, ?nithoue oae?
caeaaeiino?:
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. ( 14 )

C oeeo oiia aeieeaathoue oiiae I?cana e O?anea-Nai-Aaiaia; aiie
aeei?enoiaothoueny aeey ??cieo iaoae?a ? nieaa?a.

I?eaaaeai? ??aiyiiy, io?eiai? c i?eioeeio a??ooaeueii? ?iaioe, iiaeooue
aooe ?ica’ycai? eeoa iaaeeaeaieie iaoiaeaie. ?o ?aae?caoe?y aeiiaa?
aeeiiaiiy oaeeo aoai?a:

– aeene?aoecaoe?y e?aeiai? caaea/? (aeeiio?oueny iaoiaeii ne?i/aiieo
aeaiaio?a);

– iiaoaeiaa ?oa?aoe?eiiai i?ioeano aeey aeinyaiaiiy caaeaii? oi/iino?
?icaycaiiy.

Ne?i/aii? aeaiaioe i?aaenoaaeyee niaith ieine? /ioe?eeooieee c
a?nueiiia aoceaie (o?noiaaeoeyoue nooiai?a naiaiaee).

Ooieoe?? oi?ie aeey oaeiai aeaiaioo a eieaeueieo eii?aeeiaoao iathoue
aeaeyae:

wmetafile8? ??’???????????
???????????yyy????.????1?????? ???????
`a%???&??yyyy?????Ay3/4y %

 ???&? ?MathType???????u—y ????N=1,3,5,7;

( 15 )

wmetafile8? ??¤???????????
???????????yyy????.????1?????? ???????
??/???&??yyyy?????Ay3/4yA.> ???&? ?MathType???????u—y ????
N=2,4,6,8.

Canoiniaoth/e cae/aeio i?ioeaaeo?o iaoiaeo ne?i/aiieo aeaiaio?a,
io?eia?ii oaeo nenoaio aeaaa?a?/ieo ??aiyiue:

wmetafile8? ?????????????
???????????yyy????.????1?????? ??????? `@
???&??yyyy?????Ay3/4y?

 ???&? ?MathType??`????u@th??????

aea E(u) – iao?eoey aei?noeino? nenoaie.

Iaa’ycea a ??aiyii? ia i-io aoai? i?e?inoo iaaaioaaeaiiy ia? aeaeyae:

wmetafile8? ??-???????????
???????????yyy????.????1?????? ???????
`????&??yyyy?????Ay3/4y@

 ???&? ?MathType??`????u@th??????

Aeey i?oaeiiieanoe/ieo o?e ?oa?aoe?eiee i?ioean ia? ?ica’ycoaaoe o?e
iniiai? caaea/?:

 aeeiioaaoe e?iaa?ecaoe?th aeo?aeieo ??aiyiue;

 io?eioaaoe ??oaiiy e?aeiai? caaea/?, ui ?icaeyaea?oueny, c caaeaiith
oi/i?noth;

 iiaa?oaoe aaeoi? iai?oa a iaeanoue, iaiaaeaio iiaa?oiath
iaaaioaaeaiiy, aeeth/ath/e ?? iaaeo, yeui aaeoi? a i?ioean? ??oaiiy
aeeoia ca iaae? aeacaii? iaeano?.

O caaaeuei?e oi?i? ??oaiiy ??aiyiiy ( 17 ) iiaeia i?aaenoaaeoe ye oaeee
?oa?aoe?eiee i?ioean

duj+1 = duj – wmetafile8? ??????????????
???????????yyy????.????1?????? ???????
 `???&??yyyy?????Ay?y Y ???&?
?MathType??°????uwue?????iaeaen j aeaco? iiia? ?oa?aoe??.

O oae?e iinoaiiaoe? ia eiaei?e ?oa?aoe?? ?ica’yco?oueny e?i?eia
caaea/a.

?oa?aoe?eiee i?ioean cae?i/o?oueny, yeui aeeiio?oueny ianooiia oiiaa:

wmetafile8? ??e???????????
???????????yyy????.????1?????? ???????
`a???&??yyyy?????Ay«y   ???&? ?MathType??
???u????????????-?????U?A????iA????U?„????i„????U
????i???U?I???iI???ue¤????¤????ueh????
h????ue$???$???uee???e???¬@????¬L???u@
th??????

aea 0 – caaeaia oi/i?noue ?icaycaiiy,

wmetafile8? ?????????????
???????????yyy????.????1?????? ??????? @?
???&??yyyy?????Ayµy@ o ???&?
?MathType??????u????????????-?????A„????Oe„????AH????
OeH????AI???OeI???A

Ooo I0 – e?euee?noue aeiaaeueieo aoce?a iaeano? o?ea; wmetafile8?
??¦???????????? ???????????yyy????.????1??????
??????? `@???&??yyyy?????AyYy? ???&?
?MathType??`????u`th??????Iaaaaeai? aeua ia?aaeoiiae ?aae?ciaaii o
aeaeyae? i?ia?aie, eio?a iaienaia ia iia? Oi?o?ai. I?ia?aia i?ecia/aia
aeey noi?niiai ?ic?aooieo ??cieo i?aei??ieo nii?oae, aca?iiae?th/eo c
a?oioii c o?aooaaiiyi i?oaeiiieanoe/ieo aeanoeainoae ?o iaoa??ae?a.

O?ao?e ?icae?e i?enay/aii aenia?eiaioaeueiei aeine?aeaeaiiyi aca?iiae??
aio/ei? i?aei??ii? no?iee c eiioaeooth/ei a?oioii.

Aeine?aee i?iaiaeeeenue ia noaiae?, ui neeaaea?oueny c a?oioiaiai eioea
?ici??aie 177 o 100 o 109 ni, iiaeae? aio/ei? no?iee, aia?aoo?e aeey
aei??o oeneo a?oioo, aiea?iiai coneeey, i?iaei?a no?iee e ci?uaiiy
aiea?ii? iii?e. Iiaeaeue no?iee aoei c?iaeaii c eenoa i?aneea oiaueiith
10 ii c ?ici??aie 109 o 99 ni. Aeey caaacia/aiiy iaiao?aeii? aei?noeino?
a ai?eciioaeuei?e ieiuei? caa?oo iiaeaeue cae??ieaia c iaoaeaaei
eooiaeeii 50 o 50 ca aeiiiiiaith aeaio aiea?ieo aieo?a, cae??ieaieo c
iii?iith aaeeith c oaaea?a ?18, ui e?ioeyie niieo/aia c iaoai?ciii
ci?uaiue, cae??ieaiei ia ea?ean? eioea.

Aei?? oeneo a?oioo aeeiioaaany ca aeiiiiiaith eiioaeoieo aeao/ee?a,
?ic?iaeaieo ia aac? aeao/ee?a I.?.sseiae?aa e ?.A.Aeaaeaeiaa, ui
anoaiiaethaaeenue ii aa?oeeaeuei?e in? no?iee /a?ac 10 ni o ia?aaeaa/ai?
ai?caea. Aeey aei??o aeaoi?iaoe?e iiaeae? ia aa?oeeaeuei?e e?i??,
?icoaoiaai?e ia a?aenoai? 10 ni a?ae in? no?iee ia iaeiiio ??ai? c
eiioaeoieie aeao/eeaie, iaeeathaaeenue oaici?acenoi?e iii?ii 200 Ii.
Aiea?ia coneeey aei??thaaeinue ca aeiiiiiaith oaiciaeao/ee?a,
anoaiiaeaieo ia aiea?ieo iii?ao. Aeaeo?e/ia oaiciiao?e/ia noaia
aeeth/aeany a iai?ai?no c aaoiiaoe/iith eiiiainaoe??th oaiia?aoo?ieo
aeaoi?iaoe?e. Iieacaiiy aeao/ee?a oeneo, aiea?iiai coneeey e
aeaoi?iaoe?e iiaeae? no?iee ?a?no?oaaeenue ca aeiiiiiaith
aei??thaaeueii? nenoaie N??O-3. Caien ?ioi?iaoe?? aeaiaeeany
ae?oeoaaeueiei i?eno?i?i ia iaia?ia?e no??/oe?. Aei?? ci?uaiue aiea?ieo
iii? aeeiioaaany ?iaeeeaoi?aie aiaeeiieeiaiai oeio c oe?iith ae?eaiiy
0,01 ii.

Ca ?ic?iaeaiith iaoiaeeeith i?iaaaeaii 4 na??? aeine?ae?a, a yeeo
aea/aany aieea iine?aeiaiino? caneiee i?neo ca aio/eith no?ieith (ia?oa
na??y), aaee/eie caaeeaeaiiy no?iee (ae?oaa na??y), ci?uaiiy aiea?ii?
iii?e (o?aoy na??y) e ae?? ??aiii??ii ?iciiae?eaiiai iaaaioaaeaiiy ia
iiaa?oi? caneiee (/aoaa?oa na??y) ia aaee/eio e oa?aeoa? ?iciiae?eo
oeneo a?oioo, ci?ie coneeey a aiea?? e i?iaei?a no?iee.

?acoeueoaoe aei???a ia?iaeyeeny iaoiaeaie iaoaiaoe/ii? noaoenoeee.

I?iaaaeai? aenia?eiaioe aeicaieeee anoaiiaeoe caeiiii??iino? ?iciiae?eo
?ioaineaiino? aieiaiai oeneo a?oioo ii aenio? aio/ei? no?iee, cia/aiiy
caaeiaeueiiai iiiaioo a no?ioe? oa ?? i?iaei?a, aaee/eie aiea?iiai
coneeey a?ae iine?aeiaiino? e u?eueiino? caneiee a?oioo, caaeeaeaiiy
no?iee e ci?uaiiy aiea?ii? iii?e, a oaeiae ae?? ??aiii??ii
?iciiae?eaiiai iaaaioaaeaiiy.

Aeaye? caeaaeiino? iaaaaeai? ia ?en. 1 ? 2. C a?aoee?a (?en. 1) aeaeii,
ui ?c ca?eueoaiiyi a?aeiiniiai caaeoaeaiiy no?iee ??cei ciaiueoo?oueny
?? i?iaei ii ieaai?e e?ea?e, yea iiaea aooe ai?ieneiiaaia i?yiith. Oey
caeiiii??i?noue caa??aa?oueny aeey an?o iaaaioaaeaiue ia iiaa?oi?
caneiee.

Caeaaei?noue Umax a?ae ia?ai?uaiue aiea?ii? iii?e (?en.1, a) iineoue
oaeiae oa?aeoa? aeecueeee aei e?i?eiiai aeey an?o iaaaioaaeaiue, i?e
ca?eueoaii? ia?ai?uaiue aiea?ii? iii?e i?iaei no?iee ciaiueoo?oueny
(cai??thaaiiy i?iaei?a aaaeaoueny a?ae in? no?iee).

Ia ?en. 2 iieacai? caeaaeiino? ci?ie aaee/ei ??aiiae?eieo aeoeaiiai ?
ianeaiiai oeneo a?oioo ia aio/eo no?ieo, ?? iaeneiaeueiiai i?iaeio e
aiea?iiai coneeey a?ae ia?ai?uaiue aiea?ii? iii?e, iiaoaeiaaieo aeey
iaaaioaaeaiiy ia iiaa?oi? caneiee q = 9 eI/i.

?en. 1 Caeaaei?noue aaee/eie i?iaeio no?iee a?ae a?aeiinii? aeeaeie
caio?aiiy no?iee ? iiaeaoeeaino? aiea?ii? iii?e:1– i?e q = 0; 2 – i?e q
= 3 eI / i; 3 – i?e q= 6 eI / i; 4 – i?e q = 9 eI / i

?en. 2 Caeaaei?no?: 1 – aiea?iiai coneeey; 2 – iaeneiaeueiiai i?iaeio
no?iee; 3 – ??aiiae?eii? aeoeaiiai ? 4 – ??aiiae?eii? ianeaiiai oeneo
a?oioo a?ae iiaeaoeeaino? aiea?ii? iii?e

O /aoaa?oiio ?icae?e? i?iaaaeaii ii??aiyiiy ?acoeueoao?a ?ic?aooieo ca
cai?iiiiiaaiith iaoiaeeeith c aenia?eiaioaie aaoi?a e ?ioeo
aeine?aeiee?a, a oaeiae c ?ic?aooieiaeie aeaieie ca NIeI 2.06.07-87 ?
?OI 31.3016-78.

A oaaeeoe? 1 iaaaaeaii aeaye? aenia?eiaioaeuei? aeai? aaoi?a e
?acoeueoaoe ?ic?aooieo ca cai?iiiiiaaiith iaoiaeeeith i?e caio?aii?
no?iee ia 0,4I (I-aenioa no?iee) oa ??ciiio ??aiii??ii ?iciiae?eaiiio
iaaaioaaeaii? ia iiaa?oi? caneiee.

Oaaeeoey 1

Iaaaioa-

aeaiiy,

eIaIaeneiaeueiee

i?iaei10-3, i Aiea?ia

coneeey, eI ??aiiae?th/a

aeoeaiiai

oeneo a?oioo, eI??aiiae?th/a ianeaiiai

oeneo a?oioo, eIaeine?ic?.%aeine?ic?%aeine?ic?.%aeine?ic?.%q1 =
05,515,136,80,420,397,10,210,197,50,140,137,2q2 =
3,06,786,376,00,610,576,50,930,867,50,350,327,8q3 =
6,07,206,815,40,860,815,81,821,716,01,171,087,6q4 =
9,07,556,898,01,081,025,62,702,536,31,381,287,2

sse aeaeii c iaaaaeaieo o oaaeeoe? aeaieo, ?acoeueoaoe ?ic?aooieo
aeineoue aeia?a i?aeoaa?aeaeothoueny aenia?eiaioaie.

Ii??aiyeueiee aiae?c ?acoeueoao?a ?ic?aooieo ca cai?iiiiiaaiith
iaoiaeeeith c aeaieie aenia?eiaioaeueieo aeine?aeaeaiue A.A.Eacaaieea e
A.I.*i?ieoiai?, A.I.?aiaa/a e *i?iiii?IAe?i?iaeoo iieacaa ?o
caaeia?eueia ocaiaeaeaiiy.

Ii??aiyeuei? ?acoeueoaoe ?ic?aooie?a ca cai?iiiiiaaiith iaoiaeeeith, ca
NIeI 2.06.07-87 oa ?OI 31.3016-78, aeeiiaieo ia i?eeeaaeao i?e/ae?a oeio
“aieueaa?e”, ui aenieoaoothoueny, iaaaaeaii o oaaeeoe? 2.

Oaaeeoey 2

Iaoiaee

?ic?aooieoIaeneiaeueiee

caaeiaeueiee iiiaioIaen.i?iaei oa eiai i?aeeiaoaConeeey a

aiea?? ?ic?aooiei-

aa aeeaeiaa i?ie.,

eI iia iii??,

eI iUmax10-3

iy

iRa, eIcaaeeaeaiiy

no?iee, i1234567?acoeueoaoe ?ic?aooieo i?e/aeo ?15 Ia??oiieuenueeiai
ii?nueeiai ii?oo.I?ia?aia

aaoi?a148,6- 5345,74,2167,210,0NIeI

2.06.07-87172,7- 2761,24,6156,412,1?OI

31.3016-78160,4- 2249,44,3141,511,4?acoeueoaoe ?ic?aooieo i?e/aeo ?i-?i
?ee?/?anueeiai ii?nueeiai ii?oo.i?ia?aia

aaoi?a3780- 725114,28,7256,214,8

NIeI

2.06.07-874649- 496121,49,0237,618,0i?ia?aia

“ BOLV “4152- 538118,59,6241,015,6?acoeueoaoe ?ic?aooieo i?e/ae?a ?28 —
30 Ae.-Aoanueeiai ii?nueeiai ii?oo.i?ia?aia

aaoi?a4734,61365,0139,611,2910,225,80NIeI

2.06.07-875871,4937,4156,210,1740,531,00i?ia?aia

“ BOLV “6330,3904,1148,510,7822,029,30

Aiae?c iaaaaeaiieo a oaaeeoe? 2 aeaieo aeicaiey?:

 aeyaeoe ?aca?ae iano/i? caeaoiino? i?e/aeueieo nii?oae oa anoaiiaeoe
ia i?e/ae? a?eueo aaaeea ia?aaaioaaeoaaeueia iaeaaeiaiiy;

 i?iaeoia caaeeaeaiiy oioioiai? no?iee ia 25 % a?eueoa io?eiaii?
?ic?aooieii ca cai?iiiiiaaiith iaoiaeeeith, a caaeiaeueiee iiiaio o
i?ieueio? no?iee – ia 25 35% iaiueoa.

 i?iaeoia aeeaeia a?ey i?e/aeo iiaea aooe ca?eueoaia ia 1520%.

O caeeth/aii? i?aeaeoi i?aenoiee ?iaiou e iae?aneaii oeyoe ?aae?caoe??
?acoeueoao?a aeine?aeaeaiue.

Iniiai? aeniiaee

1. Aia?oa canoiniaaia oai??y ieanoe/ii? oa/??, aaciaaia ia i?eioeei?
iaeneioio I?cana, aei ?ic?aooieo oiieino?iieo i?e/aeueieo nii?oae
?ici??iiai oeio. Ia iniia? oe??? oai??? iiaoaeiaaia iaoaiaoe/ia iiaeaeue
noi?nii? ?iaioe aio/ei? i?aei??ii? no?iee ? a?oioiaiai ianeao, ui
a?aoiao? ye i?oaei?, oae ? ieanoe/i? aeaoi?iaoe??.

2. ?ic?iaeaia iaoiaeeea ?ic?aooieo aeicaiey? aeeiioaaoe noi?niee
?ic?aooiie oiieino?iieo i?aei??ieo nii?oae e aca?iiae?th/iai c ieie
a?oioo c o?aooaaiiyi ?aaeueieo aeanoeainoae ?o iaoa??ae?a, ia
?icaeaath/e eiai ia aeaa iacaeaaeieo ?ic?aooiee ca a?aie/ieie noaiaie ia
i?oei?noue ? aei?noe?noue. Cai?iiiiiaaia iaoiaeeea i?oaeiiieanoe/iiai
?ic?aooieo oiieino?iieo i?aei??ieo nii?oae ?ici??iiai oeio aeicaiey?
ioe?ithaaoe iai?oaeaii–aeaoi?iiaaiee noai eiino?oeoe?? oa
aca?iiae?th/iai c iath a?oioo a aenieoaoaoe?eiee ia??iae.

3. Cai?iiiiiaaiee aeai?eoi e i?ia?aiiee eiiieaen ?ic?aooieo oiieino?iieo
i?aei??ieo nii?oae aeicaieythoue aecia/eoe ?aca?ae iano/i? ni?iiiaeiino?
i?e ?o i?iaeooaaii? e aenieoaoaoe?? i?e ??cieo ?aaeeiao iaaaioaaeaiiy e
iiaea aooe aeei?enoaia a i?aeoeoe? oaoi?/ii? aenieoaoaoe?? ii?o?a c
iaoith iaa?oioiaaiiai i?eiyooy ??oaiue ii aeai?o ?aoe?iiaeueiiai ?aaeeio
aenieoaoaoe?? i?e/ae?a.

4. ?acoeueoaoe ?ic?aooieo ca cai?iiiiiaaiith iaoiaeeeith aeia?a
ocaiaeaeothoueny c aenia?eiaioaeueieie aeaieie aaoi?a e ae?oaeo
aeine?aeiee?a.

5. ?ic?iaeaia aenia?eiaioaeueia iiaeaeue aio/ei? no?iee aeicaiey?
i?iaiaeeoe aeine?aee aeey aea/aiiy aca?iiae?? a?oioo c aio/eith
i?aei??iith no?ieith i?e ??cieo oiiaao ?? ?iaioe e iaaaioaaeaiiy. Ia
iniia? noaiaeiaeo aei?iaoaaiue ia oe?e aenia?eiaioaeuei?e onoaiiaoe?
anoaiiaeaii caeiiii??iino? aca?iiae?? aio/ei? i?aei??ii? no?iee c
a?oioiaei na?aaeiaeuai a caeaaeiino? a?ae aei?noeino? no?iee, ??
caaeeaeaiiy, iiaeaoeeaino? aiea?ieo iii?, iaaaioaaeaiiy oa ?ioeo
/eiiee?a. Iiaeaeue aio/ei? no?iee iiaea aooe aeei?enoaia a i?iaeoi?e
i?aeoeoe?, a oaeiae a iaa/aeueiiio i?ioean? aeey i?iaaaeaiiy
aenia?eiaioaeueieo aeine?aeaeaiue aca?iiae?? aio/ei? no?iee c a?oioii.

6. Ii??aiyiiy ?acoeueoao?a ?ic?aooie?a ca cai?iiiiiaaiith iaoiaeeeith c
aeaieie ?ic?aooie?a ca ii?iaoeaieie aeieoiaioaie, aeeiiaieo ia
i?eeeaaeao ?aaeueieo i?e/ae?a oeio “aieueaa?e”, ye? aenieoaoothoueny a
??cieo ii?oao iieacaei, ui ?ic?iaeaia iaoiaeeea ?ic?aooieo oiieino?iieo
i?aei??ieo nii?oae aeicaiey? aeyaeoe ?aca?ae iano/i? ni?iiiaeiino? i?e
?o i?iaeooaaii? oa aenieoaoaoe??. Oea aeicaiey? a?eueo aoaeoeaii
aeei?enoiaoaaoe i?e/aeuei? oa ?io? nii?oaee oaeiai oeio.

7. Noeoii?noue iiaeo iaoeiaeo iieiaeaiue, ?acoeueoao?a oa aeniiae?a,
noi?ioeueiaaieo a aeena?oaoe?? ia iniia? aeeiiaieo oai?aoe/ieo ?
aenia?eiaioaeueieo aeine?aeaeaiue aca?iiae?? oiieino?iieo i?aei??ieo
nii?oae c a?oioiaei na?aaeiaeuai, iiaeia eaae?o?eoaaoe ye iiaee iai?yiie
o ae??oei? aaaeeeai? iaoeiai–oaoi?/ii? caaea/? a iaeano? oaoi?/ii?
aenieoaoaoe?? i?e/aeueieo nii?oae.

INIIAI? IIEIAEAIIss AeENA?OAOe?? IIOAEEEIAAII A ?IAIOAO:

1. A?eoei A.A., Aeaaeneeo (Aoaaaaa) N.A. Niaianoiue oi?oaiieanoe/aneee
?an/ao oiieeo noaiie e aeaoi?ie?oaiiai iniiaaiey. Eca. Aocia,
No?ieoaeuenoai, ?9, 1995.–N. 14 – 16.

Iniaenoi caeiaoaa/ai io?eiaii oa?aoe/ia ??oaiiy aeey noi?niiai
?ic?aooieo oiieeo no?iie oa aca?iiae?th/iai c iath a?oioo.

2. Aoaaaaa N.A. Yenia?eiaioaeueiua enneaaeiaaiey acaeiiaeaenoaey aeaeie
iiaeii?iie noaiee n ie?oaeathuei aa a?oioii. “Aanoiee IAIO”, Iaeanna,
?1, 1998.– N. 35 – 38.

3. Aoaaaaa N.A. ?an/ao aeaeie iiaeii?iie noaiee acaeiiaeaenoaothuae n
a?oioii n o/aoii oi?oaiieanoe/aneeo naienoa eo iaoa?eaeia. “Aanoiee
IAIO”, Iaeanna, ?1, 1998. – N. 31 – 34.

4. Aoaaaaa N.A. Iiauoaiea yooaeoeaiinoe eniieueciaaiey i?e/aeueiuo
nii?oaeaiee. “Noaeioiaenoai”, ? 4, 1999. – N. 26 – 27.

5. A?eoei A.A., Aoaaaaa N.A., Aoaaaaa E.A. Niaianoiue
oi?oaiayceiieanoe/aneee ?an/ao ieeou e iniiaaiey i?e neiaeiii
iaa?oaeaiee. “Aanoiee IAIO”, Iaeanna, ?4, 1999. – N. 122 – 126.
Iniaenoi caeiaoaa/ai io?eiaii oai?aoe/ia ??oaiiy aeey ?ic?aooieo ieeo
i?e neeaaeiiio iaaaioaaeaii? c o?aooaaiiyi i?oaeiia?yceiieanoe/ieo
aeanoeainoae iaoa??ae?a.

6. Aoaa?aa N.A. Aieea caaeeaeaiiy oioioiai? no?iee ia ?iciiae?e oeneo
a?oioo ii ?? aenio?. // I?aea?aeii/ee iaoeiai–oaoi?/iee ca??iee, “Iniiae
? ooiaeaiaioe”,aei. 25. – Ee?a: EIOAA – 1999. – N. 98 – 102.

Aeiaeaoeiai:

7. A?eoei A.A., Aeaaeneeo (Aoaaaaa) N.A. I?i/iinoue oiieinoaiiuo
eiino?oeoeee, acaeiiaeaenoaothueo n aeaoi?ie?oaiui iniiaaieai i?e
noaoe/aneii iaa?oaeaiee: I-eu Iaaeaeoia?iaeiiai naieia?a
No?oeoo?iia?aciaaiea, i?i/iinoue e ?ac?ooaiea eiiiiceoeeiiiuo no?ieo.
iao-eia e eiino?oeoeee.- Iaeanna, 1994. — N . 11. Iniaenoi caeiaoaa/ai
io?eiaii oai?aoe/ia iaa?oiooaaiiy ?ic?aooieo oiieino?iieo eiino?oeoe?e,
aca?iiae?th/eo c a?oioiaei na?aaeiaeuai.

8. A?eoei A.A., Aeaaeneeo (Aoaaaaa) N.A. Iaeeiaeiua oiieinoaiiua iiaeaee
aeae?ioaoie/aneeo nii?oaeaiee, acaeiiaeaenoaothueo n aeaoi?ie?oaiie
n?aaeie. Na. aeieeaaeia II ai?iaeneiai naieia?a I?eiaiaiea au/.oaoieee e
iaoaiaoe/aneiai iiaeaee?iaaiey a i?eeeaaeiuo iao/iuo
enneaaeiaaieyo.-Iaeanna, 1995.- N.11. Iniaenoi caeiaoaa/ai i?iaaaeaii
iaoaiaoe/ia iiaeaethaaiiy aca?iiae?? a?ae?ioaoi?/ieo nii?oae c a?oioii.

9. Aeaaeneeo (Aoaaaaa) N.A., Aoaaaa A.O., A?eoei A.A. ?an/ao ieeou ia
aeaoi?ie?oaiii iniiaaiee n o/aoii oi?oaiayceiieanoe/aneeo naienoa eo
iaoa?eaea. Na.aeieaeaaeia II Oe?aeineie iao/ii-oaoie/aneie eiioa?aioeee
ii iaoaieea a?oioia e ooiaeaiaioino?iaieth. o.II, Iieoaaa, 1995.- N.74.
Iniaenoi caeiaoaa/ai io?eiai? ??aiyiiy aeey o?aooaaiiy
i?oaeiia?yceiieanoe/ieo aeanoeainoae iaoa??ae?a ieeo oa a?oioiaiai
na?aaeiaeua.

10. Aeaaeneeo (Aoaaaaa) N.A., Aoaaaa A.O., A?eoei A.A. ?an/ao oiieeo
noaiie a aeaoi?ie?oaiie oi?oaiieanoe/aneie n?aaea. Na.aeieaeaaeia II
Oe?aeineie iao/ii-oaoie/aneie eiioa?aioeee ii iaoaieea a?oioia e
ooiaeaiaioino?iaieth. o.II, Iieoaaa, 1995.– N. 84 – 86. Iniaenoi
caeiaoaa/ai i?iaaaeaii iaoaiaoe/iee aenia??iaio aca?iiae?? aio/eeo
i?aei??ieo no?iie c i?oaeiiieanoe/iei na?aaeiaeuai.

11. Aoaaaaa E.A., Aoaaaaa N.A. I?eiaiaiea IYAI oeia IBM aeey ?an/aoa
nii?oaeaiee i?e neiaeiii iaa?oaeaiee n o/aoii oi?oaiieanoe/aneeo naienoa
eo iaoa?eaeia. Na. aeieeaaeia II iao/ii-iaoiaee/aneie eiioa?aioeee
“Oniaa?oainoaiaaiea iiaeaioiaee niaoeeaeenoia a iaeanoe no?ieoaeuenoaa e
a?oeoaeoo?u.- Iaeanna: IAANA, 1997.-N.78. Iniaenoi caeiaoaa/ai
cai?iiiiiaaia i?ia?aia aeey ?ic?aooieo nii?oae i?e neeaaeiiio
iaaaioaaeaii?.

12. Aoaaaaa N.A., A?eoei A.A. Iniaaiiinoe acaeiiaeaenoaey aeaeie
iiaeii?iie noaiee n ie?oaeathuei aa a?oioii n o/aoii oi?oaiieanoe/aneeo
naienoa eo iaoa?eaeia. Na.aeieaeaaeia III Oe?aeineie iao/ii-oaoie/aneie
eiioa?aioeee ii iaoaieea a?oioia e ooiaeaiaioino?iaieth. O.II, Iaeanna,
1997.- N. 17–19. Iniaenoi caeiaoaa/ai io?eiaii oai?aoe/ia ??oaiiy
aca?iiae?? aio/ei? i?aei??ii? no?iee c a?oioiaei na?aaeiaeuai c
o?aooaaiiyi i?oaeiiieanoe/ieo aeanoeainoae ?o iaoa??ae?a.

13. Aoaaaaa N.A. Iaoiaeeea niaianoiiai ?an/aoa oiieinoaiiuo iiaeii?iuo
nii?oaeaiee e acaeiiaeaenoaothuaai n ieie a?oioa n o/aoii
oi?oaiieanoe/aneeo naienoa eo iaoa?eaeia. Na. aeieeaaeia III
Iaaeaeoia?iaeiie iao/ii – iaoiaee/aneie eiioa?aioeee “Oniaa?oainoaiaaiea
iiaeaioiaee niaoeeaeenoia.”- Iaeanna: IAANA, 1998. — N. 221.

AIIOAOe?ss

Aoaa?aa N.A. Iaa?oiooaaiiy iaoiaeeee ?ic?aooieo oiieino?iieo
eiino?oeoe?e, aca?iiae?th/eo c a?oioiaei na?aaeiaeuai c o?aooaaiiyi
i?oaeiiieanoe/ieo aeanoeainoae ?o iaoa??ae?a – ?oeiien.

Aeena?oaoe?y ia caeiaoooy a/aiiai nooiaith eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.23.01 – Aoae?aaeuei? eiino?oeoe??, aoae?ae? oa
nii?oaee – Iaeanueea aea?aeaaia aeaaeai?y aoae?aieoeoaa oa a?o?oaeoo?e,
Iaeana, 1999.

Aeena?oaoe?eia ?iaioa i?enay/aia ?ic?iaoe? iaoiaeeee noi?niiai
?ic?aooieo oiieino?iieo i?aei??ieo nii?oae oa eiioaeooth/iai a?oioo c
o?aooaaiiyi i?oaeiiieanoe/ieo aeanoeainoae ?o iaoa??ae?a.

Iniiai? ??aiyiiy iaea?aeaii ia iniia? oai??? ieanoe/ii? oa/??,
aaciaai?e ia i?eioeei? iaeneioio I?cana.

?ic?iaeaii aeai?eoi ? i?ia?aiiee eiiieaen, eio?? aeicaieythoue
aeeiioaaoe noi?niee ?ic?aooiie nii?oaee e eiioaeooth/iai a?oioo, ia
?icaeaath/e ia aeaa iacaeaaeieo ?ic?aooiee ca a?aie/ieie noaiaie ia
i?oei?noue oa aei?noe?noue. Cai?iiiiiaaia iaoiaeeea ?ic?aooieo a?eueo
iiaii a?aoiao? ?iaioo nii?oae ? aeicaiey? ioe?ieoe
iai?oaeaii–aeaoi?iiaaiee noai eiino?oeoe?? oa aca?iiae?th/iai c iath
a?oioo a aenieoaoaoe?eiee ia??iae.

Eeth/aa? neiaa: oiieino?iiee, i?aei??ia nii?oaea, i?oaeiiieanoe/iee,
aeaoi?iaoe?y, a?oio, ?ic?aooiie, aca?iiae?y, i?oei?noue, aei?noe?noue.

AIIIOAOeEss

Aoaaaaa N.A. Iainiiaaiea iaoiaeeee ?an/aoa oiieinoaiiuo eiino?oeoeee,
acaeiiaeaenoaothueo n a?oioiaie n?aaeie n o/aoii oi?oaiieanoe/aneeo
naienoa eo iaoa?eaeia – ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.23.01 – No?ieoaeueiua eiino?oeoeee, no?iaiey e
nii?oaeaiey – Iaeanneay ainoaea?noaaiiay aeaaeaiey no?ieoaeuenoaa e
a?oeoaeoo?u, Iaeanna, 1999.

Aeenna?oaoeeiiiay ?aaioa iinayuaia ?ac?aaioea iaoiaeeee niaianoiiai
?an/aoa oiieinoaiiuo iiaeii?iuo nii?oaeaiee e eiioaeoe?othuaai a?oioa n
o/aoii oi?oaiieanoe/aneeo naienoa eo iaoa?eaeia.

Aeaenoaothuea ii?iaoeaiua aeieoiaiou ?aeiiaiaeotho i?iecaiaeeoue ?an/ao
nii?oaeaiee acaeiiaeaenoaothueo n a?oioii a oi?oaie noaaeee eo ?aaiou
eee ii i?aaeaeueiui ninoiyieyi. Oaeie iiaeoiae ia iicaieyao i?ineaaeeoue
iaeiia?aiaiii ca iai?yaeaiii–aeaoi?ie?oaiui ninoiyieai nenoaiu
“nii?oaeaiea – eiioaeoe?othuee a?oio”, ia/eiay n iiiaioa aai caa?oaeaiey
e aei iioa?e ianouae niiniaiinoe, oae eae oi?oaee ?an/ao ia o/eouaaao
ieanoe/aneeo aeaoi?iaoeee, a ?an/ao ii i?aaeaeueiui ninoiyieyi iicaieyao
ii?aaeaeeoue oieueei ?ac?ooathuea iaa?ocee. E?iia yoiai, aieueoeinoai
nouanoaothueo iaoiaeia ?an/aoa iiaeiaiuo nii?oaeaiee i?aaeeaaatho
i?iecaiaeeoue ?an/ao ?acaeaeueii: aia/aea ?anniao?eaaaony oieueei
iai?yaeaiii–aeaoi?ie?iaaiiia ninoiyiea a?oioa, a caoai, eniieuecoy
iieo/aiiua iaa?ocee io aeaaeaiey a?oioa, ?ann/eouaatho eiino?oeoeeth
noaiee. Yoe iaoiaeu ia iicaieytho onoaiiaeoue
iai?yaeaiii–aeaoi?ie?iaaiiia ninoiyiea nii?oaeaiey e eiioaeoe?othuaai
a?oioa a eo ?aaeueiie niaianoiie ?aaioa.

I/aaeaeii, /oi oieueei o/ao niaianoiie ?aaiou noaiee e
acaeiiaeaenoaothuaai n iae a?oioa e oi?oaiieanoe/aneea naienoaa eo
iaoa?eaeia iicaieyao ii?aaeaeeoue aeaenoaeoaeueiia
iai?yaeaiii–aeaoi?ie?iaaiiia ninoiyiea nenoaiu “noaiea – a?oio”.

I?aaeeaaaaiay a aeenna?oaoeee iaoiaeeea niaianoiiai ?an/aoa
oiieinoaiiuo iiaeii?iuo nii?oaeaiee e acaeiiaeaenoaothuaai n ieie a?oioa
n o/aoii oi?oaeo e ieanoe/aneeo naienoa eo iaoa?eaeia, ia ?acaeaay aai
ia aeaa iacaaeneiuo ?an/aoa, ii i?aaeaeueiui ninoiyieyi ia i?i/iinoue e
aeanoeinoue iicaieyao aieaa iieii ioeaieoue ?aaioo nii?oaeaiey a oeaeii.

Iniiaiua o?aaiaiey iieo/aiu ia iniiaa oai?ee ieanoe/aneiai oa/aiey,
aace?othuaeny ia i?eioeeia iaeneioia Iecana. Aeey /eneaiiiai ?aoaiey
?anniao?eaaaiie caaea/e ?ac?aaioaiu aeai?eoi e i?ia?aiiiue eiiieaen, a
eioi?ii aeene?aoecaoeey e?aaaie caaea/e auiieiaia iaoiaeii eiia/iuo
yeaiaioia, a eoa?aoeeiiiue i?ioean iieo/aiey ?aoaiey iino?iai ia iniiaa
iaoiaea Iuethoiia – Eaioi?iae/a. I?eiaieoaeueii e aaoiio e aeaeaciaaoiio
eniieuecoaony oneiaea ieanoe/iinoe A.A.Aaieaaa, aeey a?oioia – oneiaea
Eoeiia – Ii?a e aeey iaoaeeia – oneiaea O?anea– Nai – Aaiaia.

I?aaeeaaaaiay iaoiaeeea ?an/aoa aieaa iieii ioeaieaaao niaianoioth
?aaioo nii?oaeaiey e acaeiiaeaenoaothuaai n iei a?oioa e iicaieyao
auyaeyoue ?aca?au ianouae niiniaiinoe i?e i?iaeoe?iaaiee e a i?ioeanna
yenieoaoaoeee oiieinoaiiuo iiaeii?iuo nii?oaeaiee.

Aeey i?iaa?ee iieo/aiiuo oai?aoe/aneeo ?aoaiee auee i?iaaaeaiu
yenia?eiaioaeueiua enneaaeiaaiey acaeiiaeaenoaey aeaeie iiaeii?iie
noaiee n eiioaeoe?othuei a?oioii ia niaoeeaeueii ?ac?aaioaiiii e
nicaeaiiii noaiaea, a ninoaa eioi?iai aoiaeeei: a?oioiaue eioie,
iiaeaeue aeaeie noaiee, aiia?aoo?a aeey ecia?aiey aeaaeaiey a?oioa,
aiea?iiai oneeey, i?iaeaia noaiee e ia?aiauaiee aiea?iie iii?u.

A?oioiaue eioie eiae aeeeio 180 ni, oe?eio – 100 ni e aunioo – 110 ni.
Aieiauie noaieaie eioea neoaeeee eenou iiee?iaaiiiai noaeea oieueiie 20
ii, iie?athueany ia aeanoeee ea?ean eioea.

Iiaeaeue aeaeie noaiee auea ecaioiaeaia ec eenoa i?anoaeea oieueiie 10
ii, n ?acia?aie 106 o 99 ni. Ii aa?oeeaeueiie ine iiaeaee aeaeie noaiee
onoaiaaeeaaeenue ia ?annoiyiee 10 ni ae?oa io ae?oaa niaoeeaeueii
?ac?aaioaiiua eiioaeoiua aeao/eee aeey ecia?aiey aiea?iiai oneeey e
i?iaeaia noaiee.

I?iaaaeaiiua yenia?eiaiou iicaieeee onoaiiaeoue iaeioi?ua caaeneiinoe
aaee/eiu e oa?aeoa? ?ani?aaeaeaiey aieiaiai aeaaeaiey a?oioa, cia/aiey
ecaeaathueo iiiaioia a noaiea e aa i?iaeaia, aaee/eiu aiea?iiai oneeey
io iineaaeiaaoaeueiinoe canuiee e ieioiinoe a?oioa, caaeoaeaiey noaiee,
ia?aiauaiee aiea?iie iii?u e aeaenoaey ?aaiiia?ii ?ani?aaeaeaiiie
iaa?ocee. ?acoeueoaou yenia?eiaioia oi?ioi niaeanothony n ?an/aoiuie
aeaiiuie.

N?aaiaiea ?acoeueoaoia ?an/aoa ii i?aaeeaaaaiie iaoiaeeea n iiuoiuie
aeaiiuie ae?oaeo aaoi?ia, a oaeaea n ?acoeueoaoaie ?an/aoia ii
ii?iaoeaiui aeieoiaioai, auiieiaiiuo ia i?eia?ao yenieoaoe?oaiuo
i?e/aeia oeia “aieueaa?e” a ?aciuo ii?oao, iieacaei, /oi ?ac?aaioaiiay
iaoiaeeea ?an/aoa oiieinoaiiuo iiaeii?iuo nii?oaeaiee iicaieyao auyaeoue
iaeniieueciaaiiua ?aca?au ianouae niiniaiinoe i?e eo i?iaeoe?iaaiee e
yenieoaoaoeee. Yoi iicaieyao aieaa yooaeoeaii eniieueciaaoue iiaeii?iua
nii?oaeaiey oaeiai oeia.

Eeth/aaua neiaa: oiieinoaiiue, iiaeii?iia nii?oaeaiea,
oi?oaiieanoe/aneee, aeaoi?iaoeey, a?oio, ?an/ao, acaeiiaeaenoaea,
i?i/iinoue, aeanoeinoue.

THE SUMMARY

Bugaeva S.V. – Motivation of strategy thin-shell designs, interacting
with soil by the ambience with provision for elastoplastic
characteristics of their material — manuscript.

The dissertation is for a scientific degree of candidate of technical
sciences on the speciality 05.23.01 – Building designs, constructions
and erecting, – Odessa state academy of construction and architectures,
Odessa, 1999.

The dissertation is dedicated to working out the methods of joint
calculation of thin-shell berth structures and contacting soil regarding
elastoplastic properties of their materials.

The main equations are received on the basis of theory of plastic flow,
they are based on the principle of maximum by Mizes.

Algorithm and programme complex are worked out, they allow to fulfil
the joint calculation of structure and deformed soil without dividing
into two independent limit states calculations on durability and
rigidity. Suggested methods of calculation take into account the real
work of structures interacting with the soil in fuller measure.

Key words: thin-shell, berth structure, elastic and plastic,
deformation, soil, calculation, interaction, durability, rigidity.

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