Aea?aeaaiee oi?aa?neoao “Euea?anueea iie?oaoi?ea”

Ia i?aaao ?oeiieno

OAeE 624.07:531.8

ss?ioaae/ ?aee

IAOIAeE AIAE?CO EIEEAAIUe ? NO?EEINO?

EIIOEIOAEUeII-AeENE?AOIEO IAOAI?*IEO NENOAI

C IA??AIII??II ?ICIIAe?EAIEIE IA?AIAO?AIE

05.02.09 — Aeeiai?ea oa i?oei?noue iaoei

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

aeieoi?a oaoi?/ieo iaoe

Euea?a — 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a A?einoioeuee?e iie?oaoi?oe? I?i?noa?noaa ina?oe
Iieueu?.

Io?oe?ei? iiiiaioe: aeieoi? oaoi?/ieo iaoe, i?ioani?

Eocueiaiei Aiaoie?e A?eai?iae/,

Oaoiieia?/iee oi?aa?neoao Iiae?eey,

caa?aeoaa/ eaoaae?e

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani?

Inaae/oe Aaneeue Aioiiiae/,

Aea?aeaaiee oi?aa?neoao “Euea?anueea iie?oaoi?ea”,

caa?aeoaa/ eaoaae?e

aeieoi? oaoi?/ieo iaoe,

noa?oee iaoeiaee ni?a?ia?oiee

C?iueeianueeee Aiaoie?e Iaaeiae/,

?inoeooo i?iaeai i?oeiino? IAI Oe?a?ie,

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

I?ia?aeia onoaiiaa: Iaoe?iiaeueiee oaoi?/iee oi?aa?neoao Oe?a?ie

“Ee?anueeee iie?oaoi?/iee ?inoeooo”,

eaoaae?a aeeiai?ee, i?oeiino? oa iii?o iaoa??ae?a,

I?i?noa?noai ina?oe Oe?a?ie, i. Ee?a

Caoeno a?aeaoaeaoueny 29 aa?aniy 1999 ?ieo i 1400 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 35.052.06 i?e Aea?aeaaiiio oi?aa?neoao?
“Euea?anueea iie?oaoi?ea” ca aae?anith: 290646, Euea?a-13, aoe. N.
Aaiaea?e, 12,

aoae. 226.

C aeena?oaoe??th iiaeia iciaeiieoeny a iaoeiai-oaoi?/i?e a?ae?ioaoe?
Aea?aeaaiiai oi?aa?neoaoo “Euea?anueea iie?oaoi?ea” ca aae?anith:
290013, Euea?a-13, aoe. I?ioani?nueea, 1.

Aaoi?aoa?ao ?ic?neaiee “28” na?iiy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Oa?/aiei ?. A.

ae. o. i., aeioeaio

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeueiinoue oaie. O no/aniiio iaoeiiaoaeoaaii? oe?ieiai canoinoaaiiy
iaaoee aeaiaioe eiino?oeoe?e o aeaeyae? aeiaaii??eo i?oaeieo o?e,
aei?noe?ni? oa ?ia?oe?ei? oa?aeoa?enoeee eio?eo ? ooieoe?yie
iicaeiaaei?o eii?aeeiao. Aei ?o /enea iaeaaeaoue iano/? aaeee iniia
iaoeiieo aa?aaao?a, no??ee ? aaooe i?ae?eiaeueieo e?ai?a, ao?ia? aeoee,
aenioi? iii?e, iano/? iaoaeieiino?oeoe?? eiiaa???a, e?eea e?oae?a,
eiiaoee oo?a?i, ?aie aeey oo?eioaaiiy ? iiaea/? aeaeo?iae?a
noaeaieaaeeueieo ia/ae, aeiaa? aaeii?iaiaee oiui. Oae? aeaiaioe
caeaa?eueoiai aoiaeyoue aei aaciaeo oa aaaeeiiaaaioaaeaieo aoce?a, oiio
?o iaae?ei?noue ? aeiaaia?/i?noue cia/iith i??ith aecia/athoue oaoi?/iee
??aaiue iaoeie a oe?eiio.

Ia iaaaioaaeaiiy aeaiaio?a eiino?oeoe?e ?noioii aieeaathoue aeeiai?/i?
yaeua, ui aeieeathoue i?ae /an ?iaioe iaoeiieo aa?aaao?a. Ia?niaeoeaiei
iai?yiii i?aeaeuaiiy oi/iino? ?ic?aooie?a ia i?oei?noue oa i?iaiicoaaiiy
?ano?no iaoai?ci?a ? iaoei c eaieaie cia/ii? aeiaaeeie ? oaeineiiaeaiiy
iaoiae?a aiae?co aeeiai?/ieo i?ioean?a ia iniia? canoinoaaiiy
eiioeioaeueii-aeene?aoieo ?ic?aooieiaeo iiaeaeae, eio??
oa?aeoa?ecothoueny aenieith aaeaeaaoi?noth uiaei ?aaeueieo iaoai?/ieo
nenoai. Aaaeeeao ?ieue o caaacia/aii? ?iaioini?iiiaeiino? oa
?aoe?iiaeueiiio eiino?othaaii? oaoi?/ieo ia’?eo?a a?ae?a?a? iiaeaeueoee
?icaeoie oai??? noaoe/ii? ? aeeiai?/ii? no?eeino?.

Aeey iiaoaeiae ocaaaeueiaieo caeaaeiinoae aeeiai?/ieo oa?aeoa?enoee oa
e?eoe/ieo iaaaioaaeaiue nenoaie a?ae ?? i?oaeii-?ia?oe?eieo oa
aaiiao?e/ieo ia?aiao??a, aeieeaaeiiai aea/aiiy aeanoeainoae i?oaeieo
nenoai o a?aie/ieo aeiaaeeao, iaa?oiooaaiiy oi?ioe, ui aeathoue
iiaeeea?noue iaaeeaeaiiai aecia/aiiy /anoio ? oi?i a?eueieo eieeaaiue,
aiie?ooae aeiooaieo eieeaaiue oa oiia no?eeino?, a oaeiae aeey ioe?iee
oi/iino? /eneiaeo iaoiae?a ?ic?aooieo aeieea? iaiao?aei?noue
canoinoaaiiy aiae?oe/ieo iaoiae?a aiae?co. Cia/i? o?oaeiiu? aiae?oe/iiai
aeine?aeaeaiiy eieeaaiue oa no?eeino? aeaiaio?a eiino?oeoe?e, ui iathoue
ia??aiii??ii ?iciiae?eai? ia?aiao?e, coiiaeai? oei, ui oae? caaea/?
caiaeyoueny aei ?ioaa?oaaiiy aeeoa?aioe?aeueieo ??aiyiue c? ci?iieie
eiao?oe??ioaie, oai??y yeeo ?ic?iaeaia iaaeinoaoiuei. O aeiaaeeao,
aaaeeeaeo aeey ?iaeaia?ii? i?aeoeee, aeieea? iaiao?aei?noue a?aooaaiiy
aeene?aoieo aeeth/aiue o iaoai?/io nenoaio o aeaeyae? cina?aaeaeaieo
?ia?oe?eieo, aei?noe?nieo oa aeeneiaoeaieo aeaiaio?a ? iaaaioaaeaiue, ui
i?ecaiaeeoue aei iiyae neiaoey?iinoae oeio aeaeueoa-ooieoe?e Ae??aea o
eiao?oe??ioao ? i?aaeo /anoeiao ??aiyiue ?ooo. Aeiaeaoeia? oneeaaeiaiiy
iinoathoue i?ae /an i?iaaaeaiiy aiae?co eieeaaiue neeaaeaieo noa?aeiaaeo
nenoai c oa?i??ieie c’?aeiaiiyie, ine?eueee a oaeeo aeiaaeeao
ao?a/a?oueny aaciina?aaei?e ca’ycie aaiiao?e/ieo ? neeiaeo ia?aiao??a
aeaiaio?a a ieie? oi/ee ?ici?uaiiy oa?i??a. Oe?ie? iiaeeeaino?
a?oioiaiiai aea/aiiy aeanoeainoae aeiaaii??eo i?oaeieo eiino?oeoe?e c
ia??aiii??ii ?iciiae?eaieie ia?aiao?aie a?aee?eaa? iaoiae
oa?aeoa?enoe/ieo ?yae?a o ii?aeiaii? c iaoiaeii ooieoe?e aieeao. Aenieo
aoaeoeai?noue ?ic?aooieiaeo aeai?eoi?a iiaeia caaacia/eoe, canoiniaoth/e
iaoiae ii/aoeiaeo ia?aiao??a.

Iaeiae, caaaeueia iaoiaeieia?y aiae?co eieeaaiue ? no?eeino?
eiioeioaeueii-aeene?aoieo iaoai?/ieo nenoai c ia??aiii??ii
?iciiae?eaieie ia?aiao?aie oa aeene?aoieie aeeth/aiiyie ua ia iaaoea
iaeaaeiiai ?icaeoeo ? ia caaeiaieueiy? i?aeoe/ieo aeiia. Ia ie?aneaieo
canaaeao ia ?ic?iaeaii ? niaoe?aeueieo iaoiae?a ?ic?aooieo ia no?ee?noue
? eieeaaiiy aaaaoueio aaaeeeaeo aeaiaio?a aia?aaoe/ieo,
i?ae?eiaeueii-o?ainii?oieo, oaoiieia?/ieo oa ?ioeo iaoei. Oiio
oai?aoe/i? e aenia?eiaioaeuei? aeine?aeaeaiiy, ni?yiiaai? ia ?ica’ycaiiy
aeaii? iaoeiai? i?iaeaie, ? aeooaeueieie ? ia?niaeoeaieie.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie oa oaiaie. Aeena?oaoe?eia
?iaioa aeeiioaaeany ca?aeii c ieaiii iaoeiai-aeine?aeieo ?ia?o eaoaae?e
iniia eiino?othaaiiy iaoei A?einoioeueei? iie?oaoi?ee (Iieueua) ?
iia’ycaia c oaiaoeeith i’yoiaaeoeyoe iaoeiai-aeine?aeieo ?ia?o,
aeeiiaieo i?ae ea??aieoeoaii oa i?e aaciina?aaei?e o/ano? aaoi?a ia
iniia? ainiaeiaiai??a i?ae A?einoioeueeith iie?oaoi?eith ? i?iieneiaeie
i?aei?e?inoaaie Iieueu? i?ioyaii 1980 — 1996 ?ie?a. Iaeaaaeeea?o? c
ainiaeiaia??ieo ?ia?o oae?.

1. Iioei?caoe?y eiino?oeoe?e aeaiaio?a noaeaieaaeeueii? ia/? 50 Ig c
o?ainoi?iaoi?ii 25/30 MVA (ainiaeiaia?? ? RNN/U/24/80 c Iaoaeo?a?eiei
caaiaeii “Aa?oaaa”, i. Aa?oaaa, 1980-1982).

2. Aeine?aeaeaiiy ? iiaea?i?caoe?y ie?aieo i?aenenoai i?yaeeeueieo iaoei
(ainiaeiaia?? ? RNN/U/3/80 c Oaa?eeith ooo/ieo ooo?iaeo ae?ia?a
“A??oia”, i. A?einoie, 1980-1985).

3. I?eno??e aeey ou?eueiaiiy ioai?o aeaeo?iaea aeaeo?iaeoaiai? ia/?
(ainiaeiaia?? ? RNN/U/124/86 c Iaoaeo?a?eiei caaiaeii “Aa?oaaa”,

i. Aa?oaaa, 1986-1987).

4. Nenoaia iai?aaeyth/eo ?ieee?a eieiie aeoaiai? ia/? c naii/eiiith
eiiiainaoe??th caci??a (ainiaeiaia?? ? RNN/U/53/87 c Iaoaeo?a?eiei
caaiaeii “Aa?oaaa”, i. Aa?oaaa, 1987).

5. Iiaea?i?caoe?y aacnooiaiaai? ia?aaea/? oa a?aeae?aeueieo
aaeii?iaiae?a oeee?iae?e/ii? a’ycaeueii? iaoeie TERROT oeio I?E-2
(ainiaeiaia??

? RNN/U/40/93 c Oaa?eeith ooo?iaeo ae?ia?a “A??oia”, i. A?einoie, 1993).

Oaia aeena?oaoe?eii? ?iaioe ? aeooaeueiith e aeey Oe?a?ie, ine?eueee
?icaeyioo? a i?e ieoaiiy aaeineiiaeaiiy iaoiae?a ?ic?aooieo iaoai?/ieo
nenoai a?aeia?aaeai? a oaeeo Aea?aeaaieo i?ia?aiao ye “I?aeaeuaiiy
iaae?eiino? ? aeiaaia?/iino? iaoei oa eiino?oeoe?e”, “Oe?a?ia-2010” oa
?ioeo.

Iaoa ? caaea/? aeine?aeaeaiue. Ca iaoo a aeena?oaoe?ei?e ?iaio?
noaaeoueny ?ic?iaeaiiy aoaeoeaieo iaoiae?a aiae?co eieeaaiue ? no?eeino?
iaeiiaei??ieo eiioeioaeueii-aeene?aoieo i?oaeieo nenoai c aeia?eueiei
o?ce/ii iaa?oioiaaiei ?iciiae?eii iane, aei?noeino?, iiaeaoeeaino?
i?oaeii? iniiae, ui ia?aaoaathoue i?ae ae??th eiina?aaoeaieo ?
iaeiina?aaoeaieo iaaaioaaeaiue, ia iniia? ciaoiaeaeaiiy oi?aa?naeueieo
oa?aeoa?enoe/ieo aecia/iee?a ye oe?eeo aiae?oe/ieo ooieoe?e ia?aiao??a
aai ia iniia? /eneiaiai ?ioaa?oaaiiy aeeoa?aioe?aeueieo ??aiyiue c?
ci?iieie eiao?oe??ioaie oa canoinoaaiiy iao?e/iiai iaoiaeo ii/aoeiaeo
ia?aiao??a.

Aeey ?aae?caoe?? iinoaaeaii? iaoe ?ica’ycothoueny oae? caaea/?:

1. Ii?aoethaaiiy niinia?a iiaoaeiae oi?aa?naeueieo oa?aeoa?enoe/ieo
??aiyiue e?aeiaeo caaea/ aeey cae/aeieo aeeoa?aioe?aeueieo ??aiyiue

n-iiai ii?yaeeo c? ci?iieie eiao?oe??ioaie oa neiaoey?iinoyie oeio
aeaeueoa-ooieoe?e Ae??aea c aeei?enoaiiyi ooieoe?? aieeao Eio? ? iaoiaeo
oa?aeoa?enoe/ieo ?yae?a.

2. Oi?ioethaaiiy ? ?ica’ycoaaiiy iaeiiaei??ieo e?aeiaeo caaea/
no?eeino?, ciaoiaeaeaiiy e?i?e i?iaeio, a oaeiae caaea/ ia iiia?a/i?
eieeaaiiy iaeii??aeieo i?oaeieo nenoai, c o?aooaaiiyi ia??aiii??iino?
?iciiae?eo iane, iicaeiaaeiueiai iaaaioaaeaiiy, iiaeaoeeaino? iniiae,
ianoaeino? caeiaeueii? aei?noeino?. I?eeia?oueny aei oaaae, ui nenoaia
ia? aeene?aoi? aeeth/aiiy oeio neoi/aieo ian, i?oaeieo iii?,
cina?aaeaeaieo iicaeiaaei?o ? iiia?a/ieo nee oiui.

3. Aeine?aeaeaiiy aieeao ci?iiino? iiia?a/iiai ia?a??co, iiaeaoeeaino?
iniiae, a oaeiae cia/aiue aeene?aoieo ian, aei?noeinoae iii? ? noaoe/ieo
iaaaioaaeaiue ia /anoioe ? oi?ie a?eueieo eieeaaiue, e?eoe/i?
iaaaioaaeaiiy, e?i?th caeio ? aeeiai?/i? ?aaeoe??.

4. ?ic?iaeaiiy iaoiaeo ?ica’ycoaaiiy e?aeiaeo caaea/ aeey aaaaoioa?iaeo
i?oaeieo nenoai, neiino?oeiaaieo c iaoa??ae?a, ui iathoue ??ci? aonoeie
? i?oaei? aeanoeaino?, c o?aooaaiiyi aeene?aoieo aeeth/aiue a nenoaio.

5. Aeaaaeaiiy oi?ioe ? iiaoaeiaa iiiia?ai, ui aeicaieythoue c caaeaiith
oi/i?noth i?iaiaeeoe ?iaeaia?i? ?ic?aooiee aeeiai?/ieo oa?aeoa?enoee
iiaeaeae iano/eo eiino?oeoe?e, oa anoaiiaeaiiy oiia canoinoaaiiy
iaea?aeaieo ?acoeueoao?a.

6. ?ica’ycaiiy iaoiaeii /anoeiai? aeene?aoecaoe?? e?aeiaeo caaea/ ia
eieeaaiiy aaaaoiia?aiao?e/ieo i?oaeieo nenoai ? ii?aoethaaiiy aeai?eoi?a
?ic?aooieo /anoio ? oi?i a?eueieo eieeaaiue oa aecia/aiiy e?eoe/ieo
iaaaioaaeaiue.

7. Iiaoaeiaa iaoaiaoe/ii? iiaeae? ? aeai?eoio ?ic?aooieo a?eueieo
eieeaaiue nenoaie oa?i??ii c/eaiiaaieo aaeie Oeiioaiea c? ci?iieie
i?oaeii-?ia?oe?eieie oa?aeoa?enoeeaie ia iniia? /eneiaiai ?ioaa?oaaiiy
??aiyiue aiie?ooaeieo ooieoe?e oa canoinoaaiiy iaoiaeo ii/aoeiaeo
ia?aiao??a.

8. ?ica?ycaiiiy caaea/ i?i ?aae?aeuei? eieeaaiiy i?oaeii? eoe? oa i?i
inaneiao?e/i? iiia?a/i? eieeaaiiy e?oaei? ieanoeie c aeene?aoieie
(eieiaeie) aeeth/aiiyie c iaoith ?ethno?aoe?? iiaeeeaino? canoinoaaiiy
iaoiaeo ooieoe?e aieeao aeey aeine?aeaeaiiy iaiaeiiaei??ieo i?oaeieo
nenoai oeyoii caaaeaiiy iaoaiaoe/ieo iiaeaeae aei iaeiiaei??ieo.

9. ?ic?iaeaiiy aiae?oe/iiai iaoiaeo aecia/aiiy aeanieo /anoio aaeee
Oeiioaiea aeey iniiaieo oei?a a?aie/ieo oiia ia iniia? iaoiaeo
oa?aeoa?enoe/ieo ?yae?a ?c canoinoaaiiyi ooieoe?? aieeao.

10. Aenia?eiaioaeueia aeine?aeaeaiiy eieeaaeueieo yaeu o nenoai?
iiaea/? aeaeo?iaea noaeaieaaeeueii? ia/?, aeeeeeaieo aeaeo?iaeeiai?/ieie
neeaie, oa aecia/aiiy aeeiai?/ieo iaaaioaaeaiue ? /anoio aeiooaieo
eieeaaiue iano/i? iaoaeieiino?oeoe??, yea oo?eio? aeaeo?iae.

11. Oai?aoe/ia aecia/aiiy aiie?ooaeii- ? oaci/anoioieo oa?aeoa?enoee
nenoaie aaoiiaoe/iiai ea?oaaiiy iiaea/ath aeaeo?iaea c iaoith
noaa?e?caoe?? aeaeo?e/ii? aeoae ca ?aooiie iaiaaeaiiy aiie?ooae
eieeaaiue iaoai?/ii? nenoaie.

12. Iiaoaeiaa iaoaiaoe/ii? iiaeae? oa i?iaaaeaiiy aeine?aeaeaiue
eieeaaiue iaoai?/ii? /anoeie nenoaie iiaea/? aeaeo?iaea c o?aooaaiiyi
i?oaeieo aeaoi?iaoe?e ?aie ye eaiee c ia??aiii??ii ?iciiae?eaieie
ia?aiao?aie.

13. Aecia/aiiy i?e/ei i?enei?aiiai ciiooaaiiy aeaeo?iaea oa aeaiaio?a
nenoaie eiai iiaea/?, cie?aia, aaaeo/eo ?ieee?a ? no?oiii?iaiae?a.

14. Iaa?oiooaaiiy iaoiaeieia?? i?iaaaeaiiy aenia?eiaioaeueieo
aeine?aeaeaiue a?eueieo eieeaaiue iaoai?/ieo nenoai, ui iathoue eaiee c
yne?aai ae?aaeaieie ?iciiae?eaieie ia?aiao?aie oa aenia?eiaioaeueia
ia?aa??ea cai?iiiiiaaiiai aiae?oe/iiai iaoiaeo ?ic?aooieo aeanieo /anoio
? oi?i i?oaeieo iaoai?/ieo nenoai c? noa?aeiaaeie aeaiaioaie ci?iiiai
iiia?a/iiai ia?a??co.

15. ?ic?iaeaiiy i?aeoe/ieo ?aeiiaiaeaoe?e uiaei ?ic?aooieo,
eiino?othaaiiy ? aeai?o ?aaeei?a ?iaioe nenoaie iiaea/? aeaeo?iae?a, a
oaeiae oaoi?/ieo ??oaiue ?ieeeiaeo iii? eieiie, ou?eueiaiue aeaeo?iaeieo
ioai??a, aaniee?a eieeaaiue aeaeo?iae?a. Aaeineiiaeaiiy eiino?oeoe?e oa
oaoiieia?e aeaioiaeaiiy no?oiii?iaiae?a (oei ? eaaae?a).

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a. 1. Aeey noi?ioeueiaaii? o
caaaeueiiio aeaeyae? e?aeiai? caaea/? ia caeiaeuei? eieeaaiiy i?oaeii
iia?oi? aaeee c? ci?iieie caeiiith aei?noe?noth, ?iciiae?eaiith ianith,
iicaeiaaei?i iaaaioaaeaiiyi, aei?noe?noth i?oaeii? iniiae oa c
aeene?aoieie aeeth/aiiyie o aeaeyae? cina?aaeaeaieo ian ? i?oaeieo iii?
io?eiaii oa?aeoa?enoe/ia ??aiyiiy, yea aea? iiaeeea?noue ciaoiaeeoe
ioe?iee aeanieo /anoio oa e?eoe/ieo nee iaoai?/ii? nenoaie;

2. C aeei?enoaiiyi iaoiaeo oa?aeoa?enoe/ieo ?yae?a oa aeainoi?iii?o
ioe?iie Aa?iooaeia-Ea?iiyia io?eiai? oi?ioee aeey aecia/aiiy iniiaii?
aeanii? /anoioe eiinieueieo aaeie c? ci?iieie i?oaeii-?ia?oe?eieie
oa?aeoa?enoeeaie oa c cina?aaeaeaiith ianith o aeayeiio i?ii?aeiiio
ia?a??c?; ii?aoeueiaaii canoinoaaiiy oeeo oi?ioe o aeiaaeeao, eiee aaeea
ia? oi?io eiiona aai eeeia;

3. ?ic?iaeaii iaoiae aiae?co caeiaeueieo eieeaaiue noa?aei?a c? ci?iieie
i?oaeii-?ia?oe?eieie oa?aeoa?enoeeaie, ui a?oioo?oueny ia /anoeia?e
aeene?aoecaoe?? iaoai?/ii? nenoaie ? oi?ioaaii? ??aiyiue ?ooo a
iaa?iai?e oi?i?; i?iaiae?ciaaii a?euei? eieeaaiiy iaiaeii??aeii?
eiionii? eiinie?;

4. Ia iniia? canoinoaaiiy ooieoe?e aieeao ?ica’ycaii caaea/o ia
ciaoiaeaeaiiy e?i?? i?iaeio ? e?eoe/iiai iaaaioaaeaiiy i?oaeii iia?oi?
aaeee ci?iiiai iiia?a/iiai ia?a??co, ui ia?aaoaa? i?ae ae??th
iicaeiaaei?o ? iiia?a/ieo nee;

5. ?ica’ycaii caaea/o ia no?ee?noue aa?oeeaeueii? eiionii? eiinie?, ui
ia?aaoaa? i?ae ae??th aeanii? aaae; iiaoaeiaaii aeai?eoi ?ic?aooieo
eiao?oe??io?a oa?aeoa?enoe/iiai ??aiyiiy ? i?iaiae?ciaaii /anoeia?
aeiaaeee ?ica’yce?a (iiaiee eiion, c??caiee eiion, oeee?iae?);

6. Iaea?aeaii /anoioia ??aiyiiy caaea/? ia iiia?a/i? eieeaaiiy
aa?oeeaeueiiai eiinieueiiai noa?aeiy, ui ia?aaoaa? i?ae ae??th
?iciiae?eaieo nee aeanii? aaae, a oaeiae i?eeeaaeaieo aei aa?oiueiai
e?ioey aa?oeeaeueii? (eiina?aaoeaii?) oa ne?aeeoth/i? nee; aeine?aeaeaii
aieea ia?aiao??a cauaieaiiy ieaeiueiai e?ioey oa eiai cae??ieaiiy ca
aeiiiiiaith i?oaeiiai oa?i??a ia iniiaio /anoioo oa aeea?ia? cia/aiiy;

7. Ia iniia? canoinoaaiiy iao?e/iiai iaoiaeo ii/aoeiaeo ia?aiao??a ?
/eneiaiai ?ioaa?oaaiiy ??aiyiue aiie?ooaeieo ooieoe?e iiaoaeiaaii
aeai?eoi ?ic?aooieo a?eueieo eieeaaiue nenoaie oa?i??ii c/eaiiaaieo
aaeie Oeiioaiea c? ci?iieie ia?aiao?aie;

8. ?ic?iaeaii iaoaiaoe/io iiaeaeue ? aeai?eoi ?ic?aooieo a?eueieo ?
aeiooaieo eieeaaiue iano/i? eiino?oeoe?? nenoaie iiaea/? aeaeo?iaea
aeaeo?iaeoaiai? ia/? ye eiioeioaeueii-aeene?aoii? iaoai?/ii? nenoaie, ui
ia? i?oaeio eaieo c? ci?iiith aei?noe?noth oa ia??aiii??ii
?iciiae?eaiith ianith;

9. I?i?ethno?iaaii iioe?aiiy iaoiaeieia?? aiae?co a?eueieo eieeaaiue
eiioeioaeueii-aeene?aoieo nenoai, yea a?oioo?oueny ia canoinoaaii?
ooieoe?e aieeao ? iaoiaeo oa?aeoa?enoe/ieo ?yae?a, ia caaea/? i?i
aecia/aiiy aeanieo /anoio ? oi?i inaneiao?e/ieo eieeaaiue e?oaei?
ieanoeie, a oaeiae ?aae?aeueieo eieeaaiue iaiaeii??aeii? eoe?.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. Cai?iiiiiaai? iaoiaee
aiae?co eieeaaiue ? no?eeino? eiioeioaeueii-aeene?aoieo iaoai?/ieo
nenoai c ia??aiii??ii ?iciiae?eaieie ia?aiao?aie caaacia/othoue cia/ia
i?aeaeuaiiy oi/iino? aecia/aiiy aeanieo /anoio ? oi?i, aiie?ooae
aeiooaieo eieeaaiue, e?eoe/ieo iaaaioaaeaiue, e?i?e i?iaeio aeiaaii??eo
iaoeiiaoae?aieo eiino?oeoe?e, oaeeo ye no??ee, uiaee, aaooe, ?aie,
aaeii?iaiaee oa ?io?. Iiaoaeiaai? iaoaiaoe/i? iiaeae? ? aeai?eoie,
io?eiai? ?ic?aooieia? oi?ioee iiaeooue aooe aeei?enoai? a nenoaiao
aaoiiaoeciaaiiai i?iaeooaaiiy iaoai?ci?a ? iaoei c iaoith onoiaiiy
?aciiainieo ?aaeei?a ?iaioe, iaiaaeaiiy aiie?ooae a?a?aoe?e oa
i?aeaeuaiiy iaae?eiino? aaaeeeaeo aeaiaio?a. ?ic?iaeai? iaoiaee
aeeiai?/iiai ?ic?aooieo aeathoue iiaeeea?noue ae?aaiinooaaoe noai
aaaeeiiaaaioaaeaieo aeaiaio?a iaoei oa aoce?a ?o e??ieaiiy.

O oiae? aeeiiaiiy aeena?oaoe?eii? ?iaioe cai?iiiiiaaii oaoi?/i? ??oaiiy
iaoai?cio aaaeo/eo ?ieee?a c iaia?a?aiith eiiiainaoe??th caci??a;
ou?eueiaiue aeaeo?iaeieo ioai??a, ye? aeeiiothoue ooieoe?? aaniee?a
iiia?a/ieo eieeaaiue aeaeo?iae?a ? caiia?aathoue ai?n?? aac?a, ieeo oa
iioe?aiith ooio; c’?aeiaiue eaaae?a c oeiaie no?oiii?iaiae?a. ?ic?iaeaii
niin?a iiioaaeo eaaae?a, yeee aea? iiaeeea?noue cieceoe iiioaaei?
iai?oaeaiiy a aeiaaeo i?ia?aeieeao aaeeeiai no?oio, i?ae /an aeeiiaiiy
oaoiieia?/ieo ?oo?a ia/? ? cieceoe a?a?iaeoeai?noue i?ea?aeieo
iaoai?ci?a.

Ia iniia? aeine?aeaeaiue aiie?ooaeii-/anoioieo oa?aeoa?enoee iaoai?/ii?
nenoaie ?aie aeey oo?eioaaiiy aeaeo?iae?a noaeaieaaeeueii? ia/?
iaa?oioiaaii ?aoe?iiaeuei? ia?aiao?e nenoaie aaoiiaoe/iiai ea?oaaiiy
iiaea/ath aeaeo?iae?a oa aoaeoeai? ?aaeeie ?iaioe ia/?. ?ic?iaeaii
?aeiiaiaeaoe?? uiaei onoiaiiy ?aciiainieo ?aaeei?a ?iaioe oa ciaioaiiy
?ioaineaiino? ciiooaaiiy aeaiaio?a i?yaeeeueieo iaoei. Cai?iiiiiaaii
iaoiaeeeo ae?aaiinoeee aaeeeiaaaa?eoieo aeaiiii?ieo aae?a oaoiieia?/iiai
iaeaaeiaiiy aeey iaoai?/ii? ia?iaee ooo/iiai aieieia.

I?aeoe/i? ?aeiiaiaeaoe?? ? oaoi?/i? ?ic?iaee, ui a?oioothoueny ia
iaoeiaeo ?acoeueoaoao aeena?oaoe?eii? ?iaioe, ai?iaaaeaeai? ia
Iaoaeo?a?eiiio caaiae? “Aa?oaaa” (i. Aa?oaaa, Iieueua) oa ia Oaa?eoe?
ooo?iaeo ae?ia?a “A??oia” (i. A?einoie, Iieueua), ui aeaei iiaeeea?noue
i?aeaeueoe aeiaaia?/i?noue ? iaae?ei?noue aaaeeeaeo aoce?a oaoiieia?/ieo
iaoei, a oaeiae iie?ioeoe oiiae i?aoe? ianeoaiaoth/iai ia?niiaeo.
?ic?iaee c oai??? eieeaaiue eiioeioaeueii-aeene?aoieo nenoai c
ia??aiii??ii ?iciiae?eaieie ia?aiao?aie, iaoiaeeea aenia?eiaioaeueiiai
aeine?aeaeaiiy aeeiai?ee i?oaeieo nenoai ?c canoinoaaiiyi ?iioeuenieo
cao?aiue oa niaeo?aeueiiai aiae?co, a oaeiae aenia?eiaioaeueia onoaiiaea
aeei?enoiaothoueny o iaa/aeueiiio i?ioean? i?e i?aeaioiaoe? nooaeaio?a
iaoai?ei-iaoeiiaoae?aiiai i?io?eth oa a iaoeiai-aeine?aei?e ?iaio?
nooaeaio?a ? ani??aio?a.

Ai?iaaoeiy ?acoeueoao?a aeena?oaoe??. Iniiaii ?acoeueoaoe ?iaioe
aeiiiaiaeaeeny ia: Aea?aeaaiie iaoeiai-oaoii/iie eiioa?aioe??
«Iioeiicaoeiy ia iaoaeo?a?eieo caaiaeao» (Ethaeii (Iieueua), 1980 ?.);
O Neiiicioii c aeaoaeae iaoei (E?aeia (Iieueua), 1981 ?.); O THaieaeiiio
neiiicioii «Eieeaaiiy o oice/ieo nenoaiao» (Iiciaiue (Iieueua), 1982
?.); XI Neiiicioii c aeaoaeae iaoei (Aa?oaaa (Iieueua), 1983 ?.); V
Neiiicioii c aeeiaiiee eiino?oeoe?? (AEaooa (Iieueua), 198 3?.); OI,
XII, XIV, XVI oa XVIII Neiiicioiao «Eieeaaiiy o oice/ieo nenoaiao»
(Iiciaiue (Iieueua), 1984, 1986, 1990, 1994, 1998 ?.?.); OII Neiiicioii
c aeaoaeae iaoei (Ethaeii (Iieueua), 1985 ?.);

XIII Neiiicioii c aeaoaeae iaoei (Naiiionoy (Iieueua), 1987 ?.);

XVI Neiiicioii c aeaoaeae iaoei (Aa?oaaa (Iieueua), 1993 ?.);

I-IV Iiaeia?iaeieo neiiicioiao oe?a?inueeeo iiaeaia?ia-iaoaiieia o
Eueaiai (Eueaia, 1993, 1995, 1997, 1999 ?.?.); Aeaa’yoie Iaoeiiiaeueiie
eiioa?aioe?? c oiceee «Oiceea-94» (Eiiia?a (Ii?ooaaeiy), 1994 ?.); XV
Anaiieueneie iaoeiai-aeeaeaeoe/iie eiioa?aioeii «Oai?iy iaoei i
iaoaiiciia» (Ayeenoie-Ayeia?aea (Iieueua), 1996 ?.);

O iiaiiio ianyci aeena?oaoeiy aeiiiaiaeaeany ia iaoeiaiio naiiia?i
eaoaae?e aeaoaeae iaoei iaoaii/iiai oaeoeueoaoo A?einoioeueeii
Iieioaoiiee oa ia ?icoe?aiiio caniaeaiii eaoaae?e aeaoaeae iaoei
Aea?aeaaiiai oiiaa?neoaoo «Eueaianueea iieioaoiiea».

Iniaenoee aianie caeiaoaa/a. Iniiai? ?acoeueoaoe oai?aoe/ieo o
aenia?eiaioaeueieo aeine?aeaeaiue, ui iiaeathoueny aei caoenoo, io?eiai?
aaoi?ii iniaenoi. Eiio iaeaaeaoue iaa?oiooaaiiy iaoiaeieia??
aeine?aeaeaiue, oi?ioaaiiy ?ic?aooieiaeo ? iaoaiaoe/ieo iiaeaeae,
ciaoiaeaeaiiy ?ica’yce?a e?aeiaeo caaea/, aeaaaeaiiy ?ic?aooieiaeo
oi?ioe, ?ic?iaea aeai?eoi?a ? i?ia?ai ?ic?aooieo a?eueieo oa aeiooaieo
eieeaaiue ? e?eoe/ieo iaaaioaaeaiue, aeeiiaiiy ?ic?aooieiaeo i?eeeaae?a,
iiaoaeiaa iiiia?ai, ui aeicaieythoue c caaeaiith oi/i?noth i?iaiaeeoe
?iaeaia?i? ?ic?aooiee aeeiai?/ieo oa?aeoa?enoee iano/eo eiino?oeoe?e.
Iinoaiiaea caaea/ oa aiae?c io?eioaaieo ?acoeueoao?a caeaa?eueoiai
cae?enithaaeeny noi?nii c? ni?aaaoi?aie iaoeiaeo i?aoeue. Cia/ia /anoeia
?acoeueoao?a aeena?oaoe?eii? ?iaioe iioae?eiaaia iaeiiin?aii.

Aaoi?ii ii?aoeueiaaii aeaa aeinoaoiuei oi?aa?naeueieo i?aeoiaee aei
?ica’ycoaaiiy ??aiyiue ?ooo aaeie c? ci?iiith caeiaeueiith aei?noe?noth,
ia??aiii??ii ?iciiae?eaieie ianith oa iiaeaoeea?noth iniiae, a oaeiae c
aeene?aoieie aeeth/aiiyie. Iaeei ?c ieo a?oioo?oueny ia canoinoaaii?
noaiaiaaeo ?yae?a, a ae?oaee — ia canoinoaaii? iine?aeiaieo iaaeeaeaiue
I?ea?a. Io?eiaii a caaaeueiiio aeaeyae? oa?aeoa?enoe/ia ??aiyiiy, ia
iniia? yeiai ciaeaeaii ioe?iee /anoio oa e?eoe/ieo nee. I?iaiae?ciaaii
/anoeia? aeiaaeee, ye? iae/ano?oa cono??/athoueny a ?iaeaia?i?e
i?aeoeoe?. Aiae?oe/ii ?ica’ycaii e?aeiao caaea/o ia caeiaeuei? eieeaaiiy
eiinieueii? aaeee, ui neeaaea?oueny c aeaio aeaiaio?a, aeaioiaeaieo ?c
??cieo iaoa??ae?a, iaoiaeii /anoeiai? aeene?aoecaoe??. ?c canoinoaaiiyi
iaoiaeo ii/aoeiaeo ia?aiao??a iiaoaeiaaii aeai?eoie ?ic?aooieo
iiia?a/ieo eieeaaiue nenoaie oa?i??ii c/eaiiaaieo aaeie c? ci?iieie
ia?aiao?aie oa nenoaio, ui aeeth/a? aaeeiaee aeaiaio, ca’ycaiee c
eaieaie o aeaeyae? oaa?aeeo o?e.

Caeiaoaa/ai iaa?oioiaaii iaoiaeieia?th, iiaoaeiaaii onoaiiaeo oa
i?iaaaeaii aenia?eiaioaeueio ia?aa??eo oai?aoe/ieo ?acoeueoao?a
aeena?oaoe?eii? ?iaioe. Cai?iiiiiaaii ieceo oaoi?/ieo ??oaiue i?eno?i?a,
ui cieaeothoue ??ai? a?a?aoe?e ? ciaioothoue iaaaioaaeaiiy iano/eo
eiino?oeoe?e, i?aeaeuothoue aoaeoeai?noue ?iaioe oaoiieia?/ieo iaoei,
iie?ioothoue oiiae ?iaioe ia i?aei?e?inoaao. A?i a?aa aaciina?aaeith
o/anoue o i?iieneiaiio ai?iaaaeaeaii? ?acoeueoao?a ?iaioe.

Aaoi? ae?aaea? aaey/i?noue oa cana?ae/o? nai? aeciaiiy aeieoi?o
o?ceei-iaoaiaoe/ieo iaoe Ci??th Eiia?io-Ieeie? Ieoaeeiae/o oa aeieoi?o
oaoi?/ieo iaoe Oa?/aieo ?aaaio Aaeaioeiiae/o, o yeeo a?i io?eioaaa
iaoeia? eiinoeueoaoe?? i?ae /an aeeiiaiiy aeena?oaoe?eii? ?iaioe.

Ioae?eaoe??. Ca iaoa??aeaie aeena?oaoe?eii? ?iaioe iioae?eiaaii 45
iaoeiaeo i?aoeue, cie?aia, 1 iiiia?ao?th, 16 noaoae a aeo?iaeao ?
ca??ieeao, io?eiaii 7 aaoi?nueeeo naiaeioeoa ia aeiaoiaee, 2 iaoaioe. 19
iaoeiaeo i?aoeue iioae?eiaaii iaeiiin?aii. O iiiia?ao?? ?. ss?ioaae/a ?
E. I. Ci??y “Iaoiaee aiae?co eieeaaiue ? no?eeino?
eiioeioaeueii-aeene?aoieo iaoai?/ieo nenoai” (A?einoie(Iieueua):
A?einoioeueea iie?oaoi?ea, 1997) aaoi?o iaeaaeeoue naiino?eia iaienaiiy
ianooiieo ?icae?e?a: ae?oaee ?icae?e “Caeiaeueii eieeaaiiy aaeie c?
ciiiiei ?iciiae?eii ia?aiao?ia”; o?ao?e ?icae?e “Aiae?c caeiaeueieo
eieeaaiue iaiaeii??aeii? eiionii? eiiniei iaoiaeii /anoeiai?
aeene?aoecaoe??”; nueiiee ?icae?e “I?eeeaae canoinoaaiiy iaoiaeo
oa?aeoa?enoe/ieo ?yaeia aei aiaeico eieeaaiue aeaiaioia iaoaeo?a?eii?
aeoaiai? ia/?”. Ia?oee, /aoaa?oee, i’yoee oa oinoee ?icae?ee aeaii?
iiiia?ao?? iaienai? ni?eueii.

No?oeoo?a i ianya ?iaioe. Aeena?oaoeiy neeaaea?oueny ic anooio, oanoe
?icaeieia, aeniiaeia, nieneo eioa?aoo?e i aeiaeaoeo. Iniiaiee oaeno
aeeeaaeaii ia 256 noi?iieao i aeeth/a? 21 oaaeeoeth oa 89 ?enoieia.
Nienie eioa?aoo?e iaei/o? 245 iaeiaioaaiue. Caaaeueiee inya ?iaioe
noaiiaeoue 266 noi?iiie.

CI?NO ?IAIOE

O anooi? iaa?oioiao?oueny aeooaeuei?noue oaie aeena?oaoe?eii? ?iaioe ?
iiaea?oueny ?? caaaeueia oa?aeoa?enoeea.

O ia?oiio ?icae?e? aiae?co?oueny no/aniee noai i?iaeai noaoeee ?
aeeiai?ee aeene?aoii-iaia?a?aieo iiaeaeae iano/eo eiino?oeoe?e,
cae?enith?oueny iinoaiiaea caaea/ aeine?aeaeaiiy.

Iniaeeaa i?noea o aeine?aeaeaii? aeeiai?ee iaoai?ci?a ? iaoei
a?aeaiaeeoueny aea/aiith eieeaieo yaeu, coiiaeaieo ianoae?noth ?oo?eieo
nee ? nee ei?eniiai iii?o, i?oaeieie oa ?ia?oe?eieie oa?aeoa?enoeeaie
eaiie, iaa??aiiaaaeai?noth iaa?oiaeo aeaiaio?a, iioeaeaie aeaioiaeaiiy ?
iiioaaeo ie?aieo aeaoaeae ? aoce?a oiui. ?ica’ycaiith oe?ieiai eiea
oai?aoe/ieo ? i?eeeaaeieo caaea/ aeeiai?ee iaoai?ci?a ? iaoei i?enay/aii
i?aoe?

A. I. Aanniiiaa, A. E. Aaeoea, Ae. I. Aieeiaa, E. ?. Aoeueoniia,

A. I. Aieoaaioeaaa, I. I. Ai?ioea, O. E. ?aai/aiea, N. A. Eacaea,

O. ?. Eia?einueeiai, N. I. Eiaeaai?eiaa, I. ?. Ei/o?e, I. C.
Eieianueeiai,

I. N. Eiia?iaa, A. I. Eiiiiaiea, N. A. Iaie?aoiaa, I. I. Iiethaeiaa,

A. I. Oa?neeo oa aaaaoueio ?ioeo aaoi??a.

Nooo?aith ia?aaaaith aeene?aoieo ?ic?aooieiaeo iiaeaeae ? oa, ui ?o ?oo
iieno?oueny cae/aeieie aeeoa?aioe?aeueieie ??aiyiiyie, iaoaiaoe/ia
oai??y yeeo o aeinoaoi?e i??? ?ic?iaeaia. Oea cia/ii ni?iuo? aiae?c
eieeaaeueieo i?ioean?a o iaoeiieo aa?aaaoao. ?oo
eiioeioaeueii-aeene?aoieo iiaeaeae iieno?oueny noeoii?noth cae/aeieo
aeeoa?aioe?aeueieo ??aiyiue ? ??aiyiue c /anoeiieie iio?aeieie, ui
cia/ii oneeaaeith? aeine?aeaeaiiy, iniaeeai, ca iayaiino? iae?i?eieo
oaeoi??a. Iacaaaeath/e ia oea, ?icaeyae eiioeioaeueii-aeene?aoieo nenoai
ni?ey? nooo?aiio i?aeaeuaiith oi/iino? ?ic?aooieo aeeiai?/ieo i?ioean?a,
a a ?yae? aeiaaee?a ? ?aeeii iiaeeeaei i?e ?ica’ycaii? aeooaeueieo
caaea/ aeeiai?ee iaoeiieo aa?aaao?a.

Aeine?aeaeaiiy aeeiai?/ieo yaeu, ui aeieeathoue i?ae /an aenieoaoaoe??
aeiaaii??ieo aeaiaio?a iaoei ? nii?oae i?iaiaeyoue, canoiniaoth/e, ye
i?aaeei, oai??th eieeaaiue iaeiiaei??ieo i?oaeieo nenoai. Oai?aoe/i? ?
i?eeeaaei? caaea/? noaoeee ? aeeiai?ee noa?aei?a ? noa?aeiaaeo
eiino?oeoe?e, a oaeiae iaoiaee ?o aeine?aeaeaiiy oe?iei ?icaeyiooi o
i?aoeyo A. A. Ae?enaiae?iaa, ?. I. Aaaaeiaa, N. A. Aa?iooaeia, A. E.
A?aea?iaia, A. A. Aieio?ia, I. A. Aaneeaiea,

?. A. Aieineieiaa, A. ?. Aoey?aa, A. O. Ao?iaa, Aeae. Aeai-Aa?oiaa, E.
I. Ci??y,

N. Eae?neiai. A. ss. Eauai?eiaa, O. A. I?eaeaaeca, A. Iiaaoeueeiai, ss.
A. Iaiiaea, A. N. Iena?aiea, E. E. Iiiiia?ueiaa, TH. I. ?aaioiiaa, I. ?.
?aeai?oeeia,

E. I. ?ic?ia, A. I. N?i?oeeia, A. O. Ni??iiaa, ?. Nieaoeueeiai, I. E.
Ni?oea,

N. I. Oeiioaiea, A. I. O?e?iiaa, TH. A. *a?iooe, A. A. *oaeiianueeiai,

I. I. Oaiioi?eiaa oa aaaaoueio ?ioeo.

Aeey noai?aiiy oi?aa?naeueieo aeai?eoi?a ?ic?aooieo noa?aeiaaeo
eiino?oeoe?e iaea?eueo aoaeoeaiei ? iaoiae ne?i/aiieo aeaiaio?a oa
iaoiae ne?i/aiieo ??cieoeue. Nooo?aeie ia?aaaaaie iaoiaeo ne?i/aiieo
aeaiaio?a ? eiai i?aeoe/ii iaiaiaaeai? iiaeeeaino? aaeineiiaeaiiy
ai?ieneiaoe?? iaa?aeiieo ooieoe?e, c?o/i?noue o a?aooaaii? aaaaoueio
aeae?a e?aeiaeo oiia, iiaeeea?noue aeei?enoaiiy a iaeiiio aeioe?
aeaiaio?a ??ciiiai?oieo oei?a oa ?i. Ia eiai aac? ?ic?iaeaii ?yae
oi?aa?naeueieo i?ia?aiieo eiiieaen?a, na?aae yeeo ne?ae a?aei?oeoe
NASTRAN, ANSYS, ABAQS, COSMOS/M, BEASY, DYCAST/GAC, NI?EIO, ?EIAE oa ?i.
A?eueo?noue c ieo eaaei ocaiaeaeo?oueny c ia/enethaaeueieie nenoaiaie
aeey eiino?othaaiiy, oaeeie ye AutoCAD, CADDS, MEDUSA, ICEM,
Pro/ENGINEER, I-DEAS oa ?i., ui a?aee?eaa? ?aaeuei? iiaeeeaino?
aenieioi/iiai ?ic?aooieo, neioeyoe?? aenieoaoaoe?eieo ?aaeei?a ?
aaoiiaoeciaaiiai i?iaeooaaiiy iaoeiieo aa?aaao?a ? iano/eo
iaoaeieiino?oeoe?e. Iaeiei ?c iaaeeaeaieo /enaeueieo iaoiae?a ? oaeiae
iaoiae iao?eoeue ia?aoiaeo, eio?ee canoiniaaii aaoi?ii.

E??i oeueiai aeey aeacaieo nenoai /anoi canoiniaothoue iaaeeaeai?
iaoiaee: ?aeay-??ooea, Aoaiiaa-Aaeuei?e?ia, iine?aeiaieo iaaeeaeaiue,
ne?i/aiieo ??cieoeue oa ?i. Ia aeaiee /an cia/ii ?icaeiooi
iai?aaiae?oe/i? iaoiaee aeine?aeaeaiiy ? iaoiae R-ooieoe?e. I?e
aeei?enoaii? iaaeeaeaieo iaoiae?a /anoi caeeoa?oueny a?aee?eoei ieoaiiy
i?i aeinyaiooo oi/i?noue. Oeth i?iaeaio iiaeia ?ica’ycaoe ca oiia, ui
iaoiae ? aeaia?/iei, oiaoi aea? ciiao ia/enethaaoe ooeaia cia/aiiy c
iaaeinoa/ath oa iaaeeeoeii.

Oaeo iiaeeea?noue aeathoue iaoiaee oa?aeoa?enoe/ieo ?yae?a ? ooieoe?e
aieeao. Iniiae aeacaieo iaoiae?a, ?ic?iaeai? a i?aoeyo E. I. Ci??y,
canoiniaoaaeeny ? ?icaeaaeeny caiaeii oaeiae: Ae. A. Aaeaeaeii, A. ?.
Aae?inueeei, A. ?. Aaeaanue,

TH. ?. ?na?aei., I. ?. Ni?ieaoei, ?. I. Oaoe??i.

Ia?o? i?aoe? a oeueiio iai?yieo iaeaaeaoue N. A. Aa?iooaeio ?

E. E. Ea?iiyio, ye? ?ic?iaeee iaoiae niaeo?aeueii? ooieoe?? ?
iine?aeiaiino? aeainoi?iii?o ioe?iie aeey ieae/eo /anoio iacaaaioaaeaieo
noa?aeiaaeo nenoai ? Aeea?iaeo cia/aiue. Aeae? a oeueiio iai?yieo
i?aoethaaa O. A. I?eaeaaeca, yeee iiaoaeoaaa aecia/ieee e?aeiaeo caaea/
aeey aeeoa?aioe?aeueieo ??aiyiue ae?oaiai ii?yaeeo o aeaeyae? ?yae?a ca
/anoioiei ia?aiao?ii ? aea?a oi?aa?naeueia ??aiyiiy i?iaeio aaeee
ci?iiiai iiia?a/iiai ia?a??co.

Iaoiae oa?aeoa?enoe/ieo ?yae?a a?oioo?oueny ia ye?nii iiaeo niiniaao
iiaoaeiae caaaeueieo ?ica?yce?a ? oa?aeoa?enoe/ieo aecia/iee?a
a?aeiia?aeieo e?aeiaeo caaea/ o aeaeyae? ?yae?a. Aeacai? niiniae
aacothoueny ia ooiaeaiaioaeuei?e aeanoeaino? ooieoe?? Eio? (ooieoe??
aieeao). Aei ianooiiiai aecia/aiiy ieae/eo /anoio ? e?eoe/ieo cia/aiue
iaaaioaaeaiue i?e aeeaa?aaioe?? oa oeaoa?? canoiniaothoueny aeainoi?iii?
ioe?iee, ui caeaaeaoue a?ae eiao?oe??io?a a?aeiia?aeieo ?yae?a.

O caaaeueiiio aeiaaeeo oa?aeoa?enoe/ia ??aiyiiy iiaeia iiaoaeoaaoe o
aeaeyae?

wmetafile8? ??o??? ???????? ??????? ¦e???

???? ????????????????????.??????1??????    ???
???????&???????????????????` ????? ???&? ?MathType??
????@???????aea ? — oa?aeoa?enoe/iee iieaciee, Ak — eiao?oe??ioe
oa?aeoa?enoe/iiai ?yaeo.

Aeine?aeaeaiiy nenoai c? ci?iiei ?iciiae?eii ia?aiao??a iae/ano?oa
aaco?oueny ia e?i?eiiio aeeoa?aioe?aeueiiio ??aiyii?:

wmetafile8? ??Ae??? ???????? ??????? >(???

???? ?????????????yyy????.??????1?????? A?$???
???????&??yyyy?????Ayyy1/4yyy@$??|?? ???&? ?MathType??`?
???u@th??????eiao?oe??ioe ? i?aaa /anoeia yeiai ? iaia?a?aieie
ooieoe?yie, a p0(x) > 0. Ooieoe??th Eio? K(x, ?) ?ueiai ??aiyiiy
iaceaathoue caeaaeiee a?ae ia?aiao?a ? (? ? [a, b]) ?ica?ycie
a?aeiia?aeiiai iaeii??aeiiai ??aiyiiy L[y] = 0, yeee caaeiaieueiy? oae?
oiiae aeey x = ?:

wmetafile8? ??+??? ???????? ??????? Wth???

???? ?????????????yyy????.??????1??????  @???
???????&??yyyy?????AyyyOyyy???o?? ???&? ?MathType??P?
???u@th??????sse a?aeiii, ooieoe?y Eio? ?nio? oa ? ?aeeiith, i?e/iio
/anoeiaee ?ica’ycie iaiaeii??aeiiai ??aiyiiy (1) iiaeia aecia/aoe ca
oi?ioeith

wmetafile8? ??3??? ???????? ??????? »—???

???? ?????????????yyy????.??????1?????? Aa???
???????&??yyyy?????Ayyy«yyy ??k?? ???&? ?MathType?? ?
???u@th??????Ooiaeaiaioaeueia aeanoea?noue ooieoe?? K(x, ?) ?ieyaa? a
oiio, ui aiia ?acii c ?? iine?aeiaieie /anoeiaeie iio?aeieie ca
ia?aiao?ii ? aei n-1-i? aeeth/ii caaaeaee ooai?th? ooiaeaiaioaeueio
nenoaio ?ica?yce?a ??aiyiiy L[y] = 0; a oiio, aa?o/e aei oaaae (4),
caaaeueiee ?ioaa?ae ??aiyiiy (2) iiaeia iiaoaeoaaoe, iath/e iaeio oeth
ooieoe?th K(x, ?). ?iaooie ooieoe?e Eio? ia iaeeie/io ooieoe?th
Oaa?naeaea K(x,?)??(x-?) ?aceaa?oueny ooieoe??th aieeao aai
ooiaeaiaioaeueiei ?ica?yceii ? caaeiaieueiy?, ye a?aeiii, ??aiyiiy L[y]
= ?(x — ?), ?a ?(x) — aeaeueoa-ooieoe?y Ae??aea.

Ia oe?e iniia? ?ic?iaeaii ye?nii iia? niiniae iiaoaeiae caaaeueieo
?ioaa?ae?a aeeoa?aioe?aeueieo ??aiyiue c? ci?iieie eiao?oe??ioaie, ui
iiaeooue iaoe iniaeeaino? oeio ?iioeuenieo ooieoe?e. Caaaeuei? ?ioaa?aee
inoaii?o caeaaeaoue o?eueee a?ae ooieoe?? aieeao, ?? iio?aeieo oa
oa?aeoa?enoee iniaeeainoae, ui aeoaea ?noioii a caaea/ao noaoeee e
aeeiai?ee eiioeioaeueii-aeene?aoieo nenoai (oiiae ni?yaeaiiy i?e oeueiio
ia aeiaaathoueny).

Aoaeoeaiei iaoiaeii ?ic?aooieo eieeaaiue neeaaeaieo aeiaaii??ieo
eiioeioaeueii-aeene?aoieo nenoai ? oaeiae iaoiae ii/aoeiaeo ia?aiao??a.
?c canoinoaaiiyi ooieoe?e aieeao cai?iiiiiaaii iao?e/iee aa??aio oeueiai
iaoiaeo. Iiaoaeiaaii a?aeiia?aei? iao?eoe? aieeao aei?noeinoae ?
iiaeaoiinoae, a oaeiae ia?ao?aei? iao?eoe?. Cie?aia, anoaiiaeaii c?o/i?
?ic?aooieia? oi?ioee aeey aecia/aiiy eiao?oe??io?a aieeao iiaeaoiino?
nenoai c aeia?eueiei aeiionoeiei nooi?i/anoi-ci?iiei caeiiii ?iciiae?eo
caeiii? aei?noeino?. Iieacaii, ui canoinoaaiiy oeeo oi?ioe ? aoaeoeaiei
? aeiiii?/iei, cia/ii ciaiooth/e iio?aae iaoeiiiai /ano ia AII.

I?ioa, aeei?enoaiiy iaoiaeo oa?aeoa?enoe/ieo ?yae?a ?c canoinoaaiiyi
ooieoe?e aieeao aeiaaa? iiaeaeueoiai ?icaeoeo a iai?yieo eiai
i?enoinoaaiiy aei ?iaeaia?ieo oe?eae.

O ae?oaiio ?icaeie? noi?ioeueiaaii i ?ica’ycaii e?aeiao caaea/o ia
caeiaeuei? eieeaaiiy i?oaeii iia?oi? aaeee c ia??aiii??ii ?iciiae?eaieie
ianith, caeiiith aei?noe?noth, iaaaioaaeaiiyi oa aei?noe?noth iniiae.
E??i oeueiai, aaaaea?oueny, ui nenoaia ia? aeene?aoi? aeeth/aiiy, oae?
ye cina?aaeaeai? iane oa i?oaei? iii?e. Iiaeaeue aaeee iiaeaii ia ?en.
1, aea f(x) – caeiia aei?noe?noue; ?(x) – iiaiiia iana; k(x) –
aei?noe?noue i?oaeii? iniiae; p(x) – iicaeiaaei? iaaaioaaeaiiy; b(x) –
eiao?oe??io ciai?oiueiai a’yceiai oa?oy; Mi, bi, ci – aeene?aoi?
aeeth/aiiy a iaia?a?aiee ?iciiae?e iane, o ciai?oi? oa?oy oa a
aei?noe?noue iniiae, cina?aaeaeai? a oi/eao c eii?aeeiaoaie x?; k0, ?0,
k1, ?1 – eaac?i?oaei? eiao?oe??ioe iii? ? cae??ieaiue; l – aeiaaeeia
aaeee; x, y – eii?aeeiaoi? in?.

Aeine?aeaeaiiy iaeeo caeiaeueieo eieeaaiue nenoaie caiaeeoueny aei
?ica’ycoaaiiy e?aeiai? caaea/? aeey ??aiyiiy:

aea

wmetafile8? ??e??? ???????? ??????? yq2???

???? ?????????????yyy????.??????1??????  A-???
???????&??yyyy?????Ayyy?yyy?-??X?? ???&? ?MathType??`? ???uAy
????ooieoe?? ?22, F22, F4, F02 ? iaaieie eiia?iaoe?yie ooieoe?e aieeao
?(x, ?) ?a ?o iio?aeieo ii x ? ?; a, b, c, d, e caeaaeaoue a?ae
ia?aiao??a nenoaie.

I?ae /an aeaaaeaiiy ??aiyiiy (6) i?eeiyoi, ui ?=0 oa aeei?enoaii
aeanoeaino? ooieoe?e aieeao ?(x, ?), ?i cia/ii ni?inoeei ia?aoai?aiiy. O
aeiaaeeao, ui /anoi cono??/athoueny a ?iaeaia?i?e i?aeoeoe?, ??aiyiiy
(6) nooo?ai ni?iuo?oueny.

Oeyoii a?aeiia?aeieo ia?aoai?aiue io?eiaii ia?o? eiao?oe??ioe
oa?aeoa?enoe/iiai ?yaeo a caieioo?e oi?ii, iai?eeeaae, aeey eiionii?
eiiniei c cina?aaeaeaiith ia a?eueiiio e?ioe? ianith, ia?oee
eiao?oe??io aecia/a?oueny ae?acii

O aeiaaeeo, eiee cina?aaeaeaia iana M ? cia/ii a?eueoith a?ae
?iciiae?eaii? iane aaeee, io?eio?ii oi?ioeo eaaae?aoa aeanii? /anoioe
aeey nenoaie c iaeiei nooiaiai a?eueiino?:

C o?aooaaiiyi i?oaeii-?ia?oe?eieo oa?aeoa?enoee iaeii??aeieo eiionieo ?
eeeiiaeo aaeie aeineiaeaeo?oueny aieea aaiiao?i? i noaoe/ieo
iaaaioaaeaiue ia aeani? /anoioe i oi?ie eieeaaiue iaoai?/ii? nenoaie.

A 2.6-2.7 ?ic?iaeaii iaoiaeeeo aiae?oe/iiai ?ica’ycoaaiiy aiaeia?/ii?
caaea/? aeey eiinie? ci?iiiai iiia?a/iiai ia?a??co c iaiaeii??aeieie
aeanoeainoyie iaoa??aeo. C oe??th iaoith aeei?enoiao?oueny iaoiae
/anoeiai? aeene?aoecaoe??.

Aeaoaeueii ?icaeyaea?oueny iiaeaeue eiionii? eiinie?, ui neeaaea?oueny c
aeaio aeaiaio?a, aeaioiaeaieo ?c ??cieo iaoa??ae?a. Io?eiai? aiaeia?/i?
caeaaeiino? iathoue oi?aa?naeueiee oa?aeoa? ? ? i?eaeaoieie aeey aiae?co
aaaaoiaeaiaioieo aaeie. O i?eeiyo?e iiaeae? noee i?ae eiionaie
aaaaea?oueny ?aeaaeueiei, oiaoi aca?iiiai ia?ai?uaiiy ?o iiaa?oiiue ia
aeieea?.

Aeeoa?aioe?aeuei? ??aiyiiy iaeeo caeiieo eieeaaiue aacianiai? eiinie? c
cae??ieaieie ia i?e cina?aaeaeaieie ianaie caieno?ii o oae caai?e
iaa?iai?e oi?i?

aea, Mi – iana, cina?aaeaeaia a oi/oe? x = xi , yi = y(xi , t) –
ocaaaeueiaia eii?aeeiaoa; ?ij – eiao?oe??ioe aieeao; t – /an.

Iine?aeiaii eiao?oe??ioe oa?aeoa?enoe/iiai ??aiyiiy aecia/athoueny ca

Canoinoaaiiy iaoiaeo aeene?aoecaoe?? aei aiae?co caeiaeueieo eieeaaiue
aaaaoioa?iaiai eiiona, aeeiiaiiai c aeaio aeaiaio?a, aeaioiaeaieo c
??cieo iaoa??ae?a, aeaei iiaeeea?noue io?eiaoe aeia?a iaaeeaeaiiy aei
?acoeueoao?a, ciaeaeaieo ia iniia? oi/ieo caeaaeiinoae aeey
iaeii??aeiiai eiiona. Ii??aiyeueiee aiae?c ?acoeueoao?a ia/eneaiue
ioe?iie iniiaii? /anoioe, io?eiaieo iaoiaeii ooieoe?e aieeao ? iaoiaeii
aeene?aoecaoe??, na?ae/eoue i?i oi?aa?naeuei?noue ? aeinoaoith oi/i?noue
iaoiaeo aeene?aoecaoe??. C? cia/ii iaioeie cao?aoaie i?aoe? oeei
iaoiaeii io?eiaii /ioe?e eiao?oe??ioe oa?aeoa?enoe/iiai ?yaeo, ye?
caaacia/eee oi/i?noue aecia/aiiy iniiaii? /anoioe c iioeaeith, ui ia
ia?aaeuo? 1,5%. Ca aeiiiiiaith iaoiaeo aeene?aoecaoe?? iiaeia
a?aeooeoaaoe ae?oao ? a?eueo aenie? /anoioe a?eueieo eieeaaiue. A?i ?
aeinoaoiuei aoaeoeaiei ? i?e o?aooaaii? oaeeo aeiaeaoeiaeo ia?aiao??a ye
iicaeiaaei? iaaaioaaeaiiy ? i?oaei?noue iniiae. ?ic?iaeai? oaeiae
aeai?eoie ?ic?aooieo eiinieae c eoneiai–noaeeie ia?aiao?aie, ui
a?oioothoueny ia oae?e oi?ioe?:

wmetafile8? ??g??? ???????? ??????? %???

???? ?????????????yyy????.??????1??????  A???
???????&??yyyy?????Ayyyµyyy???U?? ???&? ?MathType????
???u@th??????Oeth oi?ioeo canoiniaaii aei ?ic?aooieo nenoai c
eoneiai-ci?iieie i?oaeii-?ia?oe?eieie oa?aeoa?enoeeaie.

O ?icae?e? 3 iaoiae ooieoe?e aieeao iioe?th?oueny ia ciaoiaeaeaiiy eiiie
i?iaeio i aeineiaeaeaiiy noieeinoi noa?aeiia. Oeae i?aeo?ae a?oioo?oueny
ia iaoaiaoe/iie iiae?aiinoi aeeoa?aioe?aeueieo ??aiyiue, ui iienothoue
eieeaaiiy ? noaoe/i? aeaoi?iaoe?? aaeie. A?aeiia?aei? ??aiyiiy iathoue
iaeei ? oie aea /aoaa?oee ii?yaeie, ci?ii? eiao?oe??ioe, a oaeiae
aeaeueoa-ooieoe?? o i?aa?e /anoei?.

Ia ?enoieo 2 cia?aaeaii iiaeaeue aaeee, yea caeia?oueny iaeii/anii
aeaiia ciai?oi?ie neeaie G ? P, ui ae?thoue o iiia?a/iiio oa
iicaeiaaeiueiio iai?yiao a?aeiia?aeii. Neea ? i?eeeaaeaia aei a?eueiiai
i?aaiai e?ioey noa?aeiy (x = b). E?aee e?iaoeue (x = x1 = a) ? oa?i??ii
iia?oei; a oi/oe? x = x2 ?ici?uaia i?oaeia iii?a c? noaeith aei?noe?noth
c. Caeiia aei?noe?noue noa?aeiy f(x)=EI(x) aecia/a?oueny c o?aooaaiiyi
ci?iiino? iiiaioo ?ia?oe?? iiia?a/iiai ia?a??co aaeee. Aeiaaa?oueny, uia
ooieoe?y f(x)-1 aoea ?ioaa?iaaiith ? aeiaeaoiith ia a?ae??ceo [a, b].

Aiae?c aeaoi?iaoe?? caeio oe??? aaeee caiaeeoueny aei ?ica’ycoaaiiy
??aiyiiy

wmetafile8? ??I??? ???????? ??????? µ???

???? ?????????????yyy????.??????1?????? @????
???????&??yyyy?????Ayyy1/2yyy@??y?? ???&? ?MathType??`?
???u`th??????ca e?aeiaeo oiia

aea L[y] = (fy?)? + Py?; ? — aeaeueoa-ooieoe?y Ae??aea; R — ?aaeoe?y
iii?e.

Aeey i?oaeii? iii?e c aei?noe?noth n aeeiio?oueny caeaaei?noue:

wmetafile8? ??W??? ???????? ??????? ?N???

???? ?????????????yyy????.??????1?????? `????
???????&??yyyy?????Ayyy°yyyA???? ???&? ?MathType??`?
???u@th???????ica’ycie caaea/? (14) — (16), iaea?aeaiee iaoiaeii
ooieoe?? aieeao, aea? iiaeeea?noue caaacia/eoe aeinoaoith oi/i?noue
?ic?aooieo ia no?ee?noue oaeeo aenioieo eiino?oeoe?e, ye aaae?, uiaee,
aaooe oiui.

?icaeyaea?oueny ?ic?aooieiaa iiaeaeue iaeii??aeiiai eiinieueiiai eiiona,
iaaaioaaeaiiai neeaie aeanii? aaae (?en. 3), aea x — iicaeiaaeiy a?nue
eiinie?; R, r — ?aae?one ieaeiuei? ? aa?oiuei? iniia; H — aenioa eiiona;
z(x) — ci?iiee ?aae?on iiia?a/iiai ia?a??co; I(x) — ci?iiee iiiaio
?ia?oe?? iiia?a/iiai ia?a??co. Aaiaeeoueny ia?aiao? ca?aeiino? k =
(R-r)/H, oiae?

wmetafile8? ??[??? ???????? ??????? Q???

???? ?????????????yyy????.??????1??????  ????
???????&??yyyy?????AyyyOyyy@??o?? ???&? ?MathType??P?
???u@th??????Ia’?i noa?aeiy oa inueiaee iiiaio ?ia?oe?? eiai
iiia?a/iiai ia?a??co aecia/a?ii ca oi?ioeaie:

?acoeueoaoe ia/eneaiiy ieaei?o ioe?iie e?eoe/iiai iaaaioaaeaiiy aeey
iaaieo cia/aiue a?aeiioaiiy r/R iaaaaeaii o oaae. 1.

Oaaeeoey 1

r/R 0 0,1 0,2 0,3 0,4 0,5 0,6 0,7 0,8 0,9 0,99

?- 8,933 7,729 7,159 6,896 6,808 6,831 6,930 7,082 7,275 7,398 7,72

Aeey iiaiiai eiiona (r/R>0) ? aeey oeee?iae?a io?eiai? aa?oino?
ocaiaeaeothoueny c a?aeiieie. Iaoiae ooieoeie aieeao iioe?th?oueny ia
?ica’ycoaaiiy e?aeiai? caaea/? aeey eiioeioaeueii-aeene?aoii? iaeii- aai
aeaiia?aiao?e/ii? i?oaeii? nenoaie c? ci?iieie oa?aeoa?enoeeaie
iiia?a/iiai ia?a??co oa ci?iiei inueiaei iaaaioaaeaiiyi. A ?acoeueoao?
io?eio?oueny oa?aeoa?enoe/ia ??aiyiiy, c yeiai iiaeia aecia/eoe aeani?
/anoioe, e?eoe/i? iaaaioaaeaiiy ca Aeea?ii, a oaeiae aeine?aeaeoaaoe
aieea inueiaeo iaaaioaaeaiue ia /anoioe a?eueieo eieeaaiue.

?ic?aooieiao iiaeaeue aeine?aeaeoaaii? eiinie? iiaeaii ia ?en. 4.

I?ae /an ?ica’ycoaaiiy caaea/? aeei?enoaii iicia/aiiy: G i H —
eiina?aaoeaia ? ne?aeeoth/a neee, cina?aaeaeai? ia a?eueiiio e?ioe?
eiinie?; M — cina?aaeaeaia iana, cae??ieaia ia a?aenoai? x1 a?ae i?noey
cauaieaiiy; ?0 — iiiaio ?ia?oe?? ia?a??co, ?icoaoiaaiiai aaciina?aaeiuei
a?ey iii?e; m0 — iiaiiia iana, aecia/aia aeey o??? ae iicaeiaaeiuei?
eii?aeeiaoe noa?aeiy, ui ? ia?aiao? ?0.

A ?acoeueoao? ?ica’ycaiiy e?aeiai? caaea/? ia caeii? eieeaaiiy eiinie?,
iaaaioaaeaii? cina?aaeaeaieie neeaie G i H, io?eiai? eiao?oe??ioe
oa?aeoa?enoe/iiai ?yaeo:

aea

I?e??aithth/e aei ioey eiao?oe??io A0 ?yaeo, io?eio?ii ni?aa?aeiioaiiy

aea ? — ia?aiao? eiioniino? (? = l/H).

Iaeiaioee ei??iue ??aiyiiy (28) aea? cia/aiiy e?eoe/iiai iaaaioaaeaiiy
ca Aeea?ii.wmetafile8? ??g????????????? ??????? ?`???

???? ?????????????yyy????.??????1?????? `@???
???????&??yyyy?????Ayyy·yyy????? ???&?
?MathType??`????&??yyyy????????’yy?????

Ia iniia? ?ic?iaeaii? iaoiaeeee aeaoaeueii ?icaeyiooi iiaeaeue, ooai?aio
aa?oeeaeueiei noa?aeiai, anoaiiaeaiei ia oa?i??ii-i?oaei?e iii?? ?
iaaaioaaeaiei neeaie aeanii? aaae. Nenoaio eii?aeeiao ?icoaoiaaii oae,
ui ?? ii/aoie ?ici?uaiee ia a?eueiiio e?ioe? noa?aeiy. Oea aea?
iiaeeea?noue cia/ii ni?inoeoe oa?aeoa?enoe/ia ??aiyiiy.

E?aeiao caaea/o noi?ioeueiaaii o aeaeyae?

wmetafile8? ??3/4??? ???????? ??????? 1/4???

???? ?????????????yyy????.??????1?????? A ???
???????&??yyyy?????Ayyy?yyy`??y?? ???&? ?MathType??`?
???u@th??????wmetafile8? ??W??? ???????? ??????? D???

???? ?????????????yyy????.??????1?????? A????
???????&??yyyy?????Ayyy?yyy@??y?? ???&? ?MathType??`?
???u@th??????Eiao?oe??ioe oa?aeoa?enoe/iiai ?yaeo (31) ?
oaeaeeica?aeieie noaiaiaaeie ?yaeaie, oiio aeey aeeiiaiiy ?iaeaia?ieo
?ic?aooie?a aeinoaoiuei o?aooaaoe aeaa-o?e /eaie. Aeaa ia?o? ei?ai?
caaaeaiiai ??aiyiiy ia/eneai? ?oa?aoe?eiei iaoiaeii ? aeathoue ia?oo oa
ae?oao aeani? /anoioe nenoaie.

C iaoith aeine?aeaeaiiy iano/eo iaoaeieiino?oeoe?e, ui neeaaeathoueny c
aeae?eueeio naeoe?e, aeaioiaeaieo o aeaeyae? noa?aei?a aai oa?i,
oa?i??ii c’?aeiaieo i?ae niaith, o ?icaeiei 4 ?ic?iaeaii iaoiaeeeo
?ic?aooieo a?eueieo eieeaaiue nenoaie oa?i??ii c/eaiiaaieo aaeie
Oeiioaiea. I?oaeii-?ia?oe?ei? oa?aeoa?enoeee aeaiaio?a (naeoe?e) o
a?eueoino? aeiaaee?a caeaaeaoue a?ae iicaeiaaei?o eii?aeeiao.
?aoe?iiaeueiith ?ic?aooieiaith iiaeaeeth oaeeo aeaiaio?a ? nooe?eueiee
i?yiie?i?eiee noa?aeaiue, aeey yeiai ca?aeii c oai???th aaeie N. I.
Oeiioaiea a?aoiaothoueny aeaoi?iaoe?? cnoao oa ?ia?oe?y iaa?oaeueiiai
?ooo iiia?a/ieo ia?a??c?a. Iano/? iaoaeieiino?oeoe?? a i?ioean?
aenieoaoaoe?? ia?aaaaeii ia?aaoaathoue i?ae ae??th noaoe?iia?ieo
aeeiai?/ieo iaaaioaaeaiue. Oiio caiia?aaiiy ?aciiainiei yaeuai, a oaeiae
anaa?/iee aiae?c onoaeaieo aeiooaieo eieeaaiue aeaieo nenoai ia?
iniaeeaa i?aeoe/ia cia/aiiy.

Aenieo aoaeoeai?noue ?ic?aooieo aa?iii?/ieo eieeaaiue aaaaoii?ie?oieo
noa?aei?a caaacia/o? iaoiae ii/aoeiaeo ia?aiao??a. Iaeiae, ca iayaiino?
oa?i??ieo c’?aeiaiue naeoe?e canoinoaaiiy oeueiai iaoiaeo ia? iaai?
iniaeeaino?.

I?iiiio?oueny ocaaaeueiaia iaoaiaoe/ia iiaeaeue ? aeai?eoi ?ic?aooieo
a?eueieo eieeaaiue iaoai?/ii? nenoaie, cia?aaeaii? ia ?en. 5, aea l1,
l2, …, ln-1 — aeiaaeeie naeoe?e neeaaeaii? iaoaeieiino?oeoe??; m1, m2,
…, mn — iane oaa?aeeo o?e, aei?noei ca’ycaieo c inyie c/eaioaaeueieo
oa?i???a; cy1, cy2, …, cyn — aei?noeino? i?oaeieo iii? o
aa?oeeaeueiiio iai?yi?; x1, x2, …, xn-1 — eieaeuei? iicaeiaaei? in?
aeaiaio?a nenoaie; w1, w2, …, wn-1 — i?iaeie naeoe?e eiino?oeoe??.

Aeey eiaeii? c ae?eyiie ieiuo Ai ? inueiaee iiiaio ?ia?oe?? Ii
iiia?a/iiai ia?a??co, eiao?oe??io ki, ca aeiiiiiaith yeiai
a?aoiaothoueny aeaoi?iaoe?? cnoao, ona?aaeiaio aonoeio iaoa??aeo ?i ?
inueiao noeneath/o neeo Pi aoaeaii aaaaeaoe iaia?a?aieie ooieoe?yie
aac?ici??ii? eii?aeeiaoe ?i = xi / li.

C o?aooaaiiyi aeaoi?iaoe?e caeio oa cnoao caieno?ii aeeoa?aioe?aeuei?
??aiyiiy iiia?a/ieo eieeaaiue naeoe?e:

aea E, G — iiaeoei i?oaeiino? iaoa??aeo ia?oiai ? ae?oaiai ?iaeo; ?? —
eoo iaoeeo aeioe/ii? aei c?aiooi? in? eaiee a?ae ae?? caeiaeueieo
iiiaio?a; Ii, Qi — caeiaeueiee iiiaio ? iiia?a/ia neea, ye? aeieeathoue
o ia?a??c?, ia?iaiaeeeoey?iiio aei iacaeaoi?iiaaii? in? eiino?oeoe??; t
— /an.

?ioaa?oth/e a?aeiia?aeio (32) nenoaio cae/aeieo aeeoa?aioe?aeueieo
??aiyiue c? ci?iieie eiao?oe??ioaie, aecia/a?ii aiie?ooaei? ooieoe??
aaiiao?e/ieo ? neeiaeo ia?aiao??a o aeia?eueiiio ia?a??c? naeoe?e
iano/i? eiino?oeoe?? ca cia/aiiyie oeeo ia?aiao??a ia ii/aoeo aeaii?
naeoe??. Oi?ie eieeaaiue nenoaie ?ic?aoiao?ii oeyoii /eneiaiai
?ioaa?oaaiiy ca ii/aoeiaeo oiia, ui a?aeiia?aeathoue aecia/ai?e aeani?e
/anoio?.

?icaeyiooa iaoaiaoe/ia iiaeaeue aea? iiaeeea?noue aiae?coaaoe a?euei?
eieeaaiiy nenoaie oa?i??ii c/eaiiaaieo aaeie Oeiioaiea c aeia?eueii
ci?iieie i?oaeii-?ia?oe?eieie oa?aeoa?enoeeaie.

Iiaoaeiaaiee aeai?eoi ?ic?aooieo ? aeinoaoiuei c?o/iei o /eneia?e
?aae?caoe?? ? iiaea aeei?enoiaoaaoeny a nenoaiao aaoiiaoeciaaiiai
i?iaeooaaiiy iano/eo iaoaeieiino?oeoe?e aeey aecia/aiiy a?aeiia?aeieo
aeeiai?/ieo neeiaeo ? aeaoi?iaoe?eieo oa?aeoa?enoee, c iaoith
caaacia/aiiy ?aoe?iiaeueieo ia?aiao??a /anoioieo niaeo??a, a oaeiae oi?i
aeaoi?iaoe?eieo eieeaaiue.

A i. 4.2 iieacaii, ui iaoiae ooieoeie aieeao ? aoaeoeaiei caniaii
?ica’ycoaaiiy caaea/ i?i ?aaeiaeueii eieeaaiiy i?oaeii? eoei, yei
caiaeyoueny aei e?aeiai? caaea/? aeey cae/aeiiai aeeoa?aioeiaeueiiai
?iaiyiiy ae?oaiai ii?yaeeo ci ciiiieie eiao?oe??ioaie:

I?ney a?aeie?aieaiiy ci?iieo iaea?aeaii e?aeiao caaea/o:

A i. 4.3. i?aoe? ?ica’yco?oueny e?aeiaa caaea/a ia inaneiao?e/ii
iiia?a/i? eieeaaiiy e?oaei? ieanoeie, cauaieaii? ii eiioo?o i iia?oi? ia
i?oaeio iniiao c cina?aaeaeaieie a oeaio?i oa ia eiei iaaiiai ?aaeiona
ianaie (?en. 6). Aeaaaeaii o caieiooiio aeaeyaei oa?aeoa?enoe/ia
?iaiyiiy.

Ooo ? aeae? aeei?enoiaothoueny oaei iicia/aiiy: w = w(r) – ooieoeiy
i?iaeio; r – ?aaeiaeueia eii?aeeiaoa,

0 ? r ? R; R i h – ?aaeion i oiaueia ieanoeie,

? — aonoeia iaoa?iaeo ieeoe; D – oeeeiiae?e/ia aei?noeinoue; ? —
eiaoioei?io Ioanniia; k – eiaoioei?io i?oaeiinoi iniiae; ?i – ia?aiao?e
aeene?aoieo aeeth/aiue o aeaeyaei cina?aaeaeaieo ian Mi i i?oaeieo iii?
c aei?noeinoyie ci, ?iciiuaieo ia eieao ?aae?ona r = ri; ?(r) –
aeaeueoa-ooieoeiy Aei?aea; ?2 — ia?aiao? /anoioe; ? — ooieoeiy
Oaainaeaea; s – /enei aeene?aoieo aeeth/aiue.

Aeineiaeaeaiiy inaneiao?e/ieo eieeaaiue ieanoeie caiaeeoueny aei
?ica’ycoaaiiy e?aeiai? caaea/i:

wmetafile8? ??w??? ???????? ??????? ¦0???

???? ?????????????yyy????.??????1??????  A???
???????&??yyyy?????Ayyy3/4yyy???TH?? ???&? ?MathType??
???u@th??????c e?aeiaeie oiiaaie:

w(R) = 0, w'(R) = 0,

aea:

Oi?ioee (38), (39) aeicaieythoue aecia/eoe eiao?oe??ioe
oa?aeoa?enoe/iiai ??aiyiiy ye yai? ooieoe?? ia?aiao??a A, A, N. Caaaeyee
oeueiio iiaeia, cie?aia, canoiniaoth/e iaei?ino?o? aeainoi?iii? ioe?iee,
iiaoaeoaaoe ?ic?aooieia? ?iaeaia?i? oi?ioee aeey ieae/eo /anoio.

O i?yoiio ?icae?e? aeine?aeaeaii eieeaaiiy aeaiaio?a cenoaie iiaea/?
aeaeo?iaea, ui aeieeathoue aiane?aeie aeaeo?iaeeiai?/ieo yaeu a
aeaeo?e/i?e aeoc?. Aeacai? eieeaaiiy cieaeothoue ye?ni? iieacieee
nenoaie aaoiiaoe/iiai ea?oaaiiy iiaea/? aeaeo?iaea (CAEIA), iia??oothoue
eiai aeeao/?noue ? noaa?euei?noue ?iaioe.

Iniiaiith ooieoe??th NIA ? cae?eniaiiy inueiaiai ia?ai?uaiiy aeaeo?iaea
ca?aeii c neaiaeii, ui iiaea?oueny (NAEIA). Aeeiiaa/eie aeaiaioaie
nenoaie iiaea/? ? aeaeaoi, yeee /a?ac /a?a’y/io oa coa/anoo ia?aaea/o
ca’ycaiee c ?aeeith. Eieiia c ?aiith ? aeaeo?iaeii iai?aaey?oueny a
iinooiaeueiiio ?on? ca aeiiiiiaith nenoaie iai?yiieo ?ieee?a. Oey
nenoaia c??aiiaaaeo?oueny niaoe?aeueieie i?ioeaaaaie.

Eieeaaiiy aeaiaioia NIA i /anoeiai aeaeo?iaea iniaeeai aino?i i?iyaeeeny
i?ae /an aenieoaoaoe?? ia/ae iieuenueeiai ae?iaieoeoaa 50 MVA, a yeeo
canoiniaothoueny aeeaeeuei? o?ainoi?iaoi?e i?aeaeuaii? iiooaeiinoi 25/30
IAo. I?aeaeuaia iiooaei?noue o?ainoi?iaoi??a i?ecaiaeeoue aei c?inoaiiy
aoaeoeaiiai no?oio aeoae ? caeaaeieo a?ae oeueiai no?oio aiie?ooae
aeaeo?iaeeiai?/ieo nee. Aeaeo?iaeeiaii/ii yaeua, ui aeieeathoue a
aeaeo?e/iie aeoci noaeaieaaeeueii? ia/i, i?ecaiaeyoue aei aeieeiaiiy
iioaineaieo iaoaii/ieo eieeaaiue nenoaie iiaea/i aeaeo?iaea. Aianeiaeie
oeueiai nooo?ai iiai?oothoueny oiiae aaoiiaoe/iiai ea?oaaiiy aeaiith
nenoaiith, cieaeo?oueny noaaieueiinoue ?iaioe ia/i. Oeiaeeeaee aieea
aia?aoeie, aeeeeeaieo aeaeo?iaeeiaii/ieie neeaie, i?iyaey?oueny o
aeaeyaei aoiiiiai ?oeioaaiiy i?iaiaeieeia aaeeeiai no?oio (aeaeo?e/ieo
oei), iai?yiieo eieii, aeaiaioia i?eaiaeo, a oaeiae o aeaeyaei iieiiie
aeaeo?iaeia, ui cia/ii caieueoo? ieoiii aeo?aoe inoaiiio. Iaoa?iae
ceaiaiiai aeaeo?iaea nooo?ai ciiith? oiii/iee neeaae aeieaaeaiiai
iaoaeo.

I?ae /an aeine?aeaeaiue, i?iaaaeaieo ia ia/ao caaiaeo «Aa?oaaa»,
anoaiiaeaii, ui aeaeo?iaee aeeiiothoue ye iicaeiaaei?, oae ? iiia?a/i?
eieeaaiiy. Iicaeiaaei? eieeaaiiy iaeeaaeathoueny ia aacia?a?aiee
cai?ioiuei-iinooiaeueiee ?oo eieiie, eio?ee a?aei?aoeueiao?oueny
nenoaiith aaoiiaoe/iiai ea?oaaiiy iiaea/ath aeaeo?iae?a ? iniaeeai
ia?inoa? i?ae /an ioneo aai coieiee ia/?.

Neeaaeiee oa?aeoa? eieeaaiue aeaeo?iaea, aaia?iaaieo iiae /an i?aoei
ia/i, a oaeiae neeueia caeaaeiinoue iiae iniiaieie i?e/eiaie eieeaaiue
oaeeie ye: aeaeo?iaeeiaii/ii neee no?oio aeoae i ?ooe nenoaie
aaoiiaoe/ii? ?aaoeyoe?? iiaea/i, yei ?aaaothoue ia ciiie no?oio aeoae,
aeiaaa? iaeii/anii ?a?no?aoe?? eieeaaiue, aaee/eie no?oio aeoae i ciiie
iaa?oiai? oaeaeeinoi i?eaiaeiiai aeaeaoia NIA.

Iayai?noue oeeo eieeaaiue aeaco? ia iaiao?aei?noue o?aeooaaiiy nenoaie
iiaea/? aeaeo?iaea ye aaaaoiia?aiao?e/ii? i?oaeii-?ia?oe?eii? nenoaie.
O?aaa iiaee?aneeoe, ui a aeinooiiie eioa?aoo?i ia caoaaaeaii, uia ?aiioa
i?e i?iaeooaaii? NAEIA aoei acyoi aei oaaae i?oaeii-iia?oeieii
aeanoeainoi NIA.

Oa?aeoa?i? ?acoeueoaoe aeayeeo aei??thaaiue eieeaaiue ia ae?th/?e ia/?
cia?aaeai? ia ?en. 7, aea: DV, DH — aa?oeeaeueii ai?eciioaeueii
eieeaaiiy c a?aooaaiiyi ciii no?oio aeoae eooiaii oaeaeeinoi i?eaiaeiiai
aeaeaoia -n (t), ia?aiiuaiiy eieiie NIA (D — ?oo aiec, G — ?oo aaa?o).

O ca’yceo c aeeeaaeaiei aeieea? iio?aaa oai?aoe/iiai aiaeico
eieeaaeueieo i?ioeania o nenoaii iiaea/i aeaeo?iaea c iaoith aea/aiiy
aieeao ?? ia?aiao?ia ia aeeiaii/ii oa?aeoa?enoeee i ioeiiee
iaaaioaaeaiinoi iano/i? iaoaeieiino?oeoei? oa iioeo aiaeiiaiaeaeueieo
aeaiaioia.

Iiaoaeiaaii iaoaiaoe/io iiaeaeue aeey aeineiaeaeaiiy iaoaii/ieo
eieeaaiue o nenoaii iiaea/i aeaeo?iaea. I?eaiaeiee iaoaiici oa iano/a
iaoaeieiino?oeoeiy c cae?iieaiei aeaeo?iaeii ?icaeyaea?oueny ye ?aeeia
eiioeioaeueii-aeene?aoia nenoaia, cia?aaeaia ia ?en. 8, aea: m1, J1 —
iana i oeaio?aeueiee iiiaio iia?oei? eieiie, anoaiiaeaii? c iiaeeeainoth
aa?oeeaeueiiai ia?aiiuaiiy ocaeiaae iai?yiieo; m11 — caaaeaia iana
i?eaiaeo; m12 — iana i?ioeaaae; m2, J2 — iana i oeaio?aeueiee
iiiaio iia?oei? aeaeo?iaea; c?1 — aei?noeinoue iii? eieiie a
iaa?oaeueiiio iai?yii; c10 — caaaeaia aei?noeinoue iaoaii/ii?
oa?aeoa?enoeee i?eaiaeiiai aeaeaoia; c11 — caaaeaia aei?noeinoue
aaeii?iaiaeo; c12 — aei?noeinoue ia?aeeiooiai /a?ac aeie eaiaoa; c? —
eooiaa aei?noeinoue aocea c’?aeiaiiy aeaeo?iaea c iano/ith eiinieeth.
Iano/a eiinieue neeaaea?oueny c aeaio aeieyiie aeiaaeeiaie l1 i l2;
ia?oa c ieo ia? ciiiiee, a ae?oaa – noaeee iiia?a/iee ia?a?ic. Ineieueee
aei?noeinoue c’?aeioaaeueiiai aocea c? ? cia/ii iaioith o ii?iaiyiii ci
caeiieie aei?noeinoyie eiiniei oa aeaeo?iaea, aeaeo?iae ?icaeyaea?ii ye
oaa?aea oiei c oeaio?ii aaae o oi/oei N, aiaeaeaeaiie aiae ini eiiniei
ia aiaenoaiue a. Iicaeiaaeii ini aeieyiie eiiniei c ii/aoeaie ia ?o
eiaeo eiioeyo iicia/a?ii ye o1 i o2; i?iaeie aeieyiie — ye w1 i w2;
eii?aeeiaoe oaa?aeeo oie – ye y11, y12, ?. Aaaaea?oueny, ui a i?ioeani
ieaaeaiiy iaoaeo ia aeaeo?iae aei? aa?oeeaeueia neea P(t).

C o?aooaaiiyi aeaoi?iaoeie caeio oa cnoao, a oaeiae iia?oei?
iinooiaeueiiai i iaa?oaeueiiai ?ooo aeaiaioa?ieo aeieyiie caienaii
?iaiyiiy iiia?a/ieo eieeaaiue iano/i? iaoaeieiino?oeoei?:

aea E, G — iiaeoei i?oaeiinoi iaoa?iaeo ia?oiai i ae?oaiai ?iaeo; ? —
aonoeia iaoa?iaeo; Ai, Ii — ieiua i inueiaee iiiaio iia?oei?
iiia?a/iiai ia?a?ico; ?i — eiaoioei?io, ca aeiiiiiaith yeiai
a?aoiaothoueny aeaoi?iaoei? cnoao caiaeii c oai?i?th aaeie N. Oeiioaiea;
?i — eoo iaoeeo aeioe/ii? aei ciaiooi? ini eiiniei aiae aei?
caeiaeueiiai iiiaioo; Mi, Qi — caeiaeueiee iiiaio i iiia?a/ia neea, yei
aeieeathoue o ia?a?ici, ia?iaiaeeeoey?iiio aei iacaeaoi?iiaaii? ini
eiino?oeoei?; ?i = oi / li — aiaeiinia iicaeiaaeiy eii?aeeiaoa: t — /an.

Aeey i?eeeaaeo ?icaeyiooi nenoaio iiaea/i aeaeo?iaea aeaeo?iaeoaiaii
ia/i, ui ia? oaei iaoaii/ii oa?aeoa?enoeee: m1=5398 ea; J1=7667 ea?i2;
m11=345700 ea; m12=10621 ea; c10=6,08?108 I/i; c11=5,02?107 I/i;
c12=3,06?107 I/i; c1?=2,00?107 I?i/?aae; c?=2,00 I?i/?aae; l1=2,35i;
l2=2,95i; E=2,1?105 IIa; G=8,1?104 IIa; ?=7800 ea/i3; ?1=?2=0,45;
A1=0,1060-0,01503o1 i2; A2=0,07065 i2; I1=3,576?10-5-7,609?10-6×1 i4;
I2=1,788?10-5 i4; iana, oeaio?aeueiee iiiaio ?ia?oe?? i iieiaeaiiy
oeaio?a aaae a?aoioiaiai aeaeo?iaea caeaaeaoue aiae eiai aeiaiao?a oa
aeiaaeeie. sseui aeiaaeeia aeaeo?iaea ciaoiaeeoueny a iaaeao 1,5 — 4,5
i, oi aeacaii ia?aiao?e iaaoaathoue cia/aiue: m2 = 665,3 — 1995,8 i; J2
= 124,7 — 3367,8 ea?i2; a =0,75 — 2,25 i.

Aecia/aii cia/aiiy naie ieae/eo /anoio aieueieo eieeaaiue iaoai?/ii?
nenoaie, ui aiaeiiaiaeathoue ?iciei aeiaaeeiai aeaeo?iaea. Iiaeaii
aiieiooaeii ooieoe?? ia?aiiuaiue i caeiaeueieo iiiaioia iano/ii eiiniei,
?ic?aoiaaii aeey i’yoe ieae/eo aeanieo /anoio nenoaie c aeaeo?iaeii
iaeneiaeueii? iane (m2=1995,8ea). sse iieacothoue io?eiaii ?acoeueoaoe,
/anoioiee niaeo? ?icaeyiooi? iaoai?/ii? nenoaie ia? aenieo uieueiinoue.
Cie?aia, ia?oa oa ae?oaa, a oaeiae i’yoa oa oinoa aeanii /anoioe
i?aeoe/ii caiaathoueny. Iana aeaeo?iaea nooo?ai aieeaa? ia cia/aiiy
o?ueio ieae/eo /anoio i iaeaea ia aieeaa? ia aieueo aeniei /anoioe.
?acoeueoaoe niaeo?aeueiiai aiaeico iieacothoue, ui a ?aaeueieo nenoaiao
iiaea/i aeaeo?iaea aeaeo?iaeoaiaeo ia/ae niinoa?iaathoueny eieeaaiiy c
/anoioaie, aeecueeeie aei 0,5 Aoe oa 5 Aoe. Ii?iaithth/e oei cia/aiiy c
?ic?aooieiaeie oa?aeoa?enoeeaie /anoioieo niaeo?ia, iiaeia c?iaeoe
aeniiaie i?i oa, ui o nenoaii iiaea/i aeaeo?iaea iiae /an ?iaioe
iiaeooue aeieeaoe ?aciiainii yaeua.

Iiaeaii i?eeeaaee caeaaeiinoae aiieiooae ia?aiiuaiue i?aaiai eiioey
eiinie? (?en. 9), a oaeiae aa?oeeaeueieo ia?aiiuaiue eieiie i
caeiaeueiiai iiiaioo a eiiciei aaciina?aaeiuei aiey iinoey cauaieaiiy
aiae /anoioe aeiooaieo eieeaaiue, cao?aieo iaaaioaaeaiiyi iaeeie/ii?
aiieiooaee. Aeiaaeeio aeaeo?iaea i?eeiaee ?iaiith 3i (m2=1330,5 ea). sse
aeaeii c iaaaaeaieo a?aoieia, eieeaaeueii yaeua nooo?ai i?iyaeythoueny o
aeaeyaei aia?aoeie aeaeo?iaea oa aeeiaii/ieo coneeue a iano/ie
iaoaeieiino?oeoe??. Aiieiooaee ia?aiiuaiue eieiie o ciii ieae/eo /anoio
(aei 3 Aoe) ? iacia/ieie, ui naiae/eoue i?i iaaeioeieueiinoue
aeei?enoaiiy aeaiiai ia?aiiuaiiy ye aoiaeiiai neaiaeo aeey nenoaie
ea?oaaiiy i?eaiaeiei iaoaiiciii. Aieueo aoaeoeaiei neiae aaaaeaoe
aeei?enoaiiy c oei?th iaoith aaee/eie caeiaeueiiai iiiaioo a iano/ie
eiiniei aai aaee/eie ia?aiiuaiiy aeaeo?iaea, ui iiaeoaa?aeaeo?oueny
aeaeyaeii aiieiooaeieo ooieoeie. Caoaaaeeii, ui aa?oeeaeueia ia?aiiuaiiy
aeaeo?iaea oinii iia’ycaia ci cia/aiiyi no?oio aeaeo?e/ii? aeoae, yea
eaaei aiaeneiaeeiao?oueny a i?ioeani ?iaioe ia/i.

Iiaoaeiaaia iaoaiaoe/ia iiaeaeue aea? iiaeeeainoue aiaeicoaaoe ye
aieueii, oae i aeiooaii eieeaaiiy iano/i? eiino?oeoe?? nenoaie iiaea/i
aeaeo?iaea c o?aooaaiiyi ciiie i?oaeii ?ia?oe?eieo oa?aeoa?enoee c
aeiaaeeiith. Cai?iiiiiaaiee aeai?eoi ?ic?aooieo, ui a?oioo?oueny ia
/eneiaiio iioaa?oaaiii ?iaiyiue aiieiooaeieo ooieoeie i canoinoaaiii
iaoiaeo ii/aoeiaeo ia?aiao?ia, ? aeinoaoiuei aoaeoeaiei o i?aeoe/iie
?aae?caoe?? i iiaea aooe aeei?enoaiei a nenoaiao aaoiiaoeciaaiiai
i?iaeooaaiiy noaeaieaaeeueieo ia/ae.

O oinoiio ?icae?e? i?iaiaeeoueny aenia?eiaioaeueia aeine?aeaeaiiy
aeeiai?/ieo oa?aeoa?enoee eiioeioaeueii-aeene?aoieo iiaeaeae iaoiaeii
?iioeueniiai cao?aiiy oa iaoiaeaie ?aciiainieo ? a?eueieo eieeaaiue.

Noai eiino?oeoe?e aai ?o aeaiaio?a iiaeia ioe?ithaaoe oeyoii anaa?/iiai
aenia?eiaioaeueiiai aeine?aeaeaiiy a?aeaoeo eiino?oeoe?? ia caaeaia
cao?aiiy. Iaoiaeeea aeine?aeaeaiiy aeiae?a?oueny oaeei /eiii, uia aiia
aoea iaea?eueo i?eaeaoiith aeey aiae?co aeaiiai ia’?eoo. Ia iniia?
aea/aiiy ?acoeueoao?a ae?? cao?aiiy iiaeia aiai?eoe i?i i?e/eio, ui
aeeeeea? iii?/ai? iane?aeee, oa a?aeooeoaaoe caeaaeiino? i?ae
aeeiai?/ieie ia?aiao?aie ? noaiii eiino?oeoe??. Eiee aiae?cothoueny
aeeiai?/i? aeanoeaino? eiino?oeoe?? oa ?o ci?ia a /an?,
?icaeyaeathoueny, ia?o ca ana, /anoioe, oi?ie ? caoooaiiy a?eueieo
eieeaaiue. Ca ci?iaie oeeo ia?aiao??a iiaeia io?eioaaoe ?ioi?iaoe?th i?i
noai eiino?oeoe??. Oea iiynith?oueny oei, ui cia/aiiy caaeaieo
aeeiai?/ieo ia?aiao??a aaciina?aaeiuei iia’ycai? c ianith ? aei?noe?noth
eiino?oeoe??.

*anoioe a?eueieo eieeaaiue ? nooi?iue caoooaiiy ? aeiaaeueieie
oa?aeoa?enoeeaie nenoaie, oiio eiino?oeoe?th iiaeia ?aeaioeo?eoaaoe ia
iniia? ?o aei??thaaiiy o aoaeue-yeiio i?noe? e??i aoceiaeo oi/ie.
Iaiao?aeii a?aecia/eoe, ui oe? ia?aiao?e aecia/athoueny aeey aa?oei
aiie?ooaeii-/anoioii? oa?aeoa?enoeee eiino?oeoe??. Aeani? oi?ie
aecia/athoue ca cia/aiiyie aiie?ooae eieeaaeueiiai i?ioeano.

Onoaiiaeo aeey aeine?aeaeaiiy /anoio ? oi?i caeiieo eieeaaiue
eiinieueieo aaeie ?aciiainiei iaoiaeii iiaeia ?icaeyaeaoe ye nenoaio,
ui ia? aeaa nooiai? a?eueiino?. Oey nenoaia ia? aea? aeani? /anoioe: ?1
— aeecueea aei /anoioe a?eueieo eieeaaiue aeine?aeaeoaaiiai aeaiaioa; ?2
— aeecueea aei /anoioe a?eueieo eieeaaiue eiinie?. sseui /anoioa
aeioooth/i? neee ca?aa?oueny c ?1, oi aiie?ooaee eieeaaiue c?acea
aaaaoie?aoii ia?aaeuothoue aiie?ooaee eieeaaiue eiinie?. Ine?eueee
cia/aiiy aeae?aiaioo ciaoiaeeoueny a iaaeao 0,02… 0,01, oi aiie?ooaea
eieeaaiue e?ioey eiinie? iiaea a 50… 100 ?ac?a ia?aaeuoaaoe aiie?ooaeo
eieeaaiue eiinie?. Iano?eueee aaeeea aiie?ooaea eieeaaiue ? i?eaeaoiith
aeey ?a?no?aoe??.

O iaoiae? ?iioeuenieo cao?aiue aeei?enoiao?oueny ae?y oaea?iiai
iaoai?cio ia aeine?aeaeoaaiee ia’?eo. Oaea?, ye o?ce/ia yaeua, ?
ia?ao?aeiei noaiii nenoaie, iia’ycaiei c ia?aaea/ath aia?a?? i?ioyaii
ei?ioeiai i?ii?aeeo /ano o ii??aiyii? c /anii eieeaaiue nenoaie, yea
ni?eeia? aia?a?th oaea?o. Iaoai?/ia nenoaia, aoaeo/e iaaeoeaiith i?ae
/an ae?? cao?aiiy, a?aeaoeo?oueny ?aciiainieie eieeaaiiyie a?ae?aco
i?ney i?eieiaiiy ae?? ?iioeueniiai iaaaioaaeaiiy.

Aeey i?iaaaeaiiy aeine?aeaeaiue canoiniaoaaee aei??thaaeueio nenoaio, ui
neeaaea?oueny c oaiciiao?e/iiai i?aeneethaa/a, aiaeiai-oeeo?iaiai
ia?aoai-?thaa/a, ?a?no?aoi?a ?ioi?iaoe?? (eiii’thoa? oeio ?N).

Ia’?eoaie aeine?aeaeaiiy aoee iaoai?/i? nenoaie ci?iiiai ? noaeiai
iiia?a/iiai ia?a??co. I?iaaaeaii aei??thaaiiy a?aeaoe?a oaeeo nenoai: a)
eiiona c eoeueeith ia e?ioe? ianith Ie = 78,39 a; a) ei?ioei?
eiinieueii? aaeee aeiaaeeiith l = 205 ii aac cina?aaeaeaii? iane; a)
ei?ioei? eiinieueii? aaeee aeiaaeeiith

l = 205 ii ?c cina?aaeaeaiith ianith ia e?ioe? md = 67,7 a; a) aeiaai?
eiinieueii? aaeee aeiaaeeiith l = 333 ii aac cina?aaeaeaii? iane; ae)
aeiaai? eiinieueii? aaeee aeiaaeeiith l = 333 ii ?c cina?aaeaeaiith
ianith ia e?ioe? md = 67,7 a. I?iaaaeaii ii??aiyiiy ?acoeueoao?a
aei??thaaiue aeanii? /anoioe ??cieie iaoiaeaie.

Iniiai? ?acoeueoaoe oa aeniiaee

1. O aeena?oaoe?ei?e ?iaio? i?iaaaeaii oai?aoe/i? ? aenia?eiaioaeuei?
aeine?aeaeaiiy, ni?yiiaai? ia ?ic?iaeo aoaeoeaieo iaoiae?a aiae?co
noaoe/ii? ? aeeiai?/ii? iiaaae?iee iaeiiaei??ieo
eiioeioaeueii-aeene?aoieo iaoai?/ieo nenoai c
ia??aiii??ii-?iciiae?eaieie ia?aiao?aie oa aeene?aoieie aeeth/aiiyie,
oai??y yeeo ?ic?iaeaia iaaeinoaoiuei. ?ic?iaeai? iaoiaee i?i?ethno?iaaii
ia i?eeeaaeao ?ic?aooieiaeo iiaeaeae cae/aeieo ? neeaaeaieo noa?aei?a,
ui anoaiiaeai? ia aei?noeeo aai i?oaeieo iii?ao ? ia?aaoaathoue i?ae
ae??th eiina?aaoeaieo ? iaeiina?aaoeaieo iaaaioaaeaiue, a oaeiae ia
i?eeeaaeao ?aaeueieo oaoi?/ieo ia’?eo?a.

2. Iiaoaeiaaia o caaaeueiiio aeaeyae? oa?aeoa?enoe/ia ??aiyiiy aeey
e?aeiai? caaea/? ia caeiaeuei? eieeaaiiy i?oaeii iia?oi? aaeee c?
ci?iieie aei?noe?noth, ?iciiae?eaiith ianith, iiaeaoeea?noth i?oaeii?
iniiae, iicaeiaaei?i iaaaioaaeaiiyi oa c aeene?aoieie aeaiaioaie o
aeaeyae? neoi/aieo ian ? i?oaeieo iii? aea? iiaeeea?noue ciaoiaeeoe
aeani? /anoioe, aecia/aoe oi?ie a?eueieo eieeaaiue oa e?eoe/i?
iaaaioaaeaiiy iaoai?/ieo nenoai oe?ieiai eeano, ui iathoue o?ce/ii
iaa?oioiaai? i?oaeii-?ia?oe?ei? oa?aeoa?enoeee.

3. Aeey eiinieae ci?iiiai iiia?a/iiai ia?a??co c? neoi/aiith ianith a
aeayeiio i?ii?aeiiio ia?a??c? aai ia e?ioe? io?eiaii caieioo? aiae?oe/i?
ae?ace ia?oeo o?ueio eiao?oe??io?a oa?aeoa?enoe/iiai ?yaeo, ui aea?
iiaeeea?noue aecia/aoe aeainoi?iii? ioe?iee aeanieo /anoio ca oi?ioeaie
Aa?iooaeia. I?iaiae?ciaaii a?euei? eieeaaiiy eiinieae, ui iathoue oi?io
eiiona aai eeeia. Iieacaii, ui o /anoeiaeo aeiaaeeao ciaeaeai? ioe?iee
iniiaii? /anoioe aeia?a ocaiaeaeothoueny c a?aeiia?aeieie oi/ieie
cia/aiiyie. Aeaaaeaii iaaeeaeai? oi?ioee ? iiaoaeiaaii iiiia?aie, ye?
aeathoue iiaeeea?noue aecia/aiiy iniiaii? aeanii? /anoioe iaoai?/ii?
nenoaie c iioeaeith, ui ia ia?aaeuo? 5%.

4. Iiaoaeiaai? aiae?oe/i? ?ica’ycee caaea/ ia ciaoiaeaeaiiy noaoe/ieo
i?iaei?a ? e?eoe/ieo iaaaioaaeaiue aaeie ci?iiiai iiia?a/iiai ia?a??co c
i?ii?aeiith i?oaeiith iii?ith. Iaoiae caaacia/o? aenieo oi/i?noue
ia/eneaiue aeey oe?ieiai ae?aiaciio eiioeioaeueii-aeene?aoieo ia?aiao??a
nenoaie, ui ?ethno?o?oueny ?acoeueoaoaie ?ic?aooie?a, i?iaaaeaieo ?c
canoinoaaiiyi iaei?ino?oeo aeainoi?iii?o ioe?iie. Aeei?enoaia
?ic?aooieiaa iiaeaeue ioiieth? ieceo ?iaeaia?ieo caaea/, ui aeieeathoue
i?ae /an i?iaeooaaiiy iano/eo iaoaeieiino?oeoe?e.

5. Iaoiaeii oa?aeoa?enoe/ieo ?yae?a ?ica’ycaii caaea/? ia iiia?a/i?
eieeaaiiy aa?oeeaeueii? eiionii? eiinie?, ui ia?aaoaa? i?ae ae??th
eiina?aaoeaii? (aa?oeeaeueii?) oa iaeiina?aaoeaii? (ne?aeeoth/i?) nee.
I?i?ethno?iaaii ye?niee aieea noi?nii? ae?? aeacaieo iaaaioaaeaiue ia
iniiaio aeanio /anoioo nenoaie. Aea/aii aeiaaeie i?oaeiiai cae??ieaiiy
oa?i??ii iia?oiai aa?oeeaeueiiai noa?aeiy, iaaaioaaeaiiai aeaniith
aaaith. Iieacaii, ui aeinoaoith oi/i?noue ?ic?aooieo caeaaeiino? aeaio
ia?oeo /anoio aeanieo eieeaaiue eiino?oeoe?? a?ae iaaaioaaeaiiy (c
iioeaeith aei 1%) io?eiaii, a?aoiaoth/e eeoa o?e ia?o? /eaie ?yaeo. I?e
oeueiio ciaeaeaii e?eoe/io neeo, cia/aiiy yei? aeey aeiaaeeo cauaieaiiy
ca?aa?oueny c oi/iei cia/aiiyi, iaea?aeaiei oeyoii ?ica’ycoaaiiy caaea/?
no?eeino? ca aeiiiiiaith ooieoe?e Aannaey.

6. ?ica’ycaia caaea/a i?i iiia?a/i? eieeaaiiy aaaaoioa?iaiai eiiona, ui
neeaaea?oueny c aeaiaio?a aeaioiaeaieo ?c ??cieo iaoa??ae?a. Ia
i?eeeaae? aeaioa?iai? eiino?oeoe?? i?i?ethno?iaaii aenieo aoaeoeai?noue
iaoiaeo /anoeiai? aeene?aoecaoe?? eiioeioaeueii-aeene?aoii? iaoai?/ii?
nenoaie. C? cia/ii iaioeie cao?aoaie i?aoe? o ii??aiyii? c caaaeueiei
iaoiaeii aiae?co io?eiaii /ioe?e eiao?oe??ioe oa?aeoa?enoe/iiai
??aiyiiy, ye? caaacia/othoue aecia/aiiy iniiaii? /anoioe c iioeaeith, ui
ia ia?aaeuo? 1,5%. Iieacaii, ui canoiniaaiee iaoiae cia/ii iieaaoo?
ciaoiaeaeaiiy ae?oai? oa a?eueo aenieeo aeanieo /anoio, a oaeiae
o?aooaaiiy oaeeo aeiaeaoeiaeo ia?aiao??a ye iicaeiaaei? iaaaioaaeaiiy ?
iiaeaoeea?noue iniiae. Aeyaeaii ?noioiee aieea o?ce/ieo ia?aiao??a oa??a
ia aeeiai?/i? oa?aeoa?enoeee nenoaie.

7. Iieacaii, ui ii?aoeueiaaia iaoiaeieia?y aiae?co eieeaaiue
eiioeioaeueii-aeene?aoieo nenoai, yea a?oioo?oueny ia canoinoaaii?
iaoiae?a ooieoe?? aieeao, oa?aeoa?enoe/ieo ?yae?a ? ii/aoeiaeo
ia?aiao??a, eaaei iioe?th?oueny ia aeai- oa o?eaei??i? nenoaie, ui
caiaeyoueny aei e?aeiaeo caaea/ aeey cae/aeieo aeeoa?aioe?aeueieo
??aiyiue. Iaaaaeaiee aeniiaie i?i?ethno?iaaii ia caaea/ao i?i aecia/aiiy
aeanieo /anoio ? oi?i inaneiao?e/ieo eieeaaiue i?oaeii? ieanoeie c
aeene?aoieie (eieiaeie) aeeth/aiiyie oa i?i ?aae?aeuei? eieeaaiiy
iaiaeii??aeii? eoe?.

8. Ia iniia? i?iaaaeaieo aeine?aeaeaiue aeeiai?ee nenoaie iiaea/?
aeaeo?iaea noaeaieaaeeueii? ia/?, iano/a ?aia yei? ia? yne?aai ae?aaeai?
ia??aiii??ii ?iciiae?eai? ia?aiao?e, iaa?oioiaaii ?aoe?iiaeuei?
oa?aeoa?enoeee i?ioean?a aaoiiaoe/iiai ea?oaaiiy iiaea/ath aeaeo?iae?a
oa aoaeoeai? ?aaeeie ?iaioe ia/?. Caaaeyee ocaiaeaeaiino? ia?aiao??a
aaoiiaoe/iiai i?eaiaeo oa iano/eo eiino?oeoe?e onoiooi ?aciiaini? yaeua
o nenoai? oa aeinyaiooi cieaeaiiy aiie?ooae a?a?aoe?e aeaeo?iae?a ia
10-20% ? a?aeiia?aeieo aeeiai?/ieo iaaaioaaeaiue i?eaeecii ia 15%.

9. Ia iniia? canoinoaaiiy iaoiaeo ii/aoeiaeo ia?aiao??a iiaoaeiaaii
iaoaiaoe/io iiaeaeue ? aeai?eoi aiae?co a?eueieo ? aeiooaieo eieeaaiue
nenoaie oa?i??ii c/eaiiaaieo aaeie Oeiioaiea c? ci?iieie
i?oaeii-?ia?oe?eieie oa?aeoa?enoeeaie, ui aea? iiaeeea?noue
aeine?aeaeoaaoe aeeiai?/i? i?ioeane o neeaaeai?e eiino?oeoe?? ca
a?aenooiino? aaciina?aaeiueiai ca’yceo aaiiao?e/ieo ? neeiaeo
oa?aeoa?enoee c’?aeiaieo aeaiaio?a. Iniaeeaino? aeeiai?/ii? iiaaae?iee
?icaeyiooeo iaoai?/ieo nenoai i?i?ethno?iaaii ia i?eeeaae? eieeaaiue
aaaaoinaeoe?eii? ?aie eiiaa??a.

10. Aenia?eiaioaeuei? aeine?aeaeaiiy aeeiai?/ieo yaeu a
eiioeioaeueii-aeene?aoieo iaoai?/ieo nenoaiao, i?iaaaeai? a eaai?aoi?ieo
oiiaao ia iniia? ii?aoeueiaaieo aaoi?ii iaoiae?a ?iioeuenieo cao?aiue ?
?aciiainieo eieeaaiue, a oaeiae aeine?aeaeaiiy, i?iaaaeai? ia ?aaeueieo
noaeaieaaeeueieo aeaeo?iaeoaiaeo ia/ao, i?aeoaa?aeaeothoue
i?aaii??i?noue i?eeiyoeo i?eiouaiue ? aeinoaoith aeey i?aeoeee oi/i?noue
oai?aoe/ieo iaoiae?a aiae?co. Cai?iiiiiaai? i?ae /an aeeiiaiiy
aeena?oaoe?eii? ?iaioe ?aeiiaiaeaoe?? ? oaoi?/i? ??oaiiy aeathoue
iiaeeea?noue nooo?ai i?aeaeueoe aeiaaia?/i?noue ? iaae?ei?noue aaaeeeaeo
aoce?a oaoiieia?/ieo iaoei ca ?aooiie onoiaiiy ?aciiainieo ?aaeei?a
?iaioe oa ciaioaiiy aeeiai?/ieo iaaaioaaeaiue, iia’ycaieo c ?ice?eooyi
caci??a ? aca?iiae??th i?eaiaeo c iano/ith eiino?oeoe??th, a oaeiae
iie?ioeoe oiiae i?aoe? ia i?aei?e?inoaao. I?aeoe/i? ?ic?iaee
i?aeoaa?aeaeai? 7 aaoi?nueeeie na?aeioeoaaie ia aeiaoiaee ?
ai?iaaaeaeai? ia Iaoaeo?a?eiiio caaiae? “Aa?oaaa” (i. Aa?oaaa, Iieueua)
oa ia Oaa?eoe? ooo?iaeo ae?ia?a “A??oia” (i. A?einoie, Iieueua).
?ic?iaeaia aaoi?ii aenia?eiaioaeueia onoaiiaea aeei?enoiao?oueny aeey
ae?aaiinoeee oaoi?/iiai noaio aaeii?iaiae?a.

Iniiaiee ci?no aeena?oaoe?eii? ?iaioe aeeeaaeaiee o oaeeo ioae?eaoe?yo.

1. Iao. “Wzor uzytkowy” 35944, Iieueua. Zl?cze kabla z cz??ci? toru
wielkopr?dowego zw?aszcza do zasilania elektrod piecow ?ukowych. /
Jaroszewicz J. (Iieueua); Swiadectwo Autorskie Urz?du Patentowego PRL ?
50374; Cayae.13.03.81; Iioae.20.12.82; — 5 n.

2. Iao. “Wzor uzytkowy” 16856, Iieueua. Sposob monta?u kabli
wielkopr?dowych zw?aszcza do zasilania piecow ?ukowych / Jaroszewicz J.,
K?pka A. (Iieueua); Swiadectwo Autorskie Urz?du Patentowego PRL ?
165735; Cayae. 13.11.78; Iioae. 30.10.83; — 2 n.

3. ss?ioaae/ ?., Eaanthe A. I?iaeieueiua eieaaaiey iaoaiecia iiaea/e
yeaeo?iaea iaoaeo?ae/aneie yeaeo?iaeoaiaie ia/e // Aanoiee Eueaianeiai
iieeoaoie/aneiai einoeoooa. — Eueaia: Aeua oeiea, Ecae-ai i?e Eueaia.
oi-oa, 1983. — ?179. — N. 88-90.

4. Jaroszewicz J., Zoryj L. O zastosowaniu metody szeregow
charakterystycznych do analizy gi?tnych drga? w?asnych pr?ta z
uwzgl?dnieniem masy w?asnej // Zeszyty Naukowe Politechniki
Bia?ostockiej, Nauki Techniczne, Mechanika Z.1. — Bia?ystok (Poland). —
1983. — ? 40. — P. 89-98.

5. Iao. 122002, Iieueua. Zl?cze ?y? kabla wielkopr?dowego zw?aszcza do
zasilania elektrod piecow ?ukowych // Jaroszewicz J., K?pka A (?ieueua);
Swiadectwo Autorskie Urz?du Patentowego PRL ? 178948; Cayae. 31.10.79;
Iioae. 31.10.84; — 2 n.

6. Jaroszewicz J., Zoryj L. Drgania gi?tne belki wspornikowej o
zmiennym przekroju // Rozprawy In?ynierskie. Polska Akademia Nauk. —
1985. — ?33, 4. — P. 537 — 547.

7. Iao. 135495, Iieueua. Urzadzenie uszczelniaj?ce otwor elektrodowy w
sklepieniu pieca ?ukowego / Jaroszewicz J., Zwierzy?ski R. (?ieueua);
Swiadectwo Autorskie Urz?du Patentowego PRL ? 215342; Cayae. 28.04.82;
Iioae. 31.12.86. — 4 n.

8. Iao. 135496, Iieueua. Urzadzenie uszczelniaj?ce otwor elektrodowy w
sklepieniu pieca ?ukowego / Jaroszewicz J., Zin A (?ieueua); Swiadectwo
Autorskie Urz?du Patentowego PRL ? 236211; Cayae.28.04.82;
Iioae.31.12.86. — 4 n.

9. Iao. 138518, Iieueua. Urzadzenie prowadz?ce kolumn? no?n? elektrody
hutniczego pieca ?ukowego / Jaroszewicz J (Iieueua); Swiadectwo
Autorskie Urz?du Patentowego PRL ? 223906; Cayae. 21.02.85; Iioae.
30.06.87; — 2 n.

10. Iao. 138520, Iieueua. Urzadzenie uszczelniaj?ce otwory elektrodowe
w sklepieniach piecow ?ukowych / Jaroszewicz J (?ieueua); Swiadectwo
Autorskie Urz?du Patentowego PRL ? 223910; Cayae. 18.04.85; Iioae.
30.06.87; — 3 n.

11. Jaroszewicz J., Zoryj L.M. Wp?yw parametrow zmiennego przekroju na
drgania gi?tne belek i wa?ow wspornikowych. // Rozprawy In?ynierskie.
Polska Akademia Nauk. — 1987. — ?35, 3. — P. 523-534.

12. Jaroszewicz J. and Zoryj L. Analysis of the Bending Curve and
Critical Load of a Variable Cross-section Beam by Means of Influence
Method // Journal

of Theoretical and Applied Mechanics. — 1994. — ?2,32. — P. 429-437.

13. Jaroszewicz J, Osipiuk W. Drgania i stateczno?? belek o zmiennym
rozk?adzie parametrow // Zeszyty Naukowe Politechniki Bia?ostockiej.
Nauki Techniczne ?97 Mechanika. Z. 13. Bia?ystok (Poland) — 1994. — P.
125-142.

14. ss?ioaae/ A., Ci?ee E.I. Ecaeaiua eieaaaiey e aeeiaie/aneay
onoie/eainoue aaeie n ia?aiaiiuie ia?aiao?aie // I?eeeaaeiay iaoaieea. —
1994. — O.30. — ?9. — N. 75-81.

15. Jaroszewicz J. and Zoryj L. Critical Euler Load for cantilever
tapered beam // Journal of Theoretical and Applied Mechanics. — 1996. —
?4, 34. — P. 843-851.

16. Jaroszewicz J., Zoryji L Metody analizy drga? i stateczno?ci
kontynualno-dyskretnych uk?adow mechanicznych. — Bia?ystok (Poland):
Wydawnictwo Politechniki Bia?ostockiej, 1997. — 128 p.

17. Jaroszewicz J, Zoryj L. Drgania promieniowe spr??ystej kuli //
Zeszyty Naukowe Politechniki Bia?ostockiej. Nauki Techniczne, Mechanika.
Z. 20. — Bia?ystok (Poland). — 1998. — ?20. — P. 329-335.

18. Jaroszewicz J., Zoryj L. The Effect of Non-homogenous Material
Propertieson Transversal Vibrations of Elastic Cantilevers //
I?eeeaaeiay iaoaieea. — 1999. — T.35. — ?6. — P. 103-110.

19. ss?ioaae/ ?. ?ic?aooiie aieueieo eieeaaiue nenoaie oa?ii?ii
c/eaiiaaieo aaeie Oeiioaiea // Iaoeiiciaanoai. — 1999. — ?1. — C.
19-21.

20. ss?ioaae/ ?. Aenia?eiaioaeueia aeineiaeaeaiiy aeeiai?/ieo
oa?aeoa?enoee eiioeioaeueii-aeene?aoieo i?oaeieo nenoai iiioeueniei
iaoiaeii // Iaoeiiciaanoai. — 1999. — ?5. — N. 50-54.

21. ss?ioaae/ ?. Eieeaaiiy iano/ii iaoaeieiino?oeoeii nenoaie iiaea/i
aeaeo?iaea aeaeo?iaeoaiaii ia/i // Iaoeiiciaanoao. — 1999. — ? 6. — N.
46-49.

22. ss?ioaae/ ?. Iaoiae oa?aeoa?enoe/ieo ?yae?a o oai??? eieeaaiue
aaaaoiia?aiao?e/ieo i?oaeieo nenoai // Aeni?an-iiaeie: iaoea, oaoi?ea,
ae?iaieoeoai. — 1999. — ?9-10. — N. 8-10.

23. ss?ioaae/ ?. Iiaeaeueiee aiae?c iano/eo eiino?oeoe?e
n?euenueeiainiiaea?nueeeo iaoei// Oaoi?ea aa?ii?iieneiaiai eiiieaeno. —
1999. — ?4. — N. 25-26.

24. ss?ioaae/ ?. Aiae?c aeiooaieo eieeaaiue nenoaie iiaea/i aeaeo?iaeia
aeaeo?iaeoaiaii ia/i // Aeni?an-iiaeie: iaoea, oaoi?ea, ae?iaieoeoai. —
1999. — ?9-10. — N. 3-6.

AIIOAOe?ss

ss?ioaae/ ?. Iaoiaee aiae?co eieeaaiue ? no?eeino?
eiioeioaeueii-aeene?aoieo iaoai?/ieo nenoai c ia??aiii??ii
?iciiae?eaieie ia?aiao?aie.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a oaoi?/ieo iaoe ca
niaoe?aeuei?noth 05.02.09 — Aeeiai?ea oa i?oei?noue iaoei. — Aea?aeaaiee
oi?aa?neoao “Euea?anueea iie?oaoi?ea”, Euea?a, 1999.

?iaioa i?enay/aia ?ic?iaoe? iaoiae?a aiae?co eieeaaiue oa no?eeino?
eiioeioaeueii-aeene?aoieo iaoai?/ieo nenoai. Iaoiae oa?aeoa?enoe/ieo
?yae?a ? iaoiae ooieoe?e aieeao iioe?th?oueny ia ?ica’ycoaaiiy e?aeiaeo
caaea/ caeiieo a?eueieo eieeaaiue, aecia/aiiy ooieoe?e i?iaeio ?
e?eoe/ieo iaaaioaaeaiue i?oaeii? aaeee ci?iii? aei?noeino? c
ia??aiii??iei ?iciiae?eii iane, i?oaeii? iniiae, inueiaeo iaaaioaaeaiue
?c o?aooaaiiyi aeene?aoieo aeeth/aiue, a oaeiae iaiaeii??aeieo
aeanoeainoae iaoa??ae?a aaeee. ?ic?iaeaii iaoiaeieia?th
aenia?eiaioaeueiiai aeine?aeaeaiiy /anoio ? oi?i eiinieueieo aaeie ia
iniia? ?iioeueniiai oa ?aciiainiiai caoaeaeaiiy. Iieacaii aenieo
oi/i?noue cai?iiiiiaaieo iaoiae?a a ii??aiyii? c a?aeiieie oai?aoe/ieie
?acoeueoaoaie, a oaeiae ?o aenia?eiaioaeueia i?aeoaa?aeaeaiiy.
Iaa?oioiaaii i?aeoe/i? ?aeiiaiaeaoe?? uiaei ?ic?aooieo, eiino?othaaiiy
oa aenieoaoaoe?? iaoai?cio iiaea/? aeaeo?iaea a aeaeo?iaeoaia?e
iaoaeo?a?ei?e ia/?.

Eeth/ia? neiaa: aeeiai?ea; e?eoe/ia iaaaioaaeaiiy;
eiioeioaeueii-aeene?aoia nenoaia; ia??aiii??iee ?iciiae?e ia?aiao??a;
aeene?aoi? aeeth/aiiy; iaoiae oa?aeoa?enoe/ieo ?yae?a; ooieoe?y aieeao;
iaoiae ii/aoeiaeo ia?aiao??a; aeaeo?iaeoaiaa i?/; iano/a eiino?oeoe?y.

ANNOTATION

Jezy Jaroshevich. Methods of vibration and stability analysis of
distributed-discrete mechanical systems with variable parameters.

Doctor of Technical Sciences thesis in specialty in 05.02.09 — Dynamics
and strength of machines. — Lviv State Politechnica University, Lviv,
1999.

The work deals with the methods of the analysis of vibrations and
stability of continual-discrete mechanical systems. The characteristic
series method and influence function method are applied to solutions of
the boundary-value problem of free transverse vibrations and the problem
of deflection curve, critical Euler loads of an elastic beam with
variable flexural rigidity, distributed mass, elastic base, axial loads,
external friction. Taking into consideration discrete inclusions in
distributed parameters and non-homogenous material properties.
Experimental methods of investigation of frequency and cantilever form
on the base of impulse and resonance excitation have been worked out.
High accuracy of the offered methods with known theoretical dates and
experimental results obtained by the author has been shown. Practical
recommendations for calculation, design and exploration of arc furnaces
mechanisms have been substantiated.

Key words: dynamics; critical loads; distributed-discrete mechanical
systems; variable parameters; discrete inclusions; characteristic series
method; influence function; initial parameters method; arc furnaces;
bearing construction.

AIIIOAOeEss

ss?ioaae/ A. Iaoiaeu aiaeeca eieaaaiee e onoie/eainoe
eiioeioaeueii-aeene?aoiuo iaoaie/aneeo nenoai n ia?aaiiia?ii
?ani?aaeaeaiiuie ia?aiao?aie. — ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie aeieoi?a oaoie/aneeo iaoe ii
niaoeeaeueiinoe 05.02.09 — Aeeiaieea e i?i/iinoue iaoei. —
Ainoaea?noaaiiue oieaa?neoao “Euea?anueea iie?oaoi?ea”, Eueaia, 1999.

Oeaeue aeenna?oaoeeiiiie ?aaiou ninoieo a ?ac?aaioea yooaeoeaiuo
iaoiaeia aiaeeca eieaaaiee e onoie/eainoe iaeiiia?iuo
eiioeioaeueii-aeene?aoiuo oi?oaeo nenoai n i?iecaieueiui oece/anee
iainiiaaiiui ?ani?aaeaeaieai iannu, aeanoeinoe, iiaeaoeeainoe oi?oaiai
iniiaaiey, eioi?ua iaoiaeyony iiae aeaenoaeai eiina?aaoeaiuo e
iaeiina?aaoeaiuo iaa?ocie, ia iniiaa iino?iaiey e enneaaeiaaiey
oieaa?naeueiuo oa?aeoa?enoe/aneeo ii?aaeaeeoaeae eae oeaeuo
aiaeeoe/aneeo ooieoeee ia?aiao?ia eee /eneiaiai eioaa?e?iaaiey
aeeooa?aioeeaeueiuo o?aaiaiee n ia?aiaiiuie eiyooeoeeaioaie n ?acaeoeai
iao?e/iiai iaoiaea ia/aeueiuo ia?aiao?ia. Aeinoeaeaiea oeaee
inouanoaeyaony oaeaea i?eiaiaieai iaoiaea oa?aeoa?enoe/aneeo ?yaeia n
eniieueciaaieai ooieoeee aeeyiey.

Iieacaii, /oi aeaiiua iaoiaeu iicaieytho iaoiaeeoue o?oaeiinoe,
aicieeathuea i?e i?eiaiaiee eeanne/aneeo iiaeoiaeia, e iieo/aoue
ea/anoaaiii iiaua ?acoeueoaou. Iino?iaiu oa?aeoa?enoe/aneea o?aaiaiey a
aeaea ?yaea ii /anoioiiio ia?aiao?o, aeey eioi?uo iieo/aiu ia?aua
eiyooeoeeaiou a caieiooii aeaea. Yoei niiniaii ?aoaii caaea/e aeey
oi?oaeo nenoai n i?iecaieueiui eoni/ii-ia?aiaiiui ?ani?aaeaeaieai
ia?aiao?ia e aeeth/aieyie a aeaea nin?aaeioi/aiiuo iann e oi?oaeo iii?
aac iaiaoiaeeiinoe ninoaaeaiey oneiaee nii?yaeaiee. N oeaeueth
ii?aaeaeaiey iecoeo /anoio e e?eoe/aneeo iaa?ocie e oa?aeoa?enoe/aneei
?yaeai i?eiaiyeenue aeaonoi?iiiea ioeaiee, eioi?ua ii?aaeaeytho a?aieoeu
oi/iiai ?aoaiey.

Aeenna?oaoeey ninoieo ec aaaaeaiey, oanoe ?acaeaeia, auaiaeia, nienea
eniieueciaaiiie eeoa?aoo?u.

Ia?aue ?acaeae iinayuai iaci?o nia?aiaiiiai ninoiyiey i?iaeai aeeiaieee
e onoie/eainoe eiioeioaeueii-aeene?aoiuo iaoaie/aneeo nenoai.
Noi?ioee?iaaiu caaea/e enneaaeiaaiey.

Ai aoi?ii ?acaeaea oi?ioee?othony e?aaaua caaea/e aeey ?an/aoiuo
iiaeaeae. Auaaaeaii iauaa oa?aeoa?enoe/aneia o?aaiaiea aeey oi?oai
iia?oie aaeee n ia?aiaiiie aeanoeinoueth e i?iecaieueiui ?ani?aaeaeaieai
iannu, oi?oaie iniiau, i?iaeieueiie noaoe/aneie iaa?ocee, aiaoiaai
o?aiey, eioi?ay niaea?aeeo aeene?aoiua aeeth/aiey a aeaea
nin?aaeioi/aiiuo iann, o?aiey e i?iiaaeooi/iuo iii?. Eco/ai ?yae /anoiuo
i?aeoe/anee aaaeiuo neo/aaa, a oaeaea auaaaeaiu ?an/aoiua oi?ioeu aeey
eiinieueiuo aaeie a aeaea eiiona e eeeia e onoaiiaeaiu oneiaey eo
i?eiaieiinoe. I?iaaaeai aiaeec ecaeaiuo eieaaaiee iaiaeii?iaeiie
eiioniie eiiniee n aeeth/aieyie iaoiaeii /anoe/iie aeene?aoecaoeee.

O?aoee ?acaeae iinayuai oai?aoe/aneei enneaaeiaaieyi eieaaaiee e
onoie/eainoe noa?aeiae, iaa?oaeaiiuo noaoe/aneeie inaauie neeaie.
Auaiaeeony ooieoeey ecaeaa e e?eoe/aneea iaa?ocee aeey aaeee
i?iecaieueiiai iiia?a/iiai na/aiey n oa?ie?iie e oi?oaeie iii?aie,
iaa?oaeaiiie iiia?a/iuie e i?iaeieueiuie eiina?aaoeaiuie neeaie. ?aoaia
caaea/a ia onoie/eainoe aa?oeeaeueiie eiioniie eiiniee a aeaea
n?acaiiiai eiiona, iaa?oaeaiiiai nianoaaiiui aanii.

A /aoaa?oii ?acaeaea ?anniao?eaathony iniaaiiinoe eco/aiey naiaiaeiuo
eieaaaiee ni/eaiaiiuo aaeie Oeiioaiea, e?oaeie ieeou e oi?oaiai oa?a n
aeene?aoiuie aeeth/aieyie. Oi?ioee?oaony e ?aoaaony caaea/a i
?aaeeaeueiuo eieaaaieyo iaeii?iaeiiai oi?oaiai oa?a, iino?iaii
oa?aeoa?enoe/aneia o?aaiaiea a aeaea noaiaiiiai ?yaea. Enneaaeoaony
aeeyiea ?aniieiaeaiey oi?oai iia?oie nin?aaeioi/aiiie iannu a aeaea
eieueoea ia iiia?a/iua eieaaaiey e?oaeie ieeou, cauaieaiiie ia e?ayo;
i?aaeeiaeaiu ?an/aoiua oi?ioeu. Iaoiae oa?aeoa?enoe/aneeo ?yaeia
i?eiaiai e ii?aaeaeaieth nianoaaiiuo /anoio aaeie Oeiioaiea n oeiiauie
a?aie/iuie oneiaeyie.

A iyoii ?acaeaea enneaaeiaaiu naiaiaeiua e auioaeaeaiiua eieaaaiey
nenoaiu iiaea/e yeaeo?iaea a yeaeo?iaeoaiaie iaoaeeo?ae/aneie ia/e.
I?iaaaeai aiaeec aeeyiey eieaaaiee yeaiaioia nenoaiu iiaea/e yeaeo?iaea
ia aai ?ac?ooaiea, a oaeaea ia ?ac?ooaiey aaaeoueo ?ieeeia, oieiaaaeoueo
oei e eaaaeae. I?iaaaeaii yenia?eiaioaeueiia e oai?aoe/aneia
enneaaeiaaiea iaa?oaeaiey yeaiaioia nenoaiu oieii aeoae. I?aaeeaaaaony
iiaea?iecaoeey eiino?oeoeee e oaoiieiaee neaaeothueo yeaiaioia:
yeaeo?iaeiuo ioaa?noee — n oeaeueth eo oieioiaiey, iai?aaeythueo
?ieeeia, oieiaaaeoueo oei e eaaaeae.

A oanoii ?acaeaea yenia?eiaioaeueii enneaaeothony aeeiaie/aneea
oa?aeoa?enoeee ?anniio?aiiuo eiioeioaeueii-aeene?aoiuo oi?oaeo nenoai.
?ac?aaioaia iaoiaeieiaey eiioeueniiai aiciouaiey e onoaiiaea aeey
enneaaeiaaiey /anoio e oi?i eieaaaiee eiinieueiuo aaeie. ?acoeueoaou
enneaaeiaaiey i?iaa?ythony ?aciiainiui iaoiaeii e iaoiaeii naiaiaeiuo
eieaaaiee. N?aaieaathony oai?aoe/aneea e yenia?eiaioaeueiua aeaiiua,
iieo/aiiua a ?aaioa, onoaiiaeaii eo oaeiaeaoai?eoaeueiia niaeaniaaiea.

Eeth/aaua neiaa: aeeiaieea; e?eoe/aneay iia?ocea;
eiioeioaeueii-aeene?aoiay nenoaia; ia?aaiiia?iia ?ani?aaeaeaiea
ia?aiao?ia; aeene?aoiua aeeth/aiey; iaoiae oa?aeoa?enoe/aneeo ?yaeia;
ooieoeey aeeyiey; iaoiae ia/aeueiuo ia?aiao?ia; aeaeo?iaeoaiaay ia/ue;
ianouay eiino?oeoeey.

I?aeienaii aei ae?oeo 25.08.99 ?.

Niin?a ae?oeo — ??cia?ao?y.

Oi?iao 60?90/16. Iai?? ionaoiee.

Oi. ae?oe. a?e. 2,25. Oe?aae 100 i?ei. Cai. ? 47.

?icae?oeiaaii a AeO “Euea?anueea iie?oaoi?ea”.

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