Вібрації та автоматичне балансування машин з вертикальною віссю обертання і змінним дисбалансом ротора: Автореф. дис… канд. техн. наук / Р.Г. Чоловс

I?I?NOA?NOAI INA?OE OE?A?IE

OAOIIEIA?*IEE OI?AA?NEOAO IIAe?EEss

OAeE 62-752+62-755

*ieianueeee ?iiai Aaiaae?eiae/

A?A?AOe?? OA AAOIIAOE*IA AAEAINOAAIIss IAOEI

C AA?OEEAEUeIITH A?NNTH IAA?OAIIss ? CI?IIEI AeENAAEAINII ?IOI?A

Niaoe?aeuei?noue 05.02.02 — Iaoeiiciaanoai

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa oaoi?/ieo iaoe

Oiaeueieoeueeee — 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a Oaoiieia?/iiio oi?aa?neoao?

Iiae?eey (i. Oiaeueieoeueeee) I?i?noa?noaa ina?oe Oe?a?ie

Iaoeiaee ea??aiee: aeieoi? oaoi?/ieo iaoe, i?ioani?

?ieciai A?eai Iao?iae/,

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

caa?aeoaa/ eaoaae?e i?eeeaaeii? iaoai?ee.

Io?oe?ei? iiiiaioe: aeieoi? oaoi?/ieo iaoe C?iueeianueeee Aiaoie?e
Iaaeiae/, ?inoeooo i?iaeai i?oeiino? IAI Oe?a?ie, noa?oee iaoeiaee
ni?a?ia?oiee;

eaiaeeaeao oaoi?/ieo iaoe Ianoa? Ieeiea Aioiiiae/, Iaoe?iiaeueia
Aeaaeai?y i?eei?aeiiieo a?enuee Oe?a?ie, aeioeaio.

I?ia?aeia onoaiiaa: Caii??cueeee aea?aeaaiee oaoi?/iee oi?aa?neoao
I?i?noa?noaa ina?oe Oe?a?ie.

Caoeno a?aeaoaeaoueny » 19 » aeiaoiy 1999 ?. i 1400 aiaeei? ia
can?aeaii? niaoe?ae?ciaaii? a/aii? ?aaee Ae70.052.02 i?e Oaoiieia?/iiio
oi?aa?neoao? Iiae?eey ca aae?anith: 280016, i.Oiaeueieoeueeee, aoe.
?inoeooonueea, 11, 3-e o/aiaee ei?ion

C aeena?oaoe??th iiaeia iciaeiieoeny a iaoeia?e a?ae?ioaoe?
Oaoiieia?/iiai oi?aa?neoaoo Iiae?eey (i. Oiaeueieoeueeee, aoe.
Eai’yiaoeueea, 110/1).

Aaoi?aoa?ao ?ic?neaiee » 17 » aa?aniy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee
E?ieoeueeee ss.O.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue ?iaioe. Oaiaeaioe?y aei cieaeaiiy aaae iaoei ? io?eiaiiy
aaeeeeo iiooaeiinoae i?e iaeeo aaaa?eoao ca ?aooiie ca?eueoaiiy /anoio
iaa?oaiiy i?ecaiaeeoue aei c?inoaiiy ia-a??aiiaaaeaieo nee, iiyae
?aciiain?a o ?iai/?e cii? ?, ye iane?aeie, aei ca?eueoaiiy a?a?aoe?e,
cieaeaiiy yeino? oa ?ano?no oaeeo iaoei, iac?o/iinoae a aenieoaoaoe??,
caa?oaeiaiiy ooiii iaaeieeoiueiai na?aaeiaeua oa aei ??cieo i?ioan?eieo
caoai?thaaiue. Ua neeaaei?oa neooaoe?y a iaoeiao c? ci?iiei aeenaaeainii
?ioi?a. Aeey oaeeo iaoei o?aaeeoe?ei? iaoiaee cieaeaiiy a?a?aoe?e
iaeiaoaeoeai?. Iaea?eueo ?iciianthaeaeaiei iaoiaeii cieaeaiiy a?a?aoe?e
oaeeo iaoei ? aaoiiaoe/ia aaeainoaaiiy ca aeiiiiiaith ii?iaeienoi?
eaia?e, /anoeiai caiiaiaii? ?iai/eie o?eaie (naiiaaeainoaaiiy). Aeina?ae
aeei?enoaiiy aaoiaaeainoth/eo i?eno?i?a (AAI) aeaco? ia oa, ui ?nioth/a
oai??y aaoiiaoe/iiai aaeainoaaiiy iaoi/ii iieno? i?ioeane, ye?
a?aeaoaathoueny c ?iai/eie o?eaie i?ae /an ?oiuei? ?iaioe, ? iio?aao?
ooi/iaiiy.

Ca ia’?eoe aeine?aeaeaiiy ia?ai? iiaooia? i?aeueii-a?aeaeeii? iaoeie
ae?iaieoeoaa e?a?i NIAe, aeey yeeo i?iaeaia cieaeaiiy a?a?aoe?e oa ooio,
a oaeiae caaacia/aiiy aeeiai?/ii? i?oeiino? aeaoaeae oa aoce?a iniaeeai
aeooaeueia ? aaaeeeaa. Oe? iaoeie, iacaaaeath/e ia ?o i?inoioo, ye
ia’?eoe aeine?aeaeaiiy i?aaenoaaeythoue iniaeeaee ?ioa?an ia o?eueee
/a?ac neeaaei?noue nenoaie, ui eieeaa?oueny, oa /a?ac iino?eio
i?enooi?noue ia ?o ?ioi?ao aeiaaeeiai ?icoaoiaaiiai aeenaaeaino a?eecie,
a e iaaenie? aeiiae aei oi/iino? aeaioiaeaiiy aeaoaeae oa cai?ee, ui
ii?iaeaeo? ianoaa?euei?noue aei?noe?nieo, ianiaeo oa ?ia?oe?eieo
oa?aeoa?enoee.

?ic?iaeai? aeey oaeeo neeaaeieo oiia iaoiaee oa caniae caaacia/aiiy
iecueei? a?a?iaeoeaiino? iaoei iiaeooue aooe aeei?enoai? ia o?eueee aeey
i?aeaeuaiiy yeino? eiino?oeoe?e i?aeueieo iaoei, ui aaea ? aeineoue
aaaeeeaei, aea ? a?eueo neeaaeieo iaoei, ye? aeei?enoiaothoueny a ?ioeo
aaeocyo ia?iaeiiai ainiiaea?noaa.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa
i?iaiaeeeanue o a?aeiia?aeiino? c aea?aeathaeaeaoieie oaiaie: 17-89
“Eiiieaeniia enneaaeiaaiea aeeiaieee, ?ac?aaioea e i?iaa?ea ia?ii?eyoee
ii nieaeaieth aea?aoeee oeaio?eooa, iueaninia e noe?aeueiuo iaoei”,
35-90 “?ac?aaioea oaoie/aneeo ?aoaiee ii nieaeaieth aea?aoeee
noe?aeueiuo iaoei “Aieaa””, 4A-91 “Eiiieaeniia enneaaeiaaiea aeeiaieee e
?ac?aaioea ia?ii?eyoee ii nieaeaieth aea?aoeee e ooia iaoei e aiia?aoia
auoiaiai iacia/aiey e eaaeie i?iiuoeaiiinoe”, 9A-95 “Aeine?aeaeaiiy
i?ioeano aaoiiaoe/iiai aaeainoaaiiy ? eiai aeei?enoaiiy a
iaoeiiaoaeoaaii?”, 1I-97 “?ic?iaea iaoiae?a oa cania?a aaoiiaoe/iiai
aaeainoaaiiy ?ioi?ieo iaoei”.

Iaoith ?iaioe ? ?ic?iaea iaoiae?a oa cania?a aeine?aeaeaiiy eieeaaiue
iaoei c aa?oeeaeueiith a?nnth iaa?oaiiy ? ci?iiei aeenaaeainii ?ioi?a, a
oaeiae i?ioeano aaoiiaoe/iiai aaeainoaaiiy (naiiaaeaino-aaiiy) oa
ai?iaaaeaeaiiy ?acoeueoao?a aeine?aeaeaiue aeey cieaeaiiy a?a?aoe?e
iaoei.

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

1) neeanoe iaoaiaoe/i? iiaeae? eieeaaiue iaoei c aa?-oeeaeueiith a?nnth
iaa?oaiiy ?ioi?a oa ?o aeine?aeaeaiiy;

2) ?ic?iaeoe aenia?eiaioaeuei? iaoiaeeee oa caniae aeine?aeaeaiiy
eieeaaiue iaoei;

3) ?ic?iaeoe eiino?oeoi?nueei-oaoiieia?/i? caoiaee ii cieaeaiith
a?a?aoe?e;

4) ?ic?iaeoe aenia?eiaioaeuei? iaoiaeeee oa caniae aeine?aeaeaiiy
iiaaae?iee ?iai/eo o?e a AAI;

5) ai?iaaaeeoe ?acoeueoaoe oai?aoe/ieo oa aenia?eiaioaeueieo ?ic?iaie a
eiino?oeoe?? iaoei aeey cieaeaiiy ?o a?a?aoe?e.

Iaoeiaa iiaecia ?iaioe iieyaa?:

— o ?ic?iaoe? iaoaiaoe/ii? iiaeae? eieeaaiue ?ioi??a iaoei c
aa?oeeaeueiith a?nnth iaa?oaiiy, yea a?aoiaoth? aieea oei?a i?aea?nieo
aeaiaio?a, ?icoaooaaiiy oa aaee/eio aeenaaeaino oa ca’yci?noue eieeaaiue
ii an?o ocaaaeueiaieo eii?aeeiaoao, a oaeiae o oi?ioethaaii? ia
i?aenoaa? ?? aiae?co aeiia aei eiino?oeoe?e iaoei c iecueeith
a?a?iaeoeai?noth;

— o aeyaeaii? i?ioe??/ i?ae ?nioth/ith oai???th oa i?aeoeeith
aaoiiaoe/iiai aaeainoaaiiy;

— o iiaiio i?aeoiae? aei iiyniaiiy ?iaioe ??aeeiiiai AAI c a?aooaaiiyi
a?ae?aae?/ieo aeanoeainoae ??aeeie, ui aeicaiey? iiynieoe, /iio ??aeeii?
oa neie? ?iai/? o?ea ?icoaoiaothoueny iaai?ioe aeenaaeaino, ye ia
ca?aciiainieo /anoioao iaa?oaiiy ?ioi?a, oae ? aei?aciiainieo, ? ia
naiiio ?aciiain?;

— o noai?aii? iaoiaeo oa caniao oaeaee?nii? a?aeaiceiiee ?ooo ?iai/eo
o?e a AAI ca aeiiiiiaith no/anii? eiii’thoa?ii? oa a?aeaioaoi?ee;

— o noai?aii? niiniao oa caniao aei??thaaiiy a?a?aoe?e iecueei? /anoioe
oa aaeeei? aiie?ooaee.

I?aeoe/ia oe?ii?noue ?iaioe iieyaa? o oiio, ui ?acoeueoaoe oai?aoe/ieo
?ic?iaie iiaeooue aooe aeei?enoai? aeey i?iaeooaaiiy iaoei c iecueeith
a?a?iaeoeai?noth oa iaeith ca’yci?noth eieeaaiue, i?e ?ic?aooieao
ia?aiao??a ??aeeiieo AAI, a ?acoeueoaoe aenia?eiaioaeueieo ?ic?iaie —
aeey cieaeaiiy a?a?iaeoeaiino? iaoei c? ci?iiei aeenaaeainii ?ioi?a,
aeey aea/aiiy i?ioean?a, ye? a?aeaoaathoueny c ?iai/eie o?eaie a AAI
i?ae /an ?iaioe ?ioi?a ia anueiio ae?aiacii? /anoio iaa?oaiiy. ?ic?iaea
aacaei?noe?nii? ae?ao?aaie, iiaiai eiiiiioaaiiy aeaiaio?a ia ieaooi?i?
iaoeie, eiia?iiaaiiai AAI aeaei cieaeaiiy a?a?aoe?e iaoeie ia iaioa ye a
2,5 ?ace. ?acoeueoaoe ?iaioe ai?iaaaeaeai? a IAI ?i. *aia?aa (i.
*aaiena?e).

Iniaenoee aianie caeiaoaa/a:

— cai?iiiiiaaii i?eeaae aeey aei??thaaiiy eieeaaiue aaeeei? aiie?ooaee
oa iecueei? /anoioe;

— canoiniaaii eiiieaeniee i?aeo?ae i?e aeine?aeaeaii? iiaaae?iee
?iai/eo o?e a AAI, yeee a?oioo?oueny ia neio?ii?caoe?? i?ioeano
aei??thaaiiy ia?aiao??a a?a?aoe?e oa a?aeaiceiiee;

— neiino?oeiaai? oa aeaioiaeai? aacaei?noe?nia ae?ao?aaia oa i?aea?ni?
aeaiaioe ciaioaieo aaaa?eo?a.

Iniaenoi aaoi?ii aeyaeaii i?ioe??//y i?ae oai???th oa i?aeoeeith
aaoiiaoe/iiai aaeainoaaiiy, yea iieyaa? o o?i, ui anoia?a/ oai???,
aaoiaaeainoth/? i?eno?i? cieaeothoue a?a?aoe?? ia o?eueee ia
ca?aciiainieo /anoioao iaa?oaiiy, a e ia aei?aciiainieo oa ia
?aciiainieo /anoioao; ?ic?iaeaii oa a?aeeaaiaeaeaii noaiae aeey
aeine?aeaeaiiy iiaaae?iee ?iai/eo o?e a aaoiaaeainoth/iio i?eno?i? oa
aeaioiaeaii iaeao AAI ?c iioe/ii-i?ici?iai iaoa??aeo [1, 8-13].

Aaoi?ii ?ic?iaeai? oa a?aei?aoeueiaai? iaoiaeeee aeine?aeaeaiiy
iiaaae?iee ?iai/eo o?e a AAI oa ia?iaee io?eiaieo iaoa??ae?a c
aeei?enoaiiyi AII [4, 7].

Cai?iiiiiaaii ?aeath aeei?enoaiiy caeiia Ianeaey aeey aeine?ae-aeaiiy
iiaaae?iee ??aeeie a AAI; neiino?oeiaaii oa aeaioiaeaii iiaeae?
eiia?iiaaieo ??aeeiii-eoeueeiaeo AAI oa i?iaaaeai? aeine?aeaeaiiy ii
ioe?ithaaiith aoaeoeaiino? ?o ?iaioe [5, 6, 11].

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. Iniiai? iieiaeaiiy oa ?acoeueoaoe
?iaioe aeiiia?aeaeeny ? io?eiaee iiceoeaio ioe?ieo ia iaoeiai-oaoi?/ieo
eiioa?aioe?yo oa nai?ia?ao: “Iooe iiauoaiey ea/anoaa iiaeaioiaee
nooaeaioia ii iaoaieea” (i. Oiaeueieoeueeee, 1990), eiioa?aioe??
iieiaeeo a/aieo oa nooaeaio?a (i. Ee?a, 1995), “I?iaeaie no/aniiai
iaoeiiaoaeoaaiiy” (i. Oiaeueieoeueeee, 1996), “Aei??thaaeueia oa
ia/enethaaeueia oaoi?ea a oaoiieia?/ieo i?ioeanao” (i. Oiaeueieoeueeee,
1997), “Aeeiai?ea ?ioi?ieo nenoai” (i. Eai`yiaoeue-Iiae?euenueeee, 1996,
1998), X Anana?oiueiio Eiia?an? IFToMM (i. Ioeo, O?ieyiae?y, 1999).

Ioae?eaoe??. ?acoeueoaoe ?iaioe iioae?eiaaii a 12 noaooyo iaoeiaeo
aeo?iae?a, ? iiceoeaia ??oaiiy i?i aeaea/o iaoaioa ia aeiao?ae.

No?oeoo?a e ianya ?iaioe. Aeena?oaoe?y neeaaea?oueny ?c anooio,
/ioe?ueio ?icae?e?a, caaaeueieo aeniiae?a oa nieneo e?oa?aoo?e.

?iaioa aeeiiaia ia 119 noi??ieao iaoeiiieniiai oaenoo, i?noeoue 34
?enoiee, 2 oaaeeoe?, 2 aeiaeaoee oa nienie aeei?enoaieo aeaea?ae c 112
iaeiaioaaiue. Caaaeueiee ia’?i aeena?oaoe?? 131 noi??iea.

INIIAIEE CI?NO ?IAIOE

O anooi? iaa?oioiaaii aeooaeuei?noue aeena?oaoe?eii? ?iaioe, aecia/aii
?? iaoo, iaaaaeaii a?aeiiino? i?i iaoeiao iiaecio oa i?aeoe/io
oe?ii?noue.

A ia?oiio ?icae?e? i?iaaaeaii aiae?c no/aniiai noaio i?iaeaie aeiooaieo
eieeaaiue ?ioi?ieo iaoei oa cieaeaiiy ?o a?a?aoe?e, a oiio /ene? c?
ci?iiei aeenaaeainii ?ioi?a, oa oai??? ? i?aeoeee aaoiiaoe/iiai
aaeainoaaiiy.

Ia i?aenoaa? i?iaaaeaiiai aiae?co e?oa?aoo?ieo aeaea?ae oa aeoiaey/e ?c
iinoaaeaii? iaoe, noi?ioeueiaai? caaea/? ?iaioe.

O ae?oaiio ?icae?e? neeaaeaii ocaaaeueiaio iaoaiaoe/io iiaeaeue aeey
iaoei c aa?oeeaeueiith a?nnth iaa?oaiiy ?ioi?a. ?iai/ee i?aai
i?aaenoaaeaii o aeaeyae? nenoaie ieaooi?ia-?ioi?, yea ia
aeaoi?io?oueny,oa i?aea?oaia aei ?aie iaoeie /a?ac aeia?eueio
e?euee?noue i?aea?nie c e?i?eieie i?oaeieie oa?aeoa?enoeeaie (?en. 1),
ui aeanoeaa aeey i?aeueii-a?aeaeeiieo iaoei.

?en. 1 Aeeiai?/ia iiaeaeue iaoei c aa?oeeaeueiith

a?nnth iaa?oaiiy

?icaeyiooi caaaeueiee aeiaaeie, eiee nenoaia ieaooi?ia-?ioi? ia? o?noue
nooiai?a a?eueiino? ? ca’yci?noue eieeaaiue ii an?o ocaaaeueiaieo
eii?aeeiaoao. Ca ocaaaeueiai? eii?aeeiaoe i?eeiyoi o?e aeaea?oia?
eii?aeeiaoe oeaio?a ?ia?oe?? ieaooi?ie oa o?e eooe , , , ye? caaeathoue
iiai?ioe aieiaieo oeaio?aeueieo inae ieaooi?ie a1, a1, n1 a?aeiinii
ia?ooiieo inae eii?aeeiao X1, Y1, Z1.

Ia i?aenoaa? ??aiyiue Eaa?aiaea 2-ai ?iaeo io?eiai? aeeoa?aioe?aeuei?
??aiyiiy eieeaaiue, ye? o iao?e/i?e oi?i? iathoue aeaeyae:

wmetafile8? ??b???????????
???????????yyy????.????1?????? ???????
` ???&??yyyy?????Ayyy·yyy`???? ???&?
?MathType??`????uAy????aea wmetafile8? ??j???????????
???????????yyy????.????1?????? ??????? A@
???&??yyyy?????Ayyy«yyy? ??k?? ???&?
?MathType??`????uAy????wmetafile8? ?????????????
???????????yyy????.????1?????? ???????
`a???&??yyyy?????Ayyy1/4yyy ?? ?? ???&? ?MathType??
wmetafile8?
??z??????????? ???????????yyy????.????1??????
??????? `  ???&??yyyy?????Ayyy¤yyy` ???? ???&? ?MathType??
???u?y????wmetafile8? ?????????????
???????????yyy????.????1?????? ???????
` ???&??yyyy?????Ayyy1/4yyy`?? ?? ???&? ?MathType??
wmetafile8?
????????????? ???????????yyy????.????1??????
??????? `????&??yyyy?????Ayyyµyyy@???? ???&?
?MathType??`????u?y????D — iao?eoey aeaiiooaaiiy, yea ia?
no?oeoo?o, aiaeia?/io iao?eoe? E;

G — iao?eoey a??ineii?/ieo eiao?oe??io?a;

Q — iao?eoey ocaaaeueiaieo neeiaeo oaeoi??a.

Aeaiaioe iao?eoe? (2):

[M1] — caaaeai? eiao?oe??ioe ian:

wmetafile8?
??|??????????? ???????????yyy????.????1??????
???????   $???&??yyyy?????Ayyy?yyya#??I?? ???&?
?MathType??????u?y????[M2], [M3] — noaoe/i? iiiaioe ian:

wmetafile8? ??b???????????
???????????yyy????.????1?????? ???????
a /???&??yyyy?????Ayyyµyyy`/??•?? ???&?
?MathType??A???u?y????[M4] — iiiaioe ?ia?oe?? nenoaie:

wmetafile8?
??Ae??????????? ???????????yyy????.????1??????
??????? a@

???&??yyyy?????Ayyyµyyy?

??•?? ???&? ?MathType??A???u?y????Eeaiaioe iao?eoe?
a??ineii?/ieo eiao?oe??io?a:

wmetafile8? ??
Eeaiaioe iao?eoe? (3):

wmetafile8? ??»???????????
???????????yyy????.????1?????? ???????
`A???&??yyyy?????Ayyyµyyy????? ???&?
?MathType??`????u?y????
wmetafile8? ??U???????????
???????????yyy????.????1?????? ???????
 @???&??yyyy?????Ayyycyyy???B?? ???&?
?MathType???????u?y????
wmetafile8? ??u???????????
???????????yyy????.????1?????? ???????
a ???&??yyyy?????Ayyy«yyy`??‹?? ???&?
?MathType???????u?y???? *ei a?eueo? cia/aiiy iicaae?aaiiaeueieo
aeaiaio?a a no?oeoo?? a?aeiia?aeieo iao?eoeue, oei aeua ca’yci?noue
eieeaaiue, ui ia i?aeoeoe? oneeaaeith? a?a?i?cieyoe?th iaoeie. Oiio
aaaeaii ia?aoai?eoe a ioeue iicaae?aaiiaeuei? aeaiaioe iao?eoeue, oiaoi
?icae?eeoe eieeaaiiy ii ocaaaeueiaieo eii?aeeiaoao. Aeaiaioe iao?eoeue E
? D iiae?eai? ia o?e a?oie. Aeey iao?eoe? E aeaiaioe noia?ii?
aei?noeino? oa e?ooeeueii? aei?noeino? ia?aoai?youeny a ioeue oiae?,
eiee eii?aeeiaoi? ieiueie, ui i?noyoue a nia? aieiai? in? ?ia?oe??
?ioi?a, aoaeooue ieiueiaie neiao??? i?aea?nee nenoaie ieaooi?ia-?ioi?.
Oea ni?aaaaeeeai ? ii a?aeiioaiith aei iao?eoe? aeaiiooaaiiy D.

Aeey ia?aoai?aiiy a ioeue aeaiaio?a iao?eoe? ?ia?oe?eieo eiao?oe??io?a
I iaiao?aeii, uia aieiai? oeaio?aeuei? in? ?ia?oe?? ?ioi?a aoee
aieiaieie oeaio?aeueieie inyie an??? nenoaie ieaooi?ia-?ioi?. A
caaaeueiiio aeiaaeeo ocaaaeueiai? neeia? oaeoi?e ii eii?aeeiaoao , ,
iiaeii? ia?aoai?eoenue a ioeue, ui ? aoaea icia/aoe iaeo
a?a?iaeoeai?noue nenoaie ieaooi?ia-?ioi?. Ia i?aeoeoe? oey oiiaa
aeeiio?oueny /anoeiai /a?ac aeiaaeeiaa ?icoaooaaiiy aeenaaeaino a
aa?aaai?.

Ia i?aenoaa? i?iaaaeaiiai aiae?co aeeoa?aioe?aeueieo ??aiyiue
noi?ioeueiaaii iniiai? aeiiae aei eiino?oeoe?e iaoei c iecueeith
a?a?iaeoeai?noth, ye? iieyaathoue o ianooiiiio:

— noi?uaiiy oeaio??a ian /anoei eieeaaeueii? nenoaie, ui iaa?oathoueny ?
oeo, ui iaiaa?oathoueny;

— neiao?e/ia ?icoaooaaiiy aeaiioa??a oa i?oaeieo i?aea?nie a?aeiinii
eii?aeeiaoieo ieiuei, aea eaaeaoue aieiai? oeaio?aeuei? in? ?ia?oe??;

— iaea aei?noe?noue i?oaeieo ou?eueithth/eo aeaiaio?a, ye? c’?aeiothoue
?ioi? oa ei?ion;

— ieaooi?io ne?ae anoaiiaethaaoe ia aa?oeeaeueii ?icoaoiaaieo i?aea?nao.

A o?aoueiio ?icae?e? iienaii oa ?ic?iaeaii iaoiaeeeo ? caniae aeey
i?iaaaeaiiy aenia?eiaioaeueieo aeine?aeaeaiue eieeaaiue iaoei c
aa?oeeaeueiith a?nnth iaa?oaiiy c? ci?iiei aeenaaeainii ?ioi?a. Ca
ia’?eo aeine?aeaeaiue aea?aii i?aeueii-a?aeaeeiio iaoeio «Aieaa-11».
Aiia i?aaenoaaey? niaith iniaeeaee ?ioa?an: c iaeiiai aieo, aeaoaaa oa
i?inoa ca eiino?oeoe??th, a c ?ioiai — iecueea oaoiieia?y aeaioiaeaiiy
oa neeaaeaiiy aea? aaeeeee ?iceeae oaoi?/ieo ia?aiao??a iaoei ? ooai?th?
neeaaeio eieeaaeueio nenoaio, a ye?e cacaeaeaa?aeue caeeaaeaii
aeenaaeain. Anoaiiaeaii, ui a aeai?e eiino?oeoe?? iaoeie ia? i?noea
aaeeea ca’ci?noue eieeaaiue, ?aciiainia /anoioa neeaaea? aeecueei 3 Aoe.
Ana oea i?ecaiaeeoue aei oiai, ui i?e iaaaeae?e ?iceeaaeoe? a?eecie
iaiiaeeeai cae?enieoe aeo?ae ia ?aaeei a?aeaeeio.

Aeeiiaii aenia?eiaioaeuei? aeine?aeaeaiiy oa cai?iiiiiaaii eiiieaen
caoiae?a ii cieaeaiith a?a?aoe?e iaoeie “Aieaa-11”, aeoiaey/e c
?aeiiaiaeaoe?e, aeeeaaeaieo o ?icae?e? 2.

Aeey cieaeaiiy ca’yciino? eieeaaiue ? a?a?iaeoeaiino? iaoeie i?iaaaeaii
ianooii? caoiaee: anoaiiaeaii i?ioeaaao ianith 3 ea aeey niieo/aiiy
oeaio?a ian ieaooi?ie c a?nnth iaa?oaiiy aa?aaaia; aeei?enoaii i?oaeeie
iaeiaeiai? aei?noeino?, ui caaei oeaio? aei?noeino? i?aea?nieo aeaiaio?a
aei in? iaa?oaiiy aa?aaaia; aeey cieaeaiiy ?aciiainii? /anoioe
aeaioiaeaii ? anoaiiaeaii ae?ao?aaio c aoiiaiai iaoa??aeo, yea ia ia?
caeiaeueii? aei?noeino?. Iiaoaeiaai? aiie?ooaeii-/anoioi? oa?aeoa?enoeee
(A*O) ?iaioe iaoeie c a?aooaaiiyi ?ic?iaeaieo eiino?oeoeaieo ??oaiue
iieacaee, ui ?aciiainia /anoioa eieeaaiue cieceeanue c 3 Aoe iaeaea aei
2 Aoe, a a?a?aoe?? ?ioi?a ia ?aciiain? — iaeaea a 1,5 ?ace (?en. 2).

A /aoaa?oiio ?icae?e? iienaii aenia?eiaioaeuei? oa oai?aoe/i?
aeine?aeaeaiiy iiaaae?iee ?iai/eo o?e a AAI. ?ic?iaeaii noaiaee oa
iaoiaeeeo aeine?aeaeaiiy ca aeiiiiiaith oaeaee?nii? a?aeaiceiiee.

Niinoa?aaeaiiy ca ?iaioith aenia?eiaioaeueii? onoaiiaee, ia ye?e aoei
anoaiiaeaii AAI, iieacaei, ui anoia?a/ a?aeiiei iieiaeaiiyi oai???
aaoiiaoe/iiai aaeainoaaiiy ?aaeuei? eiino?oeoe?? AAI ciaioothoue
aiie?ooaee eieeaaiue ?ioi?a ye ia aeie?eoe/ieo oa cae?eoe/ieo /anoioao
iaa?oaiiy, oae ? ia ?aciiain?.

Aeey a?eueo aeaoaeueiiai aeine?aeaeaiiy oeueiai yaeua ?ic?iaeaii noaiae
aeey aea/aiiy iiaaae?iee ?iai/eo o?e a AAI (?en. 3), a neeaae yeiai
aoiaeyoue: aeine?aeia onoaiiaea c aa?oeeaeueiith a?nnth iaa?oaiiy ia
aac? iaoeie «Aieaa-11″, iaeao AAI ?c iioe/ii-i?ici?iai iaoa??aeo,
a?a?iiao?e IE-19, inoeeeia?ao AA-10I, oeaeoiaee inoeeeia?ao I071.4I,
no?iaineii NO-1, oaeaee?nia a?aeaieaia?a Panasonic NC-HC 1000,
ia?niiaeueiee eiii’thoa? IBM. Caione a?aeaieaia?e neio?ii?ciaaii c
aeeth/aiiyi aeine?aeii? onoaiiaee oa oeaeoiaiai inoeeeia?aoa.

?en. 2 A*O eieeaaiue aa?oiueiai e?ath aa?aaaia i?e

aeenaaeain? 9,5 eani (1-na??eiee aa??aio; 2-i?ney aei?iaee i?aea?nee)

Ia?iaea io?eiaieo ?acoeueoao?a cae?enithaaeanue oeyoii ia?aaeyaeo ia
eiii’thoa?? oa c?noaaeaiiy caieno no??/ie a?aeaieaia?e oa inoeeeia?aoa.
A ?acoeueoao? ?icoeo?iaee aeaieo io?eiai? eiii’thoa?i? eaae?e i?noeue
?icoaooaaiiy ?iai/eo o?e ia aeie?eoe/ieo, e?eoe/ieo oa ?iai/eo /anoioao
iaa?oaiiy. I?eeeaaee eaae??a i?aaenoaaeaii ia ?en. 4, c yeeo aeaeii, ui
“iai?ai?nyoeue” ??aeeie ?icoaoiao?oueny iaai?ioe aeenaaeaino.

Aiae?c io?eiaieo iaoa??ae?a iieacaa, ui niinoa??aa?oueny ??cieoey o /an?
aeeth/aiiy a ?iaioo ??aeeeo oa oaa?aeeo ?iai/eo o?e, oiio ia aoai?
?icaiio AAI iaaaaeo? oe?ieinioaiaee aeeiai?/iee aaniee eieeaaiue. I?e
oiia? a?aenooiino? eooiaiai i?enei?aiiy aaea ia /anoio? 1,2-1,6 Aoe
(70-100 ia/oa.), ui a?aeiia?aea? aei?aciiaini?e /anoio? eieeaaiue,
?iai/? o?ea i?eieiythoue na?e ?oo a?aeiinii no?iie AAI ?
anoaiiaeththoueny iai?ioe aeenaaeaino. A oiae? niinoa?aaeaiue ca
?iaioith AAI iii?/aii, ui ci?ia ieiaeaiiy aeenaaeaino i?ae /an ?iaioe
?ioi?a

1 — iaeao AAI; 5 — ?iaeoeoe?eiee aeao/ee;

2 — a?aeaieaia?a; 6 — aei??thaa/ iaa?o?a;

3 — no?iaineii ; 7 — a?a?iaeao/eee

4 — eaiia ?icaea?thaaiiy;

?en. 3 Noaiae aeey aeine?aeaeaiiy iiaaae?iee

?iai/eo o?e a AAI

i?ecaiaeeoue aei ci?ie iieiaeaiiy ?iai/eo o?e. I?e oeueiio eoeueee
oaeaeoa ca ??aeeio ?aaaothoue ia ci?ie, caeaaeaeothoue a?a?aoe??,
aeeeeeai? ci?iith aeenaaeaino, ? aeia??aiiaaaeothoue ?ioi?. ??aeeia
aiane?aeie ?ia?oe?eiino? ?aaao? iia?euei?oa ? caeaaeaeo? a?a?aoe??
?ioi?a, aeeeeeai? aeaniei ia?ai?uaiiyi eoeueie. Oea aea? ciiao
?aeiiaiaeoaaoe aeey aeei?enoaiiy c iaoith cieaeaiiy a?a?aoe?e iaoei c?
ci?iiei aeenaaeainii ?ioi?a naia eiia?iiaai? AAI, ye iaea?eueo
aoaeoeai?.

I?aaenoaaeaii iaaeeaeaio iaoaiaoe/io iiaeaeue, yea aia?oa a?aoiao?
a?ae?aae?/i? aeanoeaino? ??aeeie, cie?aia caeii Ianeaey, iiynith? ??
iiaaae?ieo i?ae /an ?iaioe a aaoiaaeaine??.

?en. 4 ?icoaooaaiiy ?iai/eo o?e aei ?aciiaino (a), ia ?aciiain? (a)

oa ia ?iai/eo /anoioao (a) iaa?oaiiy ?ioi?a

?icaeyiooi noaio, a ye?e aaoiaaeaine? ?aae?ona R iinaaeaeaii ia
aa?oeeaeueio a?nue iaa?oaiiy c aenoeaio?eneoaoii a (?en.5). Oi/ea I’ —
oeaio? aaae aaoiaaeaine?a, oi/ea I — oeaio? iaa?oaiiy. Iayai?noue
i?iaeio ia aiineoue i?eioeeiiaeo ci?i a iiaoaeiao iaoaiaoe/ii? iiaeae?
aeaii? caaea/?, oiio ?icaeyaea?oueny aeiaaeie a?aenooiino? i?iaeio.

I?e iaa?oiaiio ?on? ia o?ei ae?? a?aeoeaio?iaa neea. Aiaea i?ae ae??th
a?aeoeaio?iai? neee aoaea aeaeaaethaaoeny ?c ciie aaeeeiai oeneo o ciio
c iaioei oeneii, i?ioeeaaeio aeenaaeaino, aei oeo i??, iiee,
a?aeiia?aeii aei caeiio Ianeaey, ?? ae?y ia ae??aiy?oueny o anueiio
ia’?i?, caeiyoiio aiaeith. ?iaeoa eaaeo/e, ooo ia? i?noea caeii
niieo/aieo iinoaeei.

Oiaoi a on?o oi/eao oa?o, i?eoeniooiai aei no?iee aaoiaaeaine?a, oene
aoaea iaeiaeiaee, a a oi/eao a?eueii? iiaa?oi? oene caaaeaee aei??aith?
aoiinoa?iiio.

?icaeyiooi ai?eciioaeueiee ia?aoei aaoiaaeaine?a oa ciaeaeaii oi?io
a?eueii? iiaa?oi? ??aeeie. Ooeaia ??aiyiiy ia? aeaeyae:

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??????? aA???&??yyyy?????Ayyy?????i?? ???&?
?MathType??°? ???u?????????»????-?????F…???*¶ ???u??
???????»????-????2¶???aey???-?????ae???ae?c???
ae?c???ae?Z???uya?????aea V — ia’?i ??aeeie;

h — aenioa noiaia ??aeeie.

?en. 5 ?ic?aooieiaa noaia

??aeeiiiai aaoiaaeaine?a

Io?eiaia ??aiyiiy ? e?eaith 4-ai ii?yaeeo — ?aaeee Ianeaey.

Aeine?aeaeaiiy ia aeno?aioi iieacaei, ui iaea?eueoa aenioa noiaia aoaea
a oi/oe?, i?ioeeaaei?e aeenaaeaino, ? caeaaeeoue a?ae ?ici???a R, e, V ?
h.

??aeeia c??aiiaaaeo? naio naaa (a?aeaoaa?oueny naiiaaeainoaaiiy) ?
/a?ac oea oaeiae /anoeiai aeenaaeain. Aeey a?eueoiai c??aiiaaaeoaaiiy
aeenaaeaino, i/aaeaeii, iaiao?aeii ?ic?iaeyoe eiino?oeoe??
aaoiaaeaine??a, o yeeo eaia?e ?icoaoiaai? aa?oeeaeueii iaeia iaae
iaeiith aai eiioeaio?e/ii. Aeoiaey/e c io?eiaieo a oiae?
aenia?eiaioaeueieo oa oai?aoe/ieo aeine?aeaeaiue ?acoeueoao?a,
?ic?iaeaii eiia?iiaaiee ??aeeiii-eoeueeiaee AAI (?en. 6) aeey iaoeie
«Aieaa-11».

?en. 6 Eiia?iiaaiee ??aeeiii-

eoeueeiaee AAI

Aeei?enoaiiy oaeiai AAI ?acii c io?eiaieie ?ai?oa eiino?oeoeaieie
??oaiiyie c? cieaeaiiy a?a?aoe?e iaoei aeicaiey? cieceoe aiie?ooaeo
eieeaaiue ia ?aciiain? iaeaea a 3 ?ace, a ia ?iai/eo /anoioao iaa?oaiiy
a 2,5 ?ace (?en. 7).

?en. 7 A*O aa?oiueiai e?ath ?ioi?a i?e aeenaaeain? 9500 ani

aeey na??eiiai aa??aioa (1) oa i?ney aei?iaee i?aea?nee (2)

nenoaie ieaooi?ia-?ioi?

AENIIAEE

1. ?ic?iaeaii iaoaiaoe/io iiaeaeue eieeaaiue iaoei c aa?oeeaeueiith
a?nnth iaa?oaiiy, yea a?aoiao? oeie i?aea?nieo aeaiaio?a, ?icoaooaaiiy ?
aaee/eio aeenaaeaino oa ca’yci?noue eieeaaiue ii an?o ocaaaeueiaieo
eii?aeeiaoao.

2. Oai?aoe/ii io?eiai? oa aenia?eiaioaeueii i?aeoaa?aeaeai? aeiiae aei
eiino?oeoe?e iaoei c iecueeith a?a?iaeoeai?noth, ye? iieyaathoue a
ianooiiiio: noi?uaiiy oeaio??a ian /anoei eieeaaeueii? nenoaie, ui
iaa?oathoueny ? oeo, ui ia iaa?oathoueny; neiao?e/ia ?icoaooaaiiy
aeaiioa??a oa i?oaeieo i?aea?nie a?aeiinii eii?aeeiaoieo ieiuei, ye?
i?noyoue a nia? aieiai? oeaio?aeuei? in? ?ia?oe??; ou?eueithth/?
aeaiaioe, ye? c’?aeiothoue ?ioi? oa ei?ion, iiaeii? aooe
aacaei?noe?nieie; ieaooi?io ne?ae anoaiiaethaaoe ia aa?oeeaeueii
?icoaoiaaieo i?aea?nao.

3. Aeyaeaii i?ioe??//y i?ae oai???th oa i?aeoeeith aaoiiaoe/iiai
aaeainoaaiiy, yea iieyaa? a o?i, ui anoia?a/ oai?aoe/iei iieiaeaiiyi,
??aeeiiee oa neieee AAI cieaeo? a?a?aoe?? ye ia aei?aciiaini?e /anoio?
iaa?oaiiy ?ioi?a, oae ? ia ca?aciiaini?e oa naiiio ?aciiain?.

4. Aia?oa i?iaaaeaii oaeaee?nio a?aeaiceiieo ?ooo ?iai/eo o?e a AAI ?
anoaiiaeaii, ui ??aeeii? oa neie? ?iai/? o?ea ?icoaoiaothoueny iaai?ioe
aeenaaeaino ye ia aei?aciiainieo /anoioao iaa?oaiiy, oae ? ia
ca?aciiainieo ? ia naiiio ?aciiainieo.

5. Cai?iiiiiaaii iiao iaoaiaoe/io iiaeaeue oa oai?aoe/ia o?aeooaaiiy
?iaioe ??aeeiiiai AAI, ui a?oioo?oueny ia a?aooaaii? a?ae?aae?/ieo
aeanoeainoae ??aeeie ? iiynith? aeniiaie 3.

6. Oai?aoe/ii oa aenia?eiaioaeueii iieacaii aeioe?euei?noue noai?aiiy
eiia?iiaaiiai aaaaoieaia?iiai aaeaine?a.

7. ?acoeueoaoe oai?aoe/ieo oa aenia?eiaioaeueieo aeine?aeaeaiue
ai?iaaaeaeai? a eiino?oeoe?th i?aeueii-a?aeaeeiii? iaoeie «Aieaa-11».
Aaaaeaiiy aacaei?noe?nii? ae?ao?aaie, iaeiaaaa?eoieo i?aea?nieo
aeaiaio?a, iiaiai eiiiiioaaiiy ian oa aei?noeinoae ia ieaooi?i?,
eiia?iiaaiiai AAI aeicaieeei cieceoe a?a?aoe?? iaoeie ia iaioa, i?ae a
2,5 ?ace oa caaacia/eoe ?? no?eeee aeo?ae ia ?iai/? /anoioe iaa?oaiiy.

NIENIE IIOAE?EIAAIEO I?AOeUe CAeIAOAA*A

CA OAIITH AeENA?OAOe??

1. ?ieciai A. I., Iaeea?i I. A., *ieianueeee ?. A. Iaoaiaoe/ia iiaeaeue
??aeeiiiai aaoiaaeainoth/iai i?eno?ith // A?niee Oaoiieia?/iiai
oi?aa?neoaoo Iiae?eey. Na?. 3. Nioe?aeueii-aoiai?oa?i? ? i?e?iaeie/?
iaoee. — 1997. — ?1. — N. 59-63.

2. *ieianeee ?.A. Iaoiae nieaeaiey aea?aoeee iaoei n eciaiythueiny
aeenaaeainii ?ioi?a // Aei??thaaeueia oa ia/enethaaeueia oaoi?ea a
oaoiieia?/ieo i?ioeanao. — 1997. — ?1. — N. 23-25.

3. *ieianueeee ?.A. Iaoaiaoe/ia iiaeaeue ?ioi?a c eoeueeiaei
aaoiaaeainoth/ei i?eno?i?i // A?niee Oaoiieia?/iiai oi?aa?neoaoo
Iiae?eey. — 1998. -?1. — N. 69-72.

4. *ieianueeee ?. A., I?e?o?i I.I. Onoaiiaea aeey aeine?aeaeaiiy
i?ioeano aaoiaaeainoaaiiy i?aeueii-a?aeaeeiieo iaoei // A?niee
Oaoiieia?/iiai oi?aa?neoaoo Iiae?eey. — *ano. 2. — Niaoe. Aeione. — ?4.
— 1998. — N. 151-152.

5. ?ieciai A.I., Ai?ei E.A., Iaeuaei A.A., *ieianeee ?.A. Iaoaiaoe/aneay
iiaeaeue ?aaiou aeeaeeinoiiai aaoiaaeaine?a // Na. o?. 2-e iaaeaeoia?.
eiio. «Aeeiaieea ?ioi?iuo nenoai». — Eaiaiaoe-Iiaeieueneee, 1998. — N.
86-90.

6. ?ieciai A.I., Ai?ei ?.A., Iaeea?i I.A., *ieianueeee ?.A.
Aenia?eiaioaeuei? aeine?aeaeaiiy ?iaioe aaoiaaeaine?a // Na. o?. 2-e
iaaeaeoia?. eiio. «Aeeiaieea ?ioi?iuo nenoai». — Eaiaiaoe-Iiaeieueneee,
1998. — N. 91-95.

7. *ieianueeee ?. A., I?e?o?i I. I. Iaoiaeeea oaeaee?nii? a?aeaiceiiee
?iaioe aaoiaaeainoth/iai i?eno?ith // A?niee Oaoiieia?/iiai oi?aa?neoaoo
Iiae?eey. Na?. 3. Nioe?aeueii-aoiai?oa?i? ? i?e?iaeie/? iaoee. — 1997. —
?1. — N. 56-58.

8. ?ieciai A. I., Iaeuaei A. A., *ieianeee ?. A. Iaoaiaoe/aneea iiaeaee
noe?aeueii-ioaeeiiuo iaoei // I?iaeaie no/aniiai iaoeiiaoaeoaaiiy. — Ca.
— Oiaeueieoeueeee: OOI , 1996. — N. 119-120.

9. ?ieciai A. I., Iaeuaei A. A., *ieianeee ?. A. Nieaeaiea
aea?iaeoeaiinoe noe?aeueiie iaoeiu «I?eii?uea» I?iaeaie no/aniiai
iaoeiiaoaeoaaiiy. — Ca. — Oiaeueieoeueeee: OOI , 1996. — N. 120-121.

10. ?ieciai A. I., Iaeea?i I. A., *ieianueeee ?. A. Aeine?aeaeaiiy
?iaioe AAI ia ?ioi?? c ai?eciioaeueiith a?nnth iaa?oaiiy // A?niee
Oaoiieia?/iiai oi?aa?neoaoo Iiae?eey. — *ano. 2. — Niaoe. Aeione. — ?4.
— 1998. — N. 143-145.

11. Silin R., Royzman V., Malygin A., Borko I., Tholovsky R. The
research the automatic balancing Process of Rotors with vertical axis of
rotation // Tenth world congress on the theory of machine and
mechanisms, Oulu, Finland, 1999.

12. Silin R., Royzman V., Malygin A., Tholovsky R. Method and device for
providing the operation of washing machines without increased vibrations
// Tenth world congress on the theory of machine and mechanisms, Oulu,
Finland, 1999.

13. ??oaiiy i?i aeaea/o iaoaioo ia aeiao?ae, IIE 6 D 06 F 33/02, D 06 F
37/00 Nenoaia ea?oaaiiy i?ioeanii ?iceeaaeee oa a?aeaeeio a?eecie / A.I.
?ieciai, I.A. Iaeea?i., ?.A. *ieianueeee (Oe?a?ia). — ?a?no?. iiia?
97084340 / Cayaeaii 21.08.97.

AIIOAOe??

*ieianueeee ?.A. A?a?aoe?? oa aaoiiaoe/ia aaeainoaaiiy iaoei ?c
aa?oeeaeueiith a?nnth iaa?oaiiy ? ci?iiei aeenaaeainii ?ioi?a. —
?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa oaoi?/ieo iaoe
ca niaoe?aeuei?noth 05.02.02 — Iaoeiiciaanoai. — Oaoiieia?/iee
oi?aa?neoao Iiae?eey, Oiaeueieoeueeee, 1999.

?icaeyaeathoueny ieoaiiy cieaeaiiy a?a?aoe?e iaoei ? oai??? oa i?aeoeee
aaoiiaoe/iiai aaeainoaaiiy. Neeaaeaia iaoaiaoe/ia iiaeaeue iaoei ?c
aa?oeeaeueiith a?nnth iaa?oaiiy oa a oiae? ?? aiae?co ?ic?iaeai? aeiiae
aei eiino?oeoe?e ?c iecueeith a?a?iaeoeai?noth.

Aeyaeaii i?ioe??//y i?ae oai???th ? i?aeoeeith aaoiiaoe/iiai
aaeainoaaiiy. Io?eiai? ca aeiiiiiaith eiii’thoa?ii? ? a?aeaioaoi?ee
eaae?e ?icoaooaaiiy ?iai/eo o?e iieacaee, ui ?iai/? o?ea
a??aiiaaaeothoue ?ioi? ye ca ?aciiainii, oae ? aei ?aciiaino ? ia
?aciiain?. Cai?iiiiiaaii iiaa iiyniaiiy iiaaae?iee ??aeeie a aaeaine??,
yea a?aoiao? ?? a?ae?aae?/i? aeanoeaino?. Ia i?aenoaa? i?iaaaeaieo
aeine?aeaeaiue aeey iaoeie «Aieaa-11» ?ic?iaeai? eiino?oeoeai?
??oaiiy, ui cieaeothoue ?? a?a?aoe?? ia iaio, i?ae o 2,5 ?ace.

Eeth/ia? neiaa: a?a?aoe?y, ?ioi?, aaoiiaoe/ia aaeainoaaiiy, aaeaine?.

*ieianeee ?.A. Aea?aoeee e aaoiiaoe/aneay aaeaine?iaea iaoei n
aa?oeeaeueiie inueth a?auaiey e eciaiythueiny aeenaaeainii ?ioi?a. —
?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa oaoie/aneeo iaoe
ii niaoeeaeueiinoe 05.02.02 — Iaoeiiaaaeaiea. — Oaoiieiae/aneee
oieaa?neoao Iiaeieuey, Oiaeueieoeeee, 1999.

?anniao?eaathony aii?inu nieaeaiey aea?aoeee iaoei, oai?ee e i?aeoeee
aaoiiaoe/aneie aaeaine?iaee. A aeenna?oaoeee a ea/anoaa iauaeoa
enneaaeiaaiee aua?aiu noe?aeueii-ioaeeiiua iaoeiu i?iecaiaenoaa no?ai
NIA. I?e ninoaaeaiee aeeooa?aioeeaeueiuo o?aaiaiee eieaaaiee
eniieueciaaia aeeiaie/aneay iiaeaeue, i?aaenoaaeythuay niaie oeiiaoth
eiino?oeoeeth oeaio?eooa, naia?aoi?ia, noe?aeueii-ioaeeiiuo iaoei e o.i.
?anniio?ai iauee neo/ae, eiaaea nenoaia eiaao oanoue noaiaiae naiaiaeu e
nayciinoue eieaaaiee ii anai iaiauaiiui eii?aeeiaoai. Ia iniiaaiee
o?aaiaiee Eaa?aiaea 2-ai ?iaea iieo/aiu aeeooa?aioeeaeueiua o?aaiaiey
eieaaaiee iaoei n aa?oeeaeueiie inueth a?auaiey a iao?e/iii aeaea.
Iaee/ea aiaaeeaaiiaeueiuo yeaiaioia a no?oeoo?a niioaaonoaothueo iao?eoe
naeaeaoaeuenoaoao i aunieie nayciinoe eieaaaiee, /oi ia i?aeoeea anaaaea
oneiaeiyao aea?iecieyoeeth iaoeiu. Aeey ono?aiaiey nayciinoe eieaaaiee
aiaaeeaaiiaeueiua yeaiaiou aeieaeiu auoue ?aaiu ioeth, /oi icia/aao
?acaeaeaiea eieaaaiee ii iaiauaiiui eii?aeeiaoai. Ia iniiaaiee aiaeeca
aeeooa?aioeeaeueiuo o?aaiaiee noi?ioee?iaaiu o?aaiaaiey e eiino?oeoeeyi
iaoei n ieceie aea?iaeoeaiinoueth, eioi?ua caeeth/athony a neaaeothuai:
niaiaaeaiea oeaio?ia iann a?auathueony e iaa?auathueony /anoae
eieaaethuaeny nenoaiu; neiiao?e/iia ?aniieiaeaiea aeaiioa?ia e oi?oaeo
iiaeaanie ioiineoaeueii eii?aeeiaoiuo ieineinoae, niaea?aeaueo aeaaiua
oeaio?aeueiua ine eia?oeee; oi?oaea oieioiythuea yeaiaiou, niaaeeiythuea
?ioi? e ei?ion, aeieaeiu auoue aacaeanoeinoiuie; ieaooi?io neaaeoao
onoaiaaeeaaoue ia aa?oeeaeueii ?aniieiaeaiiuo iiaeaanao. Enoiaey ec
iieo/aiiuo o?aaiaaiee, i?iaaaeaia yenia?eiaioaeueiay i?iaa?ea
niioaaonoaey yoei o?aaiaaieyi eiino?oeoeee noe?aeueiie iaoeiu
“Aieaa-11”. Onoaiiaeaii, /oi a aeaiiie eiino?oeoeee iaoeiu eiaao
ianoi aieueoay nayciinoue eieaaaiee, ?aciiainiay /anoioa ninoaaeyao
ieiei 3 Aoe. Ana yoi i?eaiaeeo e oiio, /oi i?e iaoaea/iie ?aneeaaeea
aaeuey iaaiciiaeii inouanoaeoue auoiae ?ioi?a ia ?aai/ea /anoiou
a?auaiey. Aeey i?eaaaeaiey oi?oai-eia?oeeiiiuo oa?aeoa?enoee anae
nenoaiu e neiiao?ee i?aaeeiaeaii iiaia ?aniieiaeaiea iann e aeanoeinoae
ia ieaooi?ia. Oaeaea, i?aaeeiaeaia iiaay eiino?oeoeey oieioiythuae
aeeao?aaiu, niaaeeiythuae ?ioi? e aae, e eiino?oeoeee iiaeaaniuo
yeaiaioia oiaiueoaiiuo aaaa?eoia. Eniieueciaaiea auoaoeacaiiuo
oaoie/aneeo ?aoaiee i?eaiaeeo e nieaeaieth aiieeooaeu eieaaaiee aa?oiaai
e?ay ?ioi?a ia ?aciiaina a 1,5 ?aca, a nai ?aciiain niauaaony ni 180
ia/iei i?eaeeceoaeueii aei 120 ia/iei.

Auyaeaii i?ioeai?a/ea iaaeaeo oai?eae e i?aeoeeie aaoiiaoe/aneie
aaeaine?iaee, ninoiyuaa a oii, /oi niaeanii oai?ee aaoiiaoe/aneie
aaeaine?iaee, ?aai/ea oaea nieaeatho aea?aoeee ?ioi?a oieueei a
cae?eoe/aneie ciia a?auaiey. Aeey oiai, /oiau ?acia?aoueny a
ianiioaaonoaee oai?ee e i?aeoeee, i?aaeeiaeaii eniieueciaaoue
nei?inoioth aeaeainuaieo aeaeaeaiey ?aai/eo oae. Aeey yoeo oeaeae
?ac?aaioai noaiae aeey enneaaeiaaiey iiaaaeaiey ?aai/eo oae a
aaoiaaeaine?othuai ono?ienoaa n eniieueciaaieai nia?aiaiiie aeaeai e
eiiiuethoa?iie oaoieee. Iieo/aiiua aeaeaicaiene e eiiiuethoa?iua eaae?u
iieiaeaiey ?aai/eo oae a aaoiaaeaine?a iieacaee, /oi ?aai/ea oaea
o?aaiiaaoeaatho ?ioi? eae ca ?aciiainii, oae e aei ?aciiaina e ia naiii
?aciiaina. Oaea ia /anoioa 1,2 — 1,6 Aoe, /oi niioaaonoaoao
aei?aciiainiie /anoioa a?auaiey, i?e ionoonoaee oaeiaiai onei?aiey
?aai/ea oaea onoaiaaeeaathony i?ioea aeenaaeaina. A oiaea
yenia?eiaioaeueiuo enneaaeiaaiee eiiaeie?iaaiiiai aeeaeeinoii-oa?iaiai
aaoiaaeaine?othuaai ono?ienoaa caia/aii, /oi eciaiaiea iieiaeaiey
aeenaaeaina ai a?aiy ?aaiou i?eaiaeeo e eciaiaieth iieiaeaiey oa?eeia e
aeio?aaiiaaoeaaieth ?ioi?a. AEeaeeinoue ec-ca naiae eia?oeeiiiinoe
?aaae?oao iaaeeaiiae. I?e yoii iaaethaeaaony acaeiiia aeiiieiaiea
?aai/eie oaeaie ae?oa ae?oaa.

I?aaeeiaeaii iiaia iauyniaiea iiaaaeaiey aeeaeeinoe a aaeaine?a,
o/eouaathuaa aa aeae?aaee/aneea naienoaa, a /anoiinoe caeii Ianeaey.
Iieo/aii o?aaiaiea naiaiaeiie iiaa?oiinoe aeeaeeinoe, eioi?ia
i?aaenoaaeyao niaie e?eaoth 4-ai ii?yaeea — oeeoeo Ianeaey.

Ii?aaeaeaiea iaeneiaeueiiai e ieieiaeueiiai cia/aiey eneiiie ooieoeee
iieacaei, /oi iaeaieueoay aunioa noieaa aeeaeeinoe aoaeao a oi/ea,
i?ioeaiiieiaeiie aeenaaeaino. Yenia?eiaioaeueiua e oai?aoe/aneea
enneaaeiaaiey iiaaaeaiey ?aai/eo oae a aaoiaaeaine?a auyaeee
oeaeaniia?aciinoue eniieueciaaiey eiiaeie?iaaiiuo aaoiaaeaine?othueo
ono?ienoa aeey nieaeaiey aea?aoeee iaoei n eciaiythueiny aeenaaeainii ai
a?aiy ?aaiou. Niaianoiia eniieueciaaiea eiiaeie?iaaiiiai aaoiaaeaine?a n
?ac?aaioaiiuie ?aiaa eiino?oeoeaiuie ?aoaieyie ii nieaeaieth aea?aoeee
iaoeiu «Aieaa-11», iieo/aiiuo ia iniiaaiee o?aaiaaiee e eiino?oeoeeyi
iaoei n ieceie aea?iaeoeaiinoueth, iicaieeei nieceoue aa aea?aoeee ia
iaiaa, /ai a 2,5 ?aca ia anai aeeaiaciia /anoio a?auaiey ?ioi?a.

Eeth/aaua neiaa: aea?aoeey, ?ioi?, aaoiiaoe/aneay aaeaine?iaea,
aaeaine?.

Tcholovsky R.G. Vibration and automatic balancing of machines with
vertical rotation axis and varying rotor disbalance. — Manuscript.

Thesis on competition of a scientific degree of the candidate of
technical science on a speciality 05.02.02 — Machine engeneering. —
Technological university of Podillia, Khmelnitskiy, 1999.

The thesis is devoted to problems of machines’ vibration reduction and
both theory and practice of automatic balancing. In a thesis the
mathematical model of machines with vertical rotation axis is composed
and in a course of the analysis the requirements to constructions of
machines with low vibration activity are obtained. The inconsistency
between the theory and practice of automatic balancing is detected.
Obtained with the help of video and computer engineering the frames of
working bodies position have shown, that the working bodies
counterbalance a rotor both behind a resonance and up to a resonance,
and on a resonance. The new explanation of liquid behavior in the
balancer, taking into account its hydraulic properties is offered. On
the base of carried out researches for the machine «Volga — 11» the
constructional solutions lowering its vibrations not less than in 2,5
times are developed.

Key word: vibration, rotor, automatic balancing, balancer.

I?aeienaii aei ae?oeo 07.09.1999?. Oi.-ae?oe. a?e. — 1,09; iae.-aeae.
a?e. — 1,08.

Iaeeaae 100 i?ei. Caiiaeaiiy ? 267, 99?.

?aaeaeoe?eii-aeaeaaie/ee oeaio? OOI.

280016, i. Oiaeueieoeueeee, aoe. ?inoeooonueea, 7/1

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