myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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Sesaxeb. am pirobebis gamoyvanisas gamoiyeneboda daSveba imisSesaxeb, rom Rero brtyeli daZabuli mdgomareobis SemTxvevaSiRunvas ar ewinaaRmdegeba, xolo firfitebis ganivi Runvisasdakarguli aqvs grexiTi sixiste.analizuri funqciis Teoriis miRebuli amocana uSvebs,ZiriTadi brtyeli amocanebis msgavsad, amoxsnas Caketili saxiT,Tu firfitis are konformulad aisaxeba wreze racionalurifunqciis saSualebiT. es ilustrirdeba usasrulo firfitaSielifsuri naxvretis magaliTze.g. savinma da n. fleiSmanma (1964), agreTve m. Seremetievma(1960) ganixiles firfitis gaZliereba misi ganivi Runvisas sxvamasalis wvrili rgolebiT (sixistis wiboebi), romlebicganlagebulia firfitis SigniT. erTi wibos umartivesSemTxvevaSi gvaqvs Semdegi suraTi. wvrili mrudwiruli rgoli(ufro zustad, Sekruli drekadi wiri) mirCilulia firfitasTanmis Sida nawilSi. are, romelic firfitis Sua sibrtyes ukavia,iyofa am dros rgolis RerZis xaziT or bmul nawilad (Sida dagareTa am xazis mimarT). TiToeul am areSi saWiroa ganvsazRvroTkompleqsuri cvladis holomorfuli funqciebis wyvili firfitiskonturze, da agreTve rgolis xazze raime pirobebiT. SeuRlebispiroba am xazze unda SevadginoT firfitisa da Semamagrebelirgolis erToblivi muSaobis gaTvaliswinebiT (aseTi piroba samia)saboloo angariSSi oTxi holomorfuli funqciisgansazRvrisaTvis gvaqvs oTxi (110)-(112) saxis kompleqsuri piroba,romlebic Seicaven, garda mocemuli sidideebisa, rgolis RerZisrkalis orkompleqsur funqcias, romlebic ar aris mocemuliwinaswar. am gziT sixistis wiboebiT firfitis gaZlierebis Sesaxebamocana Seiswavleboda rig SemTxvevebSi. magaliTad, mrudwiruliwiboebis nebismieri ricxvis mqone mrgvali firfitisaTvisagebulia fredholmis gadawyvetadi integraluri gantoleba.zogierTi kerZo amocanebi (magaliTad, koncentrirebulisixistis wibos mqone mrgvali firfita, centraluri sixistis122
wibos mqone elifsuri firfita) ixsneba efeqturad mwkrivebismeTodiT.zemoT naxseneb g. savinis (1951), d. vainbergis (1952), m.Seremetievis (1960) da g. savinisa da n. fleiSmanis (1964)monografiebSi ganxilulia agreTve zogierTi sxva amocana,brtyeli daZabuli-mdgomareobisa da firfitebis Runvis Sesaxeb,rogorc izotropul, ise anizotropul SemTxvevebSi.gansakuTrebiT vrcladaa Seswavlili, magaliTad, sakiTxebi,romlebic dakavSirebulia anizotropuli masalis gavlenasTanelifsuri naxvretebis siaxloves Zabvebs koncentraciaze,Semamagrebeli elementebis parametrebis racionalur SerCevisSesaxeb, konturuli Seyursuli datvirTvebis mravalfenovandiskSi gavlenis Sesaxeb.n.musxeliSvilis ideebma didi gavlena moaxdines analizurfunqciaTa Teoriis sasazRvro amocanaTa da singularulintegralur gantolebaTa Teoriis problematikur damuSavebaze(T. gaxovis, i. vekuas, n. vekuas, a.biwaZis, d. kveselavas, b.xvedeliZis, l. maRnaraZis, g. manjaviZis da sxv. naSromebSi).igive ideebi ukanaskneli sami aTeuli wlis manZilzemtkiced ikidebs fexs elifsuri tipis kerZowarmoebulebiandiferencialur gantolebaTa zogad TeoriaSi (i. vekuas, z.xalilovis da sxv. naSromebi). kerZod, maT arsebiTi gamoyenebahpoves Txelkedliani sivrciTi sistemebis Teoriis sakiTxebSi.aRsaniSnavia l. muxaZisa da g. yifianis mimoxilviTixasiaTis statia `saqarTveloSi Txelkedliani sivrciTisistemebis Teoriis gamokvlevaTa mimoxilva~ (mecniereba dateqnika # 4-5. 1997).2.3.3. Sereuli da sakontaqto amocanebiSereuli da sakontaqto amocanebi ganekuTvnebiandrekadobis Teoriis yvelaze rTul amocanaTa ricxvs.kompleqsur cvladis funqciaTa Teoriis meTodebiT maTi123
Page 1 and 2:
aleqsandre daTuaSvilimyari deformad
Page 3 and 4:
საქართველოს
Page 5 and 6:
amocanebis amoxsnis sxvadasxva meTo
Page 7 and 8:
SummaryNowadays the mechanics of el
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mathematical point of view it is no
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2.3.1. brtyeli drekadobis Teoriis a
Page 13 and 14:
Sesavalimyari deformadi sxeulis meq
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mravali saarqivo masalidan da damak
Page 17 and 18:
SeiZleba dakmayofildes, Tu gamovsax
Page 19 and 20:
3da rodesac n=3, v=0,25, B0= R Y3(7
Page 21 and 22:
forma _ `srulia~, Tu sxivi Ω i -da
Page 23 and 24:
2 2 ∇∇σ∇ T + = 0 . (21)1+vcn
Page 25 and 26:
tenzori, romelic akmayofilebs (27)
Page 27 and 28:
∫∫ ×Φ(M , Q)dO μ=0R ˆ0(35)d
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( )I i( )I e1L b(Q0) − ∫∫b(M
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(i)Tanaxmad araerTgvarovan gantoleb
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gadaadgilebisaTviswarmoadgens jamsu
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sivrciTi amocanebi araerTgvarovani
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mrgvali filis SemTxveva datvirTvisa
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(1965) datvirTvis gavlena, romelic
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gantolebebs, romlebic Seicavdnen ma
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polusebis konusuri zedapirebiT ganx
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zambarebis gaangariSebasTan kavSirS
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ganxilulia rogorc pirveli da meore
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(1953), x. muStaris (1938), a. ugod
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1938) [45]. is anviTarebda mcire pa
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kveTis mqone Reros grexis amocanis
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cilindruli RruTi (1953) [62]. Serma
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(1956) [69]. ori wriuli segmentis s
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lilvebis grexis amocanis amoxsnisas
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gamokvlevaTa dazusteba da ganviTare
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janeliZis xerxis ganzogadeba almanz
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problemebi principSi daiyvaneba gan
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v.mosakovski, 1953); toroiduli koor
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sxvadasxva garemos kontaqtis Sesaxe
Page 71 and 72: simetruli guli aqvs. amoxsnis aseTi
Page 73 and 74: yvelaze efeqturi aRmoCnda wyvil int
Page 75 and 76: unvis elifsoidis kumSvisa da grexis
Page 77 and 78: wertilebis gareSe. amasTan, ukanask
Page 79 and 80: sadac ϕ * (z) da ψ * (z) holomorf
Page 81 and 82: formis xist profilTan urTierTSexeba
Page 83 and 84: III. firfitis kide dayrdnobilia _ k
Page 85 and 86: L-ze) uwyvetia Sesabamis Sekrul+S +
Page 87 and 88: aSkaraa, rom f(z) uban-uban holomor
Page 89 and 90: maSin (82)-is safuZvelze, winare mw
Page 91 and 92: ω(ζ ) ⎛ 1 ⎞ϕ ′ ⎜ ⎟ , (
Page 93 and 94: sami tolobis kombinirebiT, maTSi z-
Page 95 and 96: (94) warmodgena gamosadegia agreTve
Page 97 and 98: ogorc amaSi advilad davrwmundebiT g
Page 99 and 100: X ( z)b(t)dtF( z)= ∫ + X ( z)P(z)
Page 101 and 102: lim( z − z)Φ′ ( z)= 0 .roca z
Page 103 and 104: xerxebiT, magaliTad furie da melini
Page 105 and 106: 2.3. myari deformadi sxeulis meqani
Page 107 and 108: da konfiguraciis naxvretebis dros Z
Page 109 and 110: am meTodis gamoyeneba brtyeli amoca
Page 111 and 112: gamoyeneba brtyeli deformaciis Sesa
Page 113 and 114: sazRvrisa da imyofeba misgan manZil
Page 115 and 116: ori parametriT, romlebic zemoT dasa
Page 117 and 118: [ tϕ′( t)+ ψ ( )]xk1ϕk( t)−k
Page 119 and 120: amocana). sxvadasxva masalebisagan
Page 121: gadaadgilebebis tolobas. es pirobeb
Page 125 and 126: v. abramovis (1937), n. glagolevis
Page 127 and 128: kompleqsuri cvladis analizur funqci
Page 129 and 130: nawilobriv Camagrebuli kides mqone
Page 131 and 132: (125)-is amonaxsni warmovadginoT fu
Page 133 and 134: Kni( λ , n ) ⋅ σi⋅ f l ,Ki bz
Page 135 and 136: 1. qaris zemoqmedebis gavlena, nage
Page 137 and 138: λ1,10ξ = 3 + ln .265es formula mi
Page 139 and 140: (v.panasiuki da d. bereJnicki, 1964
Page 141 and 142: adgan xSiri iyo SeduRebuli liTonis
Page 143 and 144: proporciulad ar izrdeba. maRali wne
Page 145 and 146: Psadac σo= ; P mimdinare datvirTvi
Page 147 and 148: daskvnis saxiT xazgasmulia, rom mus
Page 149 and 150: 18. Виноградов А.И. -
Page 151 and 152: 54. Лурье А.И. - Труды
Page 153 and 154: 87. Тимошенко С.П. - И
Page 155 and 156: 119. Динник А.Н. - Усто
Page 157 and 158: 158. Упругость и плас
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myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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