myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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gantolebebis agebis ramdenime varianti. mivuTiToT zogierTmaTganze.ϕ′ (σ ) mimarT fredholmis integraluri gantoleba SeiZlebamiviRoT (3.30) funqcionaluri gantolebidan, Tu mas winaswarCavwerT ramdenadme sxva saxiT da mere mivaswrafebT ξ wertilsSignidan γ wrewiris wertilisaken (n. musxeliSvili, 1966, $ 79), amintegraluri gantolebis elementaruli gamokvleva saSualebasiZleva davamtkicoT misi amonaxsnis arseboba (maSasadame, Sesabamisibrtyeli amocanis amoxsnis arsebobac), Tu, ra Tqma unda, pirveliamocanis SemTxvevaSi sasruli garemosaTvis daculia statikispirobebi. ufro dawvrilebiT am gantolebis gamokvleva Caatara d.Sermanma (1938). man Seiswavla integraluri gantolebismaxasiaTebeli wertilebis ganawileba da daamtkica, rom igiamoxsnadia orive ZiriTadi amocanisaTvis mimdevrobis miaxloebismeTodiT.mravladbmuli areebis SemTxvevis momcvel, ufrozogad meTods warmoadgens integralur gantolebebamde miyvanismeTodi, romelic winaswar ar Txoulobs konformul asaxvas.erT-erTi aseTi meTodi iyo wamoyenebuli n. musxeliSvilis (1966,$ 98) mier. mis arss Cven ganvmartavT daSvebiT, rom garemosasrulo da caladbmulia.(64) gantolebaSi, romelic gamosaxavs amocanis sasazRvropirobas, gadavideT SeuRlebul mniSvnelobaze da (74)-is TanaxmadCavweroT imis piroba, rom funqcia ψ(t)_z-iT sasazRvromniSvnelobaa funqciis, romelic holomorfuliamiviRebT maSin funqcionalur gantolebas+S -Si.Cven1 ϕ(t)dt 1 tϕ′( t)dt2πit − z 2πt − z∫ + ∫ =LLA(z)yvela−z ∈ S -sTvis,A(z)=12πi∫Lf ( t)dt.t − zTu Cven gamovsaxavT im pirobas ϕ(t) da ϕ′ (t)-saTvis, maSingveqneba ori sxva toloba, romelic analogiuri iqneba winasi. am92
sami tolobis kombinirebiT, maTSi z-iT marjvnidan zRvarzewinaswari gadasvlis Semdeg miviRebT fredholmis gantolebas ϕ(t)-saTvis, romelic miTiTebuli aqvs n.musxeliSvils.1 t − t01 t − t0ϕ ( t0) + ∫ϕ(t)d ln + ∫ϕ(t)d = −A(t0). (92)2πit − t 2πit − tL0winamdebaresTan erTob msgavsi, magram arsiT gansxvavebulibrtyeli amocanis gantoleba aago d. Sermanma (1940) sxva gziT,razedac Cven ufro dawvrilebiT qvemoT aRvniSnavT:d. Sermanis (1935-1937) gamokvlevebis Tanaxmad, (92) gantolebavargisia nebismieri mravladbmuli aresaTvis; mas yovelTvis aqvsamonaxsni, romelic iZleva Sesabamisi brtyeli amocanisamonaxsns. garda amisa odnav winaswar Secvlili (92)gantolebisaTvis mimdevrobiTi miaxloebis meTodia gamosadegi(d. Sermani, 1940).brtyeli amocanis integraluri gantoleba, aseve vargisinebismieri mravladbmuli aresaTvis, iyo agebuli ufro adre s.mixlinis (1934, 1935) mier. am mizniT ganxilvaSi Semodis e.w.grinis kompleqsuri funqcia, xolo Semdeg misi saSualebiT –Svarcis ganzogadebuli guli, analizuri areSi, magram aracalsaxad. mravladbmul areSi ganzogadebul guls gaaCnia Tviseba,analogiuri Svarcis Cveulebrivi gulis Tvisebisa. mixlinisgantoleba caladbmuli aresaTvis Tanxvdeba (92) gantolebas. s.mixlinma Caatara agebuli gantolebebis gamokvleva;damtkicebuli iqna maTi amoxsnadoba da agreTve, maTiamoxsnisaTvis mimdevrobiTi miaxloebis meTodis samarTlianoba.Sedegebi gadmocemulia mis monografiaSi (1949), romelic SeicavsagreTve, brtyeli amocanis amoxsnisaTvis Svarcis gulisgamoyenebas zogierT kerZo SemTxvevaSi.l. maRnaraZis gamokvlevebma (1937, 1938) gviCvenes, rommusxeliSvilis gantoleba inarCunebs Zalas texili sazRvriskuTxeebis SemTxvevaSic, Tu integralebs, romlebsac gantolebaSeicavs, gavigebT garkveulad ufro ganzogadebuli azriT.L093
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aleqsandre daTuaSvilimyari deformad
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საქართველოს
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amocanebis amoxsnis sxvadasxva meTo
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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
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Sesavalimyari deformadi sxeulis meq
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mravali saarqivo masalidan da damak
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SeiZleba dakmayofildes, Tu gamovsax
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3da rodesac n=3, v=0,25, B0= R Y3(7
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forma _ `srulia~, Tu sxivi Ω i -da
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2 2 ∇∇σ∇ T + = 0 . (21)1+vcn
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tenzori, romelic akmayofilebs (27)
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∫∫ ×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
Page 41 and 42: gantolebebs, romlebic Seicavdnen ma
Page 43 and 44: polusebis konusuri zedapirebiT ganx
Page 45 and 46: zambarebis gaangariSebasTan kavSirS
Page 47 and 48: ganxilulia rogorc pirveli da meore
Page 49 and 50: (1953), x. muStaris (1938), a. ugod
Page 51 and 52: 1938) [45]. is anviTarebda mcire pa
Page 53 and 54: kveTis mqone Reros grexis amocanis
Page 55 and 56: cilindruli RruTi (1953) [62]. Serma
Page 57 and 58: (1956) [69]. ori wriuli segmentis s
Page 59 and 60: lilvebis grexis amocanis amoxsnisas
Page 61 and 62: gamokvlevaTa dazusteba da ganviTare
Page 63 and 64: janeliZis xerxis ganzogadeba almanz
Page 65 and 66: problemebi principSi daiyvaneba gan
Page 67 and 68: v.mosakovski, 1953); toroiduli koor
Page 69 and 70: 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: ω(ζ ) ⎛ 1 ⎞ϕ ′ ⎜ ⎟ , (
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 and 122: gadaadgilebebis tolobas. es pirobeb
Page 123 and 124: wibos mqone elifsuri firfita) ixsne
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
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proporciulad ar izrdeba. maRali wne
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Psadac σo= ; P mimdinare datvirTvi
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daskvnis saxiT xazgasmulia, rom mus
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18. Виноградов А.И. -
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54. Лурье А.И. - Труды
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87. Тимошенко С.П. - И
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119. Динник А.Н. - Усто
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158. Упругость и плас
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myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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