myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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2.2.1. drekadobis Teoriis brtyeli amocanebis dasmada amoxsnis meTodebidReisaTvis erTerTi yvelaze mniSvnelovani da kargaddamuSavebuli drekadobis Teoriis nawili, sadac miRwevebigansakuTrebulad didia, aris e.w. drekadobis brtyeli Teoria.brtyeli amocanebis damuSavebaSi warmateba aixsneba misiganxilvisas kompleqsuri cvladis analizuri funqciis TeoriisgamoyenebiT. pirveli Sedegebi am mimarTulebiT, riTacmTlianobaSi ganisazRvra brtyeli Teoriis Tanamedrove saxe,miRebuli iyo g. kolosovisa da n.musxeliSvilis fuZemdeblurgamokvlevebSi.drekadobis Teoriis brtyeli amocana gulisxmobs drekadigaremos deformacias, romelic mocemuli sibrtyis (grZelicilindris deformacia Tavisufali fuZeebiT) paraleluria, anmis brtyel daZabul mdgomareobas (Txeli firfitis deformaciaZalebiT, romlebic mdebareobs mis sibrtyeSi). am SemTxvevebSidrekadi wonasworobis gansazRvra daiyvaneba biharmoniuligantolebisaTvis sasazRvro amocanebis amoxsnaze. biharmoniulgantolebamde dadis, normaluri datvirTvebis qveS moqceulidrekadi firfitebis, wonasworobis amocanebic. maTematikuriformulirebiT brtyeli amocanebi da firfitebis Runvisamocanebi erTmaneTis msgavsia, aseve msgavsia. maTi amoxsnismeTodebic. amitom mizanSewonilia am ori tipis amocaniserToblivi ganxilva.2.2.1.1. brtyeli amocanis amoxsnis zogadi kompleqsuriwarmodgenan. musxeliSvilis aRniSvnebSi nagulisxmevia, rom brtyeliamocanis ZiriTadi Tanafardobebi cnobilia. drekadi garemos Sare, warmoadgens Oxy sibrtyis bmul nawils, SemosazRvrulserTi an ramdenime Sekruli konturiT L1 , L2,L , L m, L m + 1saerTo76
wertilebis gareSe. amasTan, ukanaskneli moicavs yvela danarCens.Lm+1konturis ar arsebobisas gvaqvs naxvretebiani sibrtyisusasrulo are. ganixileba agreTve SemTxveebi, roca L k konturebsSoris gvaqvs sasruli sigrZis an usasrulo Seukreli nawilebi(sibrtye bzarebiT, naxevarsibrtye naxvretebiT da a.S.)igulisxmeba masaTa Zalebis arqona.Zabvebi da deformaciebi kolosov-musxeliSvilis ϕ(z), ψ(z)kompleqsur potencialebSi gamoisaxeba formulebiTXYyx+ Y− Xyx= 2+ 2iX[ ϕ′( z)+ ϕ′( z)],y= 2[ zϕ′′ψ ( z)+ ψ ′(z)],2μ(u + iv)= xϕ(x)− 2ϕ′(z)−ψ( z).am formulebze pirvelad miuTiTa g. kolosovma 1909 welsfuZemdeblur naSromSi `kompleqsuri cvladis funqciis TeoriiserTi gamoyenebis Sesaxeb drekadobis maTematikuri Teoriisbrtyel amocanaSi~. maTi mkacri dasabuTeba mocemuliamogvianebiT n. musxeliSvilis mier (ix. misi monografia`drekadobis maTematikuri Teoriis zogierTi ZiriTadi amocana~,1933, gam. 5-1966) [105].n. musxeliSvilis kalams ekuTvnis 80-mde samecnierogamokvleva. misma naSromebma didi gavlena iqonies drekadobisTeoriisa da maTematikuri fizikis Semdgom ganviTarebaze mTelmsoflioSi. n. musxeliSvilis meTodebis safuZvelze daweriliauamravi naSromi. misi Sedegebi farTodaa gamoyenebuli agreTveteqnikis sxvadasxva amocanebSi. n. musxeliSvilis fundamenturimonografia `drekadobis maTematikuri Teoriis zogierTiZiriTadi amocana~, romelic pirvelad 1933 wels gamosca ssrkavSiris mecnierebaTa akademiam, Semdgom kidev xuTjer daibeWda.misi monografiebi gadaTargmnilia ucxo enebze. ar SeiZleba araRiniSnos, rom Targmanebis gamoqveynebas ucxoel mecnierTawreebSi aRfrTovanebiT Sexvdnen. ucxoeTis samecniero dareferatuli Jurnalebis furclebze gamoqveynda recenziebi,romlebSic monografias Zalze maRali Sefaseba aqvs micemuli.⎫⎪⎬⎪⎭(61)77
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
Page 11 and 12:
2.3.1. brtyeli drekadobis Teoriis a
Page 13 and 14:
Sesavalimyari deformadi sxeulis meq
Page 15 and 16:
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
Page 29 and 30: ( )I i( )I e1L b(Q0) − ∫∫b(M
Page 31 and 32: (i)Tanaxmad araerTgvarovan gantoleb
Page 33 and 34: gadaadgilebisaTviswarmoadgens jamsu
Page 35 and 36: sivrciTi amocanebi araerTgvarovani
Page 37 and 38: mrgvali filis SemTxveva datvirTvisa
Page 39 and 40: (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: unvis elifsoidis kumSvisa da grexis
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 and 122: gadaadgilebebis tolobas. es pirobeb
Page 123 and 124: wibos mqone elifsuri firfita) ixsne
Page 125 and 126: v. abramovis (1937), n. glagolevis
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kompleqsuri cvladis analizur funqci
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nawilobriv Camagrebuli kides mqone
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(125)-is amonaxsni warmovadginoT fu
Page 133 and 134:
Kni( λ , n ) ⋅ σi⋅ f l ,Ki bz
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1. qaris zemoqmedebis gavlena, nage
Page 137 and 138:
λ1,10ξ = 3 + ln .265es formula mi
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(v.panasiuki da d. bereJnicki, 1964
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adgan xSiri iyo SeduRebuli liTonis
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proporciulad ar izrdeba. maRali wne
Page 145 and 146:
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
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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