myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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usasrulod daSorebuli wertilis CaTvliT da piriqiT. Tufunqcia f(z) holomorfuliaS − -Si, maSin holomorfuli iqneba z-sagan S + areSi.(76) aRniSvna SeiZleba gamoviyenoT ufro zogadSemTxvevaSic, roca, magaliTad, f(z)-s S + -is SigniT aqvs polusebissasruli ricxvi. f ( ) funqcias maSin eqneba imave rigis* zpolusebi wertilebSi, romlebic f(z)-is polusebis asaxvebiaerTeulovan wrewirSi.(76) funqciis zRvruli mniSvnelobebisaTvis gveqneba++−f ( t ) = f ( ) , f ( t)= f ( ) . (78)*t*t(74)-is gamoyenebiT f ( ) funqciis mimarT, miviRebT pirobas* z1 f ( t)dt+∫ = const yvela z ∈ S -saTvis. (79)2πiL t − zaucilebels da sakmariss imisaTvis, rom wrewirze uwyveti f(t)funqcia iyos romeliRac iseTi f(z) funqciis sasazRvromniSvneloba, romelic holomorfulia S + -Si. mudmivas, romelictolobis marjvena nawilSi figurirebs, aqvs gansazRvrulimniSvneloba f (0). analogiurad, (75) piroba miiRebs saxes1 f ( t)dt∫ = 02πit − zLyvela−z ∈ S -saTvis. (80)(76) operacia iZleva S + -Si holomorfuli, mocemuli f(z)-iT−S -Si, holomorfuli funqciis konstruirebis erT SesaZlebelxerxs. cxadia, rom wreSi holomorfuli funqciis gavrcelebaSeiZleba ganxorcieldes xerxebis uricxvi simravliT. saxeldobr,gavrcelebis miTiTebebuli xerxi aris erTi im mcireTagan,romlis gamoyeneba SedarebiT iolia.f(z) funqcia, romelic gansazRvrulia rogorc S + -Si, ise−S -Si formuliT⎪⎧f ( z),rocaf ( z)= ⎨⎪⎩ f ( z),roca*zz < 1> 1.86
aSkaraa, rom f(z) uban-uban holomorfulia. garda amisa, igianalizurad gangrZobadia t = 1 wrewiris im ubnebiT, romlebzecIm f ( t)= 0 . f(z)-is ukanaskneli Tviseba uSualod gamomdinareobs(78)-dan.holomorfuli funqciebis amgvari gavrcoba xSirad+gamoiyeneba dasaxuli miznebiT im SemTxvevaSic, roca S -naxevarsibrtyea. maSin (76)-is nacvlad miiCneven (n. musxeliSvili,1966).F ( z)= F(z). (81)brtyeli amocanebis amoxsnis mravalnairi meTodebidan,romlebic cnobilia samecniero literaturaSi dReisaTvis, aqSevexebiT ZiriTadad imaT, romlebic yvelaze ufro efeqturebiarogorc sasazRvro amocanebis zogadi gamokvlevebis azriT, isekerZo SemTxvevebSi konkretulad maTi SeswavlisaTvis.upirvelesad yovlisa, mxedvelobaSi gveqneba Semdegi oTximeTodi.1. xarisxovani mwkrivebis meTodi konformuli asaxvisgamoyenebiT;2. dayvana funqcionalur (kerZod, integralur)gantolebebamde konformuli asaxvis gamoyenebiT (erTbmuliareebis SemTxveva);3. zogadi meTodebi, romlebsac mivyavarT integralurgantolebebamde konformuli asaxvis gareSe;4. dayvana wrfivi SeuRlebis amocanamde.rig specialur SemTxvevebSi, gansakuTrebiT mravladbmulgaremoTa Seswavlisas, mizanSewonilad miiCneva ganxilvisas amaTu im meTodTa urTierTSexamebiT Semotana.warmovadginoT miTiTebuli meTodebis mokle aRwera.87
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aleqsandre daTuaSvilimyari deformad
Page 3 and 4:
საქართველოს
Page 5 and 6:
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
Page 23 and 24:
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
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 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: L-ze) uwyvetia Sesabamis Sekrul+S +
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
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
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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
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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
Page 157 and 158:
158. Упругость и плас
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myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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