es pirobebi daiyvaneba Semdegze:c =ak∫ + 1( ′ + iv′) dt = g(ak+1)− g(b kbk1= c2= L c n.u ) ( k = 1,2, L , n −1)(107)Tu (107) tolobaSi CavsvamTY u ( t)+ ib(t)-s nacvlad misgamosaxulebas Φ funqciiT, miviRebT n −1wrfiv gantolebaTasistemas.P(z) polinomis C0koeficienti ganisazRvreba gare Zalvebismocemuli (X, Y) veqtoriT:X + iYC0= − .2πTu CavsvamT C0-is mniSvnelobas (107) sistemaSi, miviRebTC L koeficientebis mimarT wrfiv gantolebaTa n −11, C2,, C n −1sistemas. es sistema calsaxad amoxsnadia ZiriTadi Sereuliamocanis amonaxsnis erTaderTobis Teoremis safuZvelze.kompleqsuri cvladis funqciis Teoriis meTodebi,romelTa Sesaxeb zemoT gvqonda laparaki drekadobis Teoriisbrtyel amocanasTan dakavSirebiT, arsebiTad iyo ganviTarebuli i.vekuas gamokvlevebSi kerZo warmoebulebSi diferencialurigantolebebis Teoriis ufro zogadi amocanebisadmi miyenebiskuTxiT. i. vekuas monografiaSi (1948) am TvalsazrisiTgamokvleulia vrceli klasi elifsuri gantolebebisa oridamoukidebeli cvladis SemTxvevaSi da mocemulia avtoris mierganviTarebuli aparatis gamoyenebebi (drekadi cilindrisstacionaruli rxevebi, Txeli firfitebis Runva da sxva).aqve gvmarTebs movixsenioT imave meTodebismravalricxovani gamoyenebebi drekadi garsebis TeoriaSi (i.vekua, a. goldenveizeri, g. savini).kompleqsuri cvladis funqciis Teoriis meTodebTan erTad,romlebic saSualebas iZleva amovxsnaT brtyeli amocanaSedarebiT zogadi saxis areebisaTvis, SeiZleba vipovoT efeqturiamonaxsnebi zogierTi konkretuli formis areebisaTvis kerZo102
xerxebiT, magaliTad furie da melinis integralurigardaqmnebis saSualebiT.furies gardaqmnebi warmoadgens erTob moxerxebul aparatsusasrulo zolis drekadi wonasworobis sxvadasxvagvariamocanebis ganxilvisaTvis. amgvari saxis umartivesi amonaxsnebinapovni iyo jer kidev l.n.j. failonis mier. es meTodika,romelmac miiRo farTo ganviTareba sabWoTa mecnierebisnaSromebSi, ocdaaTiani wlebis bolos iyo ganzogadebuli daSejamebuli p.papkoviCis cnobil monografiebSi (1939, 1941).SemdgomSi sxvadasxva avtorebis mier ganxiluli iyomniSvnelovani raodenoba axali amocanebisa, romlebic Seexebodazolis, naxevarzolis deformaciebs, romlebic Seesabamebodnenfenovan garemos da anizotropul tanebs, Tbur Zabvebs da sxva.dainteresebul pirebs SeuZliaT dawvrilebiT gaecnon d.Sermanis (1962) mimoxilviT naSromebs. g. popovisa da n.rostovcevisa (1966), s.lexnickis (1957) da m. Seremetievis (1968)monografiebs.aqve mivuTiTebT i. alperinis (1930), m. belenkovis (1952) das.birmanis (1954) statiebs, romlebic Seexeba Sereul amocanebsusasrulo zolisaTvis, da aseve i. markuzonisa (1963), v.tonoianis naSromebs, romlebSic Sereuli amocanebis zogierTiklasebi naxevarsibrtyisa, zolisa da kvadrantisaTvisgadawyvetilia wyvili an sammagi tolobebiT, romlebicdakavSirebulia furies gardaqmnebTan.rigi saintereso amocanebi amoixsna bipolarulkoordinatebSi, furies integralebis saSualebiT. msgavsi saxisamocanebi, romlebic ZiriTadad wriul `namgalasTan~ arisdakavSirebuli, ganixileboda i. ufliandis (1950, 1963), g. savinis(1951), m. savrukis (1957), v. eganianis (1959, 1964) da sxva avtorebismier.drekadobis Teoriis zogierTi brtyeli amocana usasrulosolisaTvis zust gadawyvetas Rebulobs melinis integralurigardaqmnebis saSualebiT. Tavdapirveli gamokvlevebi am wris103
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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
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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
- 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 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: lim( z − z)Φ′ ( z)= 0 .roca z
- 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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- 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
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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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