myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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naxevarsibryeze Re ζ > 0 konformuli asaxva saSualebas iZleva ϕda ψ kompleqsuri potencialebis mosaZebnad gamoviyenoTlaplasis calmxrivi gardaqmnis aparati. miRebuli meTodis,analogiurad n.musxeliSvilis mier, igeba sakmaod martivistruqturis integraluri gantolebebi, romlebic moixmarebagarkveuli azriT areebisaTvis, kuTxis wertilebiT. Tu L konturiar Seicavs kuTxis wertilebs da saerTod sakmarisad gluvia,maSin integraluri gantolebis guli aris fredholmuri, xolouban-uban gluvi konturis zogad SemTxvevaSi is miekuTvnebakarlemanis gulebis tips.s. belonosovis integraluri gantolebebi, rogorc manaCvena (1962), amoxsnadia ZiriTad amocanaTagan TiToeulisaTvis.usasrulo solis an zolis kerZo SemTxvevebSi integralurigantolebebi ixsneba kvadraturebSi, rasac mivyavarT amSemTxvevaSi sasrulo saxiT amocanebis amoxsnamde. s.belonosoviscitirebul wignSi gansazRvrulia agreTve areebis klasi,romlebisTvisac ZiriTadi amocanebi amoxsnadia kvadraturebSimiTiTebuli meTodiT. es klasi, garda areebisa, romlebic formiTmaxlobelia solTan, zolTan da hiperbolasTan, Seicavs TavisTavSi agreTve wriul koncentrul rgols.zemoT gadmocemuli d. Sermanis meTodi (95) mis mierTavdapirvelad SemoTavazebuli iyo oradbmuli profilebisgansazRvruli klasis, grexisa da Runvis amocanebis amoxsnisaTvis.brtyeli deformaciisadmi SefardebiT is iyo ilustrirebuli(1951) naxevarsibrtyis magaliTad, romelic dasustebuliaaraerTnairi ori wriuli naxvretiT. Sermanis ufro gviandelgamokvlevebSi mimdinareobda meTodis arsebiTi gardaqmnebi,ramac moxsna didi moculobis Sualeduri gamoTvliTioperaciebis Catarebis aucilebloba. Sedegad amoxsnis procesigaxda Tvalmisawvdomi da miiRo Tavis ZiriTad nawilSirekurentuli Tanafardobebis xasiaTi.d. Sermanisa da misi mowafeebis mravalricxovan naSromebSi,romlebic gamoqveynebulia ukanasknel wlebSi, mocemulia meTodis110
gamoyeneba brtyeli deformaciis Sesaxeb konkretul amocanebSi.ganxiluli iyo amocanebi wonadi naxevarsibrtyis Sesaxeb orinaxvretiT (wriuliT da elifsuriT), romlebic ganlagebuliagaremos wrfivi sazRvridan mniSvnelovani daSorebiT; drekadiwris Sesaxeb naxvretiT, sakmaod zogadi moxazulobisa;naxevarsibrtyis Sesaxeb naxvretiT, romlis kidis gaswvrivCarCilulia rgoli sxva masalisagan, da sxva analogiuriamocanebi. Sedegebis safuZvliani mimoxilva integralurigantolebebis meTodis gamoyenebaze sruli bibliografiiTmoyvanilia d. Sermanis narkvevSi (1962).mravalbmuli ares calkeuli SemTxvevisaTvis gamoiyenebodaSvarcis ganzogadebuli algoriTmi, romelic zogad formaSiganaviTara s. mixlinma (1949) ZiriTadi biharmoniuli amocanismimarT. meTodis pirveli ilustracia gakeTda imave avtoris mier(1934) elifsuri naxvretis mqone, wonadi naxevarsibrtyismagaliTze, roca usasrulobaze Zabvebi ganawilebuliahidrostatikuri kanoniT.Svarcis mixedviT TandaTanobiT miaxloebebis krebadobagamoikvleoda ares mimarT zogierTi SezRudvebisas, s. mixlinisada a. gorgiZis naSromebSi. meTodis krebadoba zogad SemTxvevaSidadgenili iqna s.sobolevis (1936) mier.Svarcis algoriTms ar gaaCnia swrafi krebadoba, romelicunda gvaxsovdes meTodis praqtikuli gamoyenebisas. miuxedavadamisa rig SemTxvevebSi man SeiZleba mogvces damakmayofilebeliSedegebi. magaliTebad gamogvadgeba a. kosmodamianskis naSromebi(1961, 1964), romlebic exeba ori araerTnairi naxvretis SemTxvevasusasrulo garemoSi.firfitaSi, bevri naxvretebiT, Zabvebis Seswavlisas erTerTZiriTad sakiTxs warmoadgens mocemuli naxvretis siaxlovesgaremos Sesustebis, romlebic gamowveulia mezobeli naxvretebisarsebobiT, xarisxis gansazRvra. am sakiTxebs, romlebic iwvevendid interess samTo saqmeSi, mieZRvna d. Sermanisa da misi111
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
Page 9 and 10:
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
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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
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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
Page 43 and 44:
polusebis konusuri zedapirebiT ganx
Page 45 and 46:
zambarebis gaangariSebasTan kavSirS
Page 47 and 48:
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
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kveTis mqone Reros grexis amocanis
Page 55 and 56:
cilindruli RruTi (1953) [62]. Serma
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(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 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: am meTodis gamoyeneba brtyeli amoca
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
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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