myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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torsebze da integraluri pirobebisa gverdiT zedapirze; manSeiswavla marTkuTxa, mrgvali, seqtoruli, samkuTxa filebi (1931,1932). 1931-Si galiorkinma aago amocanis amoxsna normaluridatvirTvis moqmedebis qveS moqceuli fenis wonasworobisSesaxeb mwkrivebis daxmarebiT, romlebic Seicaven beselisa dahankelis funqciebs. galiorkinma ganixila amocana Rru cilindrisada misi nawilis wonasworobis Sesaxeb (1933), xolo mogvianebiTmiiRo Rru sferos RerZulsimetriuli deformaciis amocaniskerZo amonaxsnebi (1942).am gamokvlevaTa kvaldakval gamoCnda g. maslovis (1938)naSromi, romelSic ganixileboda Termodrekadi wonasworobasqeli filis, Rru cilindrisa da sferos stacionaruliTermuli nakadis moqmedebisas.busineskis amocanis ganzogadeba naxevarsivrcisTvismocemulia v.korotkovis mier (1938), romelmac gamoikvliamarTkuTxedze _ mudmivi da wrfivi kanoniT cvladi datvirTvismodebis SemTxveva. naxevarsivrcis amocanebi mocemulobisaTvisgadanacvlebis sazRvarze da erTmaneTTan SeuRlebulinaxevarsivrceebis SemTxveva ganixileboda d. Sermanis (1943, 1945)mier. `centr~-is tipis Taviseburebis mqone amonaxsni,naxevarsivrcis romeliRac wertilSi, miRebulia v. fedianinismier (1965).ormocdaaTiani wlebis meore naxevridan gamoCnda naSromebi,romlebic ganixilaven naxevarsivrcis (n. rostovcevi, 1955 [16];b.mincbergi, 1957) da drekadi fenis grexas (i. ufliandi, 1959).mravalfeniani garemos (fuZis) grexis SemTxveva ganxilulia v.petriSinis mier (1965); orfeniani garemos grexa Seswavlilia d.grilickis mier (1961) [17].busineskis tipis amocanebi anizotropuli garemosaTvisganixila c.sveklom (1964). Cndeba gamokvlevebi, romlebicSeiswavlian araerTgvarovani garemosagan naxevarsivrcis qcevas:s. lexnickim (1962) gamoikvlia naxevarsibrtye da solidrekadobis cvladi moduliT, l. ter-mkrtiCianma (1961) ganixila34
sivrciTi amocanebi araerTgvarovani garemosaTvis (busineskisamocana, simetriulad datvirTuli cilindri). araerTgvarovaninaxevarsivrcisa da naxevarsibrtyis ufro zogadi saxeSeiswavleboda n.rostovcevis mier (1964); busineskis amocanawrfivi <strong>deformadi</strong> mTliani garemos specialuri tipisaTvisdaisva da amoixsna a. vinogradovis mier (1966) [18]. Termodrekadiamocana naxevarsivrcisaTvis, romelic esazRvreba garemos daromlis temperaturac gveZleva ganawilebis gausis kanoniT,ganxilulia i. kilis mier (1966).drekadi fenis wonasworoba furies integralis meSveobiTSeiswavleboda g. Sapiros mier (1942, 1944); man Seiswavla amocanawnevis gadacemis Sesaxeb farTobze ganawilebuli wrisaTvis; d.aizenbergTan (1950) TanaavtorobiT mis mier ganxilul iqna wnevisgadacema wriuli xvrelis mqone fenidan. wnevis gadacema feniT,romelic devs drekad fuZeze, fenasa da fuZis sruliSerwymis pirobisas Seswavlilia r. rapoportis mier (1948).sqeli filis Runva zedapiruli harmoniuli datvirTvismoqmedebisas gamoikvlia s. gutmanma (1940); mis miervea amoxsnilisqeli filis sakuTari woniT Runvis Sesaxeb amocanas (1941);ufro mogvianebiT sqeli filebis Runvis sakiTxebiT bevriavtori iyo dakavebuli (a. aleqseevi, 1946; v. bloxi, 1954, m. huseinzade,1956; v. prokopovi, 1963).1942 wels a. luriem SemogvTavaza drekadi fenisa da sqelifilis wonasworobis Sesaxeb amocanis amoxsnis axali simbolurimeTodi, dafuZnebuli drekadobis Teoriis sivrciTi amocanisgantolebebis amoxsnis warmodgenaze laplasis organzomilebianioperatoris mTeli transcendenturi funqciebis saxiT. aseTmawarmodgenam saSualeba mogvca gagvemartivebina kompaqturadCaweril xarisxovan mwkrivebze simboluri operatorebismeSveobiT moqmedebebi da amis garda bunebrivi saxiT migviyvanaaxali klasis amoxsnebis moZebnamde, romlebic filis gverdiTzedapirze sasazRvro pirobebis Sesrulebis dazustebissaSualebas iZlevian. am amonaxsnebs luriem `erTgvarovani~35
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
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: gadaadgilebisaTviswarmoadgens jamsu
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 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
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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