myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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prizmatulTan axlos Sedgenili anizotropuli sxeulebisaTvis(1963) [85].Reros drekadi wonasworobis amocanas, romlis gverdiTizedapiri datvirTulia ZalvebiT, romlebic warmoadgenenRerZuli koordinatis polinomur funqciebs, ewodeba almanzisamocana. am amocanis kerZo SemTxveva, roca gverdiTi datvirTvaar aris damokidebuli RerZuli koordinatisagan,ASeiswavleboda jer kidev j. miCelis mier. 1960 wels g.janeliZemgamoaqveyna almanzis amocanis amoxsnis zogadi meTodi ZabvebSi,romelsac davyavarT rigi organzomilebiani amocanebis amoxsnamde,romlebic erTmaneTTan dakavSirebulia rekurentuliTanafardobebiT. es meTodi iZleva miCel-almanzis amocanisamoxsnis zogad xerxs da xsnis gzas kompleqsuri cvladisTeoriis gamoyenebisaTvis. miCelis amocanis kerZo SemTxveva,roca gverdiT zedapirze moqmedebs Tanabradganawilebulinormaluri datvirTva Seiswavla a. harisma (1960); man aCvenaRunvis centrebis xazis arseboba, romlis moZebnisaTvissakmarisia sen-venanis amocanis grexis harmoniuli funqciisgansazRvra. Sedgenili ZelebisaTvis miCelisa da almanzisamocanebis amoxsna mogvca g. xatiaSvilma (1953, 1955) [86]. miCelisamocanasTan dakavSirebiT wamoWrili sasazRvro amocanebisklasifikacia da maTi amoxsnis Tanmimdevroba miTiTebulia a.luries mier (1966).transversalurad izotropul cilindrze gverdiTipolinomuri datvirTvis moqmedeba, romelsac mivyavarT misgrexamde da RerZulsimetriul deformaciamde, Seiswavleboda s.lexnickis (1961) mier. a.kosmodamianskim (1956, 1961) ganixilamiCelisa da almanzis amocanebi anizotropuli koWisaTvis. g.janeliZem ganavrco mis mier SemoTavazebuli almanzis amocanisamoxsnis meTodi anizotropuli Reros SemTxvevaze. ufrodawvrilebiT es amocana ganixileboda g. xatiaSvilis mier [81],romelmac gamoikvlia miCelis amocana Sedgenili orTotropulida anizotropuli ReroebisaTvis (1962) da agreTve mogvca62
janeliZis xerxis ganzogadeba almanzis amocanis SemTxvevaSi,Sedgenili orTotropuli RerosaTvis (1964).s.p. timoSenkos 1910 wels [87] gamocemul wignSi „axalimeTodebis gamoyeneba zogierTi xidis konstruqciis mdgradobiskvlevebisas“, ganxiluli aqvs xidebis fermebis elementebisSemowmeba mdgradobaze. kerZod, xazgasmulia, rom fermisgasaTvleli elementis simtkicis uzrunvelsayofad sakmarisi araris misTvis iseTi dasaSvebi daZabulobis SerCeva, rom TavidanaviciloT narCeni deformaciebi an daRlilobis movlenebi.saWiroa agreTve wonasworobis im formis SedarebiTi mdgradobisdamatebiTi gamokvlevebi, romelic safuZvlad udevsgansaxilveli elementis gaTvlebs. mxolod mdgradobis sakmarisimaragis SemTxvevaSi iqneba es elementi mTeli nagebobis mtkiceSemadgeneli nawili.im droisTvis calkeuli elementebis Semowmeba mdgradobazedaiyvaneboda grZivi Runvis formulebis gamoyenebaze.sinamdvileSi gvxvdeboda mdgradobis ufro rTuli sakiTxebismTeli wyeba. naSromSi aRniSnulia, rom grZivi RunvisSemTxvevaSi unda gadaiwyvitos Tamasis saimedoobis sakiTxi.xSirad gvxvdeba mravalmaliani maryuJebis gaswvrivi RunvisSemTxvevebi, xandaxan saWiro xdeba furclebis mdgradobisgansazRvra. calkeuli samagrebi Cveulebriv, yovelgvarigaTvlebis gareSe arian ganlagebuli. CamoTvlilTagan zogierTamocanas gaaCnia Teoriuli gadawyveta da timoSenkom drouladmiiCnia teqnikuri gaTvlebisas, am gadawyvetilebebis praqtikaSidanergva. swored am gaTvlebis saimedoobis donis gazrdiTCndeba imedi, rom momavalSi SesaZlebeli iqneba dasaSvebidaZabulobis ufro maRali normebis miRweva.2.1-is daskvnebi− sen-venanisa da almanzis amocanebSi prizmuli RerosTavisufali grexis amocana daiyvaneba harmoniul problemaze,63
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 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: gamokvlevaTa dazusteba da ganviTare
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
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sazRvrisa da imyofeba misgan manZil
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ori parametriT, romlebic zemoT dasa
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[ tϕ′( t)+ ψ ( )]xk1ϕk( t)−k
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amocana). sxvadasxva masalebisagan
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gadaadgilebebis tolobas. es pirobeb
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wibos mqone elifsuri firfita) ixsne
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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
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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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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