myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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am TavSi damatebiT miviCnevT, rom sxeulebisurTierTSexebuli zedapirebi arsad ar cildebian erTmaneTsdeformaciis gamo.Semagreba SeiZleba, ra Tqma unda, ara marto naxvretiskideebis. firfitebi SeiZleba gavamagroT rgolebiT mis nebismierkideze, da aseve Siga nawilebSi, romlebic ar emijnebiansazRvars. ukanasknel SemTxvevaSi laparakoben firfitisgamagrebaze sixistis wiboebiT.Sedgenili <strong>sxeulis</strong> mTliani L sazRvari iqneba Sedgenilifirfitis gare konturisagan (Tu rasakvirvelia is ar vrceldebausasrulod yvela mxares), Seumagrebeli naxvretebiskonturebisagan da bolos Casadgmeli sayelurebis Sidakonturebisagan, Tu aseTebi arseboben. sxeuli SeiZlebaganicdides nebismier zemoqmedebas rogorc SigniT, asevesazRvarzec.firfitis Seumagrebel kideze sasazRvro pirobebi iqneba,aSkaraa, Cveulebrivi, Sesabamisi masze mocemuli Zalovanizemoqmedebis reJimisa an misi Camagrebis xasiaTisa. sxvadasxvagaremoTa xazze pirobebi ki iqneba sxvadasxvagvari im nawilebisSeerTebis xerxTan damokidebulebiT, romlebic mas esazRvrebian.magaliTad, SemTxvevaSi, roca firfitaSi yvela naxvreti,romlebic ikaveben sasrulo mravalbmul S ares sazRvriTL L , Sevsebulia mTliani diskebiT sxvadasxva= L1 + L2+ + Lm+1masalisagan, romlebic firfitasTan mirCilulia naxvretebisfarglebis gaswvriv, xolo daZabuli mdgomareoba gamowveuligare ZalebiT, romlebic modebulia mxolod firfitis garekonturze, Cven gveqneba analizuri funqciebis Teoriis Semdegiamocana:( t ) + tϕ′( t)+ ψ ( t)= f ( t)ϕm+ 1ϕ ( t)tϕ′( t)+ ψ ( t)= ϕ ( t)+ tϕ′( t)+ ψ ( t)L -ze, (110)+kk kkx 1ϕ( t)− [ tϕ′( t)+ ψ k( t)]=μ μL -ze, (111)116
[ tϕ′( t)+ ψ ( )]xk1ϕk( t)−k ktμ μ=kkkL -ze ( k = 1,2, L,m)(112)sadac ϕ da ψ holomorfulebia S areSi, xolo ϕkda ψkholomorfulebia sasruloS − kareze, romelic SemosazRvruliaL ( k = 1,2, L,m)konturiT. (110) sasazRvro pirobis azri naTeliakwinamdebaresagan. (111) da (112) tolobebi ki gamoxatavengadaadgilebaTa da ZabvaTa veqtorebis komponentebis uwyvetobisaSkara pirobebs garemoTa gamyof xazze gadasvlisas. k indeqsimiwerili aqvT sayeluris masalis drekad elementebs, romlebsacukaviaTS − kare.erT-erTi adrindeli gamokvleva, romelic exebodaaraerTgvarovani drekadobis sxeulebs da romelicSesrulebulia kompleqsuri cvladis meTodebis bazaze, iyos.mixlinis naSromi (1935), romelSic 94-Si naxsenebi Svarcisgulis saSualebiT, Seiswavleboda zogadi amocana uban-ubanerTgvarovani garemos Sesaxeb, integralur gantolebaTameTodiT. zogierT kerZo SemTxvevebi ganxiluli iyo efeqturisaxiT imave avtoris sxva naSromSi (1934).SemdgomSi amocanebis gamokvlevam araerTgvarovanidrekadobiT daiwyo swrafad ganviTareba. am areSi mniSvnelovaniwarmatebebi iqna miRweuli ukraineli mecnierebis mier, sadacSesabamisi sakiTxebi didi xnis ganmavlobaSi iyo bevri avtoriskvlevis sagani. am gamokvlevaTa Sedegebi gadmocemulia g. savinis(1951), d. vainbergis (1952), m. Seremetievis (1960) da v. savinisa da n.fleiSmanis monografiebSi. qvemoT Cven mokled SevexebiT ZiriTadSedegebs.daviwyoTYSedarebiT martivi SemTxvevidan, roca ZiriTadifirfita da drekadi sayelurebi, romlebic naxvretebSi idgmeva,damzadebulia erTi da imave masalisagan. am SemTxvevaSi Cven undadavuSvaT, rom dauZabav mdgomareobaSi sayelurebis konturebiramdenadme gansxvavdeba Sesabamisi naxvretebis konturebisagan.gamosayeneblad gansakuTrebiT sainteresoa SemTxveva, roca117
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
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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
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
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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
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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
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
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(1956) [69]. ori wriuli segmentis s
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lilvebis grexis amocanis amoxsnisas
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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: ori parametriT, romlebic zemoT dasa
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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