myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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amocanis amonaxsni naxvretiT, romelic Semagrebulia sxvamasalis drekadi rgoliT. garemos datvirTva aq SeiZlebaganxorcieldes sxvadasxva xerxiT, magaliTad misi gaWimviT,CarCiluli rgolis Sida konturze normaluri dawneviT,sworxazovan sazRvarze Seyursuli ZaliT da sxva. amoxsnis sqemaigivea, rogorc adre (gantolebiT usasrulo sistemebze dayvana).dadgenilia, rom aq miRebuli gantolebaTa sistemakvaziregularulia naxvretis naxevarsibrtyis kidesTan nebismierisiaxlovisas.ganxiluli saxis amocanebis efeqtur amoxsnis mimarTgamoiyeneboda aseve funqciaTa wrfivi SeuRlebis meTodi.magaliTis saxiT mivuTiToT i.prusovis naSromze (1957), romelmacganixila usasrulo firfitaSi naxvretis gamagrebis Sesaxebamocana, roca cvladi kveTis mqone rgoli, SemosazRvruligaredan wrewiriT da Signidan elifsiT amagrebs mas.aqamde Cven vgulisxmobdiT, rom drekadi rgolis, romelicamagrebs firfitaSi naxvretis kides, daZabuli mdgomareoba,aiwereba iseve rogorc TviT firfitis daZabuli mdgomareoba,brtyeli drekadobis Teoriis gantolebebiT an Txelifirfitebis Runvis gantolebebiT. Tu Semamagrebeli rgolisakmarisad Txelia an aqvs fasonuri profili, maSin igi undaganvixiloT rogorc mrude Zeli, romlis deformacia aRiwerebamasalaTa gamZleobis Teoriis elementaruli gantolebebiT.aseT dasmaSi amocana Semavsebeli kideebis Sesaxebpirvelad ganixileboda m. Seremetievis (1960) mier. mudmivi kveTisSemamagrebeli rgoli miRebuli iyo wvril Rerod, romelsacgaaCnda sixiste Runvaze da gaWimvaze brtyeli daZabulimdgomareobisas da sixiste Runvaze da grexaze Txelifirfitebis Runvisas.garkveulobisaTvis ganvixiloT erTi Semagrebulinaxvretis mqone usasrulo firfitebi.Semagrebeli naxvretis konturze sasazRvro pirobebsmiviRebT, Tu moviTxovT orive mxridan Sesabamisi Zalvebisa da120
gadaadgilebebis tolobas. es pirobebi wina SemTxvevaSiwarmodgenili iyo (111) da (112) tolobebis saxiT. amjeradmiTiTebuli tolobebis marjvena nawilebSi ϕ kda ψ kfunqciebis(ukve qreba am funqciaTa ganxilvis saWiroeba) sasazRvromniSvnelobebis nacvlad gamoCndeba sxva ucnobebi, da saxeldobrgare ZalvebiXY0 n,n0, romlebic moqmedeben rgolze firfitismxridan, da rgolis RerZis gadaadgilebebi u 0, v0.Tu axla, gamomdinare mrudwiruli Reroebis mciredeformaciebis Teoriis cnobili gantolebebidan, gamovsaxavT u 0da v 0 gadaadgilebebsgareX Y datvirTvebiT da CavsvamT0 n,n0Sesabamis mniSvnelobebs zemoT naxseneb SeuRlebis sasazRvropirobaSi, maSin ϕ da ψ funqciebis, romlebic holomorfuliafirfitis areSi, gansazRvrisaTvis miviRebT or kompleqsurpirobas, romlebic marjvena nawilebSi Seicaven marto ucnobX0 nda0YnZalvebs. miTiTebuli saxis Semagrebis mqone firfitebisRunvis amocanebisaTvis marjvena nawilSi ucnobi funqciebisaerTod SegviZlia gamovricxoT, da Cven gveqneba mxolod erTisasazRvro piroba, marTalia ramdenadme ufro rTuli, vidreZiriTadi brtyeli amocanis Cveulebrivi piroba.saboloo angariSSi Cndeba amocanis efeqturi ganxilvisSesaZlebloba. naxvretebis kerZo saxeebisas, wriuli naxvretisSemTxveva emorCileba xarisxovani mwkrivebis meTodiTdawvrilebiT analizs (m. Seremetievi, 1960). arawrfiulinaxvretebisaTvis amocana ufri rTulia da efeqturi amoxsnaTxoulobs mimdevrobiTi miaxloebis meTodis gamoyenebas.am midgomis Semdgomi ganzogadeba iyo mocemuli g. savinisada b.fleiSmanis (1941) mier. miiCnevdnen ra Semamagrebel Reroswvrilad (anu Tvlidnen ra Reros ganivkveTs viwrod), maT feniskonturze sasazRvro piroba Seasustes da Camoayalibeskompleqsuri cvladis terminebSi gaerTianebuli amocanaSerbilebuli sasazRvro pirobebis mqone rgoluri Semagrebebis121
Page 1 and 2:
aleqsandre daTuaSvilimyari deformad
Page 3 and 4:
საქართველოს
Page 5 and 6:
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
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1938) [45]. is anviTarebda mcire pa
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kveTis mqone Reros grexis amocanis
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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
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janeliZis xerxis ganzogadeba almanz
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problemebi principSi daiyvaneba gan
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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: amocana). sxvadasxva masalebisagan
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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