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myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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ZiriTad niSnad, romelic dasaSvebi areebis klass gansazRvravs,iTvleba moTxovna, rom brtyeli amocana caladbmuli aresaTvis(ares SemomsazRvrel Sekrul konturTagan erTis mimarT gare anSiga) uSvebs amonaxsns Caketili saxiT. amrigad, ares sazRvradSeiZleba gamodiodnen wrewirebi, elifsebi, wesierimravalwaxnagebi momrgvalebuli wveroebiT da a.S. usasruloares magaliTia _ moTxovnili saxis ori naxvretis mqone sibrtyeganxilvaSi SeiZleba CavrToT naxevarsibrte ori naxvretiT(samadbmuli are, Tu CavTvliT, rom naxvretebi misi sworxazovanisazRvridan mdebareoben Sors da am ukanasknelze moiTxovebasasazRvro pirobebis Sesruleba mxolod miaxloebulad). amtipis amocanebi gansakuTrebiT mniSvnelovania samTo saqmeSigamoyenebisaTvis. meTodis arsis gadmocemisas CavTvaloTgarkveulobisaTvis S are sasrulod, romelic SemosazRvruliaL 1 (Sida) da L 2 (gare) mrudeebiT.SemovitanoT ganxilvaSi damxmare ω(t) funqcia, romelicgansazRvrulia L 2 -ze, Tanaxmad tolobisaϕ ( t)− tϕ′( t)−ψ( t)= 2ω(t)(t L 2 -zea) (96)Tu jer SevkrebT, xolo mere gamovaklebT erTmaneTs wevrwevrad(96)-sa da (94)-s, CavTvliT ra rom C = 20 , miviRebT,ϕ(t)= ω(t)+ f ( t),ψ ( t)= −⎬[ ] ⎫ω(t)+ tω′( t)+ [ f ( t)− tf ′(t)].⎭(97)ω(t)-s saSualebiT SemoviRoT ori axali ϕ 0 (z) da ψ 0 (z)funqcia, Semdegi saxissadac1 ω(t)dt⎫ϕ0( z)= ϕ(z)− ∫ − F(z),2πi−⎪L t z2⎬1 ω(t)+ tω′( t)ψ ( ) = ( ) +− ⎪0z ψ z ∫dt G(z),2πit − z⎪L2⎭F(z)=12πi∫L2f ( t)dt 1 f ( t)− tf ′(t), G(z)= ∫ dt .t − z 2πit − zL2(98)Tu ufro gamovkveTavT saZiebel ϕ da ψ funqciebs,CavTvliT, ra maT L 2 -is gareT nulis tolad, maSin (97) toloba,96

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