myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

X ( z)b(t)dtF( z)= ∫ + X ( z)P(z), (101)+2πiL X ( t)(t − z)sadac P(z)_nebismieri polinomia, xolo X(z) _ erTgarovani+−amocanis F ( t)= a(t)F ( t)e.w. kanonikuri amonaxsni, romelic igebacxadi saxiT (kvadraturebSi).amonaxsnis agebisaTvis, romelsac gaaCnia gansazRvrulirigi usasrulobaSi, moiTxoveba davadoT SezRudvebi P(z)polinoms, da aseve b(t) funqcias (ix. n. musxeliSvili, 1966).drekadobis brtyeli Teoriis amocanebis dayvana wrfiviSeuRlebis amocanebamde warmoadgens aseTi amocanebis amoxsnis(gansakuTrebiT Sereuli amocanebis) erT-erT efeqtur meTods.sailustraciod moviyvanoT ZiriTadi Sereuli amocanisamoxsna naxevarsibrtyisaTvis misi wrfiv SeuRlebis amocanamdedayvanis gziT (n.nusxeliSvili, 1966).vTqvaT izotropul sxeuls ukavia qvedanaxevarsibrtyey < 0 , romelsac aRvniSnavT S − -iT. zeda naxevarsibrtye aRvniSnoT+S -iT, namdvili RerZi _ L-iT, L-ze dadebiT mimarTulebad miviRoT_∞-dan +∞-mde.amovideT Zabvebisa da gadaadgilebebis zogadi kompleqsuriwarmodgenis formulebidan, kerZod visargebloT formulebiTYy− iX = Φ( z)+ Φ(z)+ zΦ′( z)+ Ψ(z), (102)y⎛ ∂u∂u⎞2μ ⎜ + i ⎟ = χΦ(z)− Φ(z)− zΦ′( z)− Ψ(z), (103)⎝ ∂x∂x⎠sadac Φ(z) da Ψ(z)_ S − areSi saZiebeli holomorfuli funqciebia,romlebsac didi z -ebisas aqvT saxeX + iY ⎛ 1 ⎞( z)= − + 0⎜⎟ ,2πz⎝ z ⎠X − iY ⎛ 1 ⎞( z)= + 0⎜⎟ ,2πz⎝ z ⎠Φ2Ψ2(X, Y) _ gare Zalvebis mTavari veqtoria, romlebic modebulia L-ze.−S areSi, ori holomorfuli Φ(z) da ψ(ζ) funqciisnacvlad SemoviRoT uban-uban _ holomorfuli erTi Φ(z) funqcia,99