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myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

myari deformadi sxeulis meqanikis ganviTarebis etapebi XX ...

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( )I i( )I e1L b(Q0) − ∫∫b(M ) ⋅Φˆ( M , Q0) doμ= −v(Q0),(42)201L b(Q0) + ∫∫b(M ) ⋅Φˆ( M , Q0) doμ= −υ( Q0) . (43)201(30) da (36)-ze dayrdnobiT, roca δ ( Q)= , ar aris Zneli2davrwmundebiT, rom b(M)-is mocema <strong>myari</strong> tanis gadaadgilebisformiTxb ( M ) = + ω × r = υ + ω ×Γ + ω × R(44)υ0μ 0Q0warmoadgens (43)-is Sesabamisi erTgvarovani gantolebis amonaxsns( ) 1I e 0L b(Q0) = ∫∫ b(M ) ⋅Φˆ( M , Q0) do μ= 0 . (45)20amasTan erTad B( M ) = −b(M ) warmoadgens (42) gantolebisamonaxsns, roca O zedapiri gadaadgildeba rogorc <strong>myari</strong> tani,maSin mTeliVimoculoba aseve gadaadgildeba rogorc <strong>myari</strong>tani; rac gamomdinareobs (41) da (36)-dan, roca _ δ ( Q)= 1.meore sasazRvro amocanaSi O-ze moicema zedapiruli ZalebiF = ( n ⋅Tˆ) 0, xolo gadaadgilebaTa veqtori iZebneba pirvelipotencialis formiTu ( q)= ∫∫a(M ) ⋅Uˆ ( M , Q)doM. (46)0(34)-is gamoyenebiT, aq gamotovebuli (magram aratrivialuri)gardaqmnebis Semdeg, mivdivarT integralur gantolebamdeamasTannII( i)1L a(Q0) + ∫∫Φˆ ( Q0, M ) ⋅ a(M ) doM= F(Q0) = ( n0⋅Tˆ)0,(47)20( ) 1IIe L a(Q0) − ∫∫Φˆ ( Q0, M ) ⋅a(M ) doM= −F(Q0) = ( n0⋅Tˆ)0. (48)2a−Vi0− isadmi gare normalia.zemoT vaCveneT, rom (42)-(43), (47)-(48) veqtorul gantolebebSiintegralebi ganixileba maTi mTavari mniSvnelobebis azriT –gantolebaTa es sistema singularulia. Semdgomi gamokvlevebissirTule mdgomareobs maT mimarT Teoremisa da fredholmisalternativis miyenebis damtkicebaSi ( μ da v-isas, romlebic29

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