Resheniya modeli MargerraVlasova s sharnirnym zakrepleniem kraya obolochki: Cushchestvovanie i edinstvennost' obobshchennykh re,Used

Resheniya modeli MargerraVlasova s sharnirnym zakrepleniem kraya obolochki: Cushchestvovanie i edinstvennost' obobshchennykh re,Used

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V 1957 godu I. Vorovich opublikoval stat'yu, v kotoroy dal opredelenie obobshchennykh resheniy modeley MargerraVlasova kolebaniy pologikh obolochek s zhestkim zakrepleniem kraya obolochki i dokazal teoremu ikh sushchestvovaniya. Teorema edinstvennosti dlya sluchaya modeli s maloy inertsiey prodol'nykh peremeshcheniy byla dokazana V. Sedenko v 1994 godu na osnove predlozhennogo im novogo metoda, kotoryy v dal'neyshem byl ispol'zovan v analogichnykh situatsiyakh spetsialistami preimushchestvenno iz SShA. Zdes' avtorami izlozheny teoremy sushchestvovaniya i edinstvennosti obobshchennykh resheniy modeli MargerraVlasova s maloy inertsiey prodol'nykh peremeshcheniy pri sharnirnom zakreplenii kraya obolochki. Teoremy sushchestvovaniya dokazany na osnove predel'nogo perekhoda priblizheniy BubnovaGalerkina s ispol'zovaniem ravnomernykh energeticheskikh otsenok. Pri dokazatel'stve teorem edinstvennosti ispol'zovan metod V. Sedenko.

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