PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

On a cusped elastic solid-incompressible fluid interaction problem. Harmonic vibration

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Admissible static and dynamical problems are investigated for a cusped plate. The setting of boundary conditions at the plates ends depends on the geometry of sharpenings of plates ends, while the setting of initial conditions is independent of them. Interaction problem between an elastic cusped plate and viscous incompressible fluid is studied.
Rocznik
Strony
5--29
Opis fizyczny
Bibliogr. 25 poz.
Twórcy
  • Vekua Institute of Applied Mathematics, Tbilisi State University, 2 University Str., 380043 Tbilisi, Georgia
Bibliografia
  • [1] Belotserkovskii, S.M., Lifanov, I.K., Numerical Methods for Singular Integral Equations and Their Applications to Aerodynamic, Theory of Elasticity and Electrodynamic, Nauka, Moscow, (1985), (in Russian).
  • [2] Bitsadze, A.V., Some Classes of Partial Differential Equations, Nauka, Moscow, (1981), (in Russian).
  • [3] Boikov, I.V., Dobrynina, N.F., Domnin, L., Approximate Methods for Calculating of H’adamard Integrals and Solving Hypersingular Integral Equations, Penza, (1998), (in Russian).
  • [4] Chinchaladze, N., Cylindrical bending of the prismatic shell with two sharp edges in case of a strip, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 10(1), (1995), 21-23.
  • [5] Chinchaladze, N., On the vibration of an elastic cusped plate, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 14(1), (1999), 12-20.
  • [6] Chinchaladze, N., Oscillation of the Plate with Cusped Edges, Proceedings of I. Vekua Institute of Applied Mathematics, 52, (2002), (to appear).
  • [7] Glushko, V.P., Savchenko, Yu.B., Degenerate Elliptic Equations of Higher Order Spaces, Operators, Boundary Value Problems, Itogi Nauk Techn. Mat. Anal., 23, (1985), 125-218, (in Russian).
  • [8] Donnel L.H., Beams, Plates and Shells, McGraw-Hill, Book Company, (1976).
  • [9] Jaiani, G. V. Solution of Some Problems for a Degenerate Elliptic Equation of Higher Order and Their Applications to Prismatic Shells, Tbilisi University Press, (1982), 1-178, (in Russian).
  • [10] Jaiani, G.V., On a physical interpretation of fichera’s function, Acad. Naz. dei Lincei, Rend, della Sc. Fis. Mat. e Nat., 8, (68-5), (1980), 426-435.
  • [11] Jaiani, G.V., Elastic bodies with non-smooth boundaries-cusped plates and shells, ZAMM, 76, (1996) Suppl. 2, 117-120.
  • [12] Loitsianskii L., Mechanics of Fluid and Gas, Moscow, (1960), (in Russian).
  • [13] Lovitt U., Linear Integral Equations, Gosudarstvennoe Techniko-Teoreticheskoe izdatel’stvo, Moscow-Leningrad, (1957), (in Russian).
  • [14] Makhover, E.V., Bending of a plate of variable thikness with a cusped edge, Scientific Notes of Leningrad State Ped. Institute, 17(2), (1957), 28-39, (in Russian).
  • [15] Makhover, E.V., On the spectrum of the fundamental frequency, Scientific Notes of Leningrad A.I. Hertzen State Ped. Institute, 197, (1958), 113-118, (in Russian).
  • [16] Mikhlin, S.G., Variational Methods in Mathematical Physics, Nauka, Moscow, (1970), 1-512, (in Russian).
  • [17] Muskhelishvili N., Singular Integral Equations, Noordhoff, (1953).
  • [18] Smirnov, M.M., Degenerate Elliptic and Hyperbolic Equations, Nauka, Moscow, (in Russian).
  • [19] Solonikov V.A., On quasistationary approximation in the problem of motion of a capillary drop. Preprint 7/98, Pré-publicaçŏes de Matemática, Universidade de Lisboa, 1998.
  • [20] Timoshenko S., Woinowsky-Krieger S., Theory of plates and shells, McGraw-Hill Book Co., New York-Toronto-London, (1959).
  • [21] Usunov, S.G., Variational-difference approximation of a degenerate ordinary differential equation of fourth order. In collection, Correct Boundary Value Problems for Non-classical Equations of Mathematical Physics, Novosibirsk (1980), 159-164, (in Russian).
  • [22] Vekua, I.N., On a way of calculating of prismatic shells, Proceedings of A. Razmadze Institute of Mathematics of Georgian Academy of Sciences, 21, (1955), 191-259, (in Russian).
  • [23] Vekua, I.N., The theory of thin shallow shells of variable thickness, Proceedings of A. Razmadze Institute of Mathematics of Georgian Academy of Sciences, 30, (1965), 5-103, (in Russian).
  • [24] Vekua, I.N., Shell Theory: General Methods of Construction, Pitman Advanced Publishing Program, Boston-London-Melbourne, (1985).
  • [25] Wollmir A., Shells on the Flow of Fluid and Gas, Problems of Hydroelasticity, Moscow, (1981), (in Russian).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD7-0032-0075
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.