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On a spectral problem in vibration mechanics: Computation of elastic tanks partially filled with liquids. (English) Zbl 0311.73053

MSC:
74K25 Shells
74H99 Dynamical problems in solid mechanics
74E30 Composite and mixture properties
74K15 Membranes
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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[1] Pin, Tong, Liquid sloshing in an elastic container, () · Zbl 0156.23003
[2] Boujot, J, Sur l’analyse des caractéristiques vibratoires d’un liquide contenu dans un réservoir, J. Mécanique, 11, 649-671, (1972) · Zbl 0251.76013
[3] Berger, H; Boujot, J; Ohayon, R, ONERA document, N.T. catégorie 4, (1972)
[4] Temam, R, Analyse numérique, (1970), Presses Univ. France · Zbl 0187.11801
[5] Lions, J.L; Duvaut, G, LES inéquations en Mécanique et en physique, (1972), Dunod Paris · Zbl 0298.73001
[6] Lions, J.L, Quelques Méthodes de Résolution des problèmes aux limites non linéaires, (1969), Dunod Paris · Zbl 0189.40603
[7] Deny, J; Lions, J.L, LES espaces du type de beppo Levi, Ann. inst. Fourier (Grenoble), 5, 305-370, (1953/1954) · Zbl 0065.09903
[8] Mikhlin, S.G, Variational methods in mathematical physic, (1964), Pergamon Press New York · Zbl 0119.19002
[9] Moiseev, N.N; Rumyantsev, V.V, Dynamic stability of bodies containing fluids, (1968), Springer-Verlag Berlin · Zbl 0169.56302
[10] Boujot, J, Sur le problème spectral associé aux vibrations d’un fluide contenu dans un réservoir déformable, C.R. acad. sci. ser. A, 277, 1079-1082, (1973)
[11] Ciarlet, P.G; Raviart, P.A, General Lagrange and Hermite interpolation in R^n with applications to finite element methods, Arch. rational mech. anal., 46, 177-199, (1972) · Zbl 0243.41004
[12] Zienkiewicz, O.C, The finite element method in engineering science, (1971), McGraw-Hill New York · Zbl 0237.73071
[13] Naghdi, P.M, On the theory of thin elastic shells, Quart. appl. math., 14, 369-380, (1957) · Zbl 0154.22602
[14] Loden, W.A, ()
[15] Germain, P, ()
[16] Anquez, L; Berger, H; Ohayon, R; Valid, R, Vibrations of tanks partially filled with liquids, ()
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