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Motion in an ideal liquid of a body containing a moving lumped mass inside it. (Russian, English) Zbl 1133.76007
Prikl. Mat. Mekh. 67, No. 4, 620-633 (2003); translation in J. Appl. Math. Mech. 67, No. 4, 553-564 (2003).
The authors study the motion of hydro-mechanical system consisting of a rigid body symmetric with respect to three mutually perpendicular planes. There is a material point inside the body. The body is immersed into infinite ideal liquid which performs irrotational motion and rests at in the infinity. The body moves in the liquid due to the displacements of the material point with respect to the body. The authors analyze the cases when the body sinks or floats.

MSC:
76B10 Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing
70E99 Dynamics of a rigid body and of multibody systems
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References:
[1] Lamb, H., Hydrodynamic, (1945), Dover Publ New York
[2] Kirchhoff, G., Vorlesungen über mathematische physik. 1, mechanik, (1897), B. Teubner Leipzig · JFM 28.0603.01
[3] Kozlov, V.V.; Ramodanov, S.M., The motion of a variable body in an ideal fluid, Prikl. mat. mekh., 65, 4, 592-601, (2001) · Zbl 1046.76008
[4] Kozlov, V.V.; Ramodanov, S.M., The motion in an ideal fluid of a body with a rigid shell and variable mass geometry, Dokl. ross. akad. nauk, 382, 4, 478-481, (2002)
[5] Miloh, T.; Galper, A., Self-propulsion of general deformable shapes in a perfect fluid, Proc. roy. soc. London. ser. A., 442, 1915, 273-299, (1993) · Zbl 0808.76009
[6] Galper, A.; Miloh, T., Dynamic equations of motion for a rigid or deformable body in an arbitrary non-uniform potential flow field, J. fluid mech., 295, 91-120, (1995) · Zbl 0866.76011
[7] Feller, W., An introduction to probability theory and its applications, (1970), Wiley New York · Zbl 0138.10207
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