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JOURNALS // Sibirskii Zhurnal Industrial'noi Matematiki // Archive

Sib. Zh. Ind. Mat., 2009 Volume 12, Number 4, Pages 120–127 (Mi sjim587)

This article is cited in 1 paper

On the Effects of Equilibrium and Cyclic Frequency Oscillations of a Solid in a Fluid

V. L. Sennitskiĭ

Lavrent'ev Institute of Hydrodynamics, SB RAS, Novosibirsk

Abstract: We consider the problem of torsional oscillations of an inhomogeneous solid of an arbitrary smooth shape in an ideal fluid in the presence of gravity. We discover new hydromechanical effects: as a result of the mass redistribution of the solid, the stable equilibrium state of the solid changes, while the cyclic frequency of its oscillations is preserved, and conversely, the cyclic frequency of oscillations of the solid changes, while its stable equilibrium state is preserved.

Keywords: fluid, solid, equilibrium state, oscillations, cyclic frequency.

UDC: 532.582

Received: 12.05.2009


 English version:
Journal of Applied and Industrial Mathematics, 2010, 4:4, 553–559

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