Abstract
We state in general form the principle of possible displacements for a “shell-fluid” mechanical system, on the basis of which it is possible to solve dynamic problems taking account of a geometrically nonlinear process of deformation of the shell and nonpotential motions of a viscous fluid. It is shown that this principle yields the equations of motion of the shell and fluid as components of this system, confirming the reliability of the principle. The conditions of force contact are taken into account as a load term in the equations of motion of the shell. Bibliography: 5 titles.
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Literature Cited
V. V. Novozhilov,Theory of Elasticity [in Russian], Leningrad (1958).
Ya. F. Kayuk,Geometrically Nonlinear Problems of the Theory of Plates and Shells [in Russian], Kiev (1987).
N. E. Kochin, I. A. Kibel', and N. V. Roze,Theoretical Fluid Mechanics [in Russian], Moscow (1963).
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Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 117–123.
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Kayuk, V.Y. Application of the principle of possible displacements to problems of the dynamics of a “shell-fluid” system. J Math Sci 86, 3161–3164 (1997). https://doi.org/10.1007/BF02355718
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DOI: https://doi.org/10.1007/BF02355718