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On the stability of motion of a movable compound structure with a fluid load

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Abstract

We study the stability of uniform rectilinear motion of a system of solid bodies connected by springs and partly filled with an ideal fluid. The frequency equation obtained is studied as a function of the fundamental parameters of the mechanical system. Bibliography: 5 titles.

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Literature Cited

  1. N. N. Moiseev, “The problem of small vibrations of an open vessel with a fluid subject to an elastic force,”Ukr. Matem. Zh., No. 2 (1952).

  2. L. N. Sretenskii,Theory of Wave Motions of a Fluid [in Russian], Moscow (1977).

  3. Yu. N. Kononov, “On the motion of a solid body having a cylindrical cavity partly filled with an ideal fluid of variable mass,”Mekh. Tver. Tela, No. 18, 84–88 (1986).

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  4. I. V. Proskuryakov,A Collection of Problems on Linear Algebra [in Russian], Moscow (1978).

  5. N. N. Moiseev, “On two pendulums filled with a fluid,”Prikl. Mat. Mekh.,16, No. 6, 671–678 (1952).

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Additional information

Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 111–116.

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Kononov, Y.N. On the stability of motion of a movable compound structure with a fluid load. J Math Sci 86, 3157–3160 (1997). https://doi.org/10.1007/BF02355717

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  • DOI: https://doi.org/10.1007/BF02355717

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