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.
Similar content being viewed by others
Literature Cited
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).
L. N. Sretenskii,Theory of Wave Motions of a Fluid [in Russian], Moscow (1977).
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).
I. V. Proskuryakov,A Collection of Problems on Linear Algebra [in Russian], Moscow (1978).
N. N. Moiseev, “On two pendulums filled with a fluid,”Prikl. Mat. Mekh.,16, No. 6, 671–678 (1952).
Additional information
Translated fromTeoreticheskaya i Prikladnaya Mekhanika, No. 26, 1996, pp. 111–116.
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02355717