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JOURNALS // Vestnik Chuvashskogo Gosudarstvennogo Pedagogicheskogo Universiteta im. I. Ya. Yakovleva. Seriya: Mekhanika Predel'nogo Sostoyaniya // Archive

Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2024 Issue 4(62), Pages 76–88 (Mi mps98)

On the stability of a cylindrical hydrodynamic suspension

D. K. Andreichenkoa, E. Yu. Krylovab

a Saratov State University named after N. G. Chernyshevsky, Faculty of Computer Sciences and Informational Technologies
b N. G. Chernyshevsky Saratov State University, Faculty of Mathematics and Mechanics

Abstract: On the basis of a refined mathematical model, the stability of a cylindrical hydrodynamic suspension is investigated with full consideration of the dependence of the velocity distribution profile of the liquid on the radial coordinate in the supporting layer. A suspension with a light internal body is stable over a large range of changes in relative eccentricity, and when overloads change by an amount of about a dozen accelerations of free fall, it moves from one equilibrium state to another. A suspension with a heavy inner body is unstable. The use of a refined mathematical model leads to a greater margin of stability of the suspension.

Keywords: cylindrical hydrodynamic suspension, viscous incompressible fluid, combined dynamic systems, frequency stability criterion, boundary value problems.

UDC: 532.516.5+531.36

Received: 10.10.2024
Revised: 27.12.2024
Accepted: 05.12.2024

DOI: 10.37972/chgpu.2024.62.4.006



© Steklov Math. Inst. of RAS, 2026