 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
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| In English (Mech. Solids): | | 5124 |
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| D.K. Andreichenko and E.Yu. Krylova, "Modeling the Stability of a Cylindrical Hydrodynamic Suspension," Mech. Solids. 60 (4), 2531-2541 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2531-2541 |
| DOI |
10.1134/S0025654425602447 |
| Title |
Modeling the Stability of a Cylindrical Hydrodynamic Suspension |
| Author(s) |
D.K. Andreichenko (Saratov State University, Saratov, 410012 Russia, andreichenkodk@gmail.com)
E.Yu. Krylova (Saratov State University, Saratov, 410012 Russia, kat.krylova@bk.ru) |
| Abstract |
A refined mathematical model of a cylindrical hydrodynamic suspension is proposed with
full consideration of the dependence of the velocity distribution profile of the liquid on the radial coordinate in the supporting layer, which more fully takes into account the influence of viscous friction
forces. On the basis of the proposed model, the stability of the suspension is investigated using the frequency criterion of stability of hybrid dynamic systems. A suspension with a light inner body, the
reduced density of which is less than the density of the supporting layer, is asymptotically stable near
the central position, and remains stable over a large range of changes in relative eccentricity. The use
of a refined mathematical model leads to a greater margin of stability and a shorter transition time for
suspension with a light inner body. An increase in the angular velocity of rotation of the outer cylinder
leads to a significant decrease in the characteristic values of the displacements of the inner cylinder.
In this case, a suspension with a light inner body has a large margin of stability and remains operational
under significant external overloads. A suspension with a heavy inner body, the reduced density of
which is greater than the density of the supporting layer, is unstable near the central position. When it
is displaced from the central position along the curve of mobile equilibrium, a stability region may
occur, but the stability margin of the suspension with a heavy internal body is insignificant. |
| Keywords |
cylindrical hydrodynamic suspension, hybrid dynamic systems, frequency stability criterion |
| Received |
23 March 2025 | Revised |
22 April 2025 | Accepted |
23 May 2025 |
| Link to Fulltext |
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