On the Instability with Probability One of Equilibrium of Ideal Incompressible Liquid Situated in a Vertical Cylinder under Its Random Coaxial Vibration

The paper concerns with the equilibrium of the ideal incompressible liquid situated in a moving cylindrical vertical vessel. It is proved that the equilibrium is unstable with probability one if the vessel movement is defined as the vertical random vibration. Random vibration is simulated by station...

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Bibliographic Details
Published in:Moscow University mechanics bulletin 2022-12, Vol.77 (6), p.155-161
Main Author: Antonov, I. L.
Format: Article
Language:English
Subjects:
Classical Mechanics
Markov chains
Physics
Physics and Astronomy
Random vibration
Vertical cylinders
Vessels
Online Access:Get full text
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Summary:The paper concerns with the equilibrium of the ideal incompressible liquid situated in a moving cylindrical vertical vessel. It is proved that the equilibrium is unstable with probability one if the vessel movement is defined as the vertical random vibration. Random vibration is simulated by stationary Markov chain.
ISSN:0027-1330
1934-8452
DOI:10.3103/S0027133022060024