Mathematical modeling of hydroelastic walls oscillations of the channel on Winkler foundation under vibrations

Lev I. Mogilevich1 , Victor S. Popov2 , Anna A. Popova3 , Aleftina V. Christoforova4

1, 2, 3Yuri Gagarin State Technical University of Saratov, Saratov, Russia

4Saratov State University, Saratov, Russia

2Corresponding author

Vibroengineering PROCEDIA, Vol. 8, 2016, p. 294-299.
Received 29 May 2016; accepted 24 August 2016; published 7 October 2016

Copyright © 2016 JVE International Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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The bending oscillations of a narrow slit channel walls with highly viscous liquid inside and put on a vibrating Winkler foundation are investigated. The channel walls bending oscillations laws are discovered on the basis of hydroelasticity problem solution, as well as pressure in the liquid ones. The deflections amplitudes distribution and liquid pressure along the channel functions are constructed. The obtained results allow investigating dynamic processes, conditioned by constructions elastic elements and viscous liquid interaction in lubrication system, damping and various devices and units.

Keywords: hydroelastic oscillations, viscous liquid, plate, vibrations, Winkler foundation.


The research is made under the financial support of the Russian Foundation for Basic Research (RFFI) Grant 15-01-01604-a.


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