Abstract: The purpose of the work is the discovery and the study of peculiarities of the dynamics of a hydromechanical system under the presence of periodic influences possessing no predominant direction in space under the performance a straightforward motion by the liquid part of the system. Methods. The analytical investigational methods for the equations of solid bodies motion and boundary problems for Navier–Stokes equation are used. Results. A new problem on the hydro-mechanical system motion under external non-stationary influences is formulated and solved. The system consists of a viscous liquid and three solid bodies that are a wall, a plate and a membrane which is permeable for the liquid. The wall fulfils a prescribed motion. The plate and the membrane are free. Important new circumstances in the formulation of the problem in particular are the possibility for the liquid to realize only a straightforward motion and that the motion of the membrane is not prescribed. Conclusion. The obtained results can be used in a scientific search of ways to control hydro-mechanical systems/

Cite: Sennitskii V.L.
On the dynamics of a hydro-mechanical system with a viscous liquid fulfilling a straightforward motion
Известия высших учебных заведений. Прикладная нелинейная динамика. 2026. V.34. N3. P.453 - 461.

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