For citation:
Sennitskii V. L. On the dynamics of a hydro-mechanical system with a viscous liquid fulfilling a straightforward motion. Izvestiya VUZ. Applied Nonlinear Dynamics, 2026, vol. 34, iss. 3, pp. 453-462. DOI: 10.18500/0869-6632-003218, EDN: XDAPZK
On the dynamics of a hydro-mechanical system with a viscous liquid fulfilling a straightforward motion
The purpose of the work is the discovery and the study of peculiarities of the dynamics of a hydro-mechanical 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.
The methods. The analytical investigational methods for the equations of solid bodies motion and boundary problems for Navier–Stokes equation are used.
The results. A new problem on the hydro-mechanical system motion under external nonstationary 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 possibikity for the liquid to realize only a straightforward motion and that the motion of the membrane [s not prescribed.
The conclusion. The obtained results can be used in particular in a scientific search of ways to control hydro-mechanical systems.
- Chelomei VN. Paradoxes in mechanics caused by vibrations. Sov. Phys. Doklady. 1983;270(1):linebreak 62–67 (in Russian).
- Sennitskii VL. Motion of a circular cylinder in a vibrating liquid. J. Appl. Mech. Tech. Phys. 1985;26(5):620–623. DOI: 10.1007/BF00915307.
- Sennitskii VL. Motion of a sphere in fluid caused by vibrations of another sphere. J. Appl. Mech. Tech. Phys. 1986;27:501–505. DOI: 10.1007/BF00910190.
- Lugovtsov BA, Sennitskii VL. Motion of a body in a vibrating liquid. Sov. Phys. Doklady. 1986;289(2):314–317 (in Russian).
- Lyubimov DV, Lyubimova TP, Cherepanov AA. On the motion of a solid body in a vibrating fluid. In: Convective Flows. Perm: Perm. Ped. Institute Publishing; 1987. P. 61–71 (in Russian).
- Sennitskii VL. The motion of inclusions in an oscillating liquid. Siberian Physical Journal. 1995;(4):18–26 (in Russian).
- Sennitskii VL. Paradoxical motion of a liquid. International Journal of Applied and Fundamental Research. 2017;(8):28–33 (in Russian). DOI: 10.17513/mjpfi.11753.
- Vlasova ОА, Kozlov VG, Kozlov NV. Lift force acting on a heavy solid in a rotating liquid-filled cavity with a time-varying rotation rate. J. Appl. Mech. Tech. Phys. 2018;59:219–228. DOI: 10.1134/S0021894418020050.
- Karpunin IE, Kozlov VG. Oscillational dynamics of the separation boundary of liquids in a HeleShaw radial cell. Applied Mechanics and Technical Physics. 2023;64(3):62–-73. (in Russian). DOI: 10.15372/PMTF202215190.
- Sennitskii VL. Effects of a rotational motion of a liquid between curvilinear walls. Izvestiya VUZ. Applied Nonlinear Dynamics. 2025;33(2):219–232. DOI: 10.18500/0869-6632-003155.
- Sennitskii VL. On the structure of a viscous liquid flow under periodic influences which have no predominant direction in space. Izvestiya VUZ. Applied Nonlinear Dynamics. 2025;33(4):531–544. DOI: 10.18500/0869-6632-003163.
- Krilov NM, Bogolyubov NN. Introduction in Non-Linear Mechanics. Moscow-Ijevsk: NITs RKhD; 2004. 352 p. (in Russian).
- Bogolyubov NN, Mitropolskii YA. Asimptotic methods in the theory of non-linear oscillations. M.: GIF-ML, 1958. 408 p. (in Russian).
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