Amplitude-Frequency Characteristics and Stability Regions of a Two-Layer Liquid Under Angular Vibrations of a Solid Body

Win Ko Ko; Ко Ко Вин; A.N. Temnov; Темнов А. Н.

doi:10.31857/S0032823523060103

Amplitude-Frequency Characteristics and Stability Regions of a Two-Layer Liquid Under Angular Vibrations of a Solid Body

Authors: Ko Ko W.¹, Temnov A.¹
Affiliations:
1. Bauman Moscow State Technical University
Issue: Vol 87, No 6 (2023)
Pages: 995-1005
Section: Articles
URL: https://ruspoj.com/0032-8235/article/view/675085
DOI: https://doi.org/10.31857/S0032823523060103
EDN: https://elibrary.ru/YDLUQT
ID: 675085

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Abstract

The article considers the problem of nonlinear oscillations of the motion of liquids completely filling an axisymmetric cylindrical vessel moving around a horizontal axis $O * Y$ . The motion of each fluid is assumed to be potential and formulated in a cylindrical coordinate system. The influence of nonlinear coefficients on the characteristics of dynamic processes during finite rotational movements of the vessel is estimated and the case of forced angular oscillations of a vessel with liquids relative to a fixed axis is considered. The main nonlinear effects associated with the rotation of the diameter of the interface of liquids are also revealed. An approximate solution of the obtained non-linear equations, found by the Bubnov-Galerkin method, was used in the article. As a result of the transformation, the amplitude-frequency characteristics and stability regions of a two-layer liquid are constructed under forced angular oscillations of a round cylindrical vessel.

Keywords

mechanical system, cylindrical cavity, hydrodynamic coefficients, basic resonance, disturbed surface, rotational motion

About the authors

Win Ko Ko

Bauman Moscow State Technical University

Author for correspondence.
Email: win.c.latt@gmail.com
Russia, Moscow

A.N. Temnov

Bauman Moscow State Technical University

Author for correspondence.
Email: antt45@mail.ru
Russia, Moscow

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