Konstantinov O. Oscillations of liquid with a free surface in the presence of given geometrical non-linearities

The object of research - transition processes of nonlinear dynamics of combined motion of the tank-liquid system under the presence of given geometrical non-linearities conditioned by the weak influencing of gravitation-capillary effects; the subject of research - developing effective nonlinear discrete mathematical model of minimal dimension for research of dynamics of coupled motion cylindrical reservoir and liquid with a free surface under the presence of given geometrical non-linearities on a free surface of liquid; purpose of research - research of nonlinear dynamics of combined motion of the mechanical system reservoir-liquid for the different types of kinematics excitation of the free surface of liquid and dynamic excitation of reservoir in the presence of given geometrical non-linearities; the research method is based on combined application of analytical methods of nonlinear mechanics and variations methods of mathematical physics to variation statement of the problem about motion of the discrete-continued system.