Kovalchuk B. Nonlinear dynamics of a liquid with a free surface in the tank which performs angular movements

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U004532

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

13-09-2011

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

On the basis of variation principles and methods of nonlinear mechanics the developed correct and effective nonlinear mathematical model for research of transients of nonlinear dynamics of joint movement of system the tank-liquid in case of angular movement of system. For problems of joint movement of the tank with a liquid with a free surface at different types of kinematic and dynamic excitation of movement have been defined: amplitudes of excitation of all forms of fluctuations; pictures of waves on a free surface of a liquid; parametres of angular movement of the tank; the main vector of pressure forces of a liquid on tank walls. For check of reliability of the constructed model the group of test problems has been investigated. Also, on the basis of the constructed model influence of the form of an impulse of force on development of dynamic processes in system is studied, modes of origin of a circular wave on a free surface of a liquid are investigated at angular movement of a physical pendulum. Also influence of a circular wave on movement to the tank is investigated.

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