Krasnopolskaya T. Regular and chaotic processes of interaction between fluid and rigid bodies and structures

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0507U000352

Applicant for

Specialization

  • 01.02.05 - Механіка рідини, газу та плазми

17-05-2007

Specialized Academic Board

Д 26.196.01

Institute of Hydromechanics of NAS of Ukraine

Essay

The thesis is devoted to а scientific problem of rule revealing of regular and chaotic steady state regimes of interaction between fluid and rigid bodies and structures under ideal and nonideal excitation. The rules of chaotic and regular fluid surface waves in cylindrical tanks under their space oscillations with nonideal excitation are determined. Existence of chaotic regimes of free surface oscillations under limited excitations has been proven for one-mode forced and two-mode parametric resonances. Possibility of energy supply directly from a wavemaker to cross-waves is shown analitycally and checked experimentally. Patterns of infinite hydroelastic systems excitation by limited power-supply (when energy consumption is due to transmition of waves in space) are revealed. Chaotic acoustic waves generation is shown for the case when the motor with limited power stands on a foundation with connection to an infinite plate and an acoustic medium. A new mathematics model of radiation of chaotic signals inmedium with resistance by a piezoceramic transducer with a vacuum-tube generator is constructed. Interaction between the transducer and the generator causes chaotic steady state regimes. Modified criteria of stirring quality of viscouse fluids are constructed. Two main elements of coherent structures of mixtures are revealed: thin filaments and unmixed zones.

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