Solodun A. Variational method of investigating of nonlinear dynamical processes in moving limited complex configuration volumes of liquid

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0402U003374

Thesis Registration Form

0402U003374.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

05-11-2002

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

The thesis is devoted to studying an influence of presence utter diametrical ribs in cylindrical cavities partly filled by the liquid in nonlinear sense. Joint moving of considered system "body–liquid" is studied. Basing on the variational wording of problem finite dimensional nonlinear mathematical models are built. These models describe a moving of liquid in the field of the main resonance. Using Bubnov–Galyorkin method periodic solutions of a nonlinear differential equation system, are built. Main physical phenomena are described using equations of the first approximation. Analysis of stability of periodic solution received is made. Form of the free surface and main features of forces interaction of body with liquid are determined. Behavior of node line is explored

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Files

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