Gubareva V. Influence of Unsymmetry on the Stability of Uniform Rotations of Connected Rigid Bodies Systems and Rigid Body with Vortex Filling

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U000212

Thesis Registration Form

0400U000212.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

24-12-1999

Specialized Academic Board

Д11.193.01

Essay

Dynamical Unsymmetry Connected Rigid Bodies System; Rigid Body with Vortex Filling. Particular solutions of the corresponding differential equations systems respond to the uniform rotations of rigid bodies systems: the systems of two rigid bodies whitch are composed via ideal spherical joints and the systems of rigid body - liquid. The necessary and sufficient conditions of the stability of rotations are obtained by means A.M. Lyapunov's methods. The results are compared. Influence of unsymmetry on the changes of the stability domain are analysed in comprasion of the previous results.

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