Velasko E. Stability of stationary conditions of a system of rigid bodies formed in half-closed chain

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U002437

Thesis Registration Form

0499U002437.pdf

Applicant for

Velasko Errera Grasiela

Specialization

01.02.01 - Теоретична механіка

Date of defense

24-09-1999

Specialized Academic Board

Д11.193.01

Essay

The dissertation is devoted to investigation of dynamical properties of a system of two heavy Lagrange's gyroscopes formed in half-closed chain in the case when the bodies are coupled by elastic universal hinge. Different forms of nonlinear equations of motion of this system are found. It is shown that the system allows the permanent rotation of object around vertical. Necessary and sufficient conditions of stability of this motion are found. The influence of asymmetry on stability of permanent rotations is investigated. Conditions of existence of regular precession of the system are received. Sufficient conditions of stability of their motions are obtained.

Thesis supervisor

Савченко Олексій Якович

Official opponents

Iлюхiн Олександр Олексiйович,
Коваль Вiктор Iванович,

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