Pozdnyakovich A. "Investigation of stability and stabilizability for motion of a rigid body with a rotor"

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U001357

Thesis Registration Form

0404U001357.pdf

Applicant for

Specialization

  • 01.02.01 - Теоретична механіка

18-03-2004

Specialized Academic Board

Д 11.193.01

Essay

The problem of existence of permanent rotations of mechanical system around an inclined axis is investigated. The necessary and sufficient conditions of existence of permanent rotations of a rigid body with gyro around an inclined axis are found. The zero solution of system is stable for dynamically symmetrical carrier. For dynamically asymmetrical carrier the zero solution as a rule is unstable. The necessary conditions of stability of stationary motion for double-link pendulum with a rotating rotor are obtained. The conditions of asymptotic stability of equilibrium of a physical pendulum with joined linear oscillator are obtained.

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