QUANTITATIVE ESTIMATES OF THE TRANSIENT PROCESS OF THE NON-CONTACT GYROSCOPE ROTOR
Tulegulov A.D. Yergaliyev D.S. Aldamzharov K.B. Karipbaev S.Zh. Bazhaev N.A.
2021National Academy of Sciences of the Republic of Kazakhstan
News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences
2021#6Issue 450147 - 154 pp.
The article focuses on finding quantitative estimates of the transient process of the rotor of a non-contact gyroscope, leading to stationary rotation around the axis of the greatest moment of inertia. The Euler - Poinsot solution is used as generating the solution to the problem, and the influence of the elasticity of the rotor, in accordance with the ideas of the perturbation method, is considered as a small perturbation of the Euler motion. The deformations of the gyroscope rotor are determined. The authors assume that the internal friction in the material complies with the Kelvin-Voigt hypothesis. An expression for the nutation angle as a function of time is obtained, and the time constant of the process of damping of nutational oscillations of the rotor is determined. The drifts are found for a real gyroscope, taking into account the aspherization of the rotor.
Dissipative function , Equation of the gyroscope nutation angle , Euler angles , Forces of inertia , Internal friction , Legendre polynomial , Non-contact gyroscope , Poisson’s ratio
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Civil Aviation Academy, Almaty, Kazakhstan
Civil Aviation Academy
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