Optimal deceleration of rotation of a dynamically symmetric body with a cavity filled with viscous liquid in a resistive medium
Leonid D. Akulenko, Dmytro D. Leshchenko, Alla Rachinskaya
Abstract
Leonid D. Akulenko, Dmytro D. Leshchenko, Alla Rachinskaya
Abstract
The problem of time-optimal deceleration of rotation of a free solid body is studied. It is assumed that the body contains a spherical cavity filled with highly viscous liquid. Low decelerating moment of viscous friction forces also acts on the solid body. It is assumed that the body is dynamically symmetric. The optimal control law for deceleration of rotation of the carrier solid body in the form of synthesis, the operation time, and the phase trajectories are determined.
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The problem of time-optimal deceleration of rotation of a free solid body is studied. It is assumed that the body contains a spherical cavity filled with highly viscous liquid. Low decelerating moment of viscous friction forces also acts on the solid body. It is assumed that the body is dynamically symmetric. The optimal control law for deceleration of rotation of the carrier solid body in the form of synthesis, the operation time, and the phase trajectories are determined.
Key concepts: Solid body, Rotation (mathematics), Resistive touchscreen, Viscous liquid, Rigid body, Moment (physics), Mechanics, Phase (matter)