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Optimal periodic motions of systems with internal masses in resistive media

Felix L. Chernousko, Nikolai Bolotnik
The motion of a body controlled by movable internal masses in a resistive environment along a horizontal straight line
is considered. Optimal periodic modes of motion are constructed for the internal masses to maximize the average speed of the velocity-periodic motion of the body. The maximum displacement allowed for the internal masses inside the body, as well as the relative velocities or accelerations of these masses are subjected to constraints. Three types of the resistance laws - piece-wise linear friction, quadratic friction, and Coulomb's dry friction -are considered.
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