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Analysis and optimization of the motion of a body controlled by means of a movable internal mass

✍ Scribed by F.L. Chernous’ko


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
688 KB
Volume
70
Category
Article
ISSN
0021-8928

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✦ Synopsis


The controlled horizontal motion of a body in the presence of dry friction forces is investigated. Control is accomplished by means of a movable mass that can move within the body in a bounded range. Some simple modes of periodic relative motions of the movable mass, under which the entire system moves as a whole, are investigated. Constraints are imposed on the relative displacement, velocity and acceleration of the movable mass. The optimum parameters of this relative motion, under which the maximum mean velocity of the body is reached, are determined.


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The controlled motion of a rigid inhomogeneous cylinder over a rough horizontal plane is considered. The control is provided by controlled motion of internal masses. Mathematical models are constructed that correspond to rolling without loss of contact or slippage. The conditions for the physical im