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Optimal rotation deceleration of a dynamically symmetric body with movable mass in a resistant medium

被引：0
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作者：
L. D. Akulenko
Ya. S. Zinkevich
D. D. Leshchenko
A. L. Rachinskaya
机构：
[1] Russian Academy of Sciences,Institute for Problems of Mechanics
[2] Odessa State Academy of Civil Engineering and Architecture,undefined
[3] I.I. Mechnikov National University,undefined
来源：
Journal of Computer and Systems Sciences International | 2011年 / 50卷
关键词：
System Science International; Elastic Element; Symmetric Body; Bellman Function; Minimum Time Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A minimum-time problem on deceleration of rotation of a free rigid body is studied. The body is assumed to contain a viscous-elastic element, which is modeled as a movable point mass attached to the body via a damper. In addition, the body is subjected to a retarding torque generated by linear medium resistance forces. In an undeformed state, the body is assumed to be dynamically symmetric, with the mass being located on the symmetry axis. An optimal control law for deceleration of rotation of the body is synthesized, and the corresponding time and phase trajectories are determined.
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页码：198 / 204
页数：6
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