الفهرس | Only 14 pages are availabe for public view |
Abstract We investigate the stabilization of the rotational motion of a rigid body, clamped at one of its points, using internal movable point masses. A new stabilizing system utilizing three masses in circular channels is introduced. The body is assumed to incorporate special devices which can create internal control forces on the masses. The equations of motion are deduced for a rigid body carries number of point masses. A connection is established with the corresponding problem of controlling rigid body dynamics with the help of external moments. Then, we show that a carried system with three degrees of freedom can stabilize the rigid body dynamics with respect to the all of its phase coordinates. The deduced equations are specialized later to describe the motion of a rigid body carries three point masses in two special cases. The first special case is concerned with three masses moving along rectilinear channels. The second special case considers a rigid body to which the new stabilizing system is attached. The new stabilizing system is used to stabilize equilibrium positions and permanent rotations of the body. Two cases are considered: in the first case, we consider a rigid body with a welldefined mass distribution. In the second case, the body distribution of mass is assumed to be unknown. In all cases, the obtained results are applied to a small satellite. The controlled motion of the satellite is simulated numerically. |