Three-Dimensional Dynamics of Tethered Multibody Systems with Friction and Impact.

Abstract

:In this paper, the dynamics of tether winding target is analyzed. This problem is not peculiar to capture of an uncontrolled satellite with tether. It contains the common technology to casting the tether in order to moor the floating object in space, or to operating tether in the ground. This paper presents three-dimensional model of a tether and a target. The tether is divided into concentrated masses in order to consider the tether motion. The target is regarded as a prism. In formulation of the system, the friction and the normal reaction between the target and the concentrated mass is defined as contact force. And the impulse equations applied to the case that more than two concentrated masses collide with the target in the same time, is derived. In numerical simulations, the verification of this model is presented by the comparison with fundamental two-dimensional model of a tether and a target, and three-dimensional winding motions, the sideslip and the gyro effect, are shown.