Cosserat Dynamic Modeling and Simulation of Mobile Cable on Satellite

Abstract

Mainly for the problems that the configuration of the mobile cable on the satellite is very easy to change, the motion trajectory and dynamic characteristics of the cable can not be accurately predicted, which affects the laying quality seriously, the dynamic modeling and simulation of mobile cable on the satellite are carried out. On the basis of referring to the previous papers, the existing mathematical model is improved. The equations of the base vector of the cable section principal axis coordinate system with respect to the arc coordinate s, the distribution force of cable balance equation, the matrix expression of the base vector after the rotation motion transformation in the section principal axis coordinate system, the angular velocity of cable, the section elastic strain and velocity calculation equations are given, and the Cosserat dynamic modeling of the mobile cable is established. Finally, the dynamic simulation model of the mobile cable assembly of the kinematic mechanism is established, and the changes of the force and torque on the cable constraint end are obtained, which provides a reference for the dynamic modeling and simulation of the mobile cable on satellite.

Keywords

flexible cable / large deformation / curve geometry / Cosserat modeling / computer simulation