Analysis of Nonlinear Vibration Behavior of the Spacecraft Cable with Coupling Constraints

Abstract

In order to avoid the problem that cables are divorced from constraints during spacecraft launching, rules of nonlinear vibration behavior of laying cables need to be analyzed, so the common restriction condition of cables inside the spacecraft is selected to study. Based on the inertial coordinate system of cables, force on the cable element is analyzed with elastic mechanics, and then the vibration model of cables with coupled constraints can be obtained. And then, with the application of boundary conditions, the vibration model of spacecraft cables with longitudinal load is obtained, and vibration ordinary differential equations of cable with longitudinal load are obtained by using the Galerkin method. Further, the vibration response of cable with one end effected by longitudinal disturbance is obtained along with the nonlinear vibration model of cables with coupling constraints calculated and analyzed by using the numerical method. The results show that mechanic properties and the reliability of work of cables can be improved by using local constraints on the laying path of spacecraft cables properly.