Morphological Adjustments on Cable-Net Supporting the Reflector Panels of FAST Based on Rotation Axis Matrices and Geodesic Tracing Algorithm

Abstract

The key of FAST active reflection panel cable-net adjustment technology is to regulate the reflection sphere to the working paraboloid. The principle is to realize the position change by stretching the pull-down cable's control node through the actuator. In this paper, based on the rotation axis transformation equation of the working paraboloid in the ground state, combined with the constraint conditions of actuator expansion, the geodesic tracing algorithm was used to map the geodesic nodes of the spatial cable-net quickly and efficiently. Through numerical verification of 2336 cable points from area A-E, the model quickly and stably adjusts the cable-net layout according to different star observation angles, so that the working face approaches to the standard paraboloid, and the optimal layout scheme of the cable-net displacement pulling of the active reflective surface of FAST can be obtained under any observation angle.