Research on FAST Working Mechanism Based on Vertex Optimization Model and Reflective Panel Adjustment Model

In order to meet the observation requirements of the FAST radio telescope for celestial bodies with different angles, on the premise of considering the constraints such as the adjustment range and deformation amplitude of the reflection panel, the expansion and contraction of the actuator is adjusted to control the main cable node to make the working paraboloid as close as possible to the ideal paraboloid. In order to determine the ideal paraboloid when the observation object S is above the reference sphere, by analyzing the working mechanism of the reflection panel, a vertex optimization model is established with the optimal value of paraboloid vertex offset has the objective and the radial adjustment range of the actuator as the constraint. When modelling, it is the key to judge whether the displacement direction of the actuator and the lower cable is collinear, which can make the expansion and contraction of the main cable node more realistic and more accurate than that obtained in collinear condition. Next, a reflection panel adjustment model is established to solve the expansion and contraction of the actuator, and the reflection panel is adjusted to be close to the ideal paraboloid. Then, a telescopic optimization model is established, which aims at the optimal expansion d of the main cable node. It also takes the change range of the distance between adjacent nodes before and after adjusting the main cable node as the constraint condition.