Academic Journal of Computing & Information Science, 2021, 4(8); doi: 10.25236/AJCIS.2021.040813.
Zhiyuan Liu
School of Electronic and Electrical Engineering, Tiangong University, Tianjin, 300000, China
Firstly, this paper establishes a single objective optimization model with the goal of minimizing the area of parabola and arc in the lighting area. The parameters are traversed and solved within a reasonable range to obtain the equation of paraboloid. Then, using the method of coordinate system transformation, a single objective optimization model is established to minimize the distance from the adjusted main cable node to the ideal paraboloid. The shortest radial distance from the adjusted main cable node to the ideal paraboloid is taken as the objective function, and the expansion amount of the actuator and the position of the adjusted main cable node are taken as the decision variables to traverse each main cable node. Finally, the obtained ideal paraboloid, its vertex coordinates and the final position of the main cable node are inversely transformed by the above coordinate transformation to obtain the equation of the ideal paraboloid when the azimuth of the celestial body is 36.795 ° and the elevation is 78.169°, and the vertex coordinates are (- 49.3841, - 36.9373, - 294.4002).
FAST, single objective optimization, Spatial coordinate system transformation, Dimension reduction method
Zhiyuan Liu. Optimal Design of FAST Paraboloid Deformation Strategy Based on Single Objective Optimization. Academic Journal of Computing & Information Science (2021), Vol. 4, Issue 8: 67-72. https://doi.org/10.25236/AJCIS.2021.040813.
[1] Zhu Lichun. FAST main reflector automatic control system [J]. Science, technology and engineering, 2006 (13): 1890-1894.
[2] Du Jingli, Bao Hong, Yang Dongwu, Cui Chuanzhen. Study on shape accuracy adjustment of cable net active reflector [J]. Engineering mechanics, 2012, 29(03): 212-217.
[3] Zhu Lichun, Zhang Zhiwei. Analysis of deformation measurement and control scheme of FAST active reflector [J]. Industrial metrology, 2010, 20(06): 7-9.
[4] Xue Jianxing, Wang Qiming, Gu Xuedong, Zhao Qing, Gan hengqian. Estimation and improvement of instantaneous paraboloid fitting accuracy of 500m aperture spherical radio telescope [J]. Optical precision engineering, 2015, 23(07): 2051-2059.
[5] Zhu Lichun. Deformation control of active reflector network of 500m aperture spherical radio telescope (FAST) [J]. Scientific research information technology and application, 2012, 3(04): 67-75.