Author(s)

Jifeng Zhao ¹, Tian Liang ², Yan Gao ³

Affiliation(s)

¹ Department of Environmental and Safety Engineering, Qingdao University of Science & Technology, Qingdao 266042, China
² Department of Chemical Engineering Institute, Qingdao University of Science & Technology, Qingdao 266042, China
³ Department of Chemistry and Molecular Engineering, Qingdao University of Science & Technology, Qingdao 266042, China

Corresponding Author

Jifeng Zhao

ABSTRACT

In this paper, we investigate the shape adjustment problem of "FAST" active reflectors. Specifically, taking the reference sphere center C as the coordinate origin, establishing a space rectangular coordinate system, establishing a single-objective optimization model, and using the A* algorithm to solve it through Matlab. Secondly, through the coordinate rotation transformation, the rotated working paraboloid is obtained, and a plane is determined by using the intersection of the projection parabola and the projection of the reference spherical surface and the direction of the plane normal vector, and by traversing all nodes, finding out that each node is below this plane. The position coordinates of the nodes are obtained, and the number of the main cable node and the expansion and contraction amount of each actuator are obtained. Finally, the paraboloid and the feed cabin are projected onto the yCz plane for analysis. According to the critical conditions of electromagnetic wave reflection, two critical reflection parabolas are determined, and the number of nodes that satisfy this slope range is searched through Matlab to obtain the receiving ratio of the feed cabin.

KEYWORDS

single-objective optimization model, A* algorithm

CITE THIS PAPER

Jifeng Zhao, Tian Liang, Yan Gao, Research on Shape Adjustment of "FAST" Active Reflector. Journal of Engineering Mechanics and Machinery (2022) Vol. 7: 59-66. DOI: http://dx.doi.org/10.23977/jemm.2022.070208.

REFERENCES

[1] Lu Yingjie, Ren Gexue. Simulation of the overall deformation of the cable-net reflector for large radio telescope FAST [D]. Department of Engineering Mechanics, Tsinghua University, 2007.
[2] Yang Dongwu, You Guoqiang, Bao Hong. Optimal profile design method of parabolic cable-net antenna[D]. School of Mechanical and Electrical Engineering, Xidian University, 2011.
[3] Hu Jiande. Illumination calculation of parabolic reflection [D]. School of Mathematics and Computer Science, Minzu University of China, 2008.
[4] Wang Wenzhi. Rotation transformation of space coordinates and its application [J]. Exam (Teaching and Research Edition), 2006, 24-25.
[5] Jiang Peng, Wang Qiming, Zhao Qing. Optimization analysis and design of cable-net structure for giant radio telescopes [J]. Engineering Mechanics, 2013, 30(02): 400-405.

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