题名

Study on the Optimal Working Paraboloid of FAST based on Reflector Adjustment

DOI

10.6919/ICJE.202205_8(5).0040

作者

Xinlin Leng

关键词

Iterative Search ; Single Objective Optimization ; Discretization

期刊名称

International Core Journal of Engineering

卷期/出版年月

8卷5期(2022 / 05 / 01)

页次

320 - 326

内容语文

英文

中文摘要

FAST is the world's largest radio telescope, which is of very high value in many fields and has now officially become one of the fifteen major projects of the Knowledge Innovation Project of the Chinese Academy of Sciences. However, to complete the astronomical observation, it is necessary to realize the accurate and reasonable control of the deformation process of the whole network of FAST active reflecting surface, which depends on the determination and realization of the ideal working paraboloid. To explore the mathematical model of the FAST radio telescope in some special cases, we set up the following cases: When the object to be observed is located at α = 0°, β = 90° (α is azimuthal angle, β is elevation angle), we give a preliminary ideal paraboloid model based on the focal position and geometric relations. Subject to the radial expansion range of ±0.6m of the actuator, we calculate that to fit this paraboloid, there will be a part of the actuator expansion larger than 0.6m, even up to 0.6944m, which is beyond the range limit. Therefore, we consider the actual situation and condition constraints, take a very small step in MATLAB to traverse the two parameters of the paraboloid equation - f and h (f is the focal diameter ratio, h is the Z-axis intercept), and select the parameter value corresponding to the smallest actuator expansion and contraction, to obtain the actual fit of the ideal paraboloid model, the equation is: z = x^2+y^2/542.4 - 300.37. Finally, we analyze the model errors and strengths and weaknesses, evaluate them, and give corresponding improvement solutions for the weaknesses, and discuss the applicability of the model.

主题分类 工程學 > 工程學綜合
参考文献
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