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运用最小二乘法与拉格朗日乘子法,确定初始圆弧并进行适当的圆弧修正,实现了构架式可展天线背架球面圆弧的确定方法.根据天线的实际工作需求与结构特点,提出了构架式可展天线背架位置应满足的条件;通过确定初始圆弧和圆弧修正两个步骤,推导了确定圆弧位置的计算公式;基于Matlab数值计算软件,编程实现可展天线背架球面圆弧的确定方法.数值算例表明,采用本文方法可以得到满足实际工作需求的构架式可展开天线背架球面圆弧.
The least squares method and Lagrange multiplier method are used to determine the initial arc and correct the circular arc, so as to realize the determination of the spherical arc of the scaffolding antenna.According to the actual working requirements and structural features of the antenna , Put forward the condition that the position of backrest of frame-type extendable antenna should be satisfied. The formula of determining the position of circular arc is deduced by determining the initial steps of circular arc and circular arc correction. Based on Matlab numerical calculation software, The method of determining the back arc of the spherical arc of the back frame.The numerical example shows that the arc of the backspan of the backspan of the antenna can be obtained by the method proposed in this paper.