以表面精度和基频为目标的可展开天线索网结构的优化设计

Optimization for a Deployable Spaceborne Antenna Cablenet Structure with Goals of Surface Accuracy and Natural Frequency

对太空可展开天线索网结构中表面精度和基频的优化问题进行了研究,建立了索网的有限元分析模型,并用非线性有限元法对其进行了求解。以索网的上下弦索及中间调整索的直径为设计变量,上弦索的表面精度和结构的基频为目标函数,建立了天线单片辐射索网的多目标优化数学模型。采用序列二次规划法对模型进行了优化求解,得到了不同权重值时的多目标优化解集。由优化结果可知:以上弦索网的表面精度为目标函数之一,可使得优化后的索单元截面积有上下非对称的特点,不同位置索单元的截面积也有着特定的分布。

The sequential quadratic programming method was used for the cablenet structure of a deployable spaceborne antenna optimization. Nonlinear finite element method was used to solve the FEM analysis model of the cablenet,and the optimization model was built with the diameter of cables as design variables,surface accuracy of the upper chord cables and natural frequency of the cablenet as objective functions. Sequential quadratic programming method was used, and optimal Pareto set with different weight values were obtained. Because one of the objective function is the surface accuracy of the upper--chord cables, the cross sectional areas of the cables have a non symmetrical distribution,and it is in accord with a characteristic law.