Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors
Review of Root-Mean-Square Error Calculation Methods for Large Deployable Mesh Reflectors
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DOI：
10.1155/2022/5352146
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发表时间：
2022-08
影响因子：
1.4
通讯作者：
S. Yuan
中科院分区：
文献类型：
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作者：
S. Yuan
在大型可展开网状反射器的设计中，高表面精度是最终目标之一，因为它直接决定了反射器的整体性能。因此，在大型可展开网状反射器的设计和分析的许多情况下，需要评估表面精度。表面精度通常指定为均方根误差，它测量网格几何形状与所需工作表面的偏差。本文综述了大型可展开网状反射器均方根误差的计算方法。提出了反射器增益的概念，它描述了反射器的性能及其与均方根误差的关系。展示了大型可展开网状反射器初步设计中预测或估计均方根误差的方法。提出了大型可展开网状反射器均方根误差的三种计算方法，即节点偏差均方根误差、最佳拟合表面均方根误差和直接均方根误差。引入有效区域的概念。当涉及有效区域的概念时，建议对均方根误差的计算进行调整。最后，将这些回顾的均方根误差计算方法应用于二面网格几何形状、中心馈送网格反射器和偏移馈送网格反射器的表面精度评估，以进行演示和比较。
In the design of a large deployable mesh reflector, high surface accuracy is one of ultimate goals since it directly determines overall performance of the reflector. Therefore, evaluation of surface accuracy is needed in many cases of design and analysis of large deployable mesh reflectors. The surface accuracy is usually specified as root-mean-square error, which measures deviation of a mesh geometry from a desired working surface. In this paper, methods of root-mean-square error calculation for large deployable mesh reflectors are reviewed. Concept of reflector gain, which describes reflector performance, and its relationship with the root-mean-square error is presented. Approaches to prediction or estimation of root-mean-square error in preliminary design of a large deployable mesh reflector are shown. Three methods of root-mean-square error calculation for large deployable mesh reflectors, namely, the nodal deviation root-mean-square error, the best-fit surface root-mean-square error, and the direct root-mean-square error, are presented. Concept of effective region is introduced. An adjusted calculation of root-mean-square error is suggested when the concept of effective region is involved. Finally, these reviewed methods of root-mean-square error calculation are applied to surface accuracy evaluation of a two-facet mesh geometry, a center-feed mesh reflector, and an offset-feed mesh reflector for demonstration and comparison.