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中文摘要：
根据大射电望远镜索网主动反射面的变形调整要求，提出了基于最小二乘优化模型的迭代调整方法。优化模型以节点载荷增量为设计变量，追求调整后的节点位置相对于设计抛物面的残量平方和最小。线性化残量函数便可得到调整所需产生的位移场。采用基于弹性悬链线解析表达式的悬索单元建立了索网反射面的力学模型，得到了节点载荷增量与节点位移之间的关系；从而可以根据给定的变形场得到对应的调整力增量。数值算例表明所给调整方法具有很好的收敛速度。
英文摘要：
An iteration approach, based on least squares optimization, for shape accuracy adjustment of the active cable-mesh reflector in large radio telescope is presented according to the demands of the reflector deformation. The optimization model regarding nodal force increment as design variable is established to minimize the sum of residual squares of node position relative to the design paraboloid. The displacement field to deform the reflector can be obtained by linearizing the residual function. Static analytical model is established with cable element deduced on the expression of elastic catenary of a cable, so the nodal force increment corresponding to a certain displacement field can be solved. The numerical example shows that the method proposed possesses a rapid convergence rate.
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