考虑桁架变形的可展开天线索网结构多目标优化设计  

Multi-objective Optimization Design of Cable Net Structure for Deployable Antenna Considering Truss Deformation

作　　者：杜雪林 杜敬利[1] 保宏[1] 倪崇[2] 王飞杰 廉荫虎 DU Xuelin;DU Jingli;BAO Hong;NI Chong;WANG Feijie;LIAN Yinhu(The Ministry of Education,Key Laboratory of Electronic Equipment Structure Design,Xidian University,Xi′an 710071;Beijing Institute of Spacecraft System Engineering,Beijing 100094)

机构地区：[1]西安电子科技大学电子装备结构设计教育部重点实验室,西安710071 [2]北京空间飞行器总体设计部,北京100094

出　　处：《机械科学与技术》2021年第6期963-968,共6页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51675398,51775401)。

摘　　要：索网结构是可展开天线的重要组成部分,在桁架的支撑下,索网结构的前/后索网和竖向索阵处于张紧状态,形成满足精度要求的工作反射面。本文提出了一种可以考虑桁架变形的索网形态设计方法。首先,基于索网结构的平衡矩阵奇异值分解,约束索段张力并以索力均匀为目标,通过优化求解找到一组最优预张力。将索网挂接在桁架上,以索段的预张力和前索网节点的位置增量为设计变量,以直接与桁架连接索段的张力改变量的均方根值,索段预张力均匀性和反射面形面精度为目标,约束索段张力和节点位置增量的取值范围,建立了索网结构多目标优化模型。最后通过相应算例,验证了方法的正确性。The cable net structure is an important part of the deployable antenna,under the support of the truss,its front/rear cable net and vertical cable array are in a tension state,forming a working reflective surface that meets the required precision.In this paper,a design method of cable net considering the deformation of truss is presented.First,based on the singular value decomposition of equilibrium matrix of cable net structure,the tension of cable segment is constrained and the uniformity of cable force is taken as the objective,and a set of optimal tension is found by optimizing solution.Then,the cable net is connected to the truss,the multi-objective optimization model of cable net structure is established by taking the tension and the node position increment as design variables,and taking the root mean square of the tension change of the cable segment directly connected to the truss,the uniformity of the tension and the accuracy of the reflector surface as the objectives,and also constraining the range of the cable segment tension and the node position increment.The method presented is programmed for a corresponding example at last,and the results indicate that the method is feasible.

关 键 词：可展开天线 桁架变形 索网 多目标优化 

分 类 号：V443[航空宇航科学与技术—飞行器设计]