第39卷第1期2023年2月Electro-MechanicalEngineering·专家论坛·DOI:10.19659/j.issn.1008–5300.2023.01.003大变形条件下的预应力索桁架天线结构优化设计*朱继宏，李祥吉，王杰，张卫红（西北工业大学航宇材料结构一体化设计与增材制造装备技术国际联合研究中心，陕西西安710072）摘要：传统预应力索桁架天线结构设计往往依赖于经验设计和非梯度方法。为了提高该类结构的优化设计效率，文中提出了一种大变形条件下的预应力索桁架结构拓扑优化方法。该方法以一种预应力修正下的柔顺度指标作为目标函数，以质量分数和强度作为优化约束，通过归一化方法获得连续的设计变量，实现对索桁架结构的拓扑构型、组件尺寸和预应力数值的整体优化设计。目标函数的灵敏度信息可完全通过解析方法获得。数值计算结果表明，该方法对大变形条件下天线单一工况和多工况预应力索桁架优化设计都具有较好的适用性。关键词：索桁架天线结构；拓扑优化；预应力设计；几何非线性中图分类号：TN82文献标识码：A文章编号：1008–5300(2023)01–0021–06OptimizationDesignofPrestressedCable-trussAntennaStructureunderLargeDeformationConditionsZHUJihong,LIXiangji,WANGJie,ZHANGWeihong(StateIJRCenterofAerospaceDesignandAdditiveManufacturing,NorthwesternPolytechnicalUniversity,Xi’an710072,China)Abstract:Thetraditionaldesignofprestressedcable-trussantennastructureusedtodependontheempir-icaldesignandnon-gradientmethod.Inordertoimprovetheoptimizationdesignefficiencyofthiskindofstructure,atopologyoptimizationmethodfortheprestressedcable-trussstructureunderlargedeformationconditionsisproposedinthispaper.Thismethodtakesakindofcomplianceindexmodifiedbyprestressastheobjectivefunction,themassfractionandstrengthastheoptimizationconstraintsandobtainsthecontinuousdesignvariablesthroughthenormalizationmethod.Finally,theoveralloptimizationdesignforthetopologicalconfiguration,structuralsizeandprestressvalueofthecable-trussstructureisachieved.Thesensitivityinfor-mationoftheobjectivefunctioncanbeobtainedcompletelybytheanalyticalmethod.Thenumericalresultsshowthatthemethodhasgoodapplicabilitytotheoptimizationdesignofprestressedcable-trussantennaunderbothsingleandmultipleloadcasesunderlargede...
