第44卷第2期2023年2月哈尔滨工程大学学报JournalofHarbinEngineeringUniversityVol.44№.2Feb.2023不规则三杆张拉整体结构的找形刘贺平,黄文杰,宋健,赖潇亮,罗阿妮(哈尔滨工程大学机电工程学院,黑龙江哈尔滨150001)摘要:为了获得不规则形态的张拉整体结构,本文提出了一种确定稳定构型的思路,即基于规则张拉整体结构在大部分构件长度不变的条件下,在一定范围内改变其个别构件长度,稳定状态时这些构件的长度最小。通过规则张拉整体结构单元稳定条件分析、非规则三杆张拉整体结构的稳定构型分析、求解思路分析几个方面的研究,获得了具体的构型方法,并通过具体数值求解、仿真分析和搭建实物模型等手段对此方法的正确性进行了验证,证明此方法求得的结构稳态数值的精度较高。为张拉整体结构基于构件变化的找形及机构化分析提供了一种思路。关键词:张拉整体结构;线性迭代法;找形;节点矩阵;连接矩阵;平衡矩阵;稳定性;奇异值分解DOI:10.11990/jheu.202107015网络出版地址:https://kns.cnki.net/kcms/detail/23.1390.U.20221103.1809.008.html中图分类号:TH113文献标志码:A文章编号:1006-7043(2023)02-0276-08Form-findingofirregularthree-bartensegritystructuresLIUHeping,HUANGWenjie,SONGJian,LAIXiaoliang,LUOAni(CollegeofMechanicalandElectricalEngineering,HarbinEngineeringUniversity,Harbin150001,China)Abstract:Togetatensegritystructurewithirregularform,weproposeanewideatodeterminethestableconfigura-tion.Itisbasedonaregulartensegritystructure,undertheconditionthatmostofthemembers'lengthisun-changed,withthelengthoffewmemberschanginginacertainrangeandthelengthofthesemembersminimizedinthestablestate.Byanalysesofstabilityconditionsofregulartensegritystructureelements,stableconfigurationofirregularthree-bartensegritystructure,andsolutionideas,aspecificconfigurationmethodisobtained,andthecor-rectnessofthemethodisverifiedbynumericalsolution,simulationanalysisandbuildingarealmodel.Itisprovedthatthesteady-statevalueobtainedbythismethodhashigherprecision,providinganewideaforshapefindingandmechanismanalysisoftensegritystructuresbasedoncomponentchanges.Keywords:tensegritystructure;lineariterationmethod;form-finding;nodalmatrix;connectivitymatrix;equilibri-ummatrix;stabilit...
