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带几何缺陷拱顶罐球壳的稳定性分析 Title:StabilityAnalysisofGeodesicDomeStructureswithGeometricDefects Introduction: Geodesicdomeshavegainedpopularityinarchitecturaldesignduetotheiruniquestructuralefficiencyandaestheticappeal.However,thepresenceofgeometricdefectsintheformofirregularitiesorflawscancompromisethestabilityandperformanceofsuchdomestructures.Thispaperaimstoanalyzethestabilityofgeodesicdomeswithgeometricdefects,specificallyfocusingonarch-shapedsphericalshells. 1.GeometricDefectsinGeodesicDomeStructures: Geometricdefectsrefertothedeviationsorirregularitiesfromtheidealizedgeometricformofadomestructure.Thesedefectscanariseduringtheconstructionprocessorduetoaging,environmentalfactors,orinherentdesignflaws.Commongeometricdefectsincludeunevennessinstrutlengths,misalignedjoints,excessiveorinsufficientstruttension,deformationsintriangularpanels,orimperfectionsincurvature. 2.StructuralStabilityAnalysis: 2.1Load-BearingCapacity: Theload-bearingcapacityofageodesicdomewithgeometricdefectsisacriticalaspecttoassessitsstability.Variousfactors,suchasdeadloads(self-weightofthestructure)andliveloads(wind,snow,etc.),needtobeconsidered.Finiteelementanalysis(FEA)canbeemployedtosimulatethestructure'sbehaviorunderdifferentloadconditions,evaluatingstressdistributionandpotentialfailurepoints. 2.2BucklingAnalysis: Buckling,astabilityissueinwhichthestructuresuddenlybucklesorcollapsesundercompressiveloads,isaconcernforgeodesicdomeswithgeometricdefects.Analyzingthecriticalloadatwhichbucklingoccurscanhelpidentifydefectsthatcontributetoreducedload-carryingcapacity.Differentbucklingmodes,suchasEuler,Lateral-Torsional,orGlobal,shouldbeinvestigatedtounderstandthebehaviorofthestructureinthepresenceofgeometricdefects. 2.3DeformationandDisplacementAnalysis: Deformationanddisplacementanalysishelpsevaluatethestructuralintegrityandstabilityofageodesicdomewithgeometricdefects.UsingnumericalmethodslikeFEA,itispossibletoassesstheeffectofgeometricdefectsontheoveralldeformationanddisplacementofthestructure.Excessivede