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CST气动外形参数化方法研究 Title:ResearchonParameterizedMethodsofCSTAerodynamicShape Abstract: Thefieldofaerodynamicsplaysacrucialroleinthedesignanddevelopmentofaircraft.Inrecentyears,thedemandforefficientandmoreadvancedaircrafthasincreased,leadingtotherequirementforinnovativemethodstooptimizeaerodynamicshapes.ThispaperfocusesontheresearchofparametricmethodsforCST(classicalthinairfoiltheory)aerodynamicshape. Introduction: Aerodynamicshapeoptimizationisakeyfactorinachievingimprovedaircraftperformance.Theclassicalthinairfoiltheory(CST)iswidelyusedinaerodynamicsduetoitssimplicityandaccuracy.However,theconventionaluseofCSTrequiresextensivemanualanalysisandextensivetrial-and-errorprocedures.ParameterizingtheCSTmethodcaneffectivelyaddresstheselimitations,enablingfasterandmoreefficientdesigniterations. Methods: 1.CSTOverview: Theclassicalthinairfoiltheoryintroducesasimplifiedapproachtoanalyzeaerodynamiccharacteristics.Itassumesthattheairfoilisthin,camberedsymmetricallyorasymmetrically,andthattheflowispotentialandbothincompressibleandirrotational.Themathematicalmodelincludesthecirculationdistribution,liftcoefficient,pitchingmoment,anddragcoefficient. 2.ParameterizationTechniques: VariousparameterizationtechniquescanbeusedtorepresenttheCSTairfoilshape,suchasBeziercurves,B-splines,andNURBS.Thesetechniquesallowforthemanipulationofcontrolpoints,whichdefinetheshapeoftheairfoil,andenablethecreationofalargenumberofdifferentshapes. 3.OptimizationAlgorithms: Tooptimizetheaerodynamicshape,severalmethodscanbeemployed,includinggeneticalgorithms,surrogate-basedoptimization,andparticleswarmoptimization.Thesealgorithmsperformiterativecalculations,updatingtheparameterstominimizetheobjectivefunction,suchasdragcoefficientorlift-to-dragratio. ResultsandDiscussion: TheapplicationofparameterizedCSTmethodsforaerodynamicshapeoptimizationhasshownpromisingresults.Byusingdifferentparametercombinations,researchershavebeenabletoachievesignificantimprovementsinaircraftperformance.Theoptimizationprocesshasbeenaccel