涡轮机械系统参数化三维叶片几何建模工具.pptx

涡轮机械系统参数化三维叶片几何建模工具.pptx

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,Parametric3DBladeGeometryModelingToolforTurbomachinerySystems,KiranSiddappaji05/10/2012SchoolofAerospaceSystemsCommitteeChair:

Dr.MarkG.TurnerCommittee:

Dr.PaulD.OrkwisDr.ShaabanAbdallah,Overview,Motivation3DBGBProcessFlowchartInputParameterization3DBladeGeneratorGoverningEquationsBladesectionconstructionStreamwisemappingofbladesectionsSweepandLeanRadialstackingof3DbladesectionsCoordinatetransformation3DbladeloftingandCADconnectionExamplecasesConclusionandFutureWorkFlexibilityDemonstration,Motivation,Bladedesigndefinescomponentperformance.Iterative,hencerequiresquickerandrobustprocess.Aparametricapproachisdesired.DesigntoolwithlimitedCADinteraction.DesignFlexibilityandGeneralityaredesiredwithminimalinputmodifications.Mustbeapplicabletolargedesignspace.,Optiontobepartofanyautomationandoptimizationchain.,TheGENXEngine.1,3DBGB,3DBGB（3DimensionalBladeGeometryBuilder）isaparametricbladedesigntool.3Dbladesectionsarecreatedusingconformalmapping.Bladesectionscanberadiallystackedatanyspecifiedlocationtoobtaina3Dblademodel.Parametricsplineupdatemakesthegeometrymodificationprocessquicker.LimitedCADinteractiontoobtainnewerbladeshapes.,ProcessFlowchart,InputParameterization,Relativeflowanglesatleadingedgeandtrailingedgeoftheblade.Thicknesstochordratio,Axialchordvalues.Relativeinletmachnumber.Incidence,DeviationandSecondaryflowangles.LeadingandTrailingEdgecurves（x,r）.Controlpointsdefiningleanandsweepperturbationsandanyotherquantity.Stackingoption.StreamlinecoordinatesfromanaxisymmetricrunlikeT-Axi2orsmoothconstructioncurves.,10stageHPCrotor1,10stageHPCrotor3,TIPVIEW,HUBVIEW,TIPVIEW,HUBVIEW,GoverningEquations,:

BladeSectionConstruction,Rotor1of10stageHPC,Non-dimensionalchordwisecoordinate:

uNon-dimensionalcoordinateperpendiculartou:

v,Inputs:

BlademetalanglesThicknesstochordratioMeridionalchord,*in*,out,=BlademetalangleatLeadingEdge=BlademetalangleatTrailingEdge,=RelativeflowangleatLeadingEdge,inout=RelativeflowangleatTrailingEdge=StaggerAngle,i=IncidenceAngle,ininin,=-*when*0,in,=*-when*0,inin=DeviationAngle,=*-（camber0）outout=out-*（camber0）out,CamberlineDefinitionandPlots,CamberLineplot,CamberAngleplot,Curvatureplot,Rotor1of10stageHPC,Staggeredandscaledairfoilcoordinates,Arrayubconsistsofubbotandubtop.Arrayvbconsistsofvbbotandvbtop.Thevaluesarestoredinacounterclockwisemannerstartingfromthetrailingedge.Nondimensionalleadingedgeis（0,0）.Nondimensionaltrailingedgeis（1,0）forconvenience.Also,thkisthethicknessdefinitiongivenbyWennerstrom3.,（CoordinateRotation）,（CoordinateScaling）,（meridionalchord）,（actualchord）,Wennerstromthicknessdefinition3,Coefficientsathroughhcanbeobtainedwithproperboundaryconditions.AnellipticalLeadingEdgeandacircularTrailingedgeisused.Ellipticalleadingedgekeepstheflowattachedandlaminar4.,Varietyofairfoils,Capabilityofgeneratingdifferentairfoilshapesandhighlystaggeredairfoils.CurrentlycapableofNACA4digit,S809,circularandmixedcamber（default）.,LeadingandTrailingEdgecurves,Definedby2Dcubicsplinecurvesinx,r.Cubicsplineisusedtofitthestreamlinecoordinatesxs,rswithmsasthesplineparameter.Intersectionoftheabove2splinecurvesproducesxLE,rLEandxTE,rTEoneachcorrespondingstreamline（constructioncurve）.Usingthesepoints,msLE-theleadingedgemsvalueiscalculatedwhichiscrucialinstreamwisemappingofthebladesectionsasexplainedinthenextsection.,StreamwiseMappingoftheBladeSections,meridionaloffset:

Meridionaloffsetisnecessaryforpreciseconformationofthebladesectiononitscorrespondingstreamline.ThisisbecausethezeromsoneachstreamlineisdifferentfromthembLEoneachcorrespondingbladesection.,msLE=msvalueevaluatedatxLEonastreamline.mbLE=mbvalueattheLEoftheairfoil.,Similarly,StreamwiseCoordinateCalculation,x3D,r3Dand3Dcoordinatesarethuscalculated.,MappingoftheBladeSections,Mappingofthebladesectiononthecorrespondingstreamsurface.,Sweep,SpanwiseSweepPerturbation,PerturbationsaredefinedspanwiseusingfewcontrolpointsforacubicB-splinecurve.,CubicB-splineconstruction,5,Asimpleintersectionprocedureof2Dcurveandalinegivesthedesiredpointonthesmoothsplinecurve.,Lean,SpanwiseLeanPerturbation,PerturbationsaredefinedspanwiseusingfewcontrolpointsforacubicB-splinecurve.,Overview,Motivation3DBGBProcessFlowchartInputParameterization3DBladeGeneratorGoverningEquationsBladesectionConstructionStreamwiseMappingofbladesectionsSweepandLeanRadialStackingof3DbladesectionsCoordinateTransformation3DbladeloftingandCADconnectionExampleCasesConclusionandFutureWorkFlexibilityDemonstration,Radialstackingof3Dairfoi