复杂形状轮廓的几何形状误差评定方法分析

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1、中南大学硕士学位论文【。。。。。。。。。’。‘。。。。。。。。。。’1。。。。。。。‘。。’。。。’’。。。。。。’’。。’-‘ABSTRACTABSTRACTFormerrormakesgreateffecttOthequalityofpieceparts，itisdifficulttoevaluatetheerrorofcomplexcurveandsurface，theresearchontheformerrorevaluationofthecomplexCurveandsurfacehasimporta

2、nttheorysignificanceandeconomicvalue．Inthisarticle，theformerrorisstudiedbasedonmatlabandcalculatingexampleispresented．Themainresearchisasfollows．1、Themathematicalmodelincludestraightnesserror,flatnesserror,Circularityerror,cylindricityerror,sphereerror,taper

3、errorarestudied，theoptimizationalgorithmsbasedonmatlabisusedtocalculateformerror,theerrorevaluationispresentedindetailinthispaper．2、Accordingtominimalzonelaw,themathematicalmodelofcomplexcurveprofileerrorevaluationiScreated．themathematicalmodeloftheoreticalc

4、urveisconstructedwithNURBSbyinterpolatingdesignpoints，thesubdivisionapproximatingalgorithmistakenforfastcalculatingtheminimumdistancebetweenmeasurepointsandtheoreticalprofilecurve，thepositionbetweenthemeasurepointsandthetheoreticalprofileismatchedthroughcoor

5、dinatetransformtoavoidtheevaluationerrorderivedfrompositionerror,theerrorevaluationoflineprofileiSpresentedindetailinthisPaper．3、Accordingtominimalzonelaw9themathematicalmodelofcomplexsurfaceprofileerrorevaluationiScreated。Themathematicalmodeloftheoreticalsu

6、rfaceiSconstructedwithNUImSbyinterpolatingdesignpoints，thesubdivisionapproximatingalgorithmistakenforfastcalculatingtheminimumdistancebetweenmeasurepointsandtheoreticalsurface．也epositionbetweenthemeasurepointsandthetheoreticalprofileiSmatchedthroughcoordinat

7、etransformtoavoidtheevaluationerrorderivedfrompositionerror,theBFGSalgorithmistakenforcalculatingnonlinearoptimization．TheerrorevaluationofsurfaceprofileispresentedindetailinthisPapeL4、AnewerrorevaluationsoftwarebasedontheoptimizationtoolboxesofNLATLABispres

8、entedtovalidatethemethodofformevaluation．TheexperimentresultsshowtheproposedmethodcanrapidlyⅡ中南大学硕士学位论文ABSTRACTacquireabetterresult．KEYWORDSformerror,minimumcondition，optimizationalgorithms，matl