自由曲面测量点的布点策略与布点指标分析

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1、万方数据AbstractDistributionofmeasurementpointsisoneoftheimportantstepsforfreeformsurfacemachiningqualitytesting．111emethoditusediscalleddistributionstrategy．Especially，theguidingfactoramongdistributioniscalleddistributionindicator．Itisabasicfeatureofacurve．Usuall

2、y，weusemeasurememmethoderrortoevaluatetheprosandconsofadistributionstrategyoradistributionindicator．Measurememmethoderrormeans，onatheoreticalcurve，anumberofmeasuremempointswereselectedtointerpolationwithcubicsplinecurve．thatthedeviationoftheinterpolationofcurv

3、eandtheoriginaltheoreticalCHIVe．T11ispaperresearchedondistributionstrategyanddistributionindicator．Indistributionstrategy，firstofall，tworequirementsofdistributionstrategywereputforward．Thatis，beingadaptivetodistributionindicatorandkeepingspacingbetweenpoints．A

4、newclassofdistributionstrategieswithcontrollablecurvatureadaptabilitywereproposedaccordingly，whichiscalledequalmomemmethods．Itreferstothat，inacurvesegmentcomposedofanyadjacentthreepoints，itsleftpartanditsrightparthaveallequalmassmomemtotheintermediatepoint．The

5、higherordertheequalmomentmethodhas，theloweritscurvatureadaptabilityis．Finally，throughtwoexamples，therelationshipbetweencurvatureadaptabilityandmeasurementmethoderrorWasanalyzed．111ebestcurvatureadaptabilitywhitaminimummeasurementmethoderrorWascalculated．Indist

6、ributionindicator，throughthestudyofarclengthandcurvaturethetwoexistingdistributionindicators，theirtwopointsofdeficiencyinusingcubicsplinecurveasthemeasuringinterpolationcurvewereanalyzed．Thatismeasuremempointwastefulnessandmeasurementpointinaccuracy．Inaddition

7、，twofeaturesadistributionindicatorshouldpossesswereputforward．Thatis，1)satisfyingthegeometricinvariance；2、nolackofvalue．Thenaccordingtothemathematicalcharacteristiesofcubicsplinecurve，thispaperproposesanindicatorbasedoncubicspline，andcallitcubicsplinerate．Andt

8、henthroughcubicsplinerate，asimulationexperimentaimingattofindoutpiecewisepointsofcubicsplinecurvewasconducted．andidealresultshavebeenachieved．Thenthroughanumericalexample，comparedr