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1、AppliedMathematicalModellingxxx(2013)xxx–xxxContentslistsavailableatSciVerseScienceDirectAppliedMathematicalModellingjournalhomepage:www.elsevier.com/locate/apmAnewdesignconceptformillingtoolsofsphericalsurfacesobtainedbykinematicgenerationaa,b,⇑bC.Neagu,M.Lupeanu,A.RennieaDepartmentofManufacturi
2、ngTechnology,POLITEHNICAUniversityofBucharest,313SplaiulIndependentei,Bucharest77206,RomaniabLancasterProductDevelopmentUnit,EngineeringDepartment,LancasterUniversity,LancashireLA14YR,UnitedKingdomarticleinfoabstractArticlehistory:Inthispaper,theauthorsshowanoriginalmethodologyforoptimizationofto
3、olgeometryReceived14September2011usedinthemillingofsphericalsurfaces.Thismethodologyisbasedonthoroughtheoret-Receivedinrevisedform12November2012icalresearch,whichhighlightsthekinematiccharacteristicsofsphericalsurfacegenerationAccepted21December2012bymilling.Thesecharacteristicsleadtotheconclusio
4、nthattheconstructiveanglesoftoolsAvailableonlinexxxxusedinsphericalsurfacemillingmusthavethesamevaluesonbothcuttingedges.Thepaperalsopresentsapracticaldesignmethodologyofthesetools,bothforexteriorKeywords:sphericalmilling,andforinteriorsphericalmilling.SphericalmillingThetheoreticalresearchwasval
5、idatedbymanufacturingphysicaltoolsusedinprocess-ProcessingkinematicsToolgeometryingsphericaljointsfrom330MWturbines,aswellasinprocessingofspheretapsusedinDesignmethodologyoptimizationthepetrochemicalindustry.Ó2012ElsevierInc.Allrightsreserved.1.IntroductionNowadays,partswithsphericalsurfaceshavea
6、widerangeofuseinmanufacturing,installationsandappliances.Inaddi-tiontosectorsthatarenowconsideredwellestablished,suchasautomotivemanufacture,specialistagriculturalvehiclesandmachinery,mining,petrochemicalequipment,liftingandtransportingmachines,sphericalsurfacepartsarebecomingincreasinglymorepert
7、inentincurrentandemergingindustry-leadingtechnologiesandapplications.Amongsttheseare,forexample,largesteam-poweredturbines,highprecisionmachiningtools,machinesandrobotsforaerospaceengineering,humanhipimplantsandkneepro
