Generalized Equations for Estimating Stress Concentration Factors of Various Notch Flexure Hinges

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1、GeneralizedEquationsforEstimatingStressConcentrationFactors1GuiminChenSchoolofElectro-MechanicalEngineering,ofVariousNotchFlexureXidianUniversity,Xi’an,Shaanxi710071,Chinae-mail:guimin.chen@gmail.comHingesJialuWangTheflexurehingesarethemostvulnerablepartsi

2、naflexure-basedmechanismduetoSchoolofElectro-MechanicalEngineering,theirsmallerdimensionsandstressconcentrationcharacteristics,thereforeevaluatingXidianUniversity,themaximumstressesgeneratedinthemiscrucialforassessingtheworkspaceandtheXi’an,Shaanxi710071,C

3、hinafatiguelifeofthemechanism.Stressconcentrationfactorscharacterizethestressconcen-trationsinflexurehinges,providingananalyticalandefficientwaytoevaluatetheXiaoyuanLiumaximumstress.Inthiswork,byusingtheratiooftheradiusofcurvatureofthestress-SchoolofElectro

4、-MechanicalEngineering,concentratingfeaturetotheminimumthicknessastheonlyfittingvariable,generalizedXidianUniversity,equationsforboththebendingandtensionstressconcentrationfactorswereobtainedforXi’an,Shaanxi710071,Chinatwogeneralizedmodels,theconicmodeland

5、theelliptic-arc-filletmodel,throughfittingthefiniteelementresults.Theequationsareapplicabletocommonlyusedflexurehingesincludingcircular,elliptic,parabolic,hyperbolic,andvariouscorner-filletflexurehinges,withacceptableerrors.Theempiricalequationsaretractableande

6、asytobeemployedinthedesignandoptimizationofflexure-basedmechanisms.Thecasestudiesofthebridge-typedisplacementamplifiersdemonstratedtheeffectivenessofthegeneral-izedequationsforpredictingthemaximumstressesinflexure-basedmechanisms.[DOI:10.1115/1.4026265]1Intr

7、oductionthisresearchistodevelopempiricalequationsforthestresscon-centrationfactorsofcommonlyusedflexurehinges.CompliantmechanismsthatutilizenotchflexurehingesastheirInourpreviouswork[15,16],twogeneralizedmodels(i.e.,thekinematicpairs(flexure-basedmechanismsf

8、orshort)havebeenconicmodelandtheelliptical-arc-filletmodel)forvariousflexurewidelyusedinapplicationswherehighprecisionisrequiredhingeswereproposed,whichsimplifyflexurehingedesignbywithinrelativelysmallworkspaces,e.g.,s