简介:UE-Bézier(unifiedandextendedBézier)basisistheunifiedformofBézier-likebases,includingpolynomialBézierbasis,trigonometricpolynomialandhyperbolicpolynomialBézierbasis.SimilartotheoriginalBézier-likebases,UE-Bézierbasisfunctionsarenotorthogonal.Inthispaper,agroupoforthogonalbasisisconstructedbasedonUE-Bézierbasis.ThetransformationmatricesbetweenUE-Bézierbasisandtheproposedorthogonalbasisarealsosolved.
简介:Aimingattheproblemssuchasmorerepeatedlydesignandlongerdesigncycle,inthispaper,thesimilaritytheorywasintroducedtothedesignprocessofthekeystructuresofflotationmachine.TheimpellerandU-shapedtankofflotationmachinesystemwereanalyzedassimilarityunit.Meanwhile,thelevelofsimilarityoftheunitsandthesimilarityofthesystemwerecalculated.BasedontheanalysisoftheimpellerandthesizeofU-shapedtank,thesimilaritycriteriawerederived.Thederivedconclusionsare:(1)Therelationshipbetweenthediameteroftheimpellerandthevolumeofthetankwaspowerfunctionandcalculatedasthesimilaritycriteriaoftheimpeller;(2)TherelationshipbetweentheratiobetweentheU-shapedtank’scross-sectionalareaandimpeller’sdiameterandthevolumeofthetankwaspowerfunctionandcalculatedasthesimilaritycriterionsoftheU-shapedtank.Usingthesimilaritycriterioncombinedwithcomputertechnologyanddatabasetechnologytorealizepartandsystemserializationdesign.Theresultsshowthattheresearchcanavoidrepeatedlydesign,shortendesigncycle,andraisethedesignefficiency.
简介:Thispaperpresentsanewbasis,theWSBbasis,whichunifiestheBernsteinbasis,Wang-BallbasisandSaid-Ballbasis,andthereforetheBéziercurve,Wang-BallcurveandSaid-BallcurvearethespecialcasesoftheWSBcurvebasedontheWSBbasis.Inaddition,therelativedegreeelevationformula,recursivealgorithmandconversionformulabetweentheWSBbasisandtheBernsteinbasisaregiven.
简介:Thequalityofskeletonsystemforthecheetahrobotgoeshandinhandwithitsbionicresultofitsshape,structureandfunctions.Inviewoftheskeletonsystemconstitutionandstructuralcharacteristicofthecheetah,theteamappliedstructuredesign,stimulationanalysisandparameteroptimizationtodevelopingthecheetahrobot.Inaddition,aftertheinventionofcheetahrobot'santeriorlumbarvertebrabasedonitsfunctionalattributeandconnectivityattribute,theSolidworksSimulationwasutilizedtoanalyzethedesign,accordingtowhichimprovementonthelumbarvertebrawasmade.Plus,theadvantagesoftheCADandCAEmadethehighefficiencyofdesignworkandhighqualityofthecheetahrobotpossible.