A study of planar orbiting mechanism and its applicationsto scroll fluid machinery

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1、Mech.Math.TheoryVol.31,No.5,pp.705-716,1996Copyright©1996ElsevierScienceLtdaergan,on0094-114X(95)00116-6PrintedinGreatBritain.Allrightsreserved0094-114X/96$15.00+0.00ASTUDYOFPLANARORBITINGMECHANISMANDITSAPPLICATIONSTOSCROLLFLUIDMACHINERYYIN-RENLEEandWEN-FANGWU?DepartmentofMechanicalEngine

2、ering,NationalTaiwanUniversity,Taipei10617,Taiwan,RepublicofChina(Received2September1994,"inrevisedform9September1995;receivedforpublication19December1995)Abstract--Thelawofgearingplaysaveryimportantroleinthemechanismandmachinedesign.Onthecontrarytoagearwhichusuallyrotatesaboutitsownaxisw

3、ithouttranslationalmotion,theplanarorbitingmechanismmovingaroundacircularorbitwithoutself-rotationisalsoanimportantmechanism.Ithastheabilityofchangingitsenclosedfluidvolumeandthereforecanbeappliedtofluidmachinessuchaspumps,compressorsandengines.Inthispaper,someelementarytheoremsrelatedtot

4、hedesignofplanarorbitingmechanismsareproposedandproved.Applicationsbasedonthesetheoremsarediscussed.Twoexamplesinthedesignofscrollfluidmachinesareparticularlyillustrated;oneofwhichfocusesonthegeometricscrollshapedesignandtheotherpointsoutawaytoconstructtheso-calledperfectlymeshingscrollpr

5、ofiles.Copyright©1996ElsevierScienceLtd.INTRODUCTIONGearingisaveryimportantmechanism.Ithasbeenusedforalongtimeandthetheoryrelatedtoitsdesignisverycomplete.Thehistoryofgearingbeginswithancientcivilizations.FrictionwheelswereusedbyAristotlein330BCandtoothedgearwasinventedbyCtesibiusinthethi

6、rdcenturyBCwhenitwasfirstputinawaterclock[1,2].Ascomparedtothemotionofagearwhichrotatesaboutitsownaxiswithoutanyothermotion,theplanarorbitingmechanismmovesarounditsownorbitwithoutself-rotation.Itcanbethoughtofasacomplementtogear.Theessentialpurposeofgearistotransmitrotarymotionfromoneshaf

7、ttoanotherwhilethemostimportantpurposeofaplanarorbitingmechanismistochangethefluidvolumeitencloses.Therefore,thelattercanbeappliedtofluidmachinessuchaspumps,compressorsandengines.Forexample,Creuxin1905issuedanAmericanpatentforascrollcompressorsuchasthatindicatedinFi