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1、NORD-InformationCalculationMethodsandExamplesGetriebebauNORD,Schlicht+KüchenmeisterGmbH&Co.Rudolf-Diesel-Str.1,D-22941BargteheideTelefon:04532/4010,Telefax:04532/401253NORD-InformationPhysicalFormulaeLinearmotionRotatingmotionDistances=v*tAngularj=w*tsj
2、Velocity(speed)v=Angularvelocityw==2*p*nttvWAccellerationa=Angularaccellerationa=ttForceF=m*aTorqueM=J*r=F*rPowerP=F*vPowerP=M*wWorkW=F*s=P*tWorkW=M*j=P*t1212KineticenergyWkin=*m*vRotatingenergyWrot=*J*w22Formulaeofdriveengineeringé2dùRollingresistance,
3、-forceFR=m*g*ê*(mL*+f)+cú:mL,f,c,s.tables______1__,_2__,_3__.ëD2ûorFR=We*mWeforwheel/railsteels.diagramme1,2.Slidingresitance,-forceFG=m*g*mms.table4Staticfriction-forceFH=m*g*mOmOs.table4WindloadF=A*PWævö2MomentofinertiawithrefernceJred=91,2*m*ç÷Transl
4、ationnMèøænö2tothemotorshaftorJred=J*ç÷RotationnMèøv*60Speedn=p*DP*9550TorqueM=nF*vFrictionpowerPR=Translation1000*hM*norPR=Rotation9550m*a*vAccelerationpowerPB=Translation1000*hJ*n2orPB=Rotation91,2*1000*tB*h2NORD-InformationFormulaesymbolsandunities2a
5、Accelerationm/s2aBAcceleration(startup)m/s2avDeceleration(braking)m/s2AArea(wind)mcAdditionalfactorforsecondaryfriction-dDiameter(bearingspigotdiameter)mdOPinionorsprocketdiametermd1Piniondiametermd2ChainsprocketdiametermDDiameterofthetravellingwheelorc
6、abledrumorofthemsprocketfLeverarmofrollingfrictionmfBServicefactor-fZAdditionalfactorforoverhungload-FForce,rollingresistanceNFGSlidingfrictionNFHStaticfrictionNFQOverhungloadNFQvorhExistingoverhungloadNFQzulPermissibleoverhungloadNFRRollingresistanceNF
7、WWindloadNGravity(constant:9,81)2gm/siReduction-iV-Additionalreduction(gear,chain,belt...)Momentofinertia2JkgmMomentofinertiaofthebrake2JBrekgmMomentofinertiaofthemotor2JMkgmMomentofinertiawithreferencetothemotorshaft2JredkgmMomentofinertiaofthez-fan2JZ
8、kgmLNhBrakeservicelifeuntilreadjustmentmkgWeight(mass)maf-InertiamassaccelerationfactormGkgMassofcounterweightmLkgMasswithfullloadmOkgMasswithoutload4NORD-InformationMTorqueNmMBBrakingtorqueNmMHRunuptorqueNmMLTorquewithfullload(w
