021-46088862 Worm Gears Generator

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AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Autodesk InventorAutodesk Inventor افزار Engineer s Handbook هندبوک مهندسی نرم انجمن اینونتور ایران www.irinventor.comEmail: irinventor@chmail.iririnventor@hotmail.comGears CalculationTel: 09352191813 &021-46088862Worm GearsGenerator کلیه مطالب : ] قابل توجه خوانندگان عزیر Autodesk این هندبوک از سایت شرکت [. کپی برداری شده است 1

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Basic geometric calculationInput ParametersTeeth type - common or spiralGear ratio and tooth numbersPressure angle (the angle of tool profile) αModule m (With ANSI - English units, enter tooth pitch p π m)Unit addendum ha *Unit clearance c *Unit dedendum fillet r f *Face widths b 1 , b 2Unit worm gear correction xWorm size can be specified using the: worm diameter factor qhelix direction γpitch diameter d 1Auxiliary Geometric CalculationsDesign of module, Number of teeth, Worm diameter factor and correctionCalculation of worm gear unit correctionWorm gear face width designWorm length designCalculation of maximum tooth root filletCalculated parameters2

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Common gearing ZNAxial modulemn mNormal modulem x m n cos γAxial pressure angle α x aNormal pressure angleα n arctg (tg α cos γ)Helix/lead angleγ arcsin z 1 /qSpiral gearing ZAAxial modulem n m x / cos γNormal modulemx mAxial pressure angle α n arctg (tg α cos γ)Normal pressure angleα x αHelix/lead angleγ arctan z 1 /qNormal tooth pitch3

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران pn π mnAxial tooth pitchpx πxBasic tooth pitchp b p x cos α xLeadpz z1pxVirtual/alternate number of teethHelix angle at basic cylindersin γ b sin γ cos α nWorm pitch cylinder diameterd1 q mWorm gear pitch circle diameterd2 z2mxWorm outside cylinder diameterd a1 d 1 2mh a *Worm gear outside circle diameterd a2 d 2 2m (h a * x)4

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Worm root cylinder diameterd f1 d 1 - 2m (h a * c * )Worm gear root circle diameterd f2 d 2 - 2m (h a * c * - x)Worm rolling(work) circle diameterd w1 d 1 2xmWorm gear rolling(work) circle diameterd w2 d 2Worm gear root circle diameterd b2 d 2 cos α xCenter distanceChamfer angle of worm gear rimWorm tooth thickness in normal planeWorm gear tooth thickness in normal plane5

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Worm tooth thickness in axis planes x1 s 1 / cos γWorm gear tooth thickness in axis planes x2 s2 / cos γWork face widthb w min (b 1 , b 2 )Contact ratioε γ εα εβwhere:Minimum worm gear tooth correctionwhere:h a * 0 h a * c * - r f * (1 - sin α)c 0.3 for α 20 degreesc 0.2 for α 15 degrees6

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Design of module, number of teeth, worm diameter factorand correctionUsed CalculationThe calculation of wormgear unit corrections for all combinations of modules and wormdiameter factors, for which the resulting correction is in the range from - 0.5 to 1.Unit Correction Design:Used CalculationWorm Gear Face Width Design:Metric unitsANSI with English unitsWorm Length Design:Metric units7

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Calculation of strength proportionsInput values:Gearing ratio iDriving wormInput power P 1Input speed n 1Driven worm gearInput power P 2Input speed n 2Calculated valuesa) Driving wormOutput speed:b) Driving worm gearOutput speed: n 1 n 2 iMetric unitsWorm circumferential speedANSI with English unitsWorm circumferential speed8

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Worm gear circumferential speedSliding speedv k v 1 / cos γFriction factor in gearFriction angletg ρ z μ za) Driving wormGear efficiency:Output power:P2 P1ηMetric unitsInput moment:9

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Tangential/circumferential force:ANSI with English unitsInput moment:Tangential/circumferential force:Output moment:T2 T1i ηb) Driving worm gearGear efficiency:Output power:P1 P2ηMetric unitsInput moment:10

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Tangential/circumferential force:ANSI with English unitsInput moment:Tangential/circumferential force:Output moment:Tangential/circumferential forceAxial forceF a1,2 F t2,111

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Radial forceNormal force12

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Strength calculation with CSN 01 4686Based on the fixed-end beam calculation. Includes the majority of effects.Safety factor of contact fatiguewhere:σ Hlimcontact fatigue limit (material value)Fttangential force acting at teethbwoperating facewidthSafety factor of bending fatiguewhere:σ Flimbending fatigue limit (material value)Increase of Temperature CheckSafety against overheating: Q od P zwhere:Q od ϑ D A kheat conducted away in oilϑ D t max - t 0 available temperature drop60o13

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Akgearbox surface, which conducts away the heat, A 9 . 10 -5 a 1.85 for wellribbed gearboxtransfer of heat factor, k 6.6.10 -3 (1 0.4n 1 0.75 ) for the gearbox with fan andbottom wormDeflection Check of Worm ShaftResultant deflection if the worm is symmetrically mounted and has the length l 2.5 b 1 :where:moment of inertiaAllowable deflection:y D 0.004mshaft with hardened wormy D 0.01mshaft with heat-treated wormFactor calculationsZ N . service life (for contact)1 ZN 1.8Y N . service life (for bending)1 ZN 1.85N Hlim , N Flim . base number of load cycles (material value)N K1,2 . required number of load cycles (speed)N K2 60 L h n 214

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Z L . lubricantZ v . circumferential speedZ E . material mechanical propertieswhere:μPoisson's ratio (material value)E modulus of elasticity (material value)Z H . mating teeth shapeZ ε . length of contact curvesY ε . profile mesh effectfor ε β 1:for ε β 1:Y β . helix directionwhere:Y β min 1 - 0.25 ε β 0.7515

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Y F . tooth shape (table value)ZVYF20 1.9822 1.9325 1.9527 1.830 1.7633 1.736 1.6240 1.5545 1.4850 1.4560 1.480 1.341001.31501.273001.24K H . additional loads (for contact)K H K A K Hv K Hβ K HαK F . additional loads (for bending)K F K A K Fv K Fβ K FαK A . outside dynamic forceswhere:K Hv K Fvtable valuesportion of single tooth loadingloading non uniform teeth along the width (for contact)Θworm deformation (table value)loading non uniform teeth along the width (for bending)16

انجمن اینونتور ایران / هندبوک مهندسی نرم افزار AUTODESK INVENTOR h 2m 17

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران Strength calculation with ANSIBased on the fixed-end beam calculation. Includes the majority of effects.Dynamic LoadF d F t2 K vwhere:F t2Poisson's ratio (material value)circumferential force factorv2gear circumferential speed [ft/min]Allowable Bending ForceFs Snb2p y Fdwhere:S nlimiting bending strength (material value)b 2 gear widthp gear pitchy form factor (Lewis factor)Allowable Contact ForceFw d2b2Kw Fdwhere:K wlimiting contact strength (material value)b 2 gear width18

AUTODESK INVENTOR هندبوک مهندسی نرم افزار / انجمن اینونتور ایران d 2 gear pitch diameterIncrease of Temperature CheckQ max P zwhere:P z P (1 - η 0.3)lost powerQ max C A (t max - t 0 ) /33000heat conducted away in oilt max - t 0 120° Fallowable temperature dropACgearbox surface, which conducts away the heat, A 0.3 a 1.7 for wellribbed gearboxtransfer of heat factor, C 0.0356 n 1 20 for the gearbox with fanand bottom ----------------------------Web: www.irinventor.irEmail: irinventor@chmail.ir&irinventor@hotmail.comTel: 09352191813 & 021-4608886219

Unit worm gear correction x Worm size can be specified using the: worm diameter factor q helix direction γ pitch diameter d 1 Auxiliary Geometric Calculations Design of module, Number of teeth, Worm diameter factor and correction Calculation of worm gear unit correction Worm g

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