齒輪傳動(dòng)及測(cè)量理論演示文稿

齒輪傳動(dòng)及測(cè)量理論演示文稿NeuesFolien-Layout現(xiàn)在是1頁(yè)\一共有30頁(yè)\編輯于星期五（優(yōu)選）齒輪傳動(dòng)及測(cè)量理論.NeuesFolien-Layout現(xiàn)在是2頁(yè)\一共有30頁(yè)\編輯于星期五da

齒頂圓直徑

tipdiameterdNa,dFa,dab

有效齒頂圓直徑

effectivetipdiameterdFa,min

最小有效齒頂圓直徑

min.effectivetipdiameterdNf,max

最大有效齒頂圓直徑

max.SAPdiameterdNf

SAP直徑

SAPdiameterdFf

齒根形狀直徑

rootformdiameter

df

根圓直徑

rootdiameterdfv砂輪齒頂位置（假想齒根圓直徑） SAP:startofactiveprofile

SAP:有效齒形的起點(diǎn)Diameters

直徑da

dNa,dFa

prefinishedcontour預(yù)加工輪廓dFa,min

dNf

df

dFf

dNf,max

finishedcontour精加工輪廓dfvGearingandMeasurement VerzahnungundMessung現(xiàn)在是3頁(yè)\一共有30頁(yè)\編輯于星期五ThreadmodelStep1:Wrapathreadaroundthebasecircle,Step2:Unwindthethreadfromthe

basecircleStep3:Fixedtothethread,apenpaints

theinvolute.Fadenmodel第一步:沿基圓繞線第二步:將線展開(kāi)拉直第三步:將筆固定于線，可畫(huà)出漸開(kāi)線

Developing

展成GearingandMeasurement VerzahnungundMessung現(xiàn)在是4頁(yè)\一共有30頁(yè)\編輯于星期五StandardgeometryofgearteethFlanks=involutes.Tooththickness

sb.Tipcircleandrootcirclelimit

thestandardtooth.輪齒的標(biāo)準(zhǔn)幾何外形齒側(cè)面=漸開(kāi)線齒厚

sb.齒頂圓和齒根圓限定了標(biāo)準(zhǔn)齒的形狀.Standardtooth

標(biāo)準(zhǔn)齒GearingandMeasurement VerzahnungundMessung現(xiàn)在是5頁(yè)\一共有30頁(yè)\編輯于星期五RolldistanceEachcirclesegmentbelongs

toaninvolutesegmentLengthofthecirclesegments

=lengthofthethread

=rolldistance

滾動(dòng)距離每段圓弧都屬于一個(gè)漸開(kāi)線段圓弧長(zhǎng)度=線的長(zhǎng)度=滾動(dòng)距離

Rolldistance

滾動(dòng)距離GearingandMeasurement VerzahnungundMessung現(xiàn)在是6頁(yè)\一共有30頁(yè)\編輯于星期五Onebasecirclegenerates

manyinolutes.Basepitch=distance

betweentheinvolutes.一個(gè)基圓展成許多漸開(kāi)線基節(jié)=漸開(kāi)線間的距離Basepitch

基節(jié)GearingandMeasurement VerzahnungundMessung現(xiàn)在是7頁(yè)\一共有30頁(yè)\編輯于星期五Mainadvantage

ofinvolutegears: Independentfromthechange

ofthecenterdistance漸開(kāi)線齒輪的主要優(yōu)點(diǎn):

與中心局的改變無(wú)關(guān)Changeofcenterdistance

中心距的改變GearingandMeasurement VerzahnungundMessung現(xiàn)在是8頁(yè)\一共有30頁(yè)\編輯于星期五Workingpressureangleaw

工作壓力角aw

onlydefinedforagearpair

只對(duì)一對(duì)齒輪定義awdependsonthecenterdistance

aw

取決于中心距Workingpressureangle

工作壓力角awawGearingandMeasurement VerzahnungundMessung現(xiàn)在是9頁(yè)\一共有30頁(yè)\編輯于星期五Pathofcontact(POC)duringmesh,thepointofcontact

movesalongthepathofcontact(POC)POCistangentialtothebasecirclesLengthofaction=Distanceonthe

POCbetweenthetipcircles

嚙合軌跡嚙合過(guò)程中，接觸點(diǎn)沿嚙合軌跡移動(dòng)嚙合軌跡與基圓相切嚙合長(zhǎng)度=齒頂圓之間嚙合軌跡線的距離Pathofcontact(POC)

嚙合軌跡POC

嚙合軌跡GearingandMeasurement VerzahnungundMessung現(xiàn)在是10頁(yè)\一共有30頁(yè)\編輯于星期五Basetangentlength

公法線長(zhǎng)度BasetangentlengthWk

公法線長(zhǎng)度Wk

dependentonthenumberof

取決于測(cè)量的齒數(shù)K

measuringteethk

(picture:k=5) (圖中k=5)GearingandMeasurement VerzahnungundMessung現(xiàn)在是11頁(yè)\一共有30頁(yè)\編輯于星期五Prefinishedcontour

預(yù)加工輪廓PrefinishedgearsRootgeometryismanufactured

byhobbingorcuttingBasetangentlengthofprefinished

gearsisdifferenttofinishedgearsAttention: Changeofhoborcutter

canmakeproblems預(yù)加工的齒輪滾齒或銑齒加工得到齒根輪廓預(yù)加工后的基圓切線長(zhǎng)度與最終的基圓切線長(zhǎng)度是不一樣的注意:更換滾刀或銑刀可能出現(xiàn)問(wèn)題

finishedcontour最終輪廓（精加工后）hobbedcontour滾齒后輪廓GearingandMeasurement VerzahnungundMessung現(xiàn)在是12頁(yè)\一共有30頁(yè)\編輯于星期五Rollingabasicrack

generatesagearThat‘stheprincipleofhobbingwormgrinding

滾動(dòng)齒條可以生成齒輪這就是滾齒和蝸桿磨的原理Basicrack

齒條basecircle

基圓GearingandMeasurement VerzahnungundMessung現(xiàn)在是13頁(yè)\一共有30頁(yè)\編輯于星期五Therootfilletisacycloid,

generatedbythetooltipToolofprefinishprocess:

hoborcutterUndercutisaspecialgeardesign齒根修形是由刀頭加工得到的圓滾線粗加工的刀具：滾刀或銑刀根切是一種特殊的齒輪設(shè)計(jì)Rootfillet

齒根修形Cycloid

圓滾線Tooltip

刀頭rararaGearingandMeasurement VerzahnungundMessung現(xiàn)在是14頁(yè)\一共有30頁(yè)\編輯于星期五 Onebasicrackcangenerateseveralgearswiththesamebasecirclewiththesameinvolute,butdifferentpartsoftheinvolutechangingaddendummodification(profileshift)

一個(gè)齒條可以生成多個(gè)齒輪有同樣的基圓有相同的漸開(kāi)線，但屬于漸開(kāi)線的不同部分更換變位系數(shù)（齒形改變）Addendummodification

齒頂修形GearingandMeasurement VerzahnungundMessung現(xiàn)在是15頁(yè)\一共有30頁(yè)\編輯于星期五Tableofaddendummodifications

變位系數(shù)表Copyright?ZFFriedrichshafenAG2001GearingandMeasurement VerzahnungundMessung現(xiàn)在是16頁(yè)\一共有30頁(yè)\編輯于星期五Variationofprofileangle

壓力角的變化GearingandMeasurement VerzahnungundMessung現(xiàn)在是17頁(yè)\一共有30頁(yè)\編輯于星期五DuetothegeometricgenerationTheprobemoveslinearinthe transversplaneThegearrotatesDiagramofatrueinvolute

isaverticalline根據(jù)幾何結(jié)構(gòu)探頭在橫截面線性移動(dòng)齒輪轉(zhuǎn)動(dòng)一條無(wú)誤差的漸開(kāi)線的圖是一條垂線Measurementofinvoluteprofiles

漸開(kāi)線齒形的測(cè)量GearingandMeasurement VerzahnungundMessung現(xiàn)在是18頁(yè)\一共有30頁(yè)\編輯于星期五ProfileangledeviationfHa

齒形角誤差fHaDeviationinmicrometerμm

千分尺的誤差μmRelatedtothemeasurementrange

與測(cè)量范圍有關(guān)

Profileformdeviationffa

齒形輪廓誤差ffaDeviationinmicrometerμm

千分尺誤差μmProfiledeviations

齒形誤差fHafHa-+ffaffa-+GearingandMeasurement VerzahnungundMessung現(xiàn)在是19頁(yè)\一共有30頁(yè)\編輯于星期五Evaluationrangeisusually

equalto80%oftheprofilelengthEvaluationrangeisnotequal

totherequiredmeasurementrange計(jì)量范圍通常在齒形長(zhǎng)度的80%以?xún)?nèi)計(jì)量范圍不等同于要求的測(cè)量范圍Evaluationrange

計(jì)量范圍profilemeasurement

齒形測(cè)量100%80%GearingandMeasurement VerzahnungundMessung現(xiàn)在是20頁(yè)\一共有30頁(yè)\編輯于星期五Typicalprofilecharts

典型齒形圖Examplesofprofilemeasurement

齒形測(cè)量的實(shí)例GearingandMeasurement VerzahnungundMessung現(xiàn)在是21頁(yè)\一共有30頁(yè)\編輯于星期五Underload

加載時(shí)deformationofthegearteeth

輪齒變形entryimpact

嚙入沖擊modificationsareusedtoavoid

通過(guò)修形來(lái)避免嚙入沖擊

theentryimpact

Profileunderload

加載時(shí)的齒形主動(dòng)輪從動(dòng)輪主動(dòng)輪從動(dòng)輪GearingandMeasurement VerzahnungundMessung現(xiàn)在是22頁(yè)\一共有30頁(yè)\編輯于星期五HelicalgearsScrewedtransversecut.involuteineachtransversecut.sameKsheetasspurgears.

斜齒輪螺旋橫切.各個(gè)橫截面中的漸開(kāi)線.同直齒輪一樣的跨測(cè)齒數(shù)表（K表）Helicalgears

斜齒輪GearingandMeasurement VerzahnungundMessung現(xiàn)在是23頁(yè)\一共有30頁(yè)\編輯于星期五TransversecutBasecircledb

dependsonhelixangleb.Differentbgeneratesdifferentinvolutes

inthetransverscuts.Pictureshowstransversecutswith

samebasicrackbutdifferenthelixangles

橫截面基圓db取決于螺旋角b不同的b

在橫截面上生成不同的漸開(kāi)線如圖所示，橫截面上有相同的齒條，但是螺旋角不同Influenceofhelixangle

螺旋角的影響GearingandMeasurement VerzahnungundMessung現(xiàn)在是24頁(yè)\一共有30頁(yè)\編輯于星期五Twogearsinmesh

嚙合的一對(duì)齒輪twobasecylinders

兩個(gè)基圓柱closedthread,

繞圓柱，有閉合的曲線

wrappedaroundthecylinders Basecylinder

基圓柱GearingandMeasurement VerzahnungundMessung現(xiàn)在是25頁(yè)\一共有30頁(yè)\編輯于星期五Helicalgears

斜齒輪Propertiesofthecylindersurface

圓柱面的特征可以展開(kāi)到平面上

canbetransformedintoaplane Thecylindercanbethe

這個(gè)圓柱可以是節(jié)圓，也可以是基圓

pitchcylinderorbasecylinder Developingintotheplane

展開(kāi)到平面GearingandMeasurement VerzahnungundMessung現(xiàn)在是26頁(yè)\一共有30頁(yè)\編輯于星期五Helicalgear

斜齒輪Thecontactlinesarestraightlines.

嚙合線是直線Advantage:smoothentrance

優(yōu)點(diǎn)：嚙入平穩(wěn)Contactratioispartofgeardesign

嚙合比是齒輪設(shè)計(jì)的重要部分

Contactline

嚙合線GearingandMeasurement VerzahnungundMessung現(xiàn)在是27頁(yè)\一共有30頁(yè)\編輯于星期