其他齿轮传动简介IntroductiontoOtherGe

其他齿轮传动简介IntroductiontoOtherGearTransmission主讲人：张瑞静12目录CONTENTS斜齿圆柱齿轮传动直齿圆锥齿轮传动Basicconceptsofmaterialmechanicsstraightbevelgear1斜齿圆柱齿轮传动HelicalcylindricalgeartransmissionONE一、渐开线齿轮的正确啮合条件Correctmeshingconditionsforinvolutegears1.渐开线斜齿圆柱齿轮齿面的形成FormationoftoothsurfaceofinvolutehelicalcylindricalgearsFormationoftoothsurfaceofspurgears直齿圆柱齿轮齿面的形成Formationoftoothsurfaceofhelicalcylindricalgears斜齿圆柱齿轮齿面的形成与基圆柱母线NN平行的直线KK展成齿面ThestraightlineKKparalleltothebasecylindricalgeneratrixNNisdevelopedintoatoothsurface与基圆柱母线成夹角β0的斜直线KK展成拿齿轮的齿面AtananglewiththebasecylindricalbusbarβTheobliquestraightlineKKof0isdevelopedintothetoothsurfaceofthegear一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission2.斜齿圆柱齿轮主要参数Mainparametersofhelicalcylindricalgears●端面:垂直于齿轮轴线的平面，用t作标记。Endface:Aplaneperpendiculartothegearaxis,markedwitht.●法面:与轮齿齿线垂直的平面，用n作标记。Normalplane:Aplaneperpendiculartothetoothlineofagear,markedwithn.斜齿轮的标准参数在法面Thestandardparametersofhelicalgearsareonthenormalplane一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission(1)螺角β:Spiralangleβ:螺旋线任意点的切线与齿轮轴线之间的夹角。Theanglebetweenthetangentofanypointonthehelixandthegearaxis.右旋dextrorotation左旋counter-clockwise一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission除螺旋角以外，斜齿轮和直齿轮一样，也有齿数、模数、压力角、齿顶高系数和顶隙系数这些基本参数。但斜齿轮的模数、压力角有端面和法面之分，并分别以下标t和下标n表示Inadditiontothehelixangle,helicalgears,likespurgears,alsohavebasicparameterssuchasnumberofteeth,modulus,pressureangle,toothheightcoefficient,andbacklashcoefficient.Butthemodulusandpressureangleofhelicalgearscanbedividedintoendfacesandnormalfaces,andarerepresentedbythesubscriptstandnrespectively一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission(3)压力角Pressureangltanαn=tanαtcosβ法面压力角αn为标准值。NormalpressureangleαNisthestandardvalueαn=20°螺旋线任意点的切线与齿轮轴线之间的夹角。(4)齿顶高系数和顶隙系数Toothtopheightcoefficientandbacklashcoefficient轮齿端面和法面的齿顶高系数和顶隙系数相同。Thetoothtopheightcoefficientandclearancecoefficientofthegeartoothendfaceandnormalsurfacearethesame.一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission(2)模数和齿距Moduleandtoothpitchmn=mtcosβ法面齿距pn:Normaltoothpitchpn:Pn=ptcos=πmn端面齿距pt:Endfacepitchpt:Pt=πmt法面normalplane端面endface一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission(5)当量齿数Zv与斜齿轮法面齿形相当的直齿圆柱齿轮称为斜齿轮的当量齿轮，当量齿轮的齿数称为斜齿轮的当量齿数。EquivalentnumberofteethZvAstraightcylindricalgearwithanormaltoothshapeequivalenttoahelicalgeariscalledtheequivalentgearofahelicalgear,andthenumberofteethoftheequivalentgeariscalledtheequivalentnumberofteethofahelicalgear.当量齿数z一般不是整数Theequivalentnumberofteethzisgenerallynotaninteger

一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission问题:斜齿轮不产生根切的最小齿数是17吗?Question:Istheminimumnumberofteethforhelicalgearsnottoproduceundercut17?Zmin=17cos³β<17一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission3.斜齿圆柱齿轮正确啮合条件Correctmeshingconditionsforhelicalcylindricalgears法面模数相等，即mn1=mn2Thenormalsurfacemodulusisequal,ismn1=mn2法面压力角相等，即αn1=αn2=20°Thenormalpressureangleisequal,isαn1=αn2=20°螺旋角β相等、旋向相同或相反HelixangleβEqual,rotatinginthesameoroppositedirection外啮合β1=-β2Externalmeshingβ1=-β2内啮合β1=β2internalgearingβ1=β2一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission直齿圆柱齿轮啮合Straightcylindricalgearmeshing一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission4斜齿圆柱齿轮的传动特点Transmissioncharacteristicsofhelicalcylindricalgears齿面接触是由一个点开始，逐渐增至一条最长的线，再由最长的接触线减短至一个点而后退出啮合。Toothcontactstartsfromapoint,graduallyincreasestothelongestline,andthendecreasesfromthelongestcontactlinetoapointbeforeexitingmeshing.接触线contactline斜齿圆柱齿轮HelicalGear一、斜齿圆柱齿轮传动Helicalcylindricalgeartransmission优点:Advantages:●啮合性能好、传动平稳，噪音小。Goodmeshingperformance,stabletransmission,andlownoise.●重合度大，承载能力高Largeoverlapandhighbearingcapacity●Zmin<Zvmin，机构更紧凑Zmin<Zvmin，Morecompactorganization缺点:Disadvantages:产生轴向力，且随β增大而增大GenerateaxialforceandfollowβIncreaseinsize斜齿轮广泛应用在大功率和高速齿轮传动中Helicalgearsarewidelyusedinhigh-powerandhigh-speedgeartransmission2直齿圆锥齿轮传动straightbevelgearTWO直齿圆锥齿轮传动是用来传递空间两相交轴之间运动和动力的一种齿轮传动。Straightbevelgeartransmissionisatypeofgeartransmissionusedtotransmitmotionandpowerbetweentwointersectingaxesinspace.二、直齿圆锥齿轮传动straightbevelgear直齿圆锥齿轮传动是用来传递空间两相交轴之间运动和动力的一种齿轮传动。Straightbevelgeartransmissionisatypeofgeartransmissionusedtotransmitmotionandpowerbetweentwointersectingaxesinspace.Spiralbevelgear弧齿锥齿轮斜齿锥齿轮skewbevelgearstraightbevelgear直齿锥齿轮二、直齿圆锥齿轮传动straightbevelgear二、直齿圆锥齿轮传动straightbevelgear1.直齿锥齿轮的啮合特点Themeshingcharacteristicsofstraightbevelgears圆锥齿轮传动振动和噪声都比较大，一般应用于速度较低的传动中。Thevibrationandnoiseofbevelgeartransmissionarerelativelyhigh,andaregenerallyusedintransmissionswithlowerspeeds.发动机engine变速箱Transmission二、直齿圆锥齿轮传动straightbevelgear

2.圆锥齿轮理论廓的形成FormationofTheoreticalProfileofBevelGears球面由于不能展开成平面，给设计和制造带来很大困难，工程上采用近似。Sphericalsurfacescannotbeunfoldedintoaplane,whichposesgreatdifficultiesindesignandmanufacturing.Therefore,approximationsareusedinengineering.基圆锥basecone球面渐开线Sphericalinvolute二、直齿圆锥齿轮传动straightbevelgear3.当量齿数Equivalentnumberofteeth将扇形齿轮补足成完整的直齿圆柱齿轮，其齿数将增至Zv1和Zv2即为圆锥齿轮的当量齿轮。Bysupplementingthesectorgearintoacompletestraightcylindricalgear,thenumberofteethwillincreasetoZv1andZv2,whichareequivalentgearstobevelgears.

二、直齿圆锥齿轮传动straightbevelgear4.锥齿轮的正确合条件Correctclosingconditionsforbevelgears●大端模数相等，即m1=m2Themodulusofthelargeendisequal,i.em1=m2●大端压力角相等，即α1=α2=20°Thepressureangleatthelargeendisequal,i.eα1=α2=20°●Σ=δ1+δ2二、直齿圆锥齿轮传动straightbevelgear5.连续传动条件Continuoustransmissionconditions重合度ε≥1，按照当量齿轮进行分析和计算。Coincidencedegreeε