欢迎来到人人文库网! | 帮助中心 人人文档renrendoc.com美如初恋!
人人文库网
全部分类
  • 图纸下载>
  • 教育资料>
  • 专业文献>
  • 应用文书>
  • 行业资料>
  • 生活休闲>
  • 办公材料>
  • 毕业设计>
  • ImageVerifierCode 换一换
    首页 人人文库网 > 资源分类 > PDF文档下载  

    外文翻译--选择固定参数研究齿轮牙侧面的设计规则 英文版.pdf

    • 资源ID:97664       资源大小:737.29KB        全文页数:6页
    • 资源格式: PDF        下载积分:5积分
    扫码快捷下载 游客一键下载
    会员登录下载
    微信登录下载
    三方登录下载: 微信开放平台登录 支付宝登录   QQ登录   微博登录  
    二维码
    微信扫一扫登录

    手机扫码下载

    请使用微信 或支付宝 扫码支付

    • 扫码支付后即可登录下载文档,同时代表您同意《人人文库网用户协议》

    • 扫码过程中请勿刷新、关闭本页面,否则会导致文档资源下载失败

    • 支付成功后,可再次使用当前微信或支付宝扫码免费下载本资源,无需再次付费

    账号:
    密码:
      忘记密码?
        
    友情提示
    2、PDF文件下载后,可能会被浏览器默认打开,此种情况可以点击浏览器菜单,保存网页到桌面,就可以正常下载了。
    3、本站不支持迅雷下载,请使用电脑自带的IE浏览器,或者360浏览器、谷歌浏览器下载即可。
    4、本站资源(1积分=1元)下载后的文档和图纸-无水印,预览文档经过压缩,下载后原文更清晰。
    5、试题试卷类文档,如果标题没有明确说明有答案则都视为没有答案,请知晓。

    外文翻译--选择固定参数研究齿轮牙侧面的设计规则 英文版.pdf

    DOI10.1007/s00170-003-1741-8ORIGINALARTICLEIntJAdvManufTechnol(2004)24:789793FengXianying·WangAiqun·LindaLeeStudyonthedesignprincipleoftheLogiXgeartoothprofileandtheselectionofitsinherentbasicparametersReceived:2January2003/Accepted:3March2003/Publishedonline:3November2004Springer-VerlagLondonLimited2004AbstractThedevelopmentofscientifictechnologyandpro-ductivityhascalledforincreasinglyhigherrequirementsofgeartransmissionperformance.Thekeyfactorinfluencingdynamicgearperformanceistheformofthemeshedgeartoothprofile.Toimproveagearstransmissionperformance,anewtypeofgearcalledtheLogiXgearwasdevelopedintheearly1990s.How-ever,forthisspecialkindofgearthereremainmanyunknowntheoreticalandpracticalproblemstobesolved.Inthispaper,thedesignprincipleofthisnewtypeofgearisfurtherstudiedandthemathematicalmoduleofitstoothprofilededuced.Thein-fluenceontheformofthistypeoftoothprofileanditsmeshperformancebyitsinherentbasicparametersisdiscussed,andreasonableselectionsforLogiXgearparametersareprovided.ThusthetheoreticalsysteminformationabouttheLogiXgeararedevelopedandenriched.Thisstudyimpactsmostsignificantlytheimprovementofloadcapacity,miniaturisationanddurabilityofmodernkinetictransmissionproducts.KeywordsBasicparameter·Designprinciple·LogiXgear·Minuteinvolute·Toothprofile1IntroductionInordertoimprovegeartransmissionperformanceandsatisfysomespecialrequirements,anewtypeofgear1wasputfor-ward;itwasnamed“LogiX”inordertoimprovesomedemeritsofW-N(Wildhaver-Novikov)andinvolutegears.Besideshavingtheadvantagesofbothkindsofgearsmen-tionedabove,thenewtypeofgearhassomeotherexcellentF.Xianying(a117)·W.AiqunSchoolofMechanicalEngineering,ShandongUniversity,P.R.ChinaE-mail:FXYingsdu.edu.cnTel.:+86-531-8395852(0)L.LeeSchoolofMechanical&ManufacturingEngineering,SingaporePolytechnic,Singaporecharacteristics.Onthisnewtoothprofile,thecontinuouscon-cave/convexcontactiscarriedoutfromitsdedendumtoitsad-dendum,wheretheengagementswitharelativecurvatureofzeroareassuredatmanypoints.Here,thiskindofpointiscalledthenull-point(N-P).ThepresenceofmanyN-PsduringthemeshprocessofLogiXgearscanresultinasmallerslidingcoeffi-cient,andthemeshtransmissionperformancebecomesalmostrollingfrictionaccordingly.Thusthisnewtypeofgearhasmanyadvantagessuchashighercontactintensity,longerlifeandalargertransmission-ratiopowertransferthanthestandardin-volutegear.Experimentalresultsshowedthat,givenacertainnumberofN-PsbetweentwomeshedLogiXgears,thecontactfatiguestrengthis3timesandthebendfatiguestrength2.5timeslargerthanthoseofthestandardinvolutegear.Moreover,theminimumtoothnumbercanalsobedecreasedto3,muchsmallerthanthatofthestandardinvolutegear.TheLogiXgear,regardedasanewtypeofgear,stillpresentssomeunsolvedproblems.Thedevelopmentofcomputernumer-icalcontrolling(CNC)technologymustalsobetakenintocon-siderationnewhigh-efficiencymethodstocutthisnewtypeofgear.Therefore,furtherstudyofthisnewtypeofgearmostsignificantlyimpactstheaccelerationofitsbroadandpracticalapplication.Thispaperhasthepotentialtousherinanewerainthehistoryofgearmeshtheoryandapplication.2DesignprincipleofLogiXtoothprofileAccordingtogearmeshandmanufacturingtheories,inordertosimplifyproblemanalysis,generallyagearsbasicrackisbegunwithsomestudies2.SohereletusdiscussthebasicrackoftheLogiXgearfirst.Figure1showsthedesignprincipleofdi-videdinvolutecurvesoftheLogiXrack.InFig.1,P.LrepresentsapitchlineoftheLogiXrack.OnepointO1isselectedtoformtheanglen0O1N1=0,P.LO1N1.ThepointsofintersectionbytworadialsO1n0andO1N1andthepitchlineP.LareN1andn0.LetO1n0=G1,extendO1n0toOprime1,andmaketwotan-gentbasiccircleswhosecentresareO1,Oprime1andradiiareequaltoG1.ThepointofintersectionbetweencircleO1andpitchline790Fig.1.DesignprincipleofLogiXracktoothprofileP.Lisn0.ThepointofintersectionbetweencircleO2andpitchlineP.Lisn1.Makethecommontangentg1s1ofbasiccircleO1andOprime1,thengeneratetwominuteinvolutecurvesm0s1ands1m1whosebasiccirclecentresareO1andOprime1.Theradiiofcurvatureatpointsm0andm1onthetoothprofileshouldbe:m0=m0n0,m1=m1n1,andthecentresaremetonthepitchline.MultipledifferentminuteinvolutesconsistingofaLogiXprofileshouldbearrangedforapropersequence.Thepressureangleofthenextminuteinvolutecurvem1m2shouldhaveanincrementcomparabletoitslastsegmentm0m1.Thecentresofcurvatureatextremepointsm1,m2,etc.shouldbeonthepitchline,andtheradiusofthebasiccircleisafunctionofpressure1itvariesfromG1toG2.Theconditionforjoiningfrontandrearcurvesisthattheradiusofcurvatureatpointm1mustbeequaltotheradiusofcurvaturejustafterpointm1,andtheradiusofcurvatureatpointm2mustbeequaltotheradiusofcurvaturejustafterpointm2.Figure2showstheconnectionandprocessofgeneratingminuteinvolutecurves.Accordingtotheabovedis-cussion,thewholetoothprofilecanbeformed.Fig.2.Connectionofminuteinvolutecurves3MathematicmoduleofLogiXtoothprofile3.1MathematicmoduleofthebasicLogiXrackAccordingtotheabove-mentioneddesignprinciple,thecurva-turecentreofeveryfinelydividedprofilecurveshouldbelocatedattherackpitchline,andthevalueoftherelativecurvatureateverypointconnectingdifferentminuteinvolutecurvesshouldbezero.Thedesignofthetoothprofileissymmetricalwithre-specttothepitchline,andtheaddendumisconvexwhilethededendumisconcave.ThusforthewholeLogiXtoothprofile,itcanbedealtwithbydividingitintofourparts,asshowninFig.3.SetupthecoordinatesasshowninFig.4,wheretheoriginofthecoordinatesOcoincideswiththepointofintersectionm0be-tweenrackpitchlineP.Landtheinitialdividedminuteinvolutecurve.AccordingtothecoordinatessetupinFig.4,theformationofinitialminuteinvolutecurvem0m1isshowninFig.5.Fig.3.LogiXracktoothprofileFig.4.Set-upofcoordinatesFig.5.Formationprocessofinitialminuteinvolutecurvem0m1791Here:n0nprime0O1Oprime1,n1nprime1O1Oprime1,n1n1n0nprime0,andthepa-rameters0,G1andm0aregivenasinitialconditions.Thecurvatureradiusoftheinvolutecurveatpoints1iss1=G1,ors1=m1+G11.Thusthecurvatureradiusandpressureangleoftheminuteinvolutecurveatpointm1areasfollows:m1=s1G11=G1(1)(1)1=0+1.(2)Accordingtothegeometricalrelationship,wecandeduce:tg(0+)=2G1G1cosG1cos1G1sinG1sin1=2(cos+cos1)sinsin1.(3)BasedonEqs.1,2and3andtheformingprocessoftheLogiXrackprofile,thecurvatureradiusformulaofanarbitrarypointontheprofileisdeduced:mi=mi1+Gi(i).Wheni=kandm0=0,itisexpressedasfollows:mk=G1(1)+G2(2)+···+Gk(k)=ksummationdisplayi=1Gi(i).(4)Similarly,thepressureangleonanarbitrarykpointofthetoothprofilecanbededucedasfollows:k=0+(+1)+(+2)+···(+k)=0+ksummationdisplayi=1(+i)=0+k+ksummationdisplayi=1i.(5)Byni1ni=Gi(sinsini)/cos(i1+),Eq.5canbeobtained:n0nk=ksummationdisplayi=1ni1ni=ksummationdisplayi=1Gi(sinsini)cos(i1+).(6)ThusthemathematicalmodeloftheNo.2portionfortheLogiXrackprofileisasfollows:braceleftbiggx1=n0nkmkcosky1=mksink(No.2).(7)Similarly,themathematicalmodelsoftheotherthreesegmentscanalsobeobtainedasfollows:braceleftbiggx1=(n0nkmkcosk)y1=mksink(No.1)(8)braceleftbiggx1=s(n0nkmkcosk)y1=mksink(No.3)(9)braceleftbiggx1=s+n0nkmkcosky1=mksink(No.4).(10)Fig.6.MeshcoordinatesofLogiXgearanditsba-sicrack3.2MathematicalmoduleoftheLogiXgearThecoordinatesO1X1Y1,O2X2Y2andPXYaresetupasshowninFig.6toexpressthemeshrelationshipbetweentheLogiXrackandtheLogiXgear.Here,O1X1Y1isfixedontherack,andO1isthepointofintersectionbetweentheracktoothprofileanditspitchline.O2X2Y2isfixedonthemeshedgear,andO2isthegearscentre.PXYisanabsolutecoordinate,andPisthepointofintersectionoftherackspitchlineandthegearspitchcircle.Inaccordancewithgearmeshingtheories3,iftheabovemodeloftheLogiXracktoothprofileischangedfromcoordinateO1X1Y1toOXY,andthenagaintoO2X2Y2,anewtypeofgearprofilemodelcanbededucedasfollows:braceleftbiggx2=mkcoskcos2(mksinkr2)sin2y2=mkcosksin2+(mksinkr2)cos2.(11)Herethepositivedirectionof2isclockwise,andonlythemodeloftheLogiXgeartoothprofileinthefirstquadrantofthecoordi-natesisgiven.4EffectontheperformanceoftheLogiXgearbyitsinherentparametersandtheirreasonableselectionBesidesthebasicparametersofthestandardinvoluterack,theLogiXtoothprofilehasinherentbasicparameterssuchasinitialpressureangle0,relativepressureangle,initialbasiccircleradiusG0,etc.Theselectionoftheseparametershasagreatin-fluenceontheformoftheLogiXtoothprofile,andtheformdirectlyinfluencesgeartransmissionperformance.Thustherea-sonableselectionofthesebasicparametersisveryimportant.4.1Influenceandselectionofinitialpressureangle0Consideringthehighertransmissionefficiencyinpracticalde-sign,theinitialpressureangle0shouldbeselectedas0.ButthefinalcalculationresultshowedthattheLogiXgeartoothpro-filecutbytheracktoolwhoseinitialpressureanglewasequaltozerowouldbeovercutonthepitchcirclegenerally.Thustheinitialpressureangle0cannotbezero.Comparingtherelativedoublecircle-arcgear3,wecanalsodeducethatthesmaller792theinitialpressureangle0,thelargerthegearnumberforpro-ducingtheovercut.Thustheinitialpressureangle0shouldnotonlynotbezero,butshouldnotbetoosmall,either.FromEqs.3,4and5,theinfluenceof0ontheLogiXtoothprofilecanbedirectlydescribedbyFig.7.Obviously,increasingtheini-tialpressureanglewillcausethecurvatureoftheLogiXracktoothprofiletobecomelarger.Iftherackselectsalargermod-uleandtoosmallaninitialpressureangle0,itsaddendumwillbecometoonarroworevenovercut.ThustheLogiXtoothpro-filethatselectsalargermoduleshouldselectasmaller0,andtheprofilethatselectsasmallermoduleshouldselectalarger0.Generally,bypracticalcalculationexperience,theselected0shouldbelocatedwithinarangeof212,andthelargertheLogiXgearmodule,thesmallershouldbeitsinitialpressureangle0.4.2InfluenceandselectionofinitialbasiccircleradiusG0AccordingtotheempiricalformulaGi=G01sin(0.6i)1,therearetwoparametersaffectingthebasiccircleradiusGioftheLogiXgearatdifferentpositionsoftoothprofile:oneistheG0andtheotheristheinitialpressureanglei.Figure8showstheinfluenceofG0ontheLogiXtoothprofilewhencertainvaluesofparameter0andareselected.Obviously,asG0in-creases,thecurvatureofthenewtypeofgeartoothprofilewillbecomesmallerandsmaller.Conversely,itwillbecomeincreas-inglylargerasG0decreases.ThusthenewtypeofrackwithalargemoduleparametershouldselectalargeG0value,andonehavingasmallmoduleparametershouldselectasmallG0value.4.3InfluenceandselectionofrelativepressureangleFigure9showsthevariableofthetoothprofileaffectedbytheparameter.AccordingtotheformingprocessoftheLogiXtoothFig.7.Influenceof0onLogiXtoothprofileFig.8.InfluenceofG0onLogiXtoothprofileFig.9.InfluenceofonLogiXtoothprofileprofile,thesmallertheselectedparameter,thelargerthenum-berofN-PsmeshingonthetoothprofileoftwoLogiXgears.FromSect.2.1theformuladescribingtherelativepressureanglekofanarbitraryN-Pmkcanbededucedasfollows:sin(k1+)cos(k1+)=2(cos+cosk)sinsink.(12)ByEqs.5and12,thelargertheparameterbeingselected,thelargerwillbethekparameter,andatcertainselectedvaluesoftheinitialpressureangleandmaximumpressureangle,thelowerwillbethenumberofN-Ps.Bycontrast,thesmallertheparameter,thelargerthenumberofN-Ps.Whileis0.0006,thenumberofzeropointscanexceed46,000.Inthiscase,selectingagearmoduleofm=100,thelengthofthemicro-involutecurvebetweentwoadjoiningN-Pswillbeonlyafewmicrons.Thatistosay,duringthewholemeshingpro-cessoftheLogiXgeartransmission,theslidingandrollingmotionshappenalternatelyandlastonlyafewmicro-secondsfromonemotiontoanotherbetweentwomeshedgeartoothpro-files.ThegreaterthenumberofN-Ps,thelongertherelativerollingtimebetweentwoLogiXgearsandtheshortertherela-tiveslidingtimebetweentwoLogiXgears.Thusabrasionofthegeardecreasesanditsloadingcapabilityandlifespanareim-proved.But,consideringtherestrictionofmemorycapability,interpolationspeed,angularresolution,etc.fortheCNCmachinetoolusedwhilecuttingthistypeofgear,therelativepressureangleselectedshouldnotbeverysmall.greaterorequalslant0.0006isgenerallysatisfactory.Table1.ParametervaluesselectedforLogiXrackatdifferentmodulesm(mm)0G0(mm)1100.05600028.0.059500460.05100005500.051100064.0.05120008320.0512024102.80.0514000122.60.0516500152.50.0520024182.40.0530036202.40.0535000222.30.0538000

    注意事项

    本文(外文翻译--选择固定参数研究齿轮牙侧面的设计规则 英文版.pdf)为本站会员(上***)主动上传,人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对上载内容本身不做任何修改或编辑。 若此文所含内容侵犯了您的版权或隐私,请立即通知人人文库网(点击联系客服),我们立即给予删除!

    温馨提示:如果因为网速或其他原因下载失败请重新下载,重复下载不扣分。




    关于我们 - 网站声明 - 网站地图 - 资源地图 - 友情链接 - 网站客服 - 联系我们

    网站客服QQ:2881952447     

    copyright@ 2020-2024  renrendoc.com 人人文库版权所有   联系电话:400-852-1180

    备案号:蜀ICP备2022000484号-2       经营许可证: 川B2-20220663       公网安备川公网安备: 51019002004831号

    本站为文档C2C交易模式,即用户上传的文档直接被用户下载,本站只是中间服务平台,本站所有文档下载所得的收益归上传人(含作者)所有。人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对上载内容本身不做任何修改或编辑。若文档所含内容侵犯了您的版权或隐私,请立即通知人人文库网,我们立即给予删除!