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1、倾斜式双滚子包络环面蜗杆副承载能力研究柳在鑫*,**，王进戈*，张均富*，向中凡*（*.西华大学机械工程与自动化学院，四川成都610039；**.四川大学制造科学与工程学院，四川成都610065）摘要：针对倾斜式双滚子包络环面蜗杆传动承载接触具有瞬时多齿啮合及啮合齿面相对法曲率半径较大的特点,提出一种求解齿间载荷分配与接触线上载荷分布的方法。阐述了倾斜式双滚子包络环面蜗杆传动的工作原理，建立了蜗杆副承载计算模型，确立了同时参与啮合的齿对载荷分配系数计算公式，根据布希涅斯克公式和有限差分法推导了该传动副接触变形、蜗轮轮齿弯曲变形和蜗杆轴挠曲变形计算公式。最后运
2、用MATLAB软件进行了数值仿真，并分析了滚柱偏距c2、滚柱半径R、交错角等啮合参数对该传动齿间载荷分配与接触线上载荷分布的影响。仿真结果表明：从啮入端到啮出端其齿间载荷分配呈抛物线变化规律；接触线上载荷分布从齿根到齿顶呈递减趋势。要使该传动保持良好的承载能力，c2在5cm～8cm之间，R在7cm～9cm之间，在8o～12o之间。关键词：环面蜗杆；载荷分配；承载能力；有限差分法中图分类号：TH132.41文献标识码：ABearingcapacityanalysisofnon-paralleldouble-rollerenvelopinghourglasswo
3、rmgearsLIUZaixin*,**,WANGJinge*,ZHANGJunfu*，XIANGZhongfan*(1.SchoolofMechanicalEngineering&Automation,XihuaUniversity.Chengdu,610039,China;2.SchoolofManufacturingScienceandEngineering,SichuanUniversity,Chengdu610065,China)Abstract:Basedonthemulti-gearengagementandlargenormalcurvatu
4、reradiusesofthenon-paralleldouble-rollerenvelopinghourglasswormgearing,amethodthatcandeterminetheloaddistributionalongthecontactlinesandtheloadsharingamongteethwasproposed.Theworkingprinciplewasintroduced.Thecalculationmodelingofthewormgearsandthecalculationformulaforloadsharebetwe
5、enteethwereestablished.AccordingtotheformulaofBoussinesqandfinite-differencemethod,theformulasofcontactdeformation,bendingdeformationofthewormgeartoothandflexibilitydistortionofthewormshaftswerededuced.ThesimulationwasconductedusingMATLABsoftware,c2、Randwhichimpactedtheloaddistribu
6、tionalongthecontactlinesandtheloadsharingamongteethwereanalyzed.Theresultsshowthattheloadsharingamongteethinthemeshingisfirstdecreasedandthenincreased,whichshowsaparabolacurvewhichactivitychange;theloaddistributionalongthecontactlineswoulddecreasefromteethtoptoteethroot.c2shouldbec
7、ontrolledwithin5to8cm,Rshouldbecontrolledwithin7to9cm,shouldbecontrolledwithin8oto12o,foreffectivelyimprovingthebearingcapacityofthenon-paralleldouble-rollerenvelopinghourglasswormgearing.Keywords:Hourglasswormgears;Loadsharing;Bearingcapacity;Finite-differencemethod①国家自然科学基金资助项目(5
8、0775190)和四川省自然科学基金资助项目(12Z
