CAJ | 학술논문

针对渐开线少齿数齿轮副强度较弱的问题，以平面渐开线少齿数齿轮副为研究对象，以增强小齿轮轮齿弯曲强度并使大小齿轮具有相同或接近的弯曲强度为设计条件，对渐开线少齿数齿轮副大小齿轮的径向变位系数和切向变位系数的选择进行了研究。通过对齿轮副轮齿最大弯曲应力的分析，推导出大小齿轮径向变位系数和切向变位系数应满足一定的函数关系。径向变位系数的选择需要考虑轮齿根切和齿轮副无侧隙啮合两方面因素，即小齿轮的径向变位系数应满足避免根切的条件，而齿轮副径向变位系数之和要满足一定函数关系。切向变位系数的选择需要考虑切向变位对大小齿轮啮合情况与弯曲强度的相互影响，小齿轮切向变位过大会使大齿轮的齿厚过小，削弱大齿轮的弯曲强度，同时有可能引起小齿轮齿根齿廓干涉。对于齿数、模数确定的少齿数齿轮副，以大小齿轮径向变位系数和切向变位系数应满足的各个函数条件为依据，通过建立变位系数的数学模型，可以获得轮齿副等弯曲强度条件下大小齿轮径向和切向变位系数的最佳组合。
침대점개선소치수치륜부강도교약적문제，이평면점개선소치수치륜부위연구대상，이증강소치륜륜치만곡강도병사대소치륜구유상동혹접근적만곡강도위설계조건，대점개선소치수치륜부대소치륜적경향변위계수화절향변위계수적선택진행료연구。통과대치륜부륜치최대만곡응력적분석，추도출대소치륜경향변위계수화절향변위계수응만족일정적함수관계。경향변위계수적선택수요고필륜치근절화치륜부무측극교합량방면인소，즉소치륜적경향변위계수응만족피면근절적조건，이치륜부경향변위계수지화요만족일정함수관계。절향변위계수적선택수요고필절향변위대대소치륜교합정황여만곡강도적상호영향，소치륜절향변위과대회사대치륜적치후과소，삭약대치륜적만곡강도，동시유가능인기소치륜치근치곽간섭。대우치수、모수학정적소치수치륜부，이대소치륜경향변위계수화절향변위계수응만족적각개함수조건위의거，통과건립변위계수적수학모형，가이획득륜치부등만곡강도조건하대소치륜경향화절향변위계수적최가조합。
To solve the problem of the weak strength of involute gear pair with fewer teeth,research is doneon the selection of its addendum modification coefficient and tangent modification coefficient,taking the planar involute gear pair with fewer teeth as the research object with the designing intention of enhancing the bending strength of pin-ion and obtaining the same or approximately bending strength of gear pair. By the analyzing the maximum bending stress of gear pair,it is deduced that addendum modification coefficient and tangent modification coefficient of gear pair should be related functionally. Two factors must be considered for the selection of addendum modification coeffi-cient,i. e. undercut and no lateral clearance meshing. Theaddendum modification coefficient of pinion must meet the condition that undercut is avoided,and the sum of addendum modification coefficients of gear pair must be in a cer-tain functional relation. The selection of tangent modification coefficient need to consider the mutual influence be-tween tangent modification and meshing of gear pair and bending strength. If the tangent modification coefficient of the pinion is excessively big,the tooth thickness of gearwheel will be reduced,its bending strength be weakened, and the tooth profile and root of the pinion be interfered. According to the above conditions,for involute gear pair with fewer teeth with ascertained tooth number and modulus,the optimum modification coefficients are found based on equal bending strength through establishing the mathematical model for solving the modification coefficients.