摘要
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.
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.
出处
《天津大学学报（自然科学与工程技术版）》
EI
CAS
CSCD
北大核心
2014年第11期1001-1007,共7页
Journal of Tianjin University：Science and Technology
基金
国家自然科学基金资助项目(51175369)
关键词
齿轮
少齿数齿轮副
弯曲强度
变位系数
gear
gear pair with fewer teeth
bending strength
modification coefficient
作者简介
孙月海（1964-）,男,博士,教授.yuehaisun@tju.edu.cn.
