少齿数齿轮变位系数的研究  

Study of modification coefficients of gear with fewer teeth

作　　者：赵向飞[1,2] 田燕[3] 刘红旗 张杰[2] 

机构地区：[1]机械科学研究院,北京100044 [2]北京科技大学机械工程学院,北京100083 [3]南阳师范学院计算机与信息技术学院,河南南阳473061

出　　处：《合肥工业大学学报（自然科学版）》2013年第6期655-659,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家科技支撑计划资助项目(2012BAH32F05);河南省基础与前沿技术研究资助项目(122300410306;112300410235)

摘　　要：文章对标准滚刀在最小变位系数下加工少齿数配对齿轮的齿顶厚和重合度进行了计算,推导了滚刀刀顶圆角半径与变位系数的关系,通过Ansys的APDL语言对根切和变位齿轮进行了参数化有限元建模及齿根弯曲应力分析。结果表明:采用标准滚刀选择避免根切的最小变位系数,使部分少齿数配对齿轮的重合度变小和齿顶厚变薄,无法满足使用要求;而增大滚刀刀顶圆角后的最小变位系数,既可避免根切保证较高的齿根强度,又能使重合度达到1.2和齿顶厚大于0.25m。The crest width and contact ratio of the pair of gears with fewer teeth, which were generated by standard hob, were calculated under the minimum modification coefficient. The relationship be- tween the modification coefficient and the tip fillet radius was derived. Parametric finite element mod- els of undercut gears and modified gears were founded by APDL language of Ansys to analyze the tooth root bending stress. The results show that the minimum modification coefficients, chosen by standard hob to avoid undercutting, make contact ratio become smaller or crest width become thinner, which can not meet the application requirements; while the minimum modification coefficients, which are calculated through increasing hob tip fillet, can avoid undercutting to improve the tooth root bending strength and make contact ratio reach 1.2 and crest width greater than 0. 25 m.

关 键 词：变位系数 齿顶厚 重合度 滚刀刀顶圆角 弯曲应力 

分 类 号：TH132.413[机械工程—机械制造及自动化]