圆弧齿廓圆弧齿线圆柱齿轮建模及承载能力分析  

MODELING AND CARRYING CAPACITY ANALYSIS OF CIRCULAR ARC TOOTH PROFILE CIRCULAR ARC TOOTH LINE CYLINDRICAL GEAR

作　　者：姜碧琼[1] 任重义[1] 段建中[1] 郭学东[1] JIANG BiQiong;REN ZhongYi;DUAN JianZhong;GUO XueDong(School of Mechanical Engineering,Ningxia University,Ningxia 750021,China)

机构地区：[1]宁夏大学机械工程学院,银川750021

出　　处：《机械强度》2022年第3期742-746,共5页Journal of Mechanical Strength

基　　金：宁夏自然科学基金项目(2019AAC03025)资助。

摘　　要：圆弧齿线圆柱齿轮是一种采用标准圆弧齿廓刀齿及铣刀盘加工的具有凸凹形曲线齿圆柱齿轮。这种齿轮的齿线为圆弧,且具有关于齿宽中央截面对称的特点。根据弧齿锥齿轮的铣齿加工原理,建立了圆弧齿廓圆弧齿线圆柱齿轮齿面数学模型,并依此建立了双圆弧齿廓及四圆弧齿廓圆弧齿线圆柱齿轮三维实体模型。最后利用有限元分析软件对齿轮进行了接触应力分析,得到了齿面接触应力云图,结果显示四圆弧齿轮的齿面接触应力约为双圆弧齿轮的80%。研究结果可为圆弧齿廓圆弧齿线圆柱齿轮的设计应用提供理论依据。Circular arc tooth line cylindrical gear is a kind of cylindrical gear with convex and concave curve teeth which is processed by spiral bevel gear milling machine. The tooth line of this kind of gear is circular arc, and has the characteristics of symmetry about the central section of tooth width. The mathematical model of circular arc tooth profile circular arc tooth line cylindrical gear is established according to spiral bevel gear milling principle, and the 3 D solid model of double-arc tooth profile gear and quadruple-arc tooth profile gear is established according to the gear mathematical model. Finally, the contact stress analysis of the gear is carried out by using the finite element analysis software, and the static contact stress are obtained, the contact stress of quadruple-arc tooth profile gear is about 80% of the double-arc tooth profile gear. The research results can provide a theoretical basis for the design and application of circular arc tooth profile circular arc tooth line cylindrical gear.

关 键 词：圆弧齿廓齿轮 圆弧齿线齿轮 有限元法 接触应力 

分 类 号：TH132.41[机械工程—机械制造及自动化]