移动基圆变齿厚直齿轮及其齿面方程与接触分析  

Base Circle Moved Beveloid Gear and Its Tooth Surface Equations and Contact Analysis

作　　者：陈小安[1] 张志强[1] 秦伟[1] 陈宏[1] 吕俊峰[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400030

出　　处：《机械科学与技术》2012年第9期1395-1400,共6页Mechanical Science and Technology for Aerospace Engineering

基　　金：国家自然科学基金项目(51075407);重庆市自然科学重点基金项目(CSTC;2009BA3020)资助

摘　　要：现有变厚齿轮通过改变变位系数产生变厚齿廓,其齿廓在齿长方向的任意截面上都是同一渐开线的不同曲线段,使得齿轮在轴向上具有一定锥度。本文中研究了一种通过移动基圆而形成的变齿厚齿轮,在齿向上具有相同的齿高,其齿廓在齿长方向的任意截面上都是相同的一段渐开线,解决了普通变齿厚齿轮在调隙过程中可能产生的干涉。论文中推导了该种变齿厚直齿轮的齿面方程,方程中的参量θ决定了变厚齿的变厚量。其次利用Matlab生成齿面的离散数据,将其导入Pro/E中建立变齿厚直齿轮的精确几何模型;据此制作了变厚齿轮样件,验证了齿面方程的正确性。最后推导了变齿厚齿轮传动副齿面的接触模型,利用Matlab计算了瞬时接触点及接触线。Current beveloid gears＇ tooth thickness variation is achieved by changing modification coefficient, so the intersecting lines between the tooth profile and any arbitrary cross section perpendicular to the gear＇s axis are differ- ent segments of the same involute, which leads to the gear producing a certain conical degree along the gear＇s axial direction. A new base circle moved heveloid gear （BCMBG） is presented in this paper, which is realized through moving the base circle. BCMBG has the same tooth depth in the tooth direction and the intersecting lines between the tooth profile and any arbitrary cross section perpendicular to the gear＇s axis are the same segment of an involute, eliminating the possible interference in the clearance adjusting process of conventional beveloid gears. Firstly, tooth surface equations of the new beveloid gear are derived, in which parameter θ determines tooth thickness＇s variation quantity. In addition, the discrete data is obtained by using Matlab and then imported into Pro/E to establish the beveloid gear＇s accurate geometric model, according to which the prototype of the proposed beveloid gear is made to verify the tooth surface equations. Finally, the contact model of the heveloid gear＇s tooth surface at the transmission pair is constructed, and the transient contact points and contact lines are calculated with Matlab.

关 键 词：变齿厚齿轮 移动基圆 齿面方程 接触分析 

分 类 号：TH132.413[机械工程—机械制造及自动化]