摘要
定义曲线与曲面共轭啮合的概念,即给定运动的两构件上的一条光滑曲线和一个光滑曲面始终保持连续相切接触,并给出由共轭啮合副齿面形成曲线与曲面共轭啮合的一般方法,在共轭啮合副的一个齿面上构建啮合管齿面与另一齿面相啮和;提出以适当半径的球体沿啮合曲线的指定等距线包络出管状曲面的齿面构建新方法,推导啮合管齿面方程、接触曲线方程等,给出啮合曲线选取的条件以及啮合管齿面半径的选取范围,从而建立以啮合曲线为脊线构建管状共轭齿面的理论;以摆线针轮行星传动为例,构建针齿螺旋管齿面,讨论线面共轭摆线针轮行星传动的特性;分析表明,线面共轭具有点接触特性,通过构建合适的线面共轭啮合副,可获得近似纯滚动啮合,齿面滑动率小,传动效率高。
The concept of curve-surface conjugated meshing is defined as that a smooth curve always maintaining continuous and tangent contact with a smooth surface on two bodies with given motions respectively.A general method which generates the conjugated meshing curve-surface by the engagement pair with the conjugate tooth surfaces is presented.A tubular surface is generated which conjugated contact with its conjugated tooth surfaces.A new tooth profile generation method is proposed.The tubular enveloping surface is generated by a sphere with an appropriate radius following a given equidistant-curve of the meshing curve;the equations of the tubular surface and the contact curves are derived;the conditions of the conjugated curves and the radii of the conjugated surfaces are presented.Based on this method and the theoretical derivations,the forming theory of the tubular conjugate tooth surfaces regarding the conjugate curve as the ridge line is established.An application for the cycloid planetary transmission is presented.The helical tube tooth profile of cylindrical pin tooth is constructed and the characteristics of curve-surface conjugated cycloid planetary transmission are discussed.The results show that the curve-surface conjugated has the property of point-contact.The nearly pure rolling engagement can be obtained by applying appropriate cure-surface conjugated pair which has the small sliding ratio and the high transmission efficiency.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2012年第19期17-22,共6页
Journal of Mechanical Engineering
基金
国家科技支撑计划资助项目(2011BAF09B07)
关键词
齿轮啮合原理
线面共轭
啮合管齿面
摆线针轮行星传动
Gear geometry Curve-surface conjugated Tubular tooth profile Cycloid planetary transmission
