论文部分内容阅读
这里提供了一种研究直齿,斜齿锥齿轮切齿中的啮合分析方法,它是〔1〕、〔2〕的推广和深化。这种方法将作相对运动的一对共轭齿廓加以分离,齿廓及其节锥面划归为一组,分解为两组对象,然后按照啮合条件讨论一个组的节锥面与齿曲面的关系,我们将这个关系转化为几何学中的正射影变换。这样便避免了求相对运动的冗长运算,由于借助于几何思维,推导和结论也较为形象,简洁。我们用这种方法讨论了按平顶产形轮原理切削直齿的情形,得到了刀具齿廓的 (i)满足啮合条件的判别法: (ii)接触线的形态及其分布规律; (iii)第二类界限点〔3〕,共轭界线曲线〔4〕、边界线等存在的条件、形态、位置。结果表明这三者两两不等价且都不是接触线族的包络〔5〕。
Here is a study of spur, bevel gear bevel gear meshing analysis method, which is [1], [2] the promotion and deepening. This method separates a pair of conjugate tooth profiles that move relative to each other. The tooth profiles and their conic sections are grouped into two groups and then divided into two groups of objects. Then, the mesh conic and tooth surfaces of a group are discussed , We translate this relationship into a positive projective transformation in geometry. In this way, the lengthy calculation of seeking relative motion is avoided. Because of the help of geometric thinking, the derivation and conclusion are more vivid and concise. In this method, we discuss the case of cutting straight teeth according to the principle of flat top rollers and obtain the tooth profile of the cutter (i) the judgment method of satisfying the meshing conditions: (ii) the shape of the contact line and its distribution; (iii) ) The second boundary point [3], the conjugate boundary curve 〔4〕, the boundary line exist conditions, forms, positions. The results show that these three are not equivalent and are not touching the line envelope [5].