• CN:11-2187/TH
  • ISSN:0577-6686

›› 1982, Vol. 18 ›› Issue (2): 1-11.

• 论文 •    下一篇

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研究三维空间螺旋齿轮啮合的新方法——用空间媒介齿条法求空间啮合的基本公式

姚南珣   

  1. 大连工学院
  • 发布日期:1982-03-01

A NEW METHOD FOR INVESTGATION ON THE CONJUGATION OF HELICAL GEARS IN THREE DIMENSIONAL SPACE-TO PRODUCE THE BASIC FORMULAE OF CONJUATION SPACE BY MEANS OF MEDIUM PACK IN SPACE

Yao Nanxun   

  1. Dalian Institute of Technology
  • Published:1982-03-01

摘要: 利用投影齿条概念,本文提出了一种能简便地,直观地研究空间螺旋齿轮啮合的新方法——空间媒介齿条法。文中介绍了空间媒介齿条法的基本原理,并用以建立了形式比较简单的如求共轭曲面、啮合线等空间啮合常用的基本公式。文中把螺旋齿轮的啮合区分为正常啮合与非正常啮合两种情况,运用所提出的方法发现了在正常啮合情况下螺旋齿轮的啮合线是一条平面曲线的重要规律。这条啮合线位于通过“节点”的齿形法向截面内,说明螺旋齿轮的空间啮合是在法向截面中进行的,也说明了空间啮合与平面啮合有着极为相似的特点。文中也讨论了非正常啮合时螺旋齿轮啮合的特点。文中用所得的空间螺旋齿轮啮合的结论,评价了生产中常用的近似方法。发现在一般情况下轴向近似法较法向近似法的近似精度高。并指出了法向近似法使用精度高的特例。本文讨论的螺旋齿轮是任意齿形的。本文提供了螺旋齿轮加工的理论基础。

Abstract: By means of the conception of projection rack, this paper presents a new simple and comprehensive method for investigation on the conjugation of helical gears in space-The Method of Medium Rack in Space. In this paper the fundamental principle of the Method of Medium Rack in Space is introduced. And by means of this method, the general basic formulae of conjugation in space (such as the formula of the conjugate curved surface,the formula of the path of contact etc) are produced in a simple form.In this paper, the conjugation of helical gears is classified into two cases-the normal conjugation and the non-normal conjugation. By means of the method, developed, an important rule has been discovered, that is, "In the case of normal conjugation, the path of contact of helical gears is a plane curve", This path of contact lies in the normal section of the gears and passes throagh the "pitch point". It means that the conjugation of helical gears in space takes place in the normal section, and the character of the conjugation in space is very similar to the conjugation in plane, In this paper, the character of non-normal conjagation of helical gears is also discussed.The helical gears discussed in this paper are of any tooth form.The method developed in this paper provides the theoretical basis for cutting helical gears.