Bertrand共轭曲面基本原理研究  

Study of basic principle of Bertrand conjugate surfaces

作　　者：刘健[1] 陈厚军[1] 段振云[2] 吴宏基[1] 

机构地区：[1]大连理工大学机械工程学院,辽宁大连116024 [2]沈阳工业大学机械工程学院,辽宁沈阳110023

出　　处：《大连理工大学学报》2006年第2期212-219,共8页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(50275017)

摘　　要：通过对回转面、可展面、法向圆弧曲面等工程常用曲面“沿母线法线共面”这一共性特征的提炼与升华,提出B ertrand曲面的概念,并研究了其性质.作为在高副传动领域的应用与延伸,研究了B ertrand共轭原理,其基本特征是一对B ertrand曲面在共轭的各瞬时接触线均为母线.将B ertrand共轭按母线分为3种典型类型,分别给出共轭的基本条件.为了研究共轭条件的相容性,给出了反映各类共轭传动形式与准线特征的结构条件,并在此基础上建立共轭的微分关系式.这些研究为B ertrand共轭原理向工程转化奠定了基础.The concept of Bertrand surface is presented by abstracting and subliming the common characteristics of the usual surfaces, including rotational surface, developable surface, normal circular-arc surface, etc. , namely, the normals along the generator are coplanar. On the basis of this, its properties are researched. As a kind of application in the field of higher-pair gear transmission, Bertrand conjugate principle is studied and its basic characteristic is that the instantaneous contact line between a pair of Bertrand conjugate surfaces is the generator. It can be divided into three kinds of typical conjugations in terms of the generators, and their basic conjugate conditions are given, respectively. In order to examine the consistency of the conjugate conditions, the structure conditions reflecting transmission forms and the characteristics of the directrix are presented, and the differential expression of Bertrand conjugation is also set up. These researches establish the foundation for transforming the Bertrand conjugate principle to the engineering application.

关 键 词：Bertrand 共轭曲面原理 机械传动 

分 类 号：TH132.421[机械工程—机械制造及自动化]