线面对构齿轮啮合原理  

Principle of Geometric Elements Constructed Tooth Pairs with Curve-surface Mesh

作　　者：彭帅 陈兵奎[2] PENG Shuai;CHEN Bingkui(College of Mechanical and Electrical Engineering,Chongqing University of Arts and Sciences,Chongqing,402160;State Key Laboratory of Mechanical Transmissions,Chongqing University,Chongqing,400044)

机构地区：[1]重庆文理学院机电工程学院,重庆402160 [2]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《中国机械工程》2020年第8期937-943,共7页China Mechanical Engineering

基　　金：重庆文理学院校级科研项目(Y2018JD29);重庆文理学院人才引进项目(R2018SJD18)。

摘　　要：根据曲线和曲面两种几何元素的接触特点,提出了线面对构齿轮啮合原理。定义了线面接触与线面啮合的概念,给出了线面啮合运动三要素;建立了线面啮合基本理论,得到与已知曲面相啮合的共轭曲线方程的通用表达式;通过在曲线每一点处的法平面上建立截面齿廓,进而构建连续曲面。以平行轴内啮合渐开线齿轮为例,通过在渐开线内齿轮齿面上选取接触曲线,构建新的线面啮合齿轮副,分析了线面啮合齿轮啮合过程的一般规律。研究结果表明,根据线面啮合原理,通过选取合适的几何参数,可以构建出一对正确啮合的点接触齿轮。该原理为齿轮齿面构建提供了新方法。According to the contact characteristics of curve and surface,the principle of geometric elements constructed tooth pairs with curve-surface mesh for gear transmissions was put forward.The concepts of curve-surface contact and curve-surface mesh were provided and three key elements for curve-surface mesh were given.The fundamental principle of curve-surface mesh was presented.The corresponding conjugated curve was also deduced.By establishing a cross section profile on normal plane of every point of the curve,the tooth surface was constructed.Taking an internal helical gear of parallel-axis as an example,a new gear pair with curve-surface mesh was established by selecting a contact path on the internal helical gear and the general law for the mesh processes of the gear pair was analyzed.The results reveal that based on the principle of curve-surface mesh,a gear pair with point contact may be obtained by choosing appropriate design parameters.The principle of curve-surface mesh provides a method for the generation of tooth surfaces.

关 键 词：对构齿轮传动 线面啮合 接触曲线 啮合方程 齿面成形 

分 类 号：TH132.429[机械工程—机械制造及自动化]