共轭曲线齿轮啮合管齿面的几何及接触特性分析
Analysis on Geometric and Contact Characteristics of Tubular Meshing Tooth Surfaces for Conjugate？？Curve Gears

在已有共轭曲线齿轮研究的基础上,对一种新型高性能共轭曲线齿面――啮合管齿面的几何及接触特性进行了分析。基于空间曲线三棱形模型定义了啮合管齿面压力角,并讨论了该压力角对轮齿齿廓及啮合等的影响;利用齿轮几何学原理分析了啮合管齿面不发生根切的一般条件,概述了啮合管齿面诱导法曲率及诱导短程挠率的一般计算方法;提出了新型啮合管齿面避免啮合及曲率干涉的理论及方法;综合考虑齿面啮合的特点及常规方法的复杂性,提出了一种基于共轭曲线计算啮合管齿面滑动率的方法,并论证了啮合管齿面啮合具有共轭继承性,揭示了齿面啮合的本质及规律。研究结果表明,该啮合管齿面具有优良的几何及接触特性。
Based on the existing research of conjugate？？curve gears, geometric and contact characteristics analysis on a new type of conjugate tooth surface named tubular meshing tooth surface is carried out. Pressure angle of tubular meshing tooth surfaces is defined in terms of a space curve trihedron model, and the effects of this pressure angle on the tooth profile and contact strength are discussed. According to gear geometry, the non？？undercutting conditions of tooth surfaces are discussed and the calculation methods of induced normal curvature and torsion are proposed. The theoretical descriptions for avoiding meshing and curvature interference are given. Considering the contact characteristics and the complexity of conventional methods, a new approach to the calculation of sliding ratio of conjugate？？curve gear pair based on conjugate curves is provided. The conjugate successive property of tubular tooth surfaces is demonstrated, and the nature and rule of tooth surfaces meshing are revealed. The research results show that the tubular meshing tooth surfaces have good geometric and contact characteristics