等高齿对数螺旋锥齿轮共轭理论分析-机械电子工程专业论文.docxVIP

内蒙古 内蒙古科技大学硕士学位论文 kind of method to establish the discrete point conjugate tooth surface has good features, shape is more accurate, easier to tooth surface analysis and calculation. Along with the discretization of tooth surface formation, resolve conjugate surface theory can not meet the needs of the design, therefore, need to apply digital method based on the discrete form of conjugate surface, to establish digital model of conjugate surface. Based on the digitized method of conjugate surface and its solving principle, the traditional analytic conjugate theory, its characteristic is that regardless of the previous theory of conjugate curved surface of complicated derivation and the matrix transformation, applied only to the relationship between the structure framework of conjugate condition, using digital means, use the computer to help to solve the various problems in the theory of conjugate curved surface. This method not only can solve the problem of the conjugate calculation of digital surface, can also solve the problem of analytic conjugate curved surface of the calculation, which can realize the computation of overall \digital\ will make known to surface the coordinates of the points measured, conjugate curved surface to solve cohesion into close organic entirety. Key Words：logarithmic spiral bevel gear；Meshing principle；digitized conjugate； matlab III 目 录 摘 要 I AbstractII 1 绪论 1 1.1 课题研究背景 1 1.2 研究领域及其发展状况 2 1.2.1 齿轮啮合理论研究现状 2 1.2.2 对数螺旋锥齿轮啮合理论研究状况 5 1.3 论文主要研究内容 7 2 共轭原理及共轭齿形模型建立简介 9 2.1 主要编程软件 Matlab 简介 9 2.1 共轭曲面的定义 11 2.2 共轭曲面的啮合条件及接触线的确定 12 2.2.1 共轭曲面的啮合条件 12 2.2.2 接触线的确定 12 2.3 球面渐开线形成原理 13 3 精确共轭理论齿面计算与建模 17 3.1 对数螺旋锥齿轮建模概述 17 3.2 球面渐开线啮合的数学模型 18 3.2.1 球面渐开线锥表面的形成 18 3.2.2 对数螺旋锥齿轮齿面形成 21 3.3 球面渐开线对数螺旋锥齿轮理论齿面计算 22 3.3.1 对滚切面进行变换矩阵 22 3.3.2.极坐标到直角坐标的转化 23 3.3.3.编程过程 24 3.3.4 齿面坐标点 25 3.4 对数螺旋锥齿轮建模实例 26 3.4.1Pro/e 简介 27 3.4.2 逆向工程技术 27 3.4.3 建模过程 27 3.4 本章小结 34 4 离散化共轭求解 36 4.1 包络原理的概念 36 4.1.1 平面曲线族的包络 36 4.1.2 曲线族的包络 3