Abstract
Inspired from some gears with heavy power transmission in practical usage after serious plastic deformation in metallurgical industry, we believe that there must existed some kind of gear profile which is most suitable in both the contact and bending fatigue strength. From careful analysis and deep going investigation, we think that it is the profile of equal conjugate curvature with high order of contact, and analyzed the forming principle of this kind of profile.Based on the second curve and comparative analysis of fourth order curves, combined with Chebyshev polynomial terms of higher order contact with tooth contact stress,formula derived.Note high exposure in the case of two extreme point of stress and extreme positions and the derived extreme contact stress formula.Finally, a pair of conjugate gear tooth profile curvature provides specific contact stress calculation.
Key word: gear stress contact of high-level
目 录
中文摘要 i
英文摘要 ii
目录 iii
第一章 绪论 1
1.1 概述 1
1.2 国内外的情况 2
第二章 高阶齿面啮合间隙分析 4
第三章 契贝谢夫多项式计算 6
3.1 契贝谢夫正交多项式定义 6
3.2 用契贝谢夫多项式求接触应力 6
3.3 相接触曲面用契贝谢夫多项式展开 7
3.4 压力分布用契贝谢夫多项式表示 8
3.5 总压力 9
3.6 与赫兹接触应力的对照 9
3.7 高阶接触 10
3.8 压力分布用契贝谢夫多项 11
3.9 选取材料进行初步 13
第四章 VB程序绘制二阶与四阶曲 14
第五章 二阶与四阶曲线系数关系及应力分布 18
第六章 相似法画齿形及其接触齿面应力分析 22
6.1 用相似法在范成仪上画出齿轮 22
6.2 接触齿面应力 22
参考文献 25
致谢 26
附件1 一对啮合齿廓的坐标图 27