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 錄
中文摘要 i
英文摘要 ii
目錄 iii
第一章 緒論 1
1.1 概述 1
1.2 國內外的情況 2
第二章 高階齒面嚙合間隙分析 4
第三章 契貝謝夫多項式計算 6
3.1 契貝謝夫正交多項式定義 6
3.2 用契貝謝夫多項式求接觸應力 6
3.3 相接觸曲面用契貝謝夫多項式展開 7
3.4 壓力分布用契貝謝夫多項式表示 8
3.5 總壓力 9
3.6 與赫茲接觸應力的對照 9
3.7 高階接觸 10
3.8 壓力分布用契貝謝夫多項 11
3.9 選取材料進行初步 13
第四章 VB程序繪制二階與四階曲 14
第五章 二階與四階曲線系數關系及應力分布 18
第六章 相似法畫齒形及其接觸齒面應力分析 22
6.1 用相似法在范成儀上畫出齒輪 22
6.2 接觸齒面應力 22
參考文獻 25
致謝 26
附件1 一對嚙合齒廓的坐標圖 27