﻿ 斜齿轮对角修形设计研究
 舰船科学技术  2018, Vol. 40 Issue (1): 135-138 PDF

Research on the design of triangular end modification on helical gear
JIA Hai-tao, SHAO Gang, LUAN Sheng-gang
The 703 Research Institute of CSIC, Harbin 150078, China
Abstract: Gear Triangular end modification is a kind of three-dimensional modification, and change smaller on Helical gear face compare to lead modification and profile modification. Due to triangular end modification keep more area on load gear face, it can significantly reduce contact stress and transmission error when properly selected. Base on the theory of triangular end modification, this report first bring forward the key of design triangular end modification. This report analyses the ship gearbox performance by use the method for instance. This research can guiding the design of Triangular end modification on helical gear.
Key words: gear modification     3D modification     triangular end modification     transmission error
0 引 言

1 对角修形的基本原理

 图 1 常规修形与对角修形示意图 Fig. 1 General modification and triangular end modification sketch map
2 对角修形的基本原理

3 建立对角修形模型

 图 2 对角修形齿轮模型 Fig. 2 Triangular end modification model

 图 3 对角修形齿面网格划分 Fig. 3 Triangular end modification face gridding
4 斜齿轮对角修形设计要点

1）修形边界线平行于齿轮接触线

 ${{{L}}_{{{Ea}}}}\left( {{{{L}}_{{{Ef}}}}} \right){\rm{ = }}{{{b}}_{{{Ea}}}}\left( {{{{b}}_{{{Ef}}}}} \right) \times {\rm{tan}}\left( {{{\rm{\beta }}_{{b}}}} \right),$ (1)

2）同时啮合齿个数基本保持不变

3）齿轮副传动误差较小

5 算例分析

 图 4 齿轮有限元模型 Fig. 4 Gear FEA modle

 图 5 修形前后齿面接触印痕 Fig. 5 Gear contact chart before and after flank modification

 图 6 修形前后齿面接触载荷随时间变化 Fig. 6 Gear contact stress before and after flank modification

 图 7 修形前后传动误差 Fig. 7 Transmission error before and after flank
6 结　语

1）经适量的对角修形，可明显减小斜齿轮的齿面接触应力和传动误差。

2）考虑到齿轮箱加工误差，建议在对角修形的基础上可适当附加其他修形方式，以进一步改善齿轮啮合。

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