斜齿轮成形磨削齿向修形齿面模型构造与误差评价

摘要/Abstract

摘要：

砂轮磨削带齿向修形的斜齿轮时，砂轮与齿轮之间的接触线时刻发生变化，其附加运动会使齿向一面产生“修形扭曲”，为此，提出一种高精度建立齿向修形齿面的方法。根据齿向修形原理，推导出成形磨齿的实际接触线方程；通过改变中心距的值，沿齿向得到多组接触线，使用NURBS曲面拟合，得到齿向修形齿面；对影响齿面精度的主要因素齿廓偏差和螺旋线偏差进行分析并提出误差评价模型。以鼓形修形斜齿轮为例，介绍齿向修形齿面构造全过程。磨齿实验验证了模型的准确性以及齿向修形齿面构造的高精度性。

关键词: 成形磨削, 斜齿轮, 修形扭曲, 齿面误差

Abstract:

When grinding of helical gears with tooth to tooth, contact lines changed all the time, the additional movement caused the tooth to produce “distortions of modification”. Based on the facts, this paper presented a high precision establishment method of tooth flank. Firstly, the actual contact line equation of form grinding was derived by the principles of tooth to tooth. Secondly, changing the center distance values, getting multiple sets of contact line along the tooth and NURBS surface fitting was used to get tooth flank of tooth surface. Thirdly, studying the main factors affecting the accuracy of tooth surface deviation of tooth profile and helix deviation and the evaluation model of tooth errors was proposed. Then, in a longitudinal case study of drum-shaped tooth helical gear, the tooth flank of the entire process was described. Finally, by grinding experiments the accuracy of error prediction and high accuracy of tooth surface were verified.

Key words: form grinding, helical gear;distortions of mending, tooth surface error

中图分类号:

TG61

汪中厚, 宋小明, 何伟铭, 李刚, 朱文敏, 耿直. 斜齿轮成形磨削齿向修形齿面模型构造与误差评价[J]. 中国机械工程, 2015, 26(21): 2841-2847.

Wang Zhonghou, Song Xiaoming, He Weiming, Li Gang, Zhu Wenmin, Geng Zhi. Tooth Surface Model Construction and Error Evaluation for Tooth-trace Modification of Helical Gear by Form Grinding[J]. China Mechanical Engineering, 2015, 26(21): 2841-2847.

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