• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2015, Vol. 51 ›› Issue (7): 77-84.doi: 10.3901/JME.2015.07.077

• 机构学及机器人学 • 上一篇    下一篇

基于非特征分块插值技术的准双曲面齿轮数字化真实齿面建模方法

李刚 汪中厚 耿直 朱文敏   

  1. 上海理工大学机械工程学院
  • 出版日期:2015-04-05 发布日期:2015-04-05
  • 基金资助:
    国家自然科学基金资助项目(51075279)

Modeling Approach of Digital Real Tooth Surfaces of Hypoid Gears Based on Non-geometric-feature Segmentation and Interpolation Algorithm

LI Gang, WANG Zhonghou, GENG Zhi, ZHU Wenmin   

  1. School of Mechanical Engineering, University of Shanghai for Science and Technology
  • Online:2015-04-05 Published:2015-04-05

摘要: 针对含磨损情况的准双曲面齿轮真实齿面数字化模型构造问题,提出基于非特征分块插值技术的准双曲面齿轮数字化齿面构造方法。基于非特征的离散数据分块技术对三坐标测量仪测量获得的真实齿面离散数据进行分块,判断出的齿面磨损区域。再结合插值改进算法对齿面磨损区域进行局部插值。对传统离散数据点光顺算法进行改进,提高插值构造齿面的光顺性。通过实例比较,本方法不仅减少插值算法计算量,提高齿面插值数据点的精度,改善数字化齿面的光顺性。为含磨损情况的准双曲面齿轮动态性能预测打下基础。

关键词: 冲击载荷, 多股簧, 非线性振动, 摄动法

Abstract: A modeling approach of digital real tooth surfaces of hypoid gears based on non-geometric-feature segmentation and interpolation algorithm aiming at hypoid gears with wear of tooth surfaces is proposed. Above of all, the discrete data of real tooth surfaces, which are measured by 3D coordinate-measure-machine, is segmented by segmentation based non-geometric-feature. The wear areas of tooth surfaces are identified. In addition, a revised interpolation algorithm is applied to interpolation partial tooth surfaces. Finally, on the basis of traditional fairing algorithm for scattered point data, the revised fairing algorithm is proposed. By comparing the instance, this method not only reduces the amount of interpolation algorithm calculation, but also improves the accuracy of interpolation data points, and improved the smoothness of digital gear tooth surfaces. The digitization construction of real tooth surfaces of hypoid gears with wear lays the foundation for its dynamic performance prediction.

Key words: hypoid gears, interpolation algorithm, segmentation based on non-geometric-feature, wear of tooth surface

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