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Three-dimension Mathematical Modeling Method for HFT Hypoid Gear
Author(s): LIU Cheng, SHI Wenku, CHEN Zhiyong, HE Wei, RONG Rusong, SONG Huailan, CAO Pu
Pages: 132-
139
Year: 2016
Issue:
6
Journal: Journal of Sichuan University(Engineering Science Edition)
Keyword: hypoid gear; meshing mean points; tooth surface coordinates; 3D models;
Abstract: 针对HFT准双曲面齿轮齿面坐标难以获取的问题,提出一种基于MATLAB的齿面数学模型建模方法,并且可以自动计算齿面坐标.首先根据Gleason机床建立从刀具到工件坐标变换矩阵,接着根据齿轮机床加工参数和齿胚参数建立齿面坐标求解方程,然后依据齿轮加工原理得到齿轮啮合中点估计值,以此点作为初始值求解齿面上其他点坐标,最后建立HFT式准双曲面齿轮齿面坐标求解程序SURFACE.为验证所提出方法,以某汽车准双曲面齿轮为例得到齿轮齿面坐标,导入到CATIA软件中得到齿轮组3维模型,对比所建立模型与实际齿轮面之间差异,可以看出所建立齿面与实际齿面差异较小,此方法可应用到此类齿轮的求解.
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