Complex geometric modeling and tooth contact analysis of a helical face gear pair with arc-tooth

被引：4
作者：
Mo Shuai [1 ,2 ,3 ]
Song Wen-hao [1 ,2 ]
Zhu Sheng-ping [1 ,2 ]
Feng Zhi-you [1 ,2 ]
Tang Wen-jie [1 ,2 ]
Gao Han-jun [4 ]
机构：
[1] Tiangong Univ, Sch Mech Engn, Tianjin 300387, Peoples R China
[2] Tianjin Key Lab Modern Electromech Equipment Tech, Tianjin 300387, Peoples R China
[3] Huazhong Univ Sci & Technol, State Key Lab Digital Mfg Equipment & Technol, Wuhan 430074, Peoples R China
[4] Beijing Univ Aeronaut & Astronaut, State Key Lab Virtual Real Technol & Syst, Beijing 100083, Peoples R China
来源：
JOURNAL OF CENTRAL SOUTH UNIVERSITY | 2022年 / 29卷 / 04期
基金：
中国国家自然科学基金;
关键词：
arc-tooth face gear; complex geometric modeling; point clouds; mounting errors; tooth contact analysis; SURFACE; DESIGN; SIMULATION; MECHANISM; DRIVE; ERROR;
D O I：
10.1007/s11771-022-4988-7
中图分类号：
TF [冶金工业];
学科分类号：
0806 ;
摘要：
A complex geometric modeling method of a helical face gear pair with arc-tooth generated by an arc-profile cutting (APC) disc is proposed, and its tooth contact characteristics are analyzed. Firstly, the spatial coordinate system of an APC face gear pair is established based on meshing theory. Combining the coordinate transformation matrix and the tooth profile of the cutter, the equations of the curve envelope of the APC face gear pair are obtained. Then the surface equations are solved to extract the point clouds data by programming in MATLAB, which contains the work surface and the fillet surface of the APC face gear pair. And the complex geometric model of the APC face gear pair is built by fitting its point clouds. At last, through the analysis of the tooth surface contact, the sensitivity of the APC face gear to the different types of mounting errors is obtained. The results show that the APC face gear pair is the most sensitive to mounting errors in the tooth thickness direction, and it should be strictly controlled in the actual application.
引用
收藏
页码：1213 / 1225
页数：13
相关论文
共 32 条
[1]   Geometric modelling for cylindrical and helical gear pumps with circular are teeth [J].
Chen, CK ;
Yang, SC .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2000, 214 (04) :599-607
[2]   New method for calculating face gear tooth surface involving worm wheel installation errors [J].
Cui Wei ;
Tang Jin-yuan .
JOURNAL OF CENTRAL SOUTH UNIVERSITY, 2017, 24 (08) :1767-1778
[3]   Precise modeling of arc tooth face-gear with transition curve [J].
Cui Yanmei ;
Fang Zongde ;
Su Jinzhan ;
Feng Xianzhang ;
Peng Xianlong .
CHINESE JOURNAL OF AERONAUTICS, 2013, 26 (05) :1346-1351
[4]   An Ease-Off Based Method for Loaded Tooth Contact Analysis of Hypoid Gears Having Local and Global Surface Deviations [J].
Kolivand, M. ;
Kahraman, A. .
JOURNAL OF MECHANICAL DESIGN, 2010, 132 (07) :0710041-0710048
[5]   Influence comparisons of two version tooth profile modifications on face gear dynamic behaviors [J].
Li, Zhengminqing ;
Wang, Jing ;
Zhu, Rupeng .
JOURNAL OF VIBROENGINEERING, 2016, 18 (06) :3499-3511
[6]   Study on the compound transmission mechanism of the curve-face gear based on screw theory [J].
Lin, Chao ;
Wei, Yanqun ;
Cai, Zhiqin .
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2018, 232 (17) :3115-3124
[7]  
Litvin F.L., 2004, Gear geometry and applied theory, DOI 10.1017/CBO9780511547126
[8]   Computerized design, generation and simulation of meshing of orthogonal offset face-gear drive with a spur involute pinion with localized bearing contact [J].
Litvin, FL ;
Egelja, A ;
Tan, J ;
Heath, G .
MECHANISM AND MACHINE THEORY, 1998, 33 (1-2) :87-102
[9]   DESIGN AND GEOMETRY OF FACE-GEAR DRIVES [J].
LITVIN, FL ;
ZHANG, Y ;
WANG, JC ;
BOSSLER, RB ;
CHEN, YJD .
JOURNAL OF MECHANICAL DESIGN, 1992, 114 (04) :642-647
[10]   Transmission principle and geometrical model of eccentric face gear [J].
Liu, Dawei ;
Wang, Guohui ;
Ren, Tingzhi .
MECHANISM AND MACHINE THEORY, 2017, 109 :51-64
1234