Mathematical Model and Contact Analysis of Spherical Gears

• Main Authors: Zhao Li-Chi, 趙立��
• Other Authors: Tsay Chung-Biau
• Format: Others
• Language: zh-TW
• Online Access: http://ndltd.ncl.edu.tw/handle/34708337159286936009

碩士 === 國立交通大學 === 機械工程系所 === 93 === The spherical gears have a characteristic what can tolerate the perpendicular axes misalignment. It’s like the bevel gears. There were many scholars haven proceeded some studies and built some good results. Although the techniques of manufacture the spherical gears had been developed. But the research do not proceed about the spherical gears. Therefore, if we can build the mathematical model of spherical gears then we can start some analysis about spherical gears. For this reason, we can understand some characteristics and limit of used about spherical gears further. In this thesis, we will according to the theory of gears and the mechanism of cutting to develop the mathematical model of spherical gears. Then, we will follow this mathematical model of spherical gears to proceed the computer analysis. Those are about: undercutting analysis of spherical gears, teeth contact analysis (TCA) and contact pattern analysis of spherical gears. The undercutting analysis probe the position of undercutting line and the spherical angle of spherical gears. Teeth contact analysis probe the kinematic error and the position of contact point of spherical gears with misalignment and ideal case. Another contact pattern analysis probe the positions and size of contact pattern of spherical gears.