Geometric Modeling and Motion Simulation of the General Spatial Involute Gearing

• Main Authors: Cheng-Lung Lee, 李乘龍
• Other Authors: Chintien Huang
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/02524636224580811316

碩士 === 國立成功大學 === 機械工程學系碩博士班 === 96 === Planar involute gears are widely used in industry because they are easy to manufacture and insensitive to assembly errors. Even though involute gears have such unique characteristic, the axes of gear pairs must be assembled parallel. In 2000, Dr. Jack Phillips proposed a new spatial involute curve and discovered spatial involute surfaces for designing the general spatial involute gears, which can be used in skew-axis transmission applications. However, his development of the general spatial involute gears is mainly based on geometric constructions. In this thesis, we seek to build solid models of the general spatial involute gears in CAD systems and investigate the process of designing a spatial involute gear pairs and its conjugate rack. This thesis discusses the following. First, we use the condition of inference and the concept of wildhabor cone to design the addendum circle. Second, we use TCA technique to obtain the relationship between the slip track and the angle of action, which then leads to the calculation of contact ratios. We can then design the tooth face width and the numbers of teeth based on contact ratios. Third, we locate the position and direction of the rack that is conjugate to a spatial involute gear, and we use TCA technique to investigate the boundary of the rack plane. Finally, we build the models of spatial involute gears and its conjugate rack in CAD systems and demonstrate that spatial involute gears are indeed insensitive to assembly errors This thesis provides mathematical and geometrical methods for the construction of solid models of the general spatial involute gears. We have demonstrated that the process presented in this thesis is helpful in designing the general spatial involute gears.