B-Spline齒形之研究

• Main Author: 蘇德修
• Other Authors: 張慧隆
• Format: Others
• Language: zh-TW
• Published: 2004
• Online Access: http://ndltd.ncl.edu.tw/handle/11080705267296586897

碩士 === 國立高雄應用科技大學 === 模具工程系碩士班 === 92 === The purpose of this research is to design the tooth profile by using B-Spline curve, and to investigate geometric properties and meshing characteristics of the conjugate tooth profiles. Firstly the tooth geometric tooth profiles of the rack cutter are defined by the specified control points, the order of spline function and knot vectors. Then using the meshing theory and coordinate matrix transformation, the mathematical models of the generated conjugate tooth profiles are derived. Finally the geometric properties and meshing characteristics are explored by the theories of differential geometry and kinematics. By the multi degrees of freedoms of the design parameters that are the control points, order of spline functions and knot vectors, is used to study the variation of tooth geometries and meshing characteristics such as pressure angle, specific sliding, contact ratio and relative curvature, etc. A computer program is developed for the design and analysis of B-Spline tooth profiles that can be used for the creation of 3D solid model. It is hoped that the 3D solid model can be applied for manufacture by CAM software and the analysis and motion simulation with CAE software.