Papers by Keyword: Profile Surface Equation

Abstract: The contact characteristics of spherical gear and ring-rack are researched in this paper. First, the tooth profile surface equation of spherical gear is established on the basis of the transmission theory of spherical gears. After that, the profile surface equation of ring-rack is established. Then, kinematics of the transmission of spherical gear and ring-rack is researched, the appreciate coordinates are established, and the profile surfaces of spherical gear and ring-rack are described in the same coordinate. Then, the contact analysis is conducted between spherical gear and ring-rack, and the contact point and ellipse parameters are acquired, as well as the rules of their evolvements. The conclusions above are benefit to further research on the transmission of spherical gear and ring-rack.

Abstract: This paper presents a new type of globoidal indexing cam mechanism with steel ball. The characteristic of this mechanism has double circular arc section for cam raceway. Due to this kind of cam raceway section the mechanism can realize approximate rolling transmission. According to rotary transform tensor theory profile surface equation of globoidal cam is established. Meshing equation is built through meshing theory, and profile surface equation is determined by meshing equation. Based on profile surface equation 3D geometric model for globoidal cam is established. MATLAB software is used to calculate three-dimensional coordinate points, these coordinate points are imported into Pro/E software, and finally 3D model for globoidal cam is established by three-dimensional modeling function of Pro/E software. Pressure angle equation of globoidal cam is also established. On the condition that the other parameters remain unchanged the variation law of values of pressure angle depended on cam angle and indexing plate rotary radius is obtained respectively.