Based on the comprehensive analysis of previous research about the spiral bevel and hypoid gear, principle of forming spherical involute tooth surface was proposed with the spherical involute that was new theory applied in the field of their modeling. According to precise shape of tooth surfaces, each part of the quick and accurate derivations of the basic parametric equation of the tooth profi...

This research presents a method to design non-circular planetary gear. Therein the satellite gear block consists of eccentric cycloidal and elliptical gear, which have been given. The mathematical equations two ring gears are set up according gearing theory considering undercutting conditions. A numerical calculation program was written in Matlab calculate dynamically analyze this examples pres...