Parallel translating mechanism process-oriented mathematical model and 3-D model for cylindrical gears with curvilinear shaped teeth

For the main purpose of studying the tooth surface equation and undercutting conditions of the cylindrical gears with curvilinear shaped teeth processed by parallel translating mechanism,the tooth surface equation and meshing condition of the cylindrical gears with curvilinear shaped teeth processed by parallel translating mechanism were deduced by the method of differential geometry and coordinate transformation,based on considering cutting tool shape and installation position error. the undercutting line of the cylindrical gears with curvilinear shaped teeth processed by parallel translating mechanism was also calculated. the manufacturing process of the parallel translating mechanism was simulated in three-dimensional software and then the three dimensional solid model of cylindrical gears with curvilinear shaped teeth was obtained. the studies referred to in the present paper have a certain reference value for research,development and design of the cylindrical gears with curvilinear shaped teeth processed by parallel translating mechanism. © 2016 jordan journal of mechanical and industrial engineering.