A tilted head-cutter is considered the generating tool for the generation of the proposed face-gear and a mathematical model of face-gear with curvilinear shaped teeth is developed according to the differential geometry and meshing theory. The generation of a conjugated pinion is based on application of a tilted head-cutter as well. Computer graphs of the gear with curvilinear shaped teeth are presented based on the developed gear’s mathematical model, and then the equation of the gear-tooth surface is deduced. An example is presented to demonstrate the application of the proposed mathematical model.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.