Gear is one of the most important mechanical parts of the transmission power in the modern industry

develop a new gear with good force condition is the research frontier in this f ield. Taking cylindrical gears with curvilinear shape tooth as research plant

f irstly

the forming principle is discussed

the tooth surface equation of cylindrical gears with curvilinear shape teeth is deduced based on the coordinate transformation and space meshing theory. Secondly

the autogenerat ion program of it is developed by using UG/ grip

which can meet the actual machining process. By analyzing the modeling principle and meshing motion of curvilinear gear

the correct meshing condition of curvilinear gear is obtained

the necessary theoretical basis for the design of curvilinear gear is provided.