Mathemtical Model of Teeth Profile of Duble Circular Arc Gear on Any Rotary Angle Position

On the basis of machining principle and outspread principle of involutes, the mathematical model of teeth profile of double cireular arc gear is built for any rotary angle position. The exepression is very simple, and it meedn' t translate coordinate during application. Any point on the teeth profile of double circular arc gear can be exactly and truly described at any corner pistion. The simple,exact and speedy caculation of double circular are gear has been carried out , The simple and new theory gist is offered for digital design,manufacture ,engagement analysis,kinematics and dynamics of double cirular arc gears.