Based on the tooth profile generating theory of rack-shaped cutter of noncircular gear

the mathematical model of rack cutter and pitch curve of noncircular gear are established.By simulating the forming process of tooth profile with rack cutter

all non-circular gear tooth profile point data are calculated in Matlab

including the tooth root and addendum curve

tooth root transition curve and involutes curve.The tooth profile point data document consistent with Matlab is imported into UG

fitted to spline curve and then stretched

thus three-dimensional model of gear is achieved.The design results show that the accurate three-dimensional model of eccentric conjugated non-circular gear could be created by using of Matlab and UG

and tooth profile is smooth

which could be directly used by wire cutting CNC machine.