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According to the characteristic of the trapezoidal thread screw,at first,the equation of the cross- section shape intersecting line is deduced,and according to the concept of polar moment of inertia in material mechanics and superposition principle,the accurate calculation formula of threaded screw polar moment of inertia is got. In the formula,when the thread tooth angle take different values,the tooth shape is the different thread.

According to the principle of generation method and the case of Y38 hobbing machine spare wheels,the feasibility of the machining of few tooth gear with tooth number less than eight by using Y38 hobbing machine is theoretically analyzed. On the basis of the experiment,the reason why the hobbing machine can ’t start normally when machining the few teeth number gear is analyzed,and the renovation scheme is put forward.After transforming,the few tooth number gear can be machined by using the Y38 hobbing machine.