Dressing method of worm wheels for grinding face gears based on the principle of virtual phase transition

A method for dressing the worm wheel for grinding face gear with arbitrary modification amount by double cone dressing wheel is proposed. In order to ensure the machining accuracy and balance the machining time, the iteration method of tangent’s deviation is proposed and the nominal residual mean error is defined. In order to improve the versatility of the scheme, a double cone dressing wheel and a universal worm grinding machine are used to carry out the research. Considering the complex space position transition, the principle of virtual phase transition is proposed to achieve the equivalent replacement of the motion of the double cone dressing wheel by the motion of the crown worm wheel, which consists of the principle of virtual tool setting and the principle of rotating virtual center distance. Finally, a simulation experiments is carried out on the dressing process of the modification crown worm wheel. The result shows that this method can effectively realize the modification dressing process of the crown worm wheel for grinding face gear.