Study on relief grinding interference checking method of toroidal worm wheel hob

Abstract

The cutting tooth density of the toroidal worm wheel hob affects the quality of the hobbed worm wheel surface. The more the number of the cutting teeth, the higher the accuracy of the hobbed worm wheel surfaces. However, if the tooth density is greater, it’s easier to cause the grinding wheel to interference with other cutting teeth when grinding the relief surfaces, and the structure of the adjacent cutting teeth will be damaged. Therefore, this paper studies the checking method of grinding interference of relief surfaces, and then puts forward a design method of the maximum cutting tooth density to avoid grinding interference. Based on the point contact generation method, a relief grinding method of the toroidal worm wheel hob is proposed, and the grinding motion model is established. By analyzing the grinding processes of each relief surface, the variation law of grinding interference is obtained, and the relief grinding checking method is established based on the defined interference angles. The maximum interference position is determined, and the maximum number of the cutting tooth to avoid grinding interference is obtained. The study provides the key theoretical basis for the precision manufacturing of the high-density complex toroidal worm wheel hob.