Abstract
The tooth profile characteristics of the conical surface enveloping spiroid are taken into consideration. According to the formation mechanism, the equation of the helicoid of an enveloping spiroid is deduced. From this, the equation of the axial tooth profile is obtained. An approach is proposed to portray the axial tooth profile by means of the aforesaid equations. Two techniques are put forward to compute the tooth profile angle of the enveloping spiroid. One is based on the computation of the tangential vector of the tooth profile, and the other is based upon interpolation. The results attained from these two techniques are nearly accordant. Consequently, the theory and methodology are well verified and validated. A numerical example is provided and the effect law of the leading processing parameters on the axial tooth profile is pointed out.
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