THE CONTACT PROBLEM IN MULTIPARE CONVEX-CONCAVE PRECESSIONAL GEARING

Victor BALAN, Mihail KULEV

Abstract


The mathematical model for calculating the contact loads of the multipair convex-concave precessional gear is developed for each pair of gear teeth with the application of the hypothesis of the existence of the functional relationship in the form of powers between the ratio of the contact loads and the widths of the contact spots for each two adjacent pairs of teeth. The calculation program is developed in the MATHCAD environment. The contact forces per unit length of the teeth, the transmitted moments, the maximum pressures on the contact surfaces, the maximum equivalent stresses for each pair of teeth in contact are calculated. Numerical calculations show that the maximum load is taken by the first pair of teeth, and the minimum by the last. At the same time, the maximum stresses are in the last contact, and minimum in the first.


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References


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