Measurement and mathematical model of convexo-concave Novikov gear mesh

This paper presents a novel measurement method and a mathematical model of external and internal convexo-concave Novikov gear mesh with a single line of action. Parametric equations of tooth surfaces as well as normal units were obtained. The mathematical model was applied in tooth contact analysis for sample gear pairs. The abovementioned analysis involved obtaining the line of action, paths of contact point on tooth surfaces and contact patterns. In addition, an experiment aiming at the verification of adopted mathematical model was carried out. The results confirm that the presented model can be used to simulate the phenomena at work in real gear mesh. The study and its verification proved good consistency of tooth contact analysis results based on a developed mathematical model with experimental data. Mean deviation between theoretical and experimental area of contact was 0.91% for external and 1.37% for internal gearing.