Measurement and mathematical model of convexo-concave Novikov gear mesh. (September 2018)

• Record Type: Journal Article
• Authors: Batsch, M.; Markowski, T.; Legutko, S.; Krolczyk, G.M.
• Is Part Of: Measurement. Volume 125(2018)
• Page Start: 516
• Page End: 525
• Publication Date: 2018-09
• Subjects: Novikov gear mesh -- Precision manufacturing -- Rapid prototyping -- Tooth contact measurement; Weights and measures -- Periodicals; Measurement -- Periodicals; Measurement; Weights and measures; Periodicals; 530.8
• DOI: 10.1016/j.measurement.2018.04.095
• Languages: English
• ISSNs: 0263-2241

Abstract

Highlights: Mathematical model of analysed convexo-concave Novikov gear mesh. Parametric representation of tooth surfaces. Tooth contact analysis. Experimental verification of the developed model. Evaluation of proposed measurement method. Abstract: 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.