On the analytical definition of profile modifications minimising transmission error variations in narrow-faced spur helical gears. (October 2015)

• Record Type: Journal Article
• Authors: Bruyère, J.; Gu, X.; Velex, Ph.
• Is Part Of: Mechanism and machine theory. Volume 92(2015:Oct.)
• Page Start: 257
• Page End: 272
• Publication Date: 2015-10
• Subjects: Gear -- Profile modifications -- Transmission error -- Optimum relief -- Analytical formulae dynamic tooth load; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2015.06.001
• Languages: English
• ISSNs: 0094-114X

Abstract

Abstract: Two original analytical formulations are presented which explicitly give the depths and extents of symmetric profile modifications minimising the fluctuations of quasi-static transmission error in narrow-faced spur and helical gears. Numerous comparisons with quasi-static and dynamic simulation results are presented which prove that the proposed theory is sound. The proposed formulae can therefore help define adapted reliefs in terms of transmission error and dynamic tooth loading with minimum effort. Highlights: We introduce an original approach to optimum relief minimising transmission error variations in spur and helical gears. Two design formulae for optimum profile relief are presented. A very good agreement is observed between the results of numerical simulations and those from the design formulae.