A model for the quasi-static and dynamic simulations of bevel gears. (September 2022)

• Record Type: Journal Article
• Authors: Pigé, A.; Velex, P.; Lanquetin, R.; Cutuli, P.
• Is Part Of: Mechanism and machine theory. Volume 175(2022)
• Publication Date: 2022-09
• Subjects: Bevel gears -- Dynamic model -- Mesh interface -- Contact patterns -- Transmission errors; Machine theory -- Periodicals; Machinery -- Periodicals; Machines -- Périodiques; Génie mécanique -- Périodiques; Machine theory; Machinery; Periodicals; 621.81
• DOI: 10.1016/j.mechmachtheory.2022.104971
• Languages: English
• ISSNs: 0094-114X

Abstract

Highlights: An original model of elastic mesh interface is proposed. No a-priori knowledge of the contact patterns, mesh stiffness or transmission errors is needed. Integrated solution for the contacts on tooth flanks and dynamic characteristics. Comparisons with experimental contact patterns for several positioning errors. Dynamic contact patterns and multi-scale couplings. Abstract: An original mesh interface model for the static and dynamic simulations of bevel gears is presented. It is based on the superposition of several elastic foundations and accounts for elastic couplings between points of contact, while no hypothesis on tooth contact locations is needed. Comparisons with experimental contact patterns and transmission errors prove that the mesh model is sound. The combination of a time-step integration scheme and a unilateral normal contact algorithm gives access to instant contact patterns, loads and transmission errors as opposed to the classic models based on quasi-static characteristics. It is shown that load is highly influential on contact conditions in bevel gears and that dynamic effects can induce overloads and oscillatory contact patterns in the vicinity of critical speeds, thus emphasizing the possible interactions between the local (contact) and global (system) scales.