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Journal Articles Mechanics & Industry Year : 2013

Static and dynamic models for spiral bevel gears


This paper synthesizes a whole of work carried out on the spiral bevel gears from quasi-static and dynamic models viewpoint. A sophisticated quasi-static model makes it possible to calculate the tooth loads, the pressures, the instant mesh stiffness, and the deflections on the flanks of spiral bevel gears. Based on these results, two three-dimensional lumped parameter dynamic models are presented. The mechanical system under consideration comprises: a spiral bevel pinion and gear connected by a time-varying non-linear mesh stiffness function, and mounted on two shafts simulated by Timoshenko's beams supported by bearings. Two variants are considered which rely on different contact stiffness simulations: (a) using an averaged mesh stiffness function acting at the centroid of the loaded areas on tooth flanks and (b) a more local approach based on a discrete distribution of the local mesh stiffness, elements over the contact areas. A number of results are presented and commented which illustrate the interest of these dynamic models.

Dates and versions

hal-00808366 , version 1 (05-04-2013)



Joel Teixeira Alves, Jing Wang, Michele Guingand, Jean Pierre de Vaujany, Philippe Velex. Static and dynamic models for spiral bevel gears. Mechanics & Industry, 2013, 13 (05), pp.325--335. ⟨10.1051/meca/2012031⟩. ⟨hal-00808366⟩
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