On the modelling of spur and helical gear dynamic behaviour

Philippe Velex (1)

1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]

This chapter is aimed at introducing the fundamentals of spur and helical gear dynamics. Using three-dimensional lumped models and a thin-slice approach for mesh elasticity, the general equations of motion for single-stage spur or helical gears are presented. Some particular cases including the classic one degree-of-freedom model are examined in order to introduce and illustrate the basic phenomena. The interest of the concept of transmission errors is analysed and a number of practical considerations are deduced. Emphasis is deliberately placed on analytical results which, although approximate, allow a clearer understanding of gear dynamics than that provided by extensive numerical simulations. Some extensions towards continuous models are presented.

Mots clés: gears; simulation; dynamics; models

Domaines: Génie mécanique [physics.class-ph]; Génie mécanique [physics.class-ph]

Philippe Velex. On the modelling of spur and helical gear dynamic behaviour. Mechanical Engineering, InTech, pp.75-106, 2012, 978-953-51-0505-3. ⟨hal-00686997⟩