Analytical Investigations on the Mesh Stiffness Function of Solid Spur and Helical Gears

Xiaoyu Gu (1) , Philippe Velex (1) , Philippe Sainsot (1) , Jérôme Bruyère (1)

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

Approximate formulae are presented which give the time-varying mesh stiffness function for ideal solid spur and helical gears. The corresponding results compare very well with those obtained by using two-dimensional (2D) finite element (FE) models and specific benchmark software codes thus validating the proposed analytical approach. More deviations are reported on average mesh stiffness which, to a large extent, are due to the modeling of gear body deflections.

Mots clés: gears; mesh stiffness; finite element; analytical formulae

Domaines: Mécanique des solides [physics.class-ph]

Xiaoyu Gu, Philippe Velex, Philippe Sainsot, Jérôme Bruyère. Analytical Investigations on the Mesh Stiffness Function of Solid Spur and Helical Gears. Journal of Mechanical Design, 2015, 137, ⟨10.1115/1.4030272⟩. ⟨hal-01264223⟩