OPTIMIZATION OF PROFILE MODIFICATIONS WITH REGARD TO DYNAMIC TOOTH LOADS IN PLANETARY GEARS WITH FLEXIBLE RING-GEARS

Chapron Matthieu (1) , Samuel Becquerelle (2) , Philippe Velex (1) , Jérôme Bruyère (1)

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

This paper deals with the optimization of tooth profile modifications in planetary gears. A dynamic model is proposed based on 3D two-node gear elements connected to a deformable ring-gear discretized into beam elements. Symmetric tip relief on external and internal gear meshes are introduced as normal deviations along the lines of contact superimposed on a stiffness distribution aimed at simulating position- and time-varying mesh stiffness functions. The equations of motion are solved by the combination of a Newmark’s time-step integration scheme and a contact algorithm to account for possible partial or total contact losses. Symmetric linear profile modifications are then optimized by using a genetic algorithm with the objective of minimizing dynamic tooth loads over a speed range. Finally, the interest of the corresponding optimum profile modifications with regard to speed and torque variations is analyzed.

Mots clés: helical gear; double-helical gear; planetary gear; flexible ring-gear; profile modification; optimization

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

Chapron Matthieu, Samuel Becquerelle, Philippe Velex, Jérôme Bruyère. OPTIMIZATION OF PROFILE MODIFICATIONS WITH REGARD TO DYNAMIC TOOTH LOADS IN PLANETARY GEARS WITH FLEXIBLE RING-GEARS. International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2015, Boston, United States. ⟨hal-01271263⟩