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Optimization of profile modifications with regard to dynamic tooth loads in single and double-helical planetary gears with flexible ring-gears

Abstract : This paper is mostly aimed at analyzing optimum profile modifications (PMs) in planetary gears (PGTs) with regard to dynamic mesh forces. To this end, a dynamic model is presented based on 3D two-node gear elements connected to deformable ring-gears discretized into beam elements. Double-helical gears are simulated as two gear elements of opposite hands which are linked by shaft elements. Symmetric tip relief on external and internal gear meshes are introduced as time-varying normal deviations along the lines of contact and time-varying mesh stiffness functions are deduced from Wrinckler foundation models. The equations of motion are solved by coupling a Newmark time-step integration scheme and a contact algo-rithm to account for possible partial or total contact losses. Symmetric linear PMs for helical and double-helical PGTs are optimized by using a genetic algorithm with the objective of minimizing dynamic tooth loads over a speed range. Finally, the sensitivity of these optimum PMs to speed and load is analyzed.
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https://hal.archives-ouvertes.fr/hal-01271259
Contributor : Jérôme Bruyère <>
Submitted on : Monday, February 8, 2016 - 9:58:43 PM
Last modification on : Wednesday, July 8, 2020 - 12:42:36 PM

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Chapron Matthieu, Philippe Velex, Jérôme Bruyère, Samuel Becquerelle. Optimization of profile modifications with regard to dynamic tooth loads in single and double-helical planetary gears with flexible ring-gears. Journal of Mechanical Design, American Society of Mechanical Engineers, 2016, 138, ⟨10.1115/1.4031939⟩. ⟨hal-01271259⟩

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