Dynamic Response of Planetary Trains to Mesh Parametric Excitations

[+] Author and Article Information
P. Velex, L. Flamand

Laboratoire de Mécanique des Contacts, URA CNRS 856, INSA de Lyon, Bâtiment 113, 20, avenue Albert Einstein, 69621 Villeurbanne cedex, France

J. Mech. Des 118(1), 7-14 (Mar 01, 1996) (8 pages) doi:10.1115/1.2826860 History: Received November 01, 1994; Revised March 01, 1995; Online December 11, 2007


An extended three-dimensional model is used for calculating dynamic tooth loads on a planetary gear set. Time dependent mesh stiffnesses are determined and an original Ritz method aimed at solving large parametrically excited differential systems is proposed. Results from the Ritz method compare favorably with those given by direct integrations for highly reduced computation times. The difference between local critical speeds (for one individual mesh) and global critical speeds (for sun or ring gear-planet meshes) on a sequential spur gear train is pointed out. Finally, it is shown that, for linear behaviors, mesh stiffnesses are largely controlling dynamic tooth loads while the influence of a floating sun or ring gear is less important.

Copyright © 1996 by The American Society of Mechanical Engineers
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