The distinctive modal properties of equally spaced planetary gears with elastic ring gears are studied through perturbation and a candidate mode method. All eigenfunctions fall into one of four mode types whose structured properties are derived analytically. Two perturbations are used to obtain closed-form expressions of all the eigenfunctions. In the discrete planetary perturbation, the unperturbed system is a discrete planetary gear with a rigid ring. The stiffness of the ring is perturbed from infinite to a finite number. In the elastic ring perturbation, the unperturbed system is an elastic ring supported by the ring-planet mesh springs; the sun, planet and carrier motions are treated as small perturbations. A subsequent candidate mode method analysis proves the perturbation results and removes any reliance on perturbation parameters being small. All vibration modes are classified into rotational, translational, planet, and purely ring modes. The well defined properties of each type of mode are analytically determined. All modal properties are verified numerically.
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Research Papers
Modal Properties of Planetary Gears With an Elastic Continuum Ring Gear
Xionghua Wu,
Xionghua Wu
Department of Mechanical Engineering,
The Ohio State University
, 201 W. 19th Avenue, Columbus, OH 43210
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Robert G. Parker
Robert G. Parker
Department of Mechanical Engineering,
e-mail: parker.242@osu.edu
The Ohio State University
, 201 W. 19th Avenue, Columbus, OH 43210
Search for other works by this author on:
Xionghua Wu
Department of Mechanical Engineering,
The Ohio State University
, 201 W. 19th Avenue, Columbus, OH 43210
Robert G. Parker
Department of Mechanical Engineering,
The Ohio State University
, 201 W. 19th Avenue, Columbus, OH 43210e-mail: parker.242@osu.edu
J. Appl. Mech. May 2008, 75(3): 031014 (12 pages)
Published Online: May 1, 2008
Article history
Received:
May 27, 2006
Revised:
November 8, 2007
Published:
May 1, 2008
Citation
Wu, X., and Parker, R. G. (May 1, 2008). "Modal Properties of Planetary Gears With an Elastic Continuum Ring Gear." ASME. J. Appl. Mech. May 2008; 75(3): 031014. https://doi.org/10.1115/1.2839892
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